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INSTRUCTIONAL MATERIALS ADOPTION GENERIC EVALUATION CRITERIA 2005 TO 2011 Mathematics VENDOR: Glencoe/McGraw-Hill INSTRUCTIONAL MATERIALS: 8th Grade Mathematics SUBJECT: MathScape, Grade 8 COPYRIGHT DATE(S): 2005 GRADE: 8th SE ISBN: 0-07-860468-0 TE ISBN: 0-07-866821-2 R-E-S-P-O-N-S-E-S CRITERIA NOTES YES NO N/A I. INTER-ETHNIC The instructional materials meet the requirements of inter-ethnic: concept, content, and illustration, as set by West Virginia Board of Education Policy (Adopted December 1970). II. EQUAL OPPORTUNITY The instructional material meets the requirements of equal opportunity" concept, content, illustration, heritage, roles, contributions, experiences, and achievements of males and females in American and other cultures, as set by West Virginia Board of Education Policy (Adopted May 1975). 8th Glencoe McGraw-Hill 1

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INSTRUCTIONAL MATERIALS ADOPTION

GENERIC EVALUATION CRITERIA

2005 TO 2011

Mathematics

VENDOR: Glencoe/McGraw-Hill

INSTRUCTIONAL MATERIALS: 8th Grade Mathematics

SUBJECT: MathScape, Grade 8

COPYRIGHT DATE(S): 2005 GRADE: 8th

SE ISBN: 0-07-860468-0 TE ISBN: 0-07-866821-2

R-E-S-P-O-N-S-E-S CRITERIA NOTES

YES NO N/AI. INTER-ETHNIC

The instructional materials meet the

requirements of inter-ethnic: concept,

content, and illustration, as set by West

Virginia Board of Education Policy

(Adopted December 1970).

II. EQUAL OPPORTUNITY

The instructional material meets the

requirements of equal opportunity"

concept, content, illustration, heritage,

roles, contributions, experiences, and

achievements of males and females in

American and other cultures, as set by

West Virginia Board of Education Policy

(Adopted May 1975).

8th Glencoe McGraw-Hill

1

GRADE: 8th

VENDOR: Glencoe/McGraw-Hill INSTRUCTIONAL MATERIALS: 8th Grade

Mathematics

SUBJECT: MathScape, Grade 8 COPYRIGHT DATE(S): 2005

SE ISBN: 0-07-860468-0 TE ISBN: 0-07-866821-2

COMMENTS:

MATHEMATICS

INSTRUCTIONAL MATERIALS FOR TECHNOLOGY AND MANIPULATIVES The objectives continue the emphasis on the use of manipulatives, concrete material, and appropriate

technologies to give students the foundation needed to explore new mathematical concepts. West Virginia

teachers are responsible for analyzing the benefits of technology for learning and for integrating technology

appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each category

must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCTI =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level (1) are research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students with

opportunities to

1. Specific activities utilizing appropriate

software to develop, explore, and expand the

objectives.

2. Specific activities utilizing appropriate

calculators to develop, explore, and expand the

objectives.

3. References to or integration of audio/visual

materials that develop, explore, and expand the

objectives.

8th Glencoe McGraw-Hill

2

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

Nonexistent I A M N

4. References to or integration of Internet

resources that develop, explore, and expand the

objectives.

5. Specific ideas and activities utilizing

manipulatives to develop, explore, and expand

the objectives.

8th Glencoe McGraw-Hill

3

GRADE: 8th

VENDOR: Glencoe/McGraw-Hill INSTRUCTIONAL MATERIALS: 8th Grade

Mathematics

SUBJECT: MathScape, Grade 8 COPYRIGHT DATE(S): 2005

SE ISBN: 0-07-860468-0 TE ISBN: 0-07-866821-2

COMMENTS:

MATHEMATICS

SCIENTIFIC BASED RESEARCH COMPONENTS The objectives continue the emphasis on the use of manipulatives, concrete material, and appropriate

technologies to give students the foundation needed to explore new mathematical concepts. West Virginia

teachers are responsible for analyzing the benefits of technology for learning and for integrating technology

appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each category

must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCTI =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level (1) are research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students with

opportunities to

1. Provide in-depth investigations (discovery

activities) and open-ended tasks

(applications).

2. Provide opportunities for students to engage

in mathematical discussion (oral and written).

3. Provide opportunities for students to make

connections among mathematical topics.

4. Provide opportunities for students to make

connections between mathematics and its

applicability to the world.

8th Glencoe McGraw-Hill

4

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

Nonexistent I A M N

5. Offer suggestions/prompts for facilitating

classroom discussion and activities.

6. Provide a variety of methods to help students

with a range of abilities or learning styles or

interests.

7. Provide multiple means of assessment which

include reasoning/communication skills.

8. Provide continuous ongoing assessment

aligned with learning experiences.

8th Glencoe McGraw-Hill

5

GRADE: 8th

VENDOR: Glencoe/McGraw-Hill INSTRUCTIONAL MATERIALS: 8th Grade

Mathematics

SUBJECT: MathScape, Grade 8 COPYRIGHT DATE(S): 2005

SE ISBN: 0-07-860468-0 TE ISBN: 0-07-866821-2

COMMENTS:

MATHEMATICS

SPECIFIC CRITERIA FOR CONTENT AND SKILLS

EIGHTH GRADEPre-Geometry with Algebra provides an alternative course for students who do not elect to take Algebra I in

the eighth grade or who have not successfully mastered the new skills from Pre-Algebra with Geometry in the

seventh grade. In addition to reinforcing the concepts presented in Pre-Algebra with Geometry, this course

extends problem solving to a more sophisticated level. Students will continue to apply integer operations,

properties, expressions and equations so as to reinforce these concepts in varied applications. Lessons

involving cooperative learning, manipulatives, or technology will strengthen students’ understanding of

concepts while fostering communication and reasoning skills. Calculator use is emphasized for all

mathematical tasks including assessment. West Virginia teachers are responsible for analyzing the benefits of

technology for learning and for integrating technology appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each

category must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level must (1) be research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students

with opportunities to

A. NUMBER AND OPERATIONS

1. compare and order

a. rational numbers

b. irrational numbers (MA.8.1.1)

8th Glencoe McGraw-Hill

✔✔

6

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

2. utilize the properties of terminating, repeating,

and non-repeating decimals (MA.8.1.2)

3. make conversions between fractions, mixed

numbers, and decimals (MA.8.1.2)

4. extend scientific notation to numbers with a wide

range of values using a calculator when

appropriate (MA.8.1.3)

5. solve problems using powers, squares, and square

roots to solve problems (MA.8.1.4)

6. use estimation techniques to solve and verify

solutions in application problems with (MA.8.1.5)

whole numbers

decimals

percent

fractions

mixed numbers

7. solve application problems with whole numbers,

decimals, fractions, percents, and integer including,

but not limited to (MA.8.1.6)

rates

tips

discounts

sales tax

interest

8. develop computational strategies based on the

(MA.8.1.7)

commutative, associative, and identity properties

inverse and distributive properties

B. ALGEBRA

1. solve problems with numerical and algebraic

expressions containing whole numbers, integers,

absolute value, fractions, and exponents using

order-of-operations and/or exponential rules

(MA.8.2.1)

2. solve one and two step linear equations with

integers, fractions, and decimal solutions

(MA.8.2.2)

3. solve inequalities with integers, fractions, and

decimal solutions (MA.8.2.2)

4. use ratio and proportion to create and solve

equations (MA.8.2.3)

5. add and subtract polynomials limited to two

variables and positive exponents (MA.8.2.4)

8th Glencoe McGraw-Hill

7

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

6. apply algebraic equations and expressions to

solve application problems (MA.8.2.5)

7. apply inductive and deductive reasoning to write

a rule from data in a function table (MA.8.2.6)

8. graph linear equations and inequalities within the

Cartesian coordinate plane using ordered pairs

table of values and appropriate technology

(MA.8.2.7)

9. formulate and apply a rule to generate an

arithmetic, geometric, and algebraic pattern

(MA.8.2.8)

10. determine the slope of a line

given two-points

slope/y-intercept equation (y=mx+b)

(MA.8.2.9)

11. represent and solve real world

problems appropriate for eighth grade using

multiple strategies (MA.8.2.10)

C. GEOMETRY

1. investigate the relationship between

corresponding, alternate interior, and alternate

exterior angles when parallel lines are cut by a

transversal using models, pencil/paper, and

graphing calculator (MA.8.3.1)

2. classify polyhedrons according to the number and

shape of faces (MA.8.3.2)

3. determine the relationship between vertices,

faces, and edges of polyhedrons (MA.8.3.2)

4. identify, apply, and construct perpendicular and

angle bisectors (MA.8.3.3)

5. create geometric patterns using transformations

(rotation, reflection, translation) through

tiling

art design

tessellations

scaling (MA.8.3.4)

6. use coordinate geometry to represent and examine

properties of similar and congruent figures and

graph transformations (MA.8.3.5)

7. create scale models including ratio, proportion

and similar figures using pencil/paper, and dynamic

geometry software (MA.8.3.6)

8th Glencoe McGraw-Hill

8

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

D. MEASUREMENT

1. estimate and solve application problems

involving

perimeter

area

surface area

volume

of plane and solid geometric figures (MA.8.4.1)

2. use the concept of volume as one-third the

product of the area of the base and the height for

cone and pyramids (MA.8.4.2)

3. use formulas and drawings including irregular

figures, models, or definitions to solve problems

involving missing measurements in plane and

solid geometric figures (MA.8.4.3)

4. solve right triangle problems using the

Pythagorean Theorem, indirect measurement,

and definitions (Pythagorean Theorem,

Pythagorean Triples) (MA.8.4.4)

E. DATA ANALYSIS AND PROBABILITY

1. use appropriate technology to solve application

problems involving combinations and

permutations (MA.8.5.1)

2. investigate the experimental and theoretical

probability, including compound probability of an

event (MA.8.5.2)

3. create and extrapolate information from

(MA.8.5.3)

multiple-bar graphs

box and whisker plots

stem and leaf plots

scatter plots

line plots

4. determine probability and make predictions

through (MA.8.5.4)

analyzing problem situations

games of chance

consumer applications using statistical

samplings

5. draw inferences and construct convincing

arguments, including misuses of statistical or

numeric information, based on data analysis

(MA.8.5.5)

8th Glencoe McGraw-Hill

9

INSTRUCTIONAL MATERIALS ADOPTION

GENERIC EVALUATION CRITERIA

2005 TO 2011

Mathematics

VENDOR: Glencoe/McGraw-Hill

INSTRUCTIONAL MATERIALS: 8th Grade Mathematics

SUBJECT: Mathematics: Applications & Concepts, Course 3

COPYRIGHT DATE(S): 2004 GRADE: 8th

SE ISBN: 0-07-829635-8 TE ISBN: 0-07-867440-9

R-E-S-P-O-N-S-E-S CRITERIA NOTES

YES NO N/AI. INTER-ETHNIC

The instructional materials meet the

requirements of inter-ethnic: concept,

content, and illustration, as set by West

Virginia Board of Education Policy

(Adopted December 1970).

II. EQUAL OPPORTUNITY

The instructional material meets the

requirements of equal opportunity"

concept, content, illustration, heritage,

roles, contributions, experiences, and

achievements of males and females in

American and other cultures, as set by

West Virginia Board of Education Policy

(Adopted May 1975).

8th Glencoe McGraw-Hill

10

GRADE: 8th

VENDOR: Glencoe/McGraw-Hill INSTRUCTIONAL MATERIALS: 8th Grade

Mathematics

SUBJECT: Mathematics: Applications &

Concepts, Course 3

COPYRIGHT DATE(S): 2004

SE ISBN: 0-07-829635-8 TE ISBN: 0-07-867440-9

COMMENTS:

MATHEMATICS

INSTRUCTIONAL MATERIALS FOR TECHNOLOGY AND MANIPULATIVES The objectives continue the emphasis on the use of manipulatives, concrete material, and appropriate

technologies to give students the foundation needed to explore new mathematical concepts. West Virginia

teachers are responsible for analyzing the benefits of technology for learning and for integrating technology

appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each category

must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCTI =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level (1) are research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students with

opportunities to

1. Specific activities utilizing appropriate

software to develop, explore, and expand the

objectives.

2. Specific activities utilizing appropriate

calculators to develop, explore, and expand the

objectives.

3. References to or integration of audio/visual

materials that develop, explore, and expand the

objectives.

8th Glencoe McGraw-Hill

11

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

Nonexistent I A M N

4. References to or integration of Internet

resources that develop, explore, and expand the

objectives.

5. Specific ideas and activities utilizing

manipulatives to develop, explore, and expand

the objectives.

8th Glencoe McGraw-Hill

12

GRADE: 8th

VENDOR: Glencoe/McGraw-Hill INSTRUCTIONAL MATERIALS: 8th Grade

Mathematics

SUBJECT: Mathematics: Applications &

Concepts, Course 3

COPYRIGHT DATE(S): 2004

SE ISBN: 0-07-829635-8 TE ISBN: 0-07-867440-9

COMMENTS:

MATHEMATICS

SCIENTIFIC BASED RESEARCH COMPONENTS The objectives continue the emphasis on the use of manipulatives, concrete material, and appropriate

technologies to give students the foundation needed to explore new mathematical concepts. West Virginia

teachers are responsible for analyzing the benefits of technology for learning and for integrating technology

appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each category

must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCTI =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level (1) are research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students with

opportunities to

1. Provide in-depth investigations (discovery

activities) and open-ended tasks

(applications).

2. Provide opportunities for students to engage

in mathematical discussion (oral and written).

3. Provide opportunities for students to make

connections among mathematical topics.

4. Provide opportunities for students to make

connections between mathematics and its

applicability to the world.

8th Glencoe McGraw-Hill

13

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

Nonexistent I A M N

5. Offer suggestions/prompts for facilitating

classroom discussion and activities.

6. Provide a variety of methods to help students

with a range of abilities or learning styles or

interests.

7. Provide multiple means of assessment which

include reasoning/communication skills.

8. Provide continuous ongoing assessment

aligned with learning experiences.

8th Glencoe McGraw-Hill

14

GRADE: 8th

VENDOR: Glencoe/McGraw-Hill INSTRUCTIONAL MATERIALS: 8th Grade

Mathematics

SUBJECT: Mathematics: Applications

& Concepts, Course 3

COPYRIGHT DATE(S): 2004

SE ISBN: 0-07-829635-8 TE ISBN: 0-07-867440-9

COMMENTS:

MATHEMATICS

SPECIFIC CRITERIA FOR CONTENT AND SKILLS

EIGHTH GRADEPre-Geometry with Algebra provides an alternative course for students who do not elect to take Algebra I in

the eighth grade or who have not successfully mastered the new skills from Pre-Algebra with Geometry in the

seventh grade. In addition to reinforcing the concepts presented in Pre-Algebra with Geometry, this course

extends problem solving to a more sophisticated level. Students will continue to apply integer operations,

properties, expressions and equations so as to reinforce these concepts in varied applications. Lessons

involving cooperative learning, manipulatives, or technology will strengthen students’ understanding of

concepts while fostering communication and reasoning skills. Calculator use is emphasized for all

mathematical tasks including assessment. West Virginia teachers are responsible for analyzing the benefits of

technology for learning and for integrating technology appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each

category must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level must (1) be research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students

with opportunities to

A. NUMBER AND OPERATIONS

1. compare and order

a. rational numbers

b. irrational numbers (MA.8.1.1)

8th Glencoe McGraw-Hill

15

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

2. utilize the properties of terminating, repeating,

and non-repeating decimals (MA.8.1.2)

3. make conversions between fractions, mixed

numbers, and decimals (MA.8.1.2)

4. extend scientific notation to numbers with a wide

range of values using a calculator when

appropriate (MA.8.1.3)

5. solve problems using powers, squares, and square

roots to solve problems (MA.8.1.4)

6. use estimation techniques to solve and verify

solutions in application problems with (MA.8.1.5)

whole numbers

decimals

percent

fractions

mixed numbers

7. solve application problems with whole numbers,

decimals, fractions, percents, and integer including,

but not limited to (MA.8.1.6)

rates

tips

discounts

sales tax

interest

8. develop computational strategies based on the

(MA.8.1.7)

commutative, associative, and identity properties

inverse and distributive properties

B. ALGEBRA

1. solve problems with numerical and algebraic

expressions containing whole numbers, integers,

absolute value, fractions, and exponents using

order-of-operations and/or exponential rules

(MA.8.2.1)

2. solve one and two step linear equations with

integers, fractions, and decimal solutions

(MA.8.2.2)

3. solve inequalities with integers, fractions, and

decimal solutions (MA.8.2.2)

4. use ratio and proportion to create and solve

equations (MA.8.2.3)

5. add and subtract polynomials limited to two

variables and positive exponents (MA.8.2.4)

8th Glencoe McGraw-Hill

16

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

6. apply algebraic equations and expressions to

solve application problems (MA.8.2.5)

7. apply inductive and deductive reasoning to write

a rule from data in a function table (MA.8.2.6)

8. graph linear equations and inequalities within the

Cartesian coordinate plane using ordered pairs

table of values and appropriate technology

(MA.8.2.7)

9. formulate and apply a rule to generate an

arithmetic, geometric, and algebraic pattern

(MA.8.2.8)

10. determine the slope of a line

given two-points

slope/y-intercept equation (y=mx+b)

(MA.8.2.9)

11. represent and solve real world

problems appropriate for eighth grade using

multiple strategies (MA.8.2.10)

C. GEOMETRY

1. investigate the relationship between

corresponding, alternate interior, and alternate

exterior angles when parallel lines are cut by a

transversal using models, pencil/paper, and

graphing calculator (MA.8.3.1)

2. classify polyhedrons according to the number and

shape of faces (MA.8.3.2)

3. determine the relationship between vertices,

faces, and edges of polyhedrons (MA.8.3.2)

4. identify, apply, and construct perpendicular and

angle bisectors (MA.8.3.3)

5. create geometric patterns using transformations

(rotation, reflection, translation) through

tiling

art design

tessellations

scaling (MA.8.3.4)

6. use coordinate geometry to represent and examine

properties of similar and congruent figures and

graph transformations (MA.8.3.5)

7. create scale models including ratio, proportion

and similar figures using pencil/paper, and dynamic

geometry software (MA.8.3.6)

8th Glencoe McGraw-Hill

17

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

D. MEASUREMENT

1. estimate and solve application problems

involving

perimeter

area

surface area

volume

of plane and solid geometric figures (MA.8.4.1)

2. use the concept of volume as one-third the

product of the area of the base and the height for

cone and pyramids (MA.8.4.2)

3. use formulas and drawings including irregular

figures, models, or definitions to solve problems

involving missing measurements in plane and

solid geometric figures (MA.8.4.3)

4. solve right triangle problems using the

Pythagorean Theorem, indirect measurement,

and definitions (Pythagorean Theorem,

Pythagorean Triples) (MA.8.4.4)

E. DATA ANALYSIS AND PROBABILITY

1. use appropriate technology to solve application

problems involving combinations and

permutations (MA.8.5.1)

2. investigate the experimental and theoretical

probability, including compound probability of an

event (MA.8.5.2)

3. create and extrapolate information from

(MA.8.5.3)

multiple-bar graphs

box and whisker plots

stem and leaf plots

scatter plots

line plots

4. determine probability and make predictions

through (MA.8.5.4)

analyzing problem situations

games of chance

consumer applications using statistical

samplings

5. draw inferences and construct convincing

arguments, including misuses of statistical or

numeric information, based on data analysis

(MA.8.5.5)

8th Glencoe McGraw-Hill

18

INSTRUCTIONAL MATERIALS ADOPTION

GENERIC EVALUATION CRITERIA

2005 TO 2011

Mathematics

VENDOR: Holt, Rinehart and Winston

INSTRUCTIONAL MATERIALS: Mathematics - Algebra Preparation

SUBJECT: Holt Pre-Algebra

COPYRIGHT DATE(S): 2004 GRADE: 8th

SE ISBN: 0-03-069609-7 TE ISBN: 0-03-039699-9

R-E-S-P-O-N-S-E-S CRITERIA NOTES

YES NO N/AI. INTER-ETHNIC

The instructional materials meet the

requirements of inter-ethnic: concept,

content, and illustration, as set by West

Virginia Board of Education Policy

(Adopted December 1970).

II. EQUAL OPPORTUNITY

The instructional material meets the

requirements of equal opportunity"

concept, content, illustration, heritage,

roles, contributions, experiences, and

achievements of males and females in

American and other cultures, as set by

West Virginia Board of Education Policy

(Adopted May 1975).

8th Holt

19

GRADE: 8th

VENDOR: Holt, Rinehart and Winston INSTRUCTIONAL MATERIALS:

Mathematics - Algebra Preparation

SUBJECT: Holt Pre-Algebra COPYRIGHT DATE(S): 2004

SE ISBN: 0-03-069609-7 TE ISBN: 0-03-039699-9

COMMENTS:

MATHEMATICS

INSTRUCTIONAL MATERIALS FOR TECHNOLOGY AND MANIPULATIVES The objectives continue the emphasis on the use of manipulatives, concrete material, and appropriate

technologies to give students the foundation needed to explore new mathematical concepts. West Virginia

teachers are responsible for analyzing the benefits of technology for learning and for integrating technology

appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each category

must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCTI =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level (1) are research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students with

opportunities to

1. Specific activities utilizing appropriate

software to develop, explore, and expand the

objectives.

2. Specific activities utilizing appropriate

calculators to develop, explore, and expand the

objectives.

3. References to or integration of audio/visual

materials that develop, explore, and expand the

objectives.

8th Holt

20

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

Nonexistent I A M N

4. References to or integration of Internet

resources that develop, explore, and expand the

objectives.

5. Specific ideas and activities utilizing

manipulatives to develop, explore, and expand

the objectives.

8th Holt

21

GRADE: 8th

VENDOR: Holt, Rinehart and Winston INSTRUCTIONAL MATERIALS:

Mathematics - Algebra Preparation

SUBJECT: Holt Pre-Algebra COPYRIGHT DATE(S): 2004

SE ISBN: 0-03-069609-7 TE ISBN: 0-03-039699-9

COMMENTS:

MATHEMATICS

SCIENTIFIC BASED RESEARCH COMPONENTS The objectives continue the emphasis on the use of manipulatives, concrete material, and appropriate

technologies to give students the foundation needed to explore new mathematical concepts. West Virginia

teachers are responsible for analyzing the benefits of technology for learning and for integrating technology

appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each category

must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCTI =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level (1) are research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students with

opportunities to

1. Provide in-depth investigations (discovery

activities) and open-ended tasks

(applications).

2. Provide opportunities for students to engage

in mathematical discussion (oral and written).

3. Provide opportunities for students to make

connections among mathematical topics.

4. Provide opportunities for students to make

connections between mathematics and its

applicability to the world.

8th Holt

22

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

Nonexistent I A M N

5. Offer suggestions/prompts for facilitating

classroom discussion and activities.

6. Provide a variety of methods to help students

with a range of abilities or learning styles or

interests.

7. Provide multiple means of assessment which

include reasoning/communication skills.

8. Provide continuous ongoing assessment

aligned with learning experiences.

8th Holt

23

GRADE: 8th

VENDOR: Holt, Rinehart and Winston INSTRUCTIONAL MATERIALS: Mathematics -

Algebra Preparation

SUBJECT: Holt Pre-Algebra COPYRIGHT DATE(S): 2004

SE ISBN: 0-03-069609-7 TE ISBN: 0-03-039699-9

COMMENTS:

MATHEMATICS

SPECIFIC CRITERIA FOR CONTENT AND SKILLS

EIGHTH GRADEPre-Geometry with Algebra provides an alternative course for students who do not elect to take Algebra I in

the eighth grade or who have not successfully mastered the new skills from Pre-Algebra with Geometry in the

seventh grade. In addition to reinforcing the concepts presented in Pre-Algebra with Geometry, this course

extends problem solving to a more sophisticated level. Students will continue to apply integer operations,

properties, expressions and equations so as to reinforce these concepts in varied applications. Lessons

involving cooperative learning, manipulatives, or technology will strengthen students’ understanding of

concepts while fostering communication and reasoning skills. Calculator use is emphasized for all

mathematical tasks including assessment. West Virginia teachers are responsible for analyzing the benefits of

technology for learning and for integrating technology appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each

category must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level must (1) be research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students

with opportunities to

A. NUMBER AND OPERATIONS

1. compare and order

a. rational numbers

b. irrational numbers (MA.8.1.1)

8th Holt

24

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

2. utilize the properties of terminating, repeating,

and non-repeating decimals (MA.8.1.2)

3. make conversions between fractions, mixed

numbers, and decimals (MA.8.1.2)

4. extend scientific notation to numbers with a wide

range of values using a calculator when

appropriate (MA.8.1.3)

5. solve problems using powers, squares, and square

roots to solve problems (MA.8.1.4)

6. use estimation techniques to solve and verify

solutions in application problems with (MA.8.1.5)

whole numbers

decimals

percent

fractions

mixed numbers

7. solve application problems with whole numbers,

decimals, fractions, percents, and integer including,

but not limited to (MA.8.1.6)

rates

tips

discounts

sales tax

interest

8. develop computational strategies based on the

(MA.8.1.7)

commutative, associative, and identity properties

inverse and distributive properties

B. ALGEBRA

1. solve problems with numerical and algebraic

expressions containing whole numbers, integers,

absolute value, fractions, and exponents using

order-of-operations and/or exponential rules

(MA.8.2.1)

2. solve one and two step linear equations with

integers, fractions, and decimal solutions

(MA.8.2.2)

3. solve inequalities with integers, fractions, and

decimal solutions (MA.8.2.2)

4. use ratio and proportion to create and solve

equations (MA.8.2.3)

5. add and subtract polynomials limited to two

variables and positive exponents (MA.8.2.4)

8th Holt

25

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

6. apply algebraic equations and expressions to

solve application problems (MA.8.2.5)

7. apply inductive and deductive reasoning to write

a rule from data in a function table (MA.8.2.6)

8. graph linear equations and inequalities within the

Cartesian coordinate plane using ordered pairs

table of values and appropriate technology

(MA.8.2.7)

9. formulate and apply a rule to generate an

arithmetic, geometric, and algebraic pattern

(MA.8.2.8)

10. determine the slope of a line

given two-points

slope/y-intercept equation (y=mx+b)

(MA.8.2.9)

11. represent and solve real world

problems appropriate for eighth grade using

multiple strategies (MA.8.2.10)

C. GEOMETRY

1. investigate the relationship between

corresponding, alternate interior, and alternate

exterior angles when parallel lines are cut by a

transversal using models, pencil/paper, and

graphing calculator (MA.8.3.1)

2. classify polyhedrons according to the number and

shape of faces (MA.8.3.2)

3. determine the relationship between vertices,

faces, and edges of polyhedrons (MA.8.3.2)

4. identify, apply, and construct perpendicular and

angle bisectors (MA.8.3.3)

5. create geometric patterns using transformations

(rotation, reflection, translation) through

tiling

art design

tessellations

scaling (MA.8.3.4)

6. use coordinate geometry to represent and examine

properties of similar and congruent figures and

graph transformations (MA.8.3.5)

7. create scale models including ratio, proportion

and similar figures using pencil/paper, and dynamic

geometry software (MA.8.3.6)

8th Holt

26

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

D. MEASUREMENT

1. estimate and solve application problems

involving

perimeter

area

surface area

volume

of plane and solid geometric figures (MA.8.4.1)

2. use the concept of volume as one-third the

product of the area of the base and the height for

cone and pyramids (MA.8.4.2)

3. use formulas and drawings including irregular

figures, models, or definitions to solve problems

involving missing measurements in plane and

solid geometric figures (MA.8.4.3)

4. solve right triangle problems using the

Pythagorean Theorem, indirect measurement,

and definitions (Pythagorean Theorem,

Pythagorean Triples) (MA.8.4.4)

E. DATA ANALYSIS AND PROBABILITY

1. use appropriate technology to solve application

problems involving combinations and

permutations (MA.8.5.1)

2. investigate the experimental and theoretical

probability, including compound probability of an

event (MA.8.5.2)

3. create and extrapolate information from

(MA.8.5.3)

multiple-bar graphs

box and whisker plots

stem and leaf plots

scatter plots

line plots

4. determine probability and make predictions

through (MA.8.5.4)

analyzing problem situations

games of chance

consumer applications using statistical

samplings

5. draw inferences and construct convincing

arguments, including misuses of statistical or

numeric information, based on data analysis

(MA.8.5.5)

8th Holt

27

INSTRUCTIONAL MATERIALS ADOPTION

GENERIC EVALUATION CRITERIA

2005 TO 2011

Mathematics

VENDOR: Holt, Rinehart and Winston

INSTRUCTIONAL MATERIALS: Mathematics - Eighth Grade Math

SUBJECT: Holt Middle School Math, Course 3

COPYRIGHT DATE(S): 2004 GRADE: 8th

SE ISBN: 0-03-065179-4 TE ISBN: 0-03-037976-8

R-E-S-P-O-N-S-E-S CRITERIA NOTES

YES NO N/AI. INTER-ETHNIC

The instructional materials meet the

requirements of inter-ethnic: concept,

content, and illustration, as set by West

Virginia Board of Education Policy

(Adopted December 1970).

II. EQUAL OPPORTUNITY

The instructional material meets the

requirements of equal opportunity"

concept, content, illustration, heritage,

roles, contributions, experiences, and

achievements of males and females in

American and other cultures, as set by

West Virginia Board of Education Policy

(Adopted May 1975).

8th Holt

28

GRADE: 8th

VENDOR: Holt, Rinehart and Winston INSTRUCTIONAL MATERIALS:

Mathematics - Eighth Grade Math

SUBJECT: Holt Middle School Math, Course

3

COPYRIGHT DATE(S): 2004

SE ISBN: 0-03-065179-4 TE ISBN: 0-03-037976-8

COMMENTS:

MATHEMATICS

INSTRUCTIONAL MATERIALS FOR TECHNOLOGY AND MANIPULATIVES The objectives continue the emphasis on the use of manipulatives, concrete material, and appropriate

technologies to give students the foundation needed to explore new mathematical concepts. West Virginia

teachers are responsible for analyzing the benefits of technology for learning and for integrating technology

appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each category

must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCTI =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level (1) are research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students with

opportunities to

1. Specific activities utilizing appropriate

software to develop, explore, and expand the

objectives.

2. Specific activities utilizing appropriate

calculators to develop, explore, and expand the

objectives.

3. References to or integration of audio/visual

materials that develop, explore, and expand the

objectives.

8th Holt

29

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

Nonexistent I A M N

4. References to or integration of Internet

resources that develop, explore, and expand the

objectives.

5. Specific ideas and activities utilizing

manipulatives to develop, explore, and expand

the objectives.

8th Holt

30

GRADE: 8th

VENDOR: Holt, Rinehart and Winston INSTRUCTIONAL MATERIALS:

Mathematics - Eighth Grade Math

SUBJECT: Holt Middle School Math, Course

3

COPYRIGHT DATE(S): 2004

SE ISBN: 0-03-065179-4 TE ISBN: 0-03-037976-8

COMMENTS:

MATHEMATICS

SCIENTIFIC BASED RESEARCH COMPONENTS The objectives continue the emphasis on the use of manipulatives, concrete material, and appropriate

technologies to give students the foundation needed to explore new mathematical concepts. West Virginia

teachers are responsible for analyzing the benefits of technology for learning and for integrating technology

appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each category

must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCTI =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level (1) are research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students with

opportunities toIf Math in Context isincluded in bid.

.

1. Provide in-depth investigations (discovery

activities) and open-ended tasks

(applications).

2. Provide opportunities for students to engage

in mathematical discussion (oral and written).

3. Provide opportunities for students to make

connections among mathematical topics.

4. Provide opportunities for students to make

connections between mathematics and its

applicability to the world.

8th Holt

31

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

Nonexistent I A M N

5. Offer suggestions/prompts for facilitating

classroom discussion and activities.

6. Provide a variety of methods to help students

with a range of abilities or learning styles or

interests.

7. Provide multiple means of assessment which

include reasoning/communication skills.

8. Provide continuous ongoing assessment

aligned with learning experiences.

8th Holt

32

GRADE: 8th

VENDOR: Holt, Rinehart and Winston INSTRUCTIONAL MATERIALS: Mathematics -

Eighth Grade Math

SUBJECT: Holt Middle School Math,

Course 3

COPYRIGHT DATE(S): 2004

SE ISBN: 0-03-065179-4 TE ISBN: 0-03-037976-8

COMMENTS:

MATHEMATICS

SPECIFIC CRITERIA FOR CONTENT AND SKILLS

EIGHTH GRADEPre-Geometry with Algebra provides an alternative course for students who do not elect to take Algebra I in

the eighth grade or who have not successfully mastered the new skills from Pre-Algebra with Geometry in the

seventh grade. In addition to reinforcing the concepts presented in Pre-Algebra with Geometry, this course

extends problem solving to a more sophisticated level. Students will continue to apply integer operations,

properties, expressions and equations so as to reinforce these concepts in varied applications. Lessons

involving cooperative learning, manipulatives, or technology will strengthen students’ understanding of

concepts while fostering communication and reasoning skills. Calculator use is emphasized for all

mathematical tasks including assessment. West Virginia teachers are responsible for analyzing the benefits of

technology for learning and for integrating technology appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each

category must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level must (1) be research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students

with opportunities to

A. NUMBER AND OPERATIONS

1. compare and order

a. rational numbers

b. irrational numbers (MA.8.1.1)

8th Holt

33

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

2. utilize the properties of terminating, repeating,

and non-repeating decimals (MA.8.1.2)

3. make conversions between fractions, mixed

numbers, and decimals (MA.8.1.2)

4. extend scientific notation to numbers with a wide

range of values using a calculator when

appropriate (MA.8.1.3)

5. solve problems using powers, squares, and square

roots to solve problems (MA.8.1.4)

6. use estimation techniques to solve and verify

solutions in application problems with (MA.8.1.5)

whole numbers

decimals

percent

fractions

mixed numbers

7. solve application problems with whole numbers,

decimals, fractions, percents, and integer including,

but not limited to (MA.8.1.6)

rates

tips

discounts

sales tax

interest

8. develop computational strategies based on the

(MA.8.1.7)

commutative, associative, and identity properties

inverse and distributive properties

B. ALGEBRA

1. solve problems with numerical and algebraic

expressions containing whole numbers, integers,

absolute value, fractions, and exponents using

order-of-operations and/or exponential rules

(MA.8.2.1)

2. solve one and two step linear equations with

integers, fractions, and decimal solutions

(MA.8.2.2)

3. solve inequalities with integers, fractions, and

decimal solutions (MA.8.2.2)

4. use ratio and proportion to create and solve

equations (MA.8.2.3)

5. add and subtract polynomials limited to two

variables and positive exponents (MA.8.2.4)

8th Holt

34

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

6. apply algebraic equations and expressions to

solve application problems (MA.8.2.5)

7. apply inductive and deductive reasoning to write

a rule from data in a function table (MA.8.2.6)

8. graph linear equations and inequalities within the

Cartesian coordinate plane using ordered pairs

table of values and appropriate technology

(MA.8.2.7)

9. formulate and apply a rule to generate an

arithmetic, geometric, and algebraic pattern

(MA.8.2.8)

10. determine the slope of a line

given two-points

slope/y-intercept equation (y=mx+b)

(MA.8.2.9)

11. represent and solve real world

problems appropriate for eighth grade using

multiple strategies (MA.8.2.10)

C. GEOMETRY

1. investigate the relationship between

corresponding, alternate interior, and alternate

exterior angles when parallel lines are cut by a

transversal using models, pencil/paper, and

graphing calculator (MA.8.3.1)

2. classify polyhedrons according to the number and

shape of faces (MA.8.3.2)

3. determine the relationship between vertices,

faces, and edges of polyhedrons (MA.8.3.2)

4. identify, apply, and construct perpendicular and

angle bisectors (MA.8.3.3)

5. create geometric patterns using transformations

(rotation, reflection, translation) through

tiling

art design

tessellations

scaling (MA.8.3.4)

6. use coordinate geometry to represent and examine

properties of similar and congruent figures and

graph transformations (MA.8.3.5)

7. create scale models including ratio, proportion

and similar figures using pencil/paper, and dynamic

geometry software (MA.8.3.6)

8th Holt

35

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

D. MEASUREMENT

1. estimate and solve application problems

involving

perimeter

area

surface area

volume

of plane and solid geometric figures (MA.8.4.1)

2. use the concept of volume as one-third the

product of the area of the base and the height for

cone and pyramids (MA.8.4.2)

3. use formulas and drawings including irregular

figures, models, or definitions to solve problems

involving missing measurements in plane and

solid geometric figures (MA.8.4.3)

4. solve right triangle problems using the

Pythagorean Theorem, indirect measurement,

and definitions (Pythagorean Theorem,

Pythagorean Triples) (MA.8.4.4)

E. DATA ANALYSIS AND PROBABILITY

1. use appropriate technology to solve application

problems involving combinations and

permutations (MA.8.5.1)

2. investigate the experimental and theoretical

probability, including compound probability of an

event (MA.8.5.2)

3. create and extrapolate information from

(MA.8.5.3)

multiple-bar graphs

box and whisker plots

stem and leaf plots

scatter plots

line plots

4. determine probability and make predictions

through (MA.8.5.4)

analyzing problem situations

games of chance

consumer applications using statistical

samplings

5. draw inferences and construct convincing

arguments, including misuses of statistical or

numeric information, based on data analysis

(MA.8.5.5)

8th Holt

36

INSTRUCTIONAL MATERIALS ADOPTION

GENERIC EVALUATION CRITERIA

2005 TO 2011

Mathematics

VENDOR: McDougal Littell

INSTRUCTIONAL MATERIALS: McDougal Littell

SUBJECT: McDougal Littell Pre-Algebra

COPYRIGHT DATE(S): 2005 GRADE: 8th

SE ISBN: 0-618-25003-4 TE ISBN: 0-618-25004-2

R-E-S-P-O-N-S-E-S CRITERIA NOTES

YES NO N/AI. INTER-ETHNIC

The instructional materials meet the

requirements of inter-ethnic: concept,

content, and illustration, as set by West

Virginia Board of Education Policy

(Adopted December 1970).

II. EQUAL OPPORTUNITY

The instructional material meets the

requirements of equal opportunity"

concept, content, illustration, heritage,

roles, contributions, experiences, and

achievements of males and females in

American and other cultures, as set by

West Virginia Board of Education Policy

(Adopted May 1975).

8th McDougal Littell

37

GRADE: 8th

VENDOR: McDougal Littell INSTRUCTIONAL MATERIALS: McDougal

Littell

SUBJECT: McDougal Littell Pre-Algebra COPYRIGHT DATE(S): 2005

SE ISBN: 0-618-25003-4 TE ISBN: 0-618-25004-2

COMMENTS:

MATHEMATICS

INSTRUCTIONAL MATERIALS FOR TECHNOLOGY AND MANIPULATIVES The objectives continue the emphasis on the use of manipulatives, concrete material, and appropriate

technologies to give students the foundation needed to explore new mathematical concepts. West Virginia

teachers are responsible for analyzing the benefits of technology for learning and for integrating technology

appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each category

must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCTI =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level (1) are research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students with

opportunities to

1. Specific activities utilizing appropriate

software to develop, explore, and expand the

objectives.

2. Specific activities utilizing appropriate

calculators to develop, explore, and expand the

objectives.

3. References to or integration of audio/visual

materials that develop, explore, and expand the

objectives.

8th McDougal Littell

38

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

Nonexistent I A M N

4. References to or integration of Internet

resources that develop, explore, and expand the

objectives.

5. Specific ideas and activities utilizing

manipulatives to develop, explore, and expand

the objectives.

8th McDougal Littell

39

GRADE: 8th

VENDOR: McDougal Littell INSTRUCTIONAL MATERIALS: McDougal

Littell

SUBJECT: McDougal Littell Pre-Algebra COPYRIGHT DATE(S): 2005

SE ISBN: 0-618-25003-4 TE ISBN: 0-618-25004-2

COMMENTS:

MATHEMATICS

SCIENTIFIC BASED RESEARCH COMPONENTS The objectives continue the emphasis on the use of manipulatives, concrete material, and appropriate

technologies to give students the foundation needed to explore new mathematical concepts. West Virginia

teachers are responsible for analyzing the benefits of technology for learning and for integrating technology

appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each category

must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCTI =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level (1) are research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students with

opportunities to

1. Provide in-depth investigations (discovery

activities) and open-ended tasks

(applications).

2. Provide opportunities for students to engage

in mathematical discussion (oral and written).

3. Provide opportunities for students to make

connections among mathematical topics.

4. Provide opportunities for students to make

connections between mathematics and its

applicability to the world.

8th McDougal Littell

40

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

Nonexistent I A M N

5. Offer suggestions/prompts for facilitating

classroom discussion and activities.

6. Provide a variety of methods to help students

with a range of abilities or learning styles or

interests.

7. Provide multiple means of assessment which

include reasoning/communication skills.

8. Provide continuous ongoing assessment

aligned with learning experiences.

8th McDougal Littell

41

GRADE: 8th

VENDOR: McDougal Littell INSTRUCTIONAL MATERIALS: McDougal Littell

SUBJECT: McDougal Littell Pre-

Algebra

COPYRIGHT DATE(S): 2005

SE ISBN: 0-618-25003-4 TE ISBN: 0-618-25004-2

COMMENTS:

MATHEMATICS

SPECIFIC CRITERIA FOR CONTENT AND SKILLS

EIGHTH GRADEPre-Geometry with Algebra provides an alternative course for students who do not elect to take Algebra I in

the eighth grade or who have not successfully mastered the new skills from Pre-Algebra with Geometry in the

seventh grade. In addition to reinforcing the concepts presented in Pre-Algebra with Geometry, this course

extends problem solving to a more sophisticated level. Students will continue to apply integer operations,

properties, expressions and equations so as to reinforce these concepts in varied applications. Lessons

involving cooperative learning, manipulatives, or technology will strengthen students’ understanding of

concepts while fostering communication and reasoning skills. Calculator use is emphasized for all

mathematical tasks including assessment. West Virginia teachers are responsible for analyzing the benefits of

technology for learning and for integrating technology appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each

category must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level must (1) be research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students

with opportunities to

A. NUMBER AND OPERATIONS

1. compare and order

a. rational numbers

b. irrational numbers (MA.8.1.1)

8th McDougal Littell

42

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

2. utilize the properties of terminating, repeating,

and non-repeating decimals (MA.8.1.2)

3. make conversions between fractions, mixed

numbers, and decimals (MA.8.1.2)

4. extend scientific notation to numbers with a wide

range of values using a calculator when

appropriate (MA.8.1.3)

5. solve problems using powers, squares, and square

roots to solve problems (MA.8.1.4)

6. use estimation techniques to solve and verify

solutions in application problems with (MA.8.1.5)

whole numbers

decimals

percent

fractions

mixed numbers

7. solve application problems with whole numbers,

decimals, fractions, percents, and integer including,

but not limited to (MA.8.1.6)

rates

tips

discounts

sales tax

interest

8. develop computational strategies based on the

(MA.8.1.7)

commutative, associative, and identity properties

inverse and distributive properties

B. ALGEBRA

1. solve problems with numerical and algebraic

expressions containing whole numbers, integers,

absolute value, fractions, and exponents using

order-of-operations and/or exponential rules

(MA.8.2.1)

2. solve one and two step linear equations with

integers, fractions, and decimal solutions

(MA.8.2.2)

3. solve inequalities with integers, fractions, and

decimal solutions (MA.8.2.2)

4. use ratio and proportion to create and solve

equations (MA.8.2.3)

5. add and subtract polynomials limited to two

variables and positive exponents (MA.8.2.4)

8th McDougal Littell

43

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

6. apply algebraic equations and expressions to

solve application problems (MA.8.2.5)

7. apply inductive and deductive reasoning to write

a rule from data in a function table (MA.8.2.6)

8. graph linear equations and inequalities within the

Cartesian coordinate plane using ordered pairs

table of values and appropriate technology

(MA.8.2.7)

9. formulate and apply a rule to generate an

arithmetic, geometric, and algebraic pattern

(MA.8.2.8)

10. determine the slope of a line

given two-points

slope/y-intercept equation (y=mx+b)

(MA.8.2.9)

11. represent and solve real world

problems appropriate for eighth grade using

multiple strategies (MA.8.2.10)

C. GEOMETRY

1. investigate the relationship between

corresponding, alternate interior, and alternate

exterior angles when parallel lines are cut by a

transversal using models, pencil/paper, and

graphing calculator (MA.8.3.1)

2. classify polyhedrons according to the number and

shape of faces (MA.8.3.2)

3. determine the relationship between vertices,

faces, and edges of polyhedrons (MA.8.3.2)

4. identify, apply, and construct perpendicular and

angle bisectors (MA.8.3.3)

5. create geometric patterns using transformations

(rotation, reflection, translation) through

tiling

art design

tessellations

scaling (MA.8.3.4)

6. use coordinate geometry to represent and examine

properties of similar and congruent figures and

graph transformations (MA.8.3.5)

7. create scale models including ratio, proportion

and similar figures using pencil/paper, and dynamic

geometry software (MA.8.3.6)

8th McDougal Littell

44

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

D. MEASUREMENT

1. estimate and solve application problems

involving

perimeter

area

surface area

volume

of plane and solid geometric figures (MA.8.4.1)

2. use the concept of volume as one-third the

product of the area of the base and the height for

cone and pyramids (MA.8.4.2)

3. use formulas and drawings including irregular

figures, models, or definitions to solve problems

involving missing measurements in plane and

solid geometric figures (MA.8.4.3)

4. solve right triangle problems using the

Pythagorean Theorem, indirect measurement,

and definitions (Pythagorean Theorem,

Pythagorean Triples) (MA.8.4.4)

E. DATA ANALYSIS AND PROBABILITY

1. use appropriate technology to solve application

problems involving combinations and

permutations (MA.8.5.1)

2. investigate the experimental and theoretical

probability, including compound probability of an

event (MA.8.5.2)

3. create and extrapolate information from

(MA.8.5.3)

multiple-bar graphs

box and whisker plots

stem and leaf plots

scatter plots

line plots

4. determine probability and make predictions

through (MA.8.5.4)

analyzing problem situations

games of chance

consumer applications using statistical

samplings

5. draw inferences and construct convincing

arguments, including misuses of statistical or

numeric information, based on data analysis

(MA.8.5.5)

8th McDougal Littell

45

INSTRUCTIONAL MATERIALS ADOPTION

GENERIC EVALUATION CRITERIA

2005 TO 2011

Mathematics

VENDOR: McDougal Littell

INSTRUCTIONAL MATERIALS: McDougal Littell

SUBJECT: McDougal Littell Middle School Math Course 3

COPYRIGHT DATE(S): 2004 GRADE: 8th

SE ISBN: 0-618-25000-X TE ISBN: 0-618-25002-6

R-E-S-P-O-N-S-E-S CRITERIA NOTES

YES NO N/AI. INTER-ETHNIC

The instructional materials meet the

requirements of inter-ethnic: concept,

content, and illustration, as set by West

Virginia Board of Education Policy

(Adopted December 1970).

II. EQUAL OPPORTUNITY

The instructional material meets the

requirements of equal opportunity"

concept, content, illustration, heritage,

roles, contributions, experiences, and

achievements of males and females in

American and other cultures, as set by

West Virginia Board of Education Policy

(Adopted May 1975).

8th McDougal Littell

46

GRADE: 8th

VENDOR: McDougal Littell INSTRUCTIONAL MATERIALS: McDougal

Littell

SUBJECT: McDougal Littell Middle School

Math Course 3

COPYRIGHT DATE(S): 2004

SE ISBN: 0-618-25000-X TE ISBN: 0-618-25002-6

COMMENTS:

MATHEMATICS

INSTRUCTIONAL MATERIALS FOR TECHNOLOGY AND MANIPULATIVES The objectives continue the emphasis on the use of manipulatives, concrete material, and appropriate

technologies to give students the foundation needed to explore new mathematical concepts. West Virginia

teachers are responsible for analyzing the benefits of technology for learning and for integrating technology

appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each category

must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCTI =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level (1) are research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students with

opportunities to

1. Specific activities utilizing appropriate

software to develop, explore, and expand the

objectives.

2. Specific activities utilizing appropriate

calculators to develop, explore, and expand the

objectives.

3. References to or integration of audio/visual

materials that develop, explore, and expand the

objectives.

8th McDougal Littell

47

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

Nonexistent I A M N

4. References to or integration of Internet

resources that develop, explore, and expand the

objectives.

5. Specific ideas and activities utilizing

manipulatives to develop, explore, and expand

the objectives.

8th McDougal Littell

48

GRADE: 8th

VENDOR: McDougal Littell INSTRUCTIONAL MATERIALS: McDougal

Littell

SUBJECT: McDougal Littell Middle School

Math Course 3

COPYRIGHT DATE(S): 2004

SE ISBN: 0-618-25000-X TE ISBN: 0-618-25002-6

COMMENTS:

MATHEMATICS

SCIENTIFIC BASED RESEARCH COMPONENTS The objectives continue the emphasis on the use of manipulatives, concrete material, and appropriate

technologies to give students the foundation needed to explore new mathematical concepts. West Virginia

teachers are responsible for analyzing the benefits of technology for learning and for integrating technology

appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each category

must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCTI =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level (1) are research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students with

opportunities to

1. Provide in-depth investigations (discovery

activities) and open-ended tasks

(applications).

2. Provide opportunities for students to engage

in mathematical discussion (oral and written).

3. Provide opportunities for students to make

connections among mathematical topics.

4. Provide opportunities for students to make

connections between mathematics and its

applicability to the world.

8th McDougal Littell

49

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

Nonexistent I A M N

5. Offer suggestions/prompts for facilitating

classroom discussion and activities.

6. Provide a variety of methods to help students

with a range of abilities or learning styles or

interests.

7. Provide multiple means of assessment which

include reasoning/communication skills.

8. Provide continuous ongoing assessment

aligned with learning experiences.

8th McDougal Littell

50

GRADE: 8th

VENDOR: McDougal Littell INSTRUCTIONAL MATERIALS: McDougal Littell

SUBJECT: McDougal Littell Middle

School Math Course 3

COPYRIGHT DATE(S): 2004

SE ISBN: 0-618-25000-X TE ISBN: 0-618-25002-6

COMMENTS:

MATHEMATICS

SPECIFIC CRITERIA FOR CONTENT AND SKILLS

EIGHTH GRADEPre-Geometry with Algebra provides an alternative course for students who do not elect to take Algebra I in

the eighth grade or who have not successfully mastered the new skills from Pre-Algebra with Geometry in the

seventh grade. In addition to reinforcing the concepts presented in Pre-Algebra with Geometry, this course

extends problem solving to a more sophisticated level. Students will continue to apply integer operations,

properties, expressions and equations so as to reinforce these concepts in varied applications. Lessons

involving cooperative learning, manipulatives, or technology will strengthen students’ understanding of

concepts while fostering communication and reasoning skills. Calculator use is emphasized for all

mathematical tasks including assessment. West Virginia teachers are responsible for analyzing the benefits of

technology for learning and for integrating technology appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each

category must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level must (1) be research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students

with opportunities to

A. NUMBER AND OPERATIONS

1. compare and order

a. rational numbers

b. irrational numbers (MA.8.1.1)

8th McDougal Littell

✔✔

51

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

2. utilize the properties of terminating, repeating,

and non-repeating decimals (MA.8.1.2)

3. make conversions between fractions, mixed

numbers, and decimals (MA.8.1.2)

4. extend scientific notation to numbers with a wide

range of values using a calculator when

appropriate (MA.8.1.3)

5. solve problems using powers, squares, and square

roots to solve problems (MA.8.1.4)

6. use estimation techniques to solve and verify

solutions in application problems with (MA.8.1.5)

whole numbers

decimals

percent

fractions

mixed numbers

7. solve application problems with whole numbers,

decimals, fractions, percents, and integer including,

but not limited to (MA.8.1.6)

rates

tips

discounts

sales tax

interest

8. develop computational strategies based on the

(MA.8.1.7)

commutative, associative, and identity properties

inverse and distributive properties

B. ALGEBRA

1. solve problems with numerical and algebraic

expressions containing whole numbers, integers,

absolute value, fractions, and exponents using

order-of-operations and/or exponential rules

(MA.8.2.1)

2. solve one and two step linear equations with

integers, fractions, and decimal solutions

(MA.8.2.2)

3. solve inequalities with integers, fractions, and

decimal solutions (MA.8.2.2)

4. use ratio and proportion to create and solve

equations (MA.8.2.3)

5. add and subtract polynomials limited to two

variables and positive exponents (MA.8.2.4)

8th McDougal Littell

52

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

6. apply algebraic equations and expressions to

solve application problems (MA.8.2.5)

7. apply inductive and deductive reasoning to write

a rule from data in a function table (MA.8.2.6)

8. graph linear equations and inequalities within the

Cartesian coordinate plane using ordered pairs

table of values and appropriate technology

(MA.8.2.7)

9. formulate and apply a rule to generate an

arithmetic, geometric, and algebraic pattern

(MA.8.2.8)

10. determine the slope of a line

given two-points

slope/y-intercept equation (y=mx+b)

(MA.8.2.9)

11. represent and solve real world problems

appropriate for eighth grade using multiple

strategies (MA.8.2.10) C. GEOMETRY

1. investigate the relationship between

corresponding, alternate interior, and alternate

exterior angles when parallel lines are cut by a

transversal using models, pencil/paper, and

graphing calculator (MA.8.3.1)

2. classify polyhedrons according to the number and

shape of faces (MA.8.3.2)

3. determine the relationship between vertices,

faces, and edges of polyhedrons (MA.8.3.2)

4. identify, apply, and construct perpendicular and

angle bisectors (MA.8.3.3)

5. create geometric patterns using transformations

(rotation, reflection, translation) through

tiling

art design

tessellations

scaling (MA.8.3.4)

6. use coordinate geometry to represent and examine

properties of similar and congruent figures and

graph transformations (MA.8.3.5)

7. create scale models including ratio, proportion

and similar figures using pencil/paper, and dynamic

geometry software (MA.8.3.6)

8th McDougal Littell

53

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

D. MEASUREMENT

1. estimate and solve application problems

involving

perimeter

area

surface area

volume

of plane and solid geometric figures (MA.8.4.1)

2. use the concept of volume as one-third the

product of the area of the base and the height for

cone and pyramids (MA.8.4.2)

3. use formulas and drawings including irregular

figures, models, or definitions to solve problems

involving missing measurements in plane and

solid geometric figures (MA.8.4.3)

4. solve right triangle problems using the

Pythagorean Theorem, indirect measurement,

and definitions (Pythagorean Theorem,

Pythagorean Triples) (MA.8.4.4)

E. DATA ANALYSIS AND PROBABILITY

1. use appropriate technology to solve application

problems involving combinations and

permutations (MA.8.5.1)

2. investigate the experimental and theoretical

probability, including compound probability of an

event (MA.8.5.2)

3. create and extrapolate information from

(MA.8.5.3)

multiple-bar graphs

box and whisker plots

stem and leaf plots

scatter plots

line plots

4. determine probability and make predictions

through (MA.8.5.4)

analyzing problem situations

games of chance

consumer applications using statistical

samplings

5. draw inferences and construct convincing

arguments, including misuses of statistical or

numeric information, based on data analysis

(MA.8.5.5)

8th McDougal Littell

54

INSTRUCTIONAL MATERIALS ADOPTION

GENERIC EVALUATION CRITERIA

2005 TO 2011

Mathematics

VENDOR: McDougal Littell

INSTRUCTIONAL MATERIALS: McDougal Littell

SUBJECT: Math Thematics Book 3

COPYRIGHT DATE(S): 2002 GRADE: 8th

SE ISBN: 0-618-09805-4 TE ISBN: 0-618-09806-2

R-E-S-P-O-N-S-E-S CRITERIA NOTES

YES NO N/AI. INTER-ETHNIC

The instructional materials meet the

requirements of inter-ethnic: concept,

content, and illustration, as set by West

Virginia Board of Education Policy

(Adopted December 1970).

II. EQUAL OPPORTUNITY

The instructional material meets the

requirements of equal opportunity"

concept, content, illustration, heritage,

roles, contributions, experiences, and

achievements of males and females in

American and other cultures, as set by

West Virginia Board of Education Policy

(Adopted May 1975).

8th McDougal Littell

55

GRADE: 8th

VENDOR: McDougal Littell INSTRUCTIONAL MATERIALS: McDougal

Littell

SUBJECT: Math Thematics Book 3 COPYRIGHT DATE(S): 2002

SE ISBN: 0-618-09805-4 TE ISBN: 0-618-09806-2

COMMENTS:

MATHEMATICS

INSTRUCTIONAL MATERIALS FOR TECHNOLOGY AND MANIPULATIVES The objectives continue the emphasis on the use of manipulatives, concrete material, and appropriate

technologies to give students the foundation needed to explore new mathematical concepts. West Virginia

teachers are responsible for analyzing the benefits of technology for learning and for integrating technology

appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each category

must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCTI =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level (1) are research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students with

opportunities to

1. Specific activities utilizing appropriate

software to develop, explore, and expand the

objectives.

2. Specific activities utilizing appropriate

calculators to develop, explore, and expand the

objectives.

3. References to or integration of audio/visual

materials that develop, explore, and expand the

objectives.

8th McDougal Littell

56

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

Nonexistent I A M N

4. References to or integration of Internet

resources that develop, explore, and expand the

objectives.

5. Specific ideas and activities utilizing

manipulatives to develop, explore, and expand

the objectives.

8th McDougal Littell

57

GRADE: 8th

VENDOR: McDougal Littell INSTRUCTIONAL MATERIALS: McDougal

Littell

SUBJECT: Math Thematics Book 3 COPYRIGHT DATE(S): 2002

SE ISBN: 0-618-09805-4 TE ISBN: 0-618-09806-2

COMMENTS:

MATHEMATICS

SCIENTIFIC BASED RESEARCH COMPONENTS The objectives continue the emphasis on the use of manipulatives, concrete material, and appropriate

technologies to give students the foundation needed to explore new mathematical concepts. West Virginia

teachers are responsible for analyzing the benefits of technology for learning and for integrating technology

appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each category

must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCTI =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level (1) are research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students with

opportunities to

1. Provide in-depth investigations (discovery

activities) and open-ended tasks

(applications).

2. Provide opportunities for students to engage

in mathematical discussion (oral and written).

3. Provide opportunities for students to make

connections among mathematical topics.

4. Provide opportunities for students to make

connections between mathematics and its

applicability to the world.

8th McDougal Littell

58

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

Nonexistent I A M N

5. Offer suggestions/prompts for facilitating

classroom discussion and activities.

6. Provide a variety of methods to help students

with a range of abilities or learning styles or

interests.

7. Provide multiple means of assessment which

include reasoning/communication skills.

8. Provide continuous ongoing assessment

aligned with learning experiences.

8th McDougal Littell

59

GRADE: 8th

VENDOR: McDougal Littell INSTRUCTIONAL MATERIALS: McDougal Littell

SUBJECT: Math Thematics Book 3 COPYRIGHT DATE(S): 2002

SE ISBN: 0-618-09805-4 TE ISBN: 0-618-09806-2

COMMENTS:

MATHEMATICS

SPECIFIC CRITERIA FOR CONTENT AND SKILLS

EIGHTH GRADEPre-Geometry with Algebra provides an alternative course for students who do not elect to take Algebra I in

the eighth grade or who have not successfully mastered the new skills from Pre-Algebra with Geometry in the

seventh grade. In addition to reinforcing the concepts presented in Pre-Algebra with Geometry, this course

extends problem solving to a more sophisticated level. Students will continue to apply integer operations,

properties, expressions and equations so as to reinforce these concepts in varied applications. Lessons

involving cooperative learning, manipulatives, or technology will strengthen students’ understanding of

concepts while fostering communication and reasoning skills. Calculator use is emphasized for all

mathematical tasks including assessment. West Virginia teachers are responsible for analyzing the benefits of

technology for learning and for integrating technology appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each

category must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level must (1) be research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students

with opportunities to

A. NUMBER AND OPERATIONS

1. compare and order

a. rational numbers

b. irrational numbers (MA.8.1.1)

8th McDougal Littell

60

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

2. utilize the properties of terminating, repeating,

and non-repeating decimals (MA.8.1.2)

3. make conversions between fractions, mixed

numbers, and decimals (MA.8.1.2)

4. extend scientific notation to numbers with a wide

range of values using a calculator when

appropriate (MA.8.1.3)

5. solve problems using powers, squares, and square

roots to solve problems (MA.8.1.4)

6. use estimation techniques to solve and verify

solutions in application problems with (MA.8.1.5)

whole numbers

decimals

percent

fractions

mixed numbers

7. solve application problems with whole numbers,

decimals, fractions, percents, and integer including,

but not limited to (MA.8.1.6)

rates

tips

discounts

sales tax

interest

8. develop computational strategies based on the

(MA.8.1.7)

commutative, associative, and identity properties

inverse and distributive properties

B. ALGEBRA

1. solve problems with numerical and algebraic

expressions containing whole numbers, integers,

absolute value, fractions, and exponents using

order-of-operations and/or exponential rules

(MA.8.2.1)

2. solve one and two step linear equations with

integers, fractions, and decimal solutions

(MA.8.2.2)

3. solve inequalities with integers, fractions, and

decimal solutions (MA.8.2.2)

4. use ratio and proportion to create and solve

equations (MA.8.2.3)

5. add and subtract polynomials limited to two

variables and positive exponents (MA.8.2.4)

8th McDougal Littell

61

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

6. apply algebraic equations and expressions to

solve application problems (MA.8.2.5)

7. apply inductive and deductive reasoning to write

a rule from data in a function table (MA.8.2.6)

8. graph linear equations and inequalities within the

Cartesian coordinate plane using ordered pairs

table of values and appropriate technology

(MA.8.2.7)

9. formulate and apply a rule to generate an

arithmetic, geometric, and algebraic pattern

(MA.8.2.8)

10. determine the slope of a line

given two-points

slope/y-intercept equation (y=mx+b)

(MA.8.2.9)

11. represent and solve real world

problems appropriate for eighth grade using

multiple strategies (MA.8.2.10)

C. GEOMETRY

1. investigate the relationship between

corresponding, alternate interior, and alternate

exterior angles when parallel lines are cut by a

transversal using models, pencil/paper, and

graphing calculator (MA.8.3.1)

2. classify polyhedrons according to the number and

shape of faces (MA.8.3.2)

3. determine the relationship between vertices,

faces, and edges of polyhedrons (MA.8.3.2)

4. identify, apply, and construct perpendicular and

angle bisectors (MA.8.3.3)

5. create geometric patterns using transformations

(rotation, reflection, translation) through

tiling

art design

tessellations

scaling (MA.8.3.4)

6. use coordinate geometry to represent and examine

properties of similar and congruent figures and

graph transformations (MA.8.3.5)

7. create scale models including ratio, proportion

and similar figures using pencil/paper, and dynamic

geometry software (MA.8.3.6)

8th McDougal Littell

62

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

D. MEASUREMENT

1. estimate and solve application problems

involving

perimeter

area

surface area

volume

of plane and solid geometric figures (MA.8.4.1)

2. use the concept of volume as one-third the

product of the area of the base and the height for

cone and pyramids (MA.8.4.2)

3. use formulas and drawings including irregular

figures, models, or definitions to solve problems

involving missing measurements in plane and

solid geometric figures (MA.8.4.3)

4. solve right triangle problems using the

Pythagorean Theorem, indirect measurement,

and definitions (Pythagorean Theorem,

Pythagorean Triples) (MA.8.4.4)

E. DATA ANALYSIS AND PROBABILITY

1. use appropriate technology to solve application

problems involving combinations and

permutations (MA.8.5.1)

2. investigate the experimental and theoretical

probability, including compound probability of an

event (MA.8.5.2)

3. create and extrapolate information from

(MA.8.5.3)

multiple-bar graphs

box and whisker plots

stem and leaf plots

scatter plots

line plots

4. determine probability and make predictions

through (MA.8.5.4)

analyzing problem situations

games of chance

consumer applications using statistical

samplings

5. draw inferences and construct convincing

arguments, including misuses of statistical or

numeric information, based on data analysis

(MA.8.5.5)

8th McDougal Littell

63

INSTRUCTIONAL MATERIALS ADOPTION

GENERIC EVALUATION CRITERIA

2005 TO 2011

Mathematics

VENDOR: Pearson Education

INSTRUCTIONAL MATERIALS: Mathematics Grade 8

SUBJECT: Prentice Hall Connected Mathematics

COPYRIGHT DATE(S): 2004 GRADE: 8th

SE ISBN: 0-13-180835-4 TE ISBN: 0-13-180853-2

R-E-S-P-O-N-S-E-S CRITERIA NOTES

YES NO N/AI. INTER-ETHNIC

The instructional materials meet the

requirements of inter-ethnic: concept,

content, and illustration, as set by West

Virginia Board of Education Policy

(Adopted December 1970).

II. EQUAL OPPORTUNITY

The instructional material meets the

requirements of equal opportunity"

concept, content, illustration, heritage,

roles, contributions, experiences, and

achievements of males and females in

American and other cultures, as set by

West Virginia Board of Education Policy

(Adopted May 1975).

8th Pearson Education

64

GRADE: 8th

VENDOR: Pearson Education INSTRUCTIONAL MATERIALS:

Mathematics Grade 8

SUBJECT: Prentice Hall Connected

Mathematics

COPYRIGHT DATE(S): 2004

SE ISBN: 0-13-180835-4 TE ISBN: 0-13-180853-2

COMMENTS:

MATHEMATICS

INSTRUCTIONAL MATERIALS FOR TECHNOLOGY AND MANIPULATIVES The objectives continue the emphasis on the use of manipulatives, concrete material, and appropriate

technologies to give students the foundation needed to explore new mathematical concepts. West Virginia

teachers are responsible for analyzing the benefits of technology for learning and for integrating technology

appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each category

must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCTI =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level (1) are research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students with

opportunities to

1. Specific activities utilizing appropriate

software to develop, explore, and expand the

objectives.

2. Specific activities utilizing appropriate

calculators to develop, explore, and expand the

objectives.

3. References to or integration of audio/visual

materials that develop, explore, and expand the

objectives.

8th Pearson Education

65

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

Nonexistent I A M N

4. References to or integration of Internet

resources that develop, explore, and expand the

objectives.

5. Specific ideas and activities utilizing

manipulatives to develop, explore, and expand

the objectives.

8th Pearson Education

66

GRADE: 8th

VENDOR: Pearson Education INSTRUCTIONAL MATERIALS:

Mathematics Grade 8

SUBJECT: Prentice Hall Connected

Mathematics

COPYRIGHT DATE(S): 2004

SE ISBN: 0-13-180835-4 TE ISBN: 0-13-180853-2

COMMENTS:

MATHEMATICS

SCIENTIFIC BASED RESEARCH COMPONENTS The objectives continue the emphasis on the use of manipulatives, concrete material, and appropriate

technologies to give students the foundation needed to explore new mathematical concepts. West Virginia

teachers are responsible for analyzing the benefits of technology for learning and for integrating technology

appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each category

must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCTI =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level (1) are research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students with

opportunities to

1. Provide in-depth investigations (discovery

activities) and open-ended tasks

(applications).

2. Provide opportunities for students to engage

in mathematical discussion (oral and written).

3. Provide opportunities for students to make

connections among mathematical topics.

4. Provide opportunities for students to make

connections between mathematics and its

applicability to the world.

8th Pearson Education

67

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

Nonexistent I A M N

5. Offer suggestions/prompts for facilitating

classroom discussion and activities.

6. Provide a variety of methods to help students

with a range of abilities or learning styles or

interests.

7. Provide multiple means of assessment which

include reasoning/communication skills.

8. Provide continuous ongoing assessment

aligned with learning experiences.

8th Pearson Education

68

GRADE: 8th

VENDOR: Pearson Education INSTRUCTIONAL MATERIALS: Mathematics

Grade 8

SUBJECT: Prentice Hall Connected

Mathematics

COPYRIGHT DATE(S): 2004

SE ISBN: 0-13-180835-4 TE ISBN: 0-13-180853-2

COMMENTS:

MATHEMATICS

SPECIFIC CRITERIA FOR CONTENT AND SKILLS

EIGHTH GRADEPre-Geometry with Algebra provides an alternative course for students who do not elect to take Algebra I in

the eighth grade or who have not successfully mastered the new skills from Pre-Algebra with Geometry in the

seventh grade. In addition to reinforcing the concepts presented in Pre-Algebra with Geometry, this course

extends problem solving to a more sophisticated level. Students will continue to apply integer operations,

properties, expressions and equations so as to reinforce these concepts in varied applications. Lessons

involving cooperative learning, manipulatives, or technology will strengthen students’ understanding of

concepts while fostering communication and reasoning skills. Calculator use is emphasized for all

mathematical tasks including assessment. West Virginia teachers are responsible for analyzing the benefits of

technology for learning and for integrating technology appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each

category must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level must (1) be research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students

with opportunities to

A. NUMBER AND OPERATIONS

1. compare and order

a. rational numbers

b. irrational numbers (MA.8.1.1)

8th Pearson Education

69

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

2. utilize the properties of terminating, repeating,

and non-repeating decimals (MA.8.1.2)

3. make conversions between fractions, mixed

numbers, and decimals (MA.8.1.2)

4. extend scientific notation to numbers with a wide

range of values using a calculator when

appropriate (MA.8.1.3)

5. solve problems using powers, squares, and square

roots to solve problems (MA.8.1.4)

6. use estimation techniques to solve and verify

solutions in application problems with (MA.8.1.5)

whole numbers

decimals

percent

fractions

mixed numbers

7. solve application problems with whole numbers,

decimals, fractions, percents, and integer including,

but not limited to (MA.8.1.6)

rates

tips

discounts

sales tax

interest

8. develop computational strategies based on the

(MA.8.1.7)

commutative, associative, and identity properties

inverse and distributive properties

B. ALGEBRA

1. solve problems with numerical and algebraic

expressions containing whole numbers, integers,

absolute value, fractions, and exponents using

order-of-operations and/or exponential rules

(MA.8.2.1)

2. solve one and two step linear equations with

integers, fractions, and decimal solutions

(MA.8.2.2)

3. solve inequalities with integers, fractions, and

decimal solutions (MA.8.2.2)

4. use ratio and proportion to create and solve

equations (MA.8.2.3)

5. add and subtract polynomials limited to two

variables and positive exponents (MA.8.2.4)

8th Pearson Education

70

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

6. apply algebraic equations and expressions to

solve application problems (MA.8.2.5)

7. apply inductive and deductive reasoning to write

a rule from data in a function table (MA.8.2.6)

8. graph linear equations and inequalities within the

Cartesian coordinate plane using ordered pairs

table of values and appropriate technology

(MA.8.2.7)

9. formulate and apply a rule to generate an

arithmetic, geometric, and algebraic pattern

(MA.8.2.8)

10. determine the slope of a line

given two-points

slope/y-intercept equation (y=mx+b)

(MA.8.2.9)

11. represent and solve real world

problems appropriate for eighth grade using

multiple strategies (MA.8.2.10)

C. GEOMETRY

1. investigate the relationship between

corresponding, alternate interior, and alternate

exterior angles when parallel lines are cut by a

transversal using models, pencil/paper, and

graphing calculator (MA.8.3.1)

2. classify polyhedrons according to the number and

shape of faces (MA.8.3.2)

3. determine the relationship between vertices,

faces, and edges of polyhedrons (MA.8.3.2)

4. identify, apply, and construct perpendicular and

angle bisectors (MA.8.3.3)

5. create geometric patterns using transformations

(rotation, reflection, translation) through

tiling

art design

tessellations

scaling (MA.8.3.4)

6. use coordinate geometry to represent and examine

properties of similar and congruent figures and

graph transformations (MA.8.3.5)

7. create scale models including ratio, proportion

and similar figures using pencil/paper, and dynamic

geometry software (MA.8.3.6)

8th Pearson Education

71

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

D. MEASUREMENT

1. estimate and solve application problems

involving

perimeter

area

surface area

volume

of plane and solid geometric figures (MA.8.4.1)

2. use the concept of volume as one-third the

product of the area of the base and the height for

cone and pyramids (MA.8.4.2)

3. use formulas and drawings including irregular

figures, models, or definitions to solve problems

involving missing measurements in plane and

solid geometric figures (MA.8.4.3)

4. solve right triangle problems using the

Pythagorean Theorem, indirect measurement,

and definitions (Pythagorean Theorem,

Pythagorean Triples) (MA.8.4.4)

E. DATA ANALYSIS AND PROBABILITY

1. use appropriate technology to solve application

problems involving combinations and

permutations (MA.8.5.1)

2. investigate the experimental and theoretical

probability, including compound probability of an

event (MA.8.5.2)

3. create and extrapolate information from

(MA.8.5.3)

multiple-bar graphs

box and whisker plots

stem and leaf plots

scatter plots

line plots

4. determine probability and make predictions

through (MA.8.5.4)

analyzing problem situations

games of chance

consumer applications using statistical

samplings

5. draw inferences and construct convincing

arguments, including misuses of statistical or

numeric information, based on data analysis

(MA.8.5.5)

8th Pearson Education

72

INSTRUCTIONAL MATERIALS ADOPTION

GENERIC EVALUATION CRITERIA

2005 TO 2011

Mathematics

VENDOR: Pearson Education

INSTRUCTIONAL MATERIALS: Algebra/Geometry Preparation

SUBJECT: Prentice Hall Mathematics Pre-Algebra

COPYRIGHT DATE(S): 2004 GRADE: 8th

SE ISBN: 0-13-068608-5 TE ISBN: 0-13-037918-2

R-E-S-P-O-N-S-E-S CRITERIA NOTES

YES NO N/AI. INTER-ETHNIC

The instructional materials meet the

requirements of inter-ethnic: concept,

content, and illustration, as set by West

Virginia Board of Education Policy

(Adopted December 1970).

II. EQUAL OPPORTUNITY

The instructional material meets the

requirements of equal opportunity"

concept, content, illustration, heritage,

roles, contributions, experiences, and

achievements of males and females in

American and other cultures, as set by

West Virginia Board of Education Policy

(Adopted May 1975).

8th Pearson Education

73

GRADE: 8th

VENDOR: Pearson Education INSTRUCTIONAL MATERIALS:

Algebra/Geometry Preparation

SUBJECT: Prentice Hall Mathematics Pre-

Algebra

COPYRIGHT DATE(S): 2004

SE ISBN: 0-13-068608-5 TE ISBN: 0-13-037918-2

COMMENTS:

MATHEMATICS

INSTRUCTIONAL MATERIALS FOR TECHNOLOGY AND MANIPULATIVES The objectives continue the emphasis on the use of manipulatives, concrete material, and appropriate

technologies to give students the foundation needed to explore new mathematical concepts. West Virginia

teachers are responsible for analyzing the benefits of technology for learning and for integrating technology

appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each category

must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCTI =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level (1) are research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students with

opportunities to

1. Specific activities utilizing appropriate

software to develop, explore, and expand the

objectives.

2. Specific activities utilizing appropriate

calculators to develop, explore, and expand the

objectives.

3. References to or integration of audio/visual

materials that develop, explore, and expand the

objectives.

8th Pearson Education

74

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

Nonexistent I A M N

4. References to or integration of Internet

resources that develop, explore, and expand the

objectives.

5. Specific ideas and activities utilizing

manipulatives to develop, explore, and expand

the objectives.

8th Pearson Education

75

GRADE: 8th

VENDOR: Pearson Education INSTRUCTIONAL MATERIALS:

Algebra/Geometry Preparation

SUBJECT: Prentice Hall Mathematics Pre-

Algebra

COPYRIGHT DATE(S): 2004

SE ISBN: 0-13-068608-5 TE ISBN: 0-13-037918-2

COMMENTS:

MATHEMATICS

SCIENTIFIC BASED RESEARCH COMPONENTS The objectives continue the emphasis on the use of manipulatives, concrete material, and appropriate

technologies to give students the foundation needed to explore new mathematical concepts. West Virginia

teachers are responsible for analyzing the benefits of technology for learning and for integrating technology

appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each category

must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCTI =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level (1) are research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students with

opportunities to

1. Provide in-depth investigations (discovery

activities) and open-ended tasks

(applications).

2. Provide opportunities for students to engage

in mathematical discussion (oral and written).

3. Provide opportunities for students to make

connections among mathematical topics.

4. Provide opportunities for students to make

connections between mathematics and its

applicability to the world.

8th Pearson Education

76

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

Nonexistent I A M N

5. Offer suggestions/prompts for facilitating

classroom discussion and activities.

6. Provide a variety of methods to help students

with a range of abilities or learning styles or

interests.

7. Provide multiple means of assessment which

include reasoning/communication skills.

8. Provide continuous ongoing assessment

aligned with learning experiences.

8th Pearson Education

77

GRADE: 8th

VENDOR: Pearson Education INSTRUCTIONAL MATERIALS:

Algebra/Geometry Preparation

SUBJECT: Prentice Hall Mathematics

Pre-Algebra

COPYRIGHT DATE(S): 2004

SE ISBN: 0-13-068608-5 TE ISBN: 0-13-037918-2

COMMENTS:

MATHEMATICS

SPECIFIC CRITERIA FOR CONTENT AND SKILLS

EIGHTH GRADEPre-Geometry with Algebra provides an alternative course for students who do not elect to take Algebra I in

the eighth grade or who have not successfully mastered the new skills from Pre-Algebra with Geometry in the

seventh grade. In addition to reinforcing the concepts presented in Pre-Algebra with Geometry, this course

extends problem solving to a more sophisticated level. Students will continue to apply integer operations,

properties, expressions and equations so as to reinforce these concepts in varied applications. Lessons

involving cooperative learning, manipulatives, or technology will strengthen students’ understanding of

concepts while fostering communication and reasoning skills. Calculator use is emphasized for all

mathematical tasks including assessment. West Virginia teachers are responsible for analyzing the benefits of

technology for learning and for integrating technology appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each

category must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level must (1) be research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students

with opportunities to

A. NUMBER AND OPERATIONS

1. compare and order

a. rational numbers

b. irrational numbers (MA.8.1.1)

8th Pearson Education

78

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

2. utilize the properties of terminating, repeating,

and non-repeating decimals (MA.8.1.2)

3. make conversions between fractions, mixed

numbers, and decimals (MA.8.1.2)

4. extend scientific notation to numbers with a wide

range of values using a calculator when

appropriate (MA.8.1.3)

5. solve problems using powers, squares, and square

roots to solve problems (MA.8.1.4)

6. use estimation techniques to solve and verify

solutions in application problems with (MA.8.1.5)

whole numbers

decimals

percent

fractions

mixed numbers

7. solve application problems with whole numbers,

decimals, fractions, percents, and integer including,

but not limited to (MA.8.1.6)

rates

tips

discounts

sales tax

interest

8. develop computational strategies based on the

(MA.8.1.7)

commutative, associative, and identity properties

inverse and distributive properties

B. ALGEBRA

1. solve problems with numerical and algebraic

expressions containing whole numbers, integers,

absolute value, fractions, and exponents using

order-of-operations and/or exponential rules

(MA.8.2.1)

2. solve one and two step linear equations with

integers, fractions, and decimal solutions

(MA.8.2.2)

3. solve inequalities with integers, fractions, and

decimal solutions (MA.8.2.2)

4. use ratio and proportion to create and solve

equations (MA.8.2.3)

5. add and subtract polynomials limited to two

variables and positive exponents (MA.8.2.4)

8th Pearson Education

79

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

6. apply algebraic equations and expressions to

solve application problems (MA.8.2.5)

7. apply inductive and deductive reasoning to write

a rule from data in a function table (MA.8.2.6)

8. graph linear equations and inequalities within the

Cartesian coordinate plane using ordered pairs

table of values and appropriate technology

(MA.8.2.7)

9. formulate and apply a rule to generate an

arithmetic, geometric, and algebraic pattern

(MA.8.2.8)

10. determine the slope of a line

given two-points

slope/y-intercept equation (y=mx+b)

(MA.8.2.9)

11. represent and solve real world

problems appropriate for eighth grade using

multiple strategies (MA.8.2.10)

C. GEOMETRY

1. investigate the relationship between

corresponding, alternate interior, and alternate

exterior angles when parallel lines are cut by a

transversal using models, pencil/paper, and

graphing calculator (MA.8.3.1)

2. classify polyhedrons according to the number and

shape of faces (MA.8.3.2)

3. determine the relationship between vertices,

faces, and edges of polyhedrons (MA.8.3.2)

4. identify, apply, and construct perpendicular and

angle bisectors (MA.8.3.3)

5. create geometric patterns using transformations

(rotation, reflection, translation) through

tiling

art design

tessellations

scaling (MA.8.3.4)

6. use coordinate geometry to represent and examine

properties of similar and congruent figures and

graph transformations (MA.8.3.5)

7. create scale models including ratio, proportion

and similar figures using pencil/paper, and dynamic

geometry software (MA.8.3.6)

8th Pearson Education

80

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

D. MEASUREMENT

1. estimate and solve application problems

involving

perimeter

area

surface area

volume

of plane and solid geometric figures (MA.8.4.1)

2. use the concept of volume as one-third the

product of the area of the base and the height for

cone and pyramids (MA.8.4.2)

3. use formulas and drawings including irregular

figures, models, or definitions to solve problems

involving missing measurements in plane and

solid geometric figures (MA.8.4.3)

4. solve right triangle problems using the

Pythagorean Theorem, indirect measurement,

and definitions (Pythagorean Theorem,

Pythagorean Triples) (MA.8.4.4)

E. DATA ANALYSIS AND PROBABILITY

1. use appropriate technology to solve application

problems involving combinations and

permutations (MA.8.5.1)

2. investigate the experimental and theoretical

probability, including compound probability of an

event (MA.8.5.2)

3. create and extrapolate information from

(MA.8.5.3)

multiple-bar graphs

box and whisker plots

stem and leaf plots

scatter plots

line plots

4. determine probability and make predictions

through (MA.8.5.4)

analyzing problem situations

games of chance

consumer applications using statistical

samplings

5. draw inferences and construct convincing

arguments, including misuses of statistical or

numeric information, based on data analysis

(MA.8.5.5)

8th Pearson Education

81

INSTRUCTIONAL MATERIALS ADOPTION

GENERIC EVALUATION CRITERIA

2005 TO 2011

Mathematics

VENDOR: Pearson Education

INSTRUCTIONAL MATERIALS: Mathematics Grade 8

SUBJECT: Prentice Hall Mathematics, Course 3

COPYRIGHT DATE(S): 2004 GRADE: 8th

SE ISBN: 0-13-068555-0 TE ISBN: 0-13-68557-7

R-E-S-P-O-N-S-E-S CRITERIA NOTES

YES NO N/AI. INTER-ETHNIC

The instructional materials meet the

requirements of inter-ethnic: concept,

content, and illustration, as set by West

Virginia Board of Education Policy

(Adopted December 1970).

II. EQUAL OPPORTUNITY

The instructional material meets the

requirements of equal opportunity"

concept, content, illustration, heritage,

roles, contributions, experiences, and

achievements of males and females in

American and other cultures, as set by

West Virginia Board of Education Policy

(Adopted May 1975).

8th Pearson Education

82

GRADE: 8th

VENDOR: Pearson Education INSTRUCTIONAL MATERIALS:

Mathematics Grade 8

SUBJECT: Prentice Hall Mathematics, Course

3

COPYRIGHT DATE(S): 2004

SE ISBN: 0-13-068555-0 TE ISBN: 0-13-68557-7

COMMENTS:

MATHEMATICS

INSTRUCTIONAL MATERIALS FOR TECHNOLOGY AND MANIPULATIVES The objectives continue the emphasis on the use of manipulatives, concrete material, and appropriate

technologies to give students the foundation needed to explore new mathematical concepts. West Virginia

teachers are responsible for analyzing the benefits of technology for learning and for integrating technology

appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each category

must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCTI =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level (1) are research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students with

opportunities to

1. Specific activities utilizing appropriate

software to develop, explore, and expand the

objectives.

2. Specific activities utilizing appropriate

calculators to develop, explore, and expand the

objectives.

3. References to or integration of audio/visual

materials that develop, explore, and expand the

objectives.

8th Pearson Education

83

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

Nonexistent I A M N

4. References to or integration of Internet

resources that develop, explore, and expand the

objectives.

5. Specific ideas and activities utilizing

manipulatives to develop, explore, and expand

the objectives.

8th Pearson Education

84

GRADE: 8th

VENDOR: Pearson Education INSTRUCTIONAL MATERIALS:

Mathematics Grade 8

SUBJECT: Prentice Hall Mathematics, Course

3

COPYRIGHT DATE(S): 2004

SE ISBN: 0-13-068555-0 TE ISBN: 0-13-68557-7

COMMENTS:

MATHEMATICS

SCIENTIFIC BASED RESEARCH COMPONENTS The objectives continue the emphasis on the use of manipulatives, concrete material, and appropriate

technologies to give students the foundation needed to explore new mathematical concepts. West Virginia

teachers are responsible for analyzing the benefits of technology for learning and for integrating technology

appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each category

must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCTI =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level (1) are research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students with

opportunities to

1. Provide in-depth investigations (discovery

activities) and open-ended tasks

(applications).

2. Provide opportunities for students to engage

in mathematical discussion (oral and written).

3. Provide opportunities for students to make

connections among mathematical topics.

4. Provide opportunities for students to make

connections between mathematics and its

applicability to the world.

8th Pearson Education

85

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

Nonexistent I A M N

5. Offer suggestions/prompts for facilitating

classroom discussion and activities.

6. Provide a variety of methods to help students

with a range of abilities or learning styles or

interests.

7. Provide multiple means of assessment which

include reasoning/communication skills.

8. Provide continuous ongoing assessment

aligned with learning experiences.

8th Pearson Education

86

GRADE: 8th

VENDOR: Pearson Education INSTRUCTIONAL MATERIALS: Mathematics

Grade 8

SUBJECT: Prentice Hall Mathematics,

Course 3

COPYRIGHT DATE(S): 2004

SE ISBN: 0-13-068555-0 TE ISBN: 0-13-68557-7

COMMENTS:

MATHEMATICS

SPECIFIC CRITERIA FOR CONTENT AND SKILLS

EIGHTH GRADEPre-Geometry with Algebra provides an alternative course for students who do not elect to take Algebra I in

the eighth grade or who have not successfully mastered the new skills from Pre-Algebra with Geometry in the

seventh grade. In addition to reinforcing the concepts presented in Pre-Algebra with Geometry, this course

extends problem solving to a more sophisticated level. Students will continue to apply integer operations,

properties, expressions and equations so as to reinforce these concepts in varied applications. Lessons

involving cooperative learning, manipulatives, or technology will strengthen students’ understanding of

concepts while fostering communication and reasoning skills. Calculator use is emphasized for all

mathematical tasks including assessment. West Virginia teachers are responsible for analyzing the benefits of

technology for learning and for integrating technology appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each

category must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level must (1) be research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students

with opportunities to

A. NUMBER AND OPERATIONS

1. compare and order

a. rational numbers

b. irrational numbers (MA.8.1.1)

8th Pearson Education

87

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

2. utilize the properties of terminating, repeating,

and non-repeating decimals (MA.8.1.2)

3. make conversions between fractions, mixed

numbers, and decimals (MA.8.1.2)

4. extend scientific notation to numbers with a wide

range of values using a calculator when

appropriate (MA.8.1.3)

5. solve problems using powers, squares, and square

roots to solve problems (MA.8.1.4)

6. use estimation techniques to solve and verify

solutions in application problems with (MA.8.1.5)

whole numbers

decimals

percent

fractions

mixed numbers

7. solve application problems with whole numbers,

decimals, fractions, percents, and integer including,

but not limited to (MA.8.1.6)

rates

tips

discounts

sales tax

interest

8. develop computational strategies based on the

(MA.8.1.7)

commutative, associative, and identity properties

inverse and distributive properties

B. ALGEBRA

1. solve problems with numerical and algebraic

expressions containing whole numbers, integers,

absolute value, fractions, and exponents using

order-of-operations and/or exponential rules

(MA.8.2.1)

2. solve one and two step linear equations with

integers, fractions, and decimal solutions

(MA.8.2.2)

3. solve inequalities with integers, fractions, and

decimal solutions (MA.8.2.2)

4. use ratio and proportion to create and solve

equations (MA.8.2.3)

5. add and subtract polynomials limited to two

variables and positive exponents (MA.8.2.4)

8th Pearson Education

88

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

6. apply algebraic equations and expressions to

solve application problems (MA.8.2.5)

7. apply inductive and deductive reasoning to write

a rule from data in a function table (MA.8.2.6)

8. graph linear equations and inequalities within the

Cartesian coordinate plane using ordered pairs

table of values and appropriate technology

(MA.8.2.7)

9. formulate and apply a rule to generate an

arithmetic, geometric, and algebraic pattern

(MA.8.2.8)

10. determine the slope of a line

given two-points

slope/y-intercept equation (y=mx+b)

(MA.8.2.9)

11. represent and solve real world

problems appropriate for eighth grade using

multiple strategies (MA.8.2.10)

C. GEOMETRY

1. investigate the relationship between

corresponding, alternate interior, and alternate

exterior angles when parallel lines are cut by a

transversal using models, pencil/paper, and

graphing calculator (MA.8.3.1)

2. classify polyhedrons according to the number and

shape of faces (MA.8.3.2)

3. determine the relationship between vertices,

faces, and edges of polyhedrons (MA.8.3.2)

4. identify, apply, and construct perpendicular and

angle bisectors (MA.8.3.3)

5. create geometric patterns using transformations

(rotation, reflection, translation) through

tiling

art design

tessellations

scaling (MA.8.3.4)

6. use coordinate geometry to represent and examine

properties of similar and congruent figures and

graph transformations (MA.8.3.5)

7. create scale models including ratio, proportion

and similar figures using pencil/paper, and dynamic

geometry software (MA.8.3.6)

8th Pearson Education

89

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

D. MEASUREMENT

1. estimate and solve application problems

involving

perimeter

area

surface area

volume

of plane and solid geometric figures (MA.8.4.1)

2. use the concept of volume as one-third the

product of the area of the base and the height for

cone and pyramids (MA.8.4.2)

3. use formulas and drawings including irregular

figures, models, or definitions to solve problems

involving missing measurements in plane and

solid geometric figures (MA.8.4.3)

4. solve right triangle problems using the

Pythagorean Theorem, indirect measurement,

and definitions (Pythagorean Theorem,

Pythagorean Triples) (MA.8.4.4)

E. DATA ANALYSIS AND PROBABILITY

1. use appropriate technology to solve application

problems involving combinations and

permutations (MA.8.5.1)

2. investigate the experimental and theoretical

probability, including compound probability of an

event (MA.8.5.2)

3. create and extrapolate information from

(MA.8.5.3)

multiple-bar graphs

box and whisker plots

stem and leaf plots

scatter plots

line plots

4. determine probability and make predictions

through (MA.8.5.4)

analyzing problem situations

games of chance

consumer applications using statistical

samplings

5. draw inferences and construct convincing

arguments, including misuses of statistical or

numeric information, based on data analysis

(MA.8.5.5)

8th Pearson Education

90

INSTRUCTIONAL MATERIALS ADOPTION

GENERIC EVALUATION CRITERIA

2005 TO 2011

Mathematics

VENDOR: Saxon Publishers

INSTRUCTIONAL MATERIALS: Algebra 1/2

SUBJECT: Algebra 1/2 Student Edition

COPYRIGHT DATE(S): 2004 GRADE: 8th

SE ISBN: 1-56577-149-4 TE ISBN: 1-56577-129-X

R-E-S-P-O-N-S-E-S CRITERIA NOTES

YES NO N/AI. INTER-ETHNIC

The instructional materials meet the

requirements of inter-ethnic: concept,

content, and illustration, as set by West

Virginia Board of Education Policy

(Adopted December 1970).

II. EQUAL OPPORTUNITY

The instructional material meets the

requirements of equal opportunity"

concept, content, illustration, heritage,

roles, contributions, experiences, and

achievements of males and females in

American and other cultures, as set by

West Virginia Board of Education Policy

(Adopted May 1975).

8th Saxon

91

GRADE: 8th

VENDOR: Saxon Publishers INSTRUCTIONAL MATERIALS: Algebra 1/2

SUBJECT: Algebra 1/2 Student Edition COPYRIGHT DATE(S): 2004

SE ISBN: 1-56577-149-4 TE ISBN: 1-56577-129-X

COMMENTS:

MATHEMATICS

INSTRUCTIONAL MATERIALS FOR TECHNOLOGY AND MANIPULATIVES The objectives continue the emphasis on the use of manipulatives, concrete material, and appropriate

technologies to give students the foundation needed to explore new mathematical concepts. West Virginia

teachers are responsible for analyzing the benefits of technology for learning and for integrating technology

appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each category

must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCTI =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level (1) are research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students with

opportunities to

1. Specific activities utilizing appropriate

software to develop, explore, and expand the

objectives.

2. Specific activities utilizing appropriate

calculators to develop, explore, and expand the

objectives.

3. References to or integration of audio/visual

materials that develop, explore, and expand the

objectives.

8th Saxon

92

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

Nonexistent I A M N

4. References to or integration of Internet

resources that develop, explore, and expand the

objectives.

5. Specific ideas and activities utilizing

manipulatives to develop, explore, and expand

the objectives.

8th Saxon

93

GRADE: 8th

VENDOR: Saxon Publishers INSTRUCTIONAL MATERIALS: Algebra 1/2

SUBJECT: Algebra 1/2 Student Edition COPYRIGHT DATE(S): 2004

SE ISBN: 1-56577-149-4 TE ISBN: 1-56577-129-X

COMMENTS:

MATHEMATICS

SCIENTIFIC BASED RESEARCH COMPONENTS The objectives continue the emphasis on the use of manipulatives, concrete material, and appropriate

technologies to give students the foundation needed to explore new mathematical concepts. West Virginia

teachers are responsible for analyzing the benefits of technology for learning and for integrating technology

appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each category

must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCTI =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level (1) are research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students with

opportunities to

1. Provide in-depth investigations (discovery

activities) and open-ended tasks

(applications).

2. Provide opportunities for students to engage

in mathematical discussion (oral and written).

3. Provide opportunities for students to make

connections among mathematical topics.

4. Provide opportunities for students to make

connections between mathematics and its

applicability to the world.

8th Saxon

94

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

Nonexistent I A M N

5. Offer suggestions/prompts for facilitating

classroom discussion and activities.

6. Provide a variety of methods to help students

with a range of abilities or learning styles or

interests.

7. Provide multiple means of assessment which

include reasoning/communication skills.

8. Provide continuous ongoing assessment

aligned with learning experiences.

8th Saxon

95

GRADE: 8th

VENDOR: Saxon Publishers INSTRUCTIONAL MATERIALS: Algebra 1/2

SUBJECT: Algebra 1/2 Student Edition COPYRIGHT DATE(S): 2004

SE ISBN: 1-56577-149-4 TE ISBN: 1-56577-129-X

COMMENTS:

MATHEMATICS

SPECIFIC CRITERIA FOR CONTENT AND SKILLS

EIGHTH GRADEPre-Geometry with Algebra provides an alternative course for students who do not elect to take Algebra I in

the eighth grade or who have not successfully mastered the new skills from Pre-Algebra with Geometry in the

seventh grade. In addition to reinforcing the concepts presented in Pre-Algebra with Geometry, this course

extends problem solving to a more sophisticated level. Students will continue to apply integer operations,

properties, expressions and equations so as to reinforce these concepts in varied applications. Lessons

involving cooperative learning, manipulatives, or technology will strengthen students’ understanding of

concepts while fostering communication and reasoning skills. Calculator use is emphasized for all

mathematical tasks including assessment. West Virginia teachers are responsible for analyzing the benefits of

technology for learning and for integrating technology appropriately in the students’ learning environment.

The evaluation of all mathematics materials is based on separate criteria for three (3) categories:

Category I: Standards Based Components

Category II: Technology and Manipulatives

Category III: Mathematics Content

In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each

category must be evaluated separately.

Category I: Standards Based Components must meet 80% (7/8) of the criteria at “In-depth” and/or

“Adequate.”

Category II: Technology and Manipulatives must also meet 80% (4/5) of the criteria at “In-depth” and/or

“Adequate.”

Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for

each grade level or course.

(IMR Committee) Responses (Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-depth

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

All materials at this grade level must (1) be research based and theory driven; (2) incorporate basic, accurate

information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4)

provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking

opportunities; and (6) be based on national standards. The instructional materials should provide students

with opportunities to

A. NUMBER AND OPERATIONS

1. compare and order

a. rational numbers

b. irrational numbers (MA.8.1.1)

8th Saxon

✔✔

96

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

2. utilize the properties of terminating, repeating,

and non-repeating decimals (MA.8.1.2)

3. make conversions between fractions, mixed

numbers, and decimals (MA.8.1.2)

4. extend scientific notation to numbers with a wide

range of values using a calculator when

appropriate (MA.8.1.3)

5. solve problems using powers, squares, and square

roots to solve problems (MA.8.1.4)

6. use estimation techniques to solve and verify

solutions in application problems with (MA.8.1.5)

whole numbers

decimals

percent

fractions

mixed numbers

7. solve application problems with whole numbers,

decimals, fractions, percents, and integer including,

but not limited to (MA.8.1.6)

rates

tips

discounts

sales tax

interest

8. develop computational strategies based on the

(MA.8.1.7)

commutative, associative, and identity properties

inverse and distributive properties

B. ALGEBRA

1. solve problems with numerical and algebraic

expressions containing whole numbers, integers,

absolute value, fractions, and exponents using

order-of-operations and/or exponential rules

(MA.8.2.1)

2. solve one and two step linear equations with

integers, fractions, and decimal solutions

(MA.8.2.2)

3. solve inequalities with integers, fractions, and

decimal solutions (MA.8.2.2)

4. use ratio and proportion to create and solve

equations (MA.8.2.3)

5. add and subtract polynomials limited to two

variables and positive exponents (MA.8.2.4)

8th Saxon

97

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

6. apply algebraic equations and expressions to

solve application problems (MA.8.2.5)

7. apply inductive and deductive reasoning to write

a rule from data in a function table (MA.8.2.6)

8. graph linear equations and inequalities within the

Cartesian coordinate plane using ordered pairs

table of values and appropriate technology

(MA.8.2.7)

9. formulate and apply a rule to generate an

arithmetic, geometric, and algebraic pattern

(MA.8.2.8)

10. determine the slope of a line

given two-points

slope/y-intercept equation (y=mx+b)

(MA.8.2.9)

11. represent and solve real world

problems appropriate for eighth grade using

multiple strategies (MA.8.2.10)

C. GEOMETRY

1. investigate the relationship between

corresponding, alternate interior, and alternate

exterior angles when parallel lines are cut by a

transversal using models, pencil/paper, and

graphing calculator (MA.8.3.1)

2. classify polyhedrons according to the number and

shape of faces (MA.8.3.2)

3. determine the relationship between vertices,

faces, and edges of polyhedrons (MA.8.3.2)

4. identify, apply, and construct perpendicular and

angle bisectors (MA.8.3.3)

5. create geometric patterns using transformations

(rotation, reflection, translation) through

tiling

art design

tessellations

scaling (MA.8.3.4)

6. use coordinate geometry to represent and examine

properties of similar and congruent figures and

graph transformations (MA.8.3.5)

7. create scale models including ratio, proportion

and similar figures using pencil/paper, and dynamic

geometry software (MA.8.3.6)

8th Saxon

98

(IMR Committee) Responses(Vendor/Publisher)

SPECIFIC LOCATION

OF CONTENT WITHIN

PRODUCT

I =

In-dept

A =

Adequate

M =

Minimal

N =

NonexistentI A M N

D. MEASUREMENT

1. estimate and solve application problems

involving

perimeter

area

surface area

volume

of plane and solid geometric figures (MA.8.4.1)

2. use the concept of volume as one-third the

product of the area of the base and the height for

cone and pyramids (MA.8.4.2)

3. use formulas and drawings including irregular

figures, models, or definitions to solve problems

involving missing measurements in plane and

solid geometric figures (MA.8.4.3)

4. solve right triangle problems using the

Pythagorean Theorem, indirect measurement,

and definitions (Pythagorean Theorem,

Pythagorean Triples) (MA.8.4.4)

E. DATA ANALYSIS AND PROBABILITY

1. use appropriate technology to solve application

problems involving combinations and

permutations (MA.8.5.1)

2. investigate the experimental and theoretical

probability, including compound probability of an

event (MA.8.5.2)

3. create and extrapolate information from

(MA.8.5.3)

multiple-bar graphs

box and whisker plots

stem and leaf plots

scatter plots

line plots

4. determine probability and make predictions

through (MA.8.5.4)

analyzing problem situations

games of chance

consumer applications using statistical

samplings

5. draw inferences and construct convincing

arguments, including misuses of statistical or

numeric information, based on data analysis

(MA.8.5.5)

8th Saxon

99