birmingham city schools -...

$: Birmingham City Schools - PC\|MACimages.pcmac.org/Uploads/BirminghamCitySchools/BirminghamCity... · Birmingham City Schools Revised July 2004 Mathematics Department 2 Suggested Notebook$
Birmingham City Schools 1

Revised June 2010

Birmingham City Schools

Middle School

Seventh Grade Pre-AP Pre-Algebra and Pre- Algebra

Teacher Resource Packet

Table of Contents

TOPIC PAGE

Suggested Notebook Guidelines 2

Course of Study: Mathematics Pre-Algebra (8th Grade Adopted 2003) 3

Course of Study: Mathematics Seventh Grade (Adopted 2003) 9

Alabama Reading and Mathematics Test Blueprint and Fact Sheet 13

Alabama High School Graduation Exam Mathematics Objectives 15

AHSGE: Reference Page 16

AHSGE: Mathematics Preparation Tips 17

AHSGE: Mathematics Test Taking Tips 18

AHSGE: Mathematics Standards Explained 19

Birmingham City Schools AHSGE: Mathematics Documentation Forms 21

Pre-Algebra Pacing Comments 24

Pre-AP Pre-Algebra First Semester Objectives 25

Pre-AP Pre-Algebra Grade 7 Pacing Guide Semester 1 26

Pre-AP Pre-Algebra Second Semester Objectives 46

Pre-AP Pre-Algebra Grade 7 Pacing Guide Semester 2 47

Pre-Algebra First Semester Objectives 68

Pre-Algebra Grade 7 Pacing Guide Semester 1 69

Pre-Algebra Second Semester Objectives 89

Pre-Algebra Grade 7 Pacing Guide Semester 2 90

Seventh Grade SpringBoard Instructional Units 111

Laying the Foundation Pre-AP Instructional Units

Birmingham City Schools Calendar 2011 – 2012 113

Birmingham City Schools Revised July 2004

Mathematics Department

2

Suggested Notebook Guidelines for

Improved Student Performance in Mathematics

1. Use pencil which will allow for easy corrections.

2. Each day use a heading that states the objective for that day.

3. Date all class notes.

4. Begin each day’s notes on a new side of paper.

5. Write down all sample problems and important figures and definitions.

6. Use dividers or separate your notebook into the following sections:

Class Notes and Vocabulary

Homework

Daily Assignments

7. Become familiar with the Notebook Evaluation Form that will be used to

check your notebook.

Date: Very

Good

Good Needs

Improvement

Thoroughness

Accuracy

Organization

Neatness

8. The first notebook check this year will be completed by each student, using

“+” or “-”.

Subsequent notebook checks will be done by the classroom teacher, at

announced and un-announced times during each grading period.

Alabama Course of Study: Mathematics

3

3

SIXTH – EIGHTH GRADE

OVERVIEW

Students in Grades 6-8 mature and progress at varied rates and are sensitive to peer perceptions;

therefore, a supportive classroom environment where students feel comfortable sharing ideas is a

priority. Classroom learning experiences are enhanced through interactions in which students

learn to develop reasoning skills and evaluate their own thinking and the thinking of others.

The main focus of the mathematics program in the middle grades is to provide a coherent,

integrated curriculum that enables all students in Grades 6-8 to recognize and apply mathematics

in contexts outside the classroom. Middle school students acquire a solid foundation for high

school mathematics by making a transition from concrete topics to abstract concepts. Through

the use of manipulatives, social interaction, mathematical discourse, and a variety of

technological tools, students engage in mathematical investigations, propose ideas and

conjectures, and make generalizations. A challenging curriculum and a supportive environment

encourage middle school students to be actively involved in their own mathematical learning.

The mathematics program in Grades 6-8 plays a key role in preparing students for high school

mathematics and further study. This curriculum integrates algebraic and geometric concepts into

other mathematical topics. By enabling students to make connections between these topics,

algebraic and geometric thinking skills are developed. Instruction focuses on rational numbers

and algebraic, geometric, and proportional reasoning concepts in order to provide students with

the necessary prerequisite skills for success in high school mathematics courses.

Embedded in the content standards of Number and Operations, Algebra, Geometry,

Measurement, and Data Analysis and Probability are the important process standards of Problem

Solving, Reasoning and Proof, Communication, Connections, and Representation. These

process standards are integrated throughout the middle grades curriculum to deepen students’

understanding of mathematical concepts. Students become good problem solvers with a

mathematical foundation that allows them to choose problem-solving techniques appropriate for

a situation, communicate the reasoning for these choices, and identify the methods used to

determine the results. The teacher plays a key role in helping students develop the skills needed

for reasoning and proof. Students are better able to make conjectures and arguments when they

are encouraged to verbalize, illustrate, or record their mathematical thought processes. By

listening to or reading the mathematical thinking processes of their classmates, students are

encouraged to communicate and to learn from each other.

Mathematical discussion becomes more complex in the middle grades. Students are expected to

use mathematical vocabulary as they explain their reasoning. Students who are taught the

connectedness of mathematical concepts will learn to use these concepts to build upon their own

mathematical knowledge, rather than attempt to memorize many isolated facts/formulas, an

exhaustive and perhaps impossible task in the middle grades. Representing mathematical

concepts in various ways allows students to use modeling to solve complex problems. When

students realize that algebra makes the problem-solving process much more efficient, they see

the interconnectedness of mathematics with the real world. Through this curriculum, middle-


4

4

grades students form positive attitudes about mathematics that contribute to decisions to pursue

further study of mathematics and ultimately enhance their life opportunities.

The content of the mathematics program for Grade 7, Grade 8, and Algebra I is significantly

different from one grade or course to another. School systems may offer Algebra I in Grade 8.

However, eighth-grade students taking Algebra I need an in-depth knowledge of the

mathematical concepts taught in Grades 7 and 8. Careful consideration should be given before

placing Grade 8 students in Algebra I rather than requiring them to complete the Grade 8

mathematics course.

8th


EIGHTH GRADE (Pre-Algebra)

Students in Grade 8 are independent thinkers. They can apply prior knowledge to new situations

but may need to be guided through the learning process by continuing the use of hands-on

materials, mathematical discourse, and technology. These students have the ability to take

ownership of their own mathematical learning and need opportunities to explore and investigate

mathematical concepts. Students in Grade 8 also need to be provided with instruction that

includes a balance between skill development and mathematical understanding.

The major focus of the eighth-grade curriculum is the integration of new and prior knowledge to

solve problems dealing with all mathematical strands, with particular emphasis on algebra,

geometry, and proportional reasoning. This curriculum offers a more in-depth study of algebraic

concepts than in years past. Therefore, this course is subtitled Pre-Algebra. Students who

successfully complete the eighth grade have a thorough knowledge of the skills and concepts

necessary for the study of Algebra I. High school credit may not be awarded for this course.

Number and Operations

Students will:

1. Use various strategies and operations to solve problems involving real numbers.

Using alternative representations of rational numbers

Examples: models, drawings, grids, graphs

Applying GCF, LCM, and prime and composite numbers, including justification for

the reasonableness of results, when working with rational numbers

Example: A new music store is having a grand opening. Every 20th

customer

gets a free compact disk (CD). Every 35th

customer gets a free tote

bag. The first customer to receive both gifts will be the 140th

customer, because 140 is the LCM of 20 and 35. The answer (140th

) is

reasonable because it is larger than both 20 and 35. To say that the 5th

customer, which is the GCF of 20 and 35, receives the gift is not

reasonable because it is smaller than 20 and 35.

Applying proportional reasoning

Example: The amount of rainfall recorded for a certain town in a 24-hour period

is 16 inches. Since the rain fell 2 inches every 3 hours, 24 inches of

rain will fall in 12

1days if the rain continues at the same rate.

Using vocabulary associated with sets, including union and intersection

Determining whether a number is rational or irrational

Demonstrating computational fluency with operations on rational numbers

5

8th


2. Simplify expressions containing natural number exponents by applying one or

more of the laws of exponents.

Writing numbers using scientific notation

3. Use order of operations to evaluate and simplify algebraic expressions.

Applying the substitution principle

Applying the properties of operations on rational numbers to evaluate and simplify

algebraic expressions

Algebra

4. Graph linear relations by plotting points or by using the slope and y-intercept.

Determining slopes and y-intercepts of lines

Calculating the slope of a linear relation given as a table or graph

Exhibiting conceptual understanding of various uses of variables

5. Solve problems involving linear functions.

Identifying functions from information in tables, sets of ordered pairs, equations,

graphs, and mappings

Determining the rule that defines a function

Example:

(Rule: y = 4.5x)

Classifying variables in a function as independent or dependent

Classifying relations as linear or nonlinear by examining tables, graphs, or simple

equations

6. Solve multistep linear equations, including equations requiring the use of the distributive

property.

Example: solving -3(x – 5) – 6x = 2 + 4x

Cars Washed

Input (x)

Money Made

Output (y)

1 $4.50

2 $9.00

3 $13.50

4 $18.00

6

8th


Geometry

7. Solve problems using the Pythagorean Theorem.

Applying the Triangle Inequality Theorem

Example: determining if a triangle can be formed with sides of 1 inch, 2 inches,

and 5 inches

Verifying the Pythagorean Theorem

Applying the Pythagorean Theorem to determine if a triangle is a right triangle

Applying the Pythagorean Theorem to find the missing length of a side of a right

triangle

Calculating distances on the coordinate plane using the Pythagorean Theorem

8. Compare quadrilaterals, triangles, and solids, using their properties and characteristics.

Developing mathematical arguments about the relationships among types of

quadrilaterals and triangles

Identifying angle bisectors, perpendicular bisectors, congruent angles, and congruent

figures

Constructing congruent and similar polygons, congruent angles, congruent segments,

and parallel and perpendicular lines

Measurement

9. Determine the measures of special angle pairs, including adjacent, vertical, supplementary,

and complementary angles, and angles formed by parallel lines cut by a transversal.

10. Find the perimeter and area of regular and irregular plane figures.

Example:

If x represents the length of a side of the square, write

expressions that represent the perimeter and area of the figure at

x the left.

11. Determine the surface area and volume of rectangular prisms, cylinders, and pyramids.

Estimating surface area and volume of solid figures

Determining the appropriate units of measure to describe surface area and volume

Developing formulas for determining surface area and volume of rectangular prisms,

cylinders, and pyramids

12. Determine the lengths of missing sides and measures of angles in similar and congruent

figures.

Applying proportional reasoning

Using dilations on the coordinate plane to determine measures of similar figures

Finding the ratios of the perimeters and areas of similar triangles, trapezoids, and

parallelograms

7

8th


Data Analysis and Probability

13. Interpret data from populations, using given and collected data.

Representing the data with the most appropriate graph, including box-and-whisker

plot, circle graph, and scatterplot

Making predictions by estimating the line of best fit from a scatterplot

Comparing data sets involving two populations

Determining the measure of center that is the most appropriate for a given situation

14. Determine the theoretical probability of an event.

Calculating the probability of complementary events and mutually exclusive events

Comparing experimental and theoretical probability

Computing the probability of two independent events and two dependent events

Determining the probability of an event through simulation

Example: using random numbers to find the probability of a basketball player

making six baskets in six attempts if he makes 60 percent of his shots

from the court and shoots 20 times during a game

8


9

SEVENTH GRADE

Students in seventh grade display a wide range of differences in intellectual development and

emotional maturity. As students mature, they experiment with new mathematical approaches

and concepts. The seventh-grade mathematics classroom environment encourages

communication, exploration, and risk taking that are critical as students become more confident

and learn to exist in an ever-changing world.

The seventh-grade curriculum addresses a number of important mathematical concepts. One of

the key topics is rational number operations. Seventh-grade students become fluent in rational

number operations and establish skills needed to become successful problem solvers. Solving

equations is another major focus of the curriculum as students prepare for further study of

algebra. Students continue to engage in thoughtful activities, using hands-on materials and

technology to explore important mathematical concepts included in the seventh-grade

curriculum.

Number and Operations

Students will:

1. Demonstrate computational fluency with addition, subtraction, and multiplication of

integers.

Developing algorithms for performing operations on integers

Example: determining a systematic set of steps that can be used to subtract

integers

Using inverse properties of addition and of multiplication

2. Use order of operations to evaluate numerical expressions.

Computing absolute values

Finding square roots of perfect squares through 225

Evaluating powers

Applying properties of operations to compute with integers, fractions, and decimals

3. Solve problems requiring the use of operations on rational numbers.

Describing the method used

Determining the reasonableness of results

Using percents to solve problems, including problems involving discounts, taxes,

commissions, and simple interest


10

Algebra

4. Express a pattern shown in a table, graph, or chart as an algebraic equation.

Recognizing the relationships between numerical patterns in tables and their

respective graphs in the coordinate plane

Example: recognizing the pattern illustrated in both the table and graph as y = 2x

x y 6

1 2

2 4 4

3 6

4 8

2

1 2 3 4

Determining if a constant rate of change exists in a pattern

5. Translate verbal phrases into algebraic expressions and algebraic expressions into verbal

phrases.

Exhibiting understanding of a variable as an unknown quantity

6. Solve one- and two-step equations.

Solving inequalities in one variable

Graphing solution sets of inequalities on a number line

Recognizing properties of equality

Geometry

7. Determine the transformation(s), including translations, reflections, or rotations, used to

alter the position of a polygon on the coordinate plane.

Determining the type of symmetry (rotational or line) found in a reflection or

rotation

Graphing transformations of quadrilaterals on the Cartesian plane by plotting the

vertices

Graphing figures which are similar to other figures using dilations


11

8. Recognize geometric relationships among two-dimensional and three-dimensional objects.

Drawing geometric figures when given specified components, including base and

height

Investigating properties and relationships among congruent figures

Identifying geometric ideas in settings outside the mathematics classroom

Examples: recognizing Escher drawings as examples of tessellations, the geodesic

dome as an example of triangulation, and architecture as an example of

constructing three-dimensional shapes; identifying landscape design as

an example of area

Using networks to represent and solve problems

Example: Find the number of paths from point A to point B.

A

B

Measurement

9. Solve problems involving circumference and area of circles.

Estimating circumference, diameter, and area

Determining appropriate units of measure to describe circumference, diameter, and

area

Measuring circumference and diameter using customary and metric units

Using circumference and diameter to approximate the value of π

Identifying π as an irrational number

Developing formulas for determining circumference and area

10. Find the perimeter of polygons and the area of triangles and trapezoids.

Developing formulas for determining perimeter and area of triangles and trapezoids

11. Solve problems involving ratios or rates, using proportional reasoning.

Determining the unit rate

Converting rates from one unit to another

Example: determining the number of minutes in three days

Converting units of length, weight, or capacity from metric to customary and from

customary to metric


12

Data Analysis and Probability

12. Determine measures of central tendency (mean, median, and mode) and the range using a

given set of data or graphs, including histograms, frequency tables, and stem-and-leaf plots.

Creating histograms

13. Determine the probability of a compound event.

Example: finding the probability of selecting at random a hamburger and lemonade

when choosing a sandwich and drink from two sandwich choices and three

drink choices

Representing outcomes as a list, chart, picture, or tree diagram

Determining the number of possible outcomes by using the fundamental counting

principle or other techniques

Modeling the probability of events through simulations with random numbers

Example: determining the probability of a baby being a boy by generating

random numbers, using a number cube with odd numbers representing

a boy, to simulate the outcomes

13

Alabama Reading and Mathematics Test

Grade 7 Mathematics

Content Standards Total

Points

Possible

Multiple-

Choice

Points

Possible

Gridded

Points

Possible

Open-

Ended

Points

Possible

Number and Operations 17 14 3 0

Demonstrate computational fluency with

addition, subtraction, and multiplication of

integers.

5 3 2 0

Use order of operations to evaluate

numerical expressions.

4 3 1 0

Solve problems requiring the use of

operations on rational numbers.

8 8 0 0

Algebra 12 12 0 0

Express a pattern shown in a table, graph, or

chart as an algebraic equation.

4 4 0 0

Translate verbal phrases into algebraic

expressions and algebraic expressions into

verbal phrases.

4 4 0 0

Solve one- and two-step equations. 4 4 0 0

Geometry 10 7 0 3

Determine the transformation(s) used to

alter the position of a polygon on the

coordinate plane.

4 4 0 0

Recognize geometric relationships among

two-dimensional and three-dimensional

objects.

6 3 0 3

Measurement 14 9 2 3

Solve problems involving circumference

and area of circles.

4 3 1 0

Find the perimeter of polygons and the area

of triangles and trapezoids.

4 3 1 0

Solve problems using proportional

reasoning.

6 3 0 3

Data Analysis and Probability 13 4 3 6

Determine measures of central tendency. 7 2 2 3

Determine the probability of a compound

event.

6 2 1 3

TOTAL 66 46 8 12

Multiple-choice and gridded questions are one point each. Open-ended questions are three points each.

14

ARMT Test Blueprints

Fact Sheet

Are you balancing your instructional time?

1. Find the number of questions for each grade level. (Clue: not the same as

number of points)

Grade Number of questions

6 55

7 58

8 60

2. Find the number of points for each test.

Grade Multiple choice Gridded Open-Ended Total points

6 44 7 12 63

7 46 8 12 66

8 45 10 15 70

3. List the strands and concepts for the Open-Ended questions.

Grade Strand/Concept Strand/Concept Strand/Concept Strand/Concept Strand/Concept

6

Number and

Operations Solve problems

involving decimals,

percents, fractions,

proportions.

Number and

Operations Solve problems

involving decimals,

percents, fractions,

proportions.

Measurement Solve problems

involving perimeter &

area of rectangles and

parallelograms.

Data Analysis &

Probability Interpret information

from bar graphs, line

graphs, and circle

graphs.

7

Geometry Recognize geometric

relationships among 2-

& 3-dimensional objects.

Measurement Solve problems using

proportional reasoning.

Data Analysis &

Probability Determine measures of

central tendency.

Data Analysis &

Probability Determine the

probability of a

compound event.

8

Algebra Graph linear relations by

plotting points or by

using slope and

y-intercept.

Algebra Graph linear relations by

plotting points or by

using slope and

y-intercept.

Geometry Solve problems using

the Pythagorean

Theorem.

Measurement Determine surface area

& volume of

rectangular prisms,

cylinders, & pyramids.

Data Analysis

& Probability Interpret data from

populations.

4. List the number of points received from Numbers and Operations in one column

and total number of points received from Algebra, Geometry, Measurement and Data Analysis

combined in the other column.

Grade Numbers & Operations Algebra, Geometry,

Measurement, Data Analysis

6 21 42

7 17 49

8 15 55

PATHWAYS FOR LEARNING – MATHEMATICS Revised July 2003 15

Alabama High School Graduation Exam Objectives Correlated to Pre-Algebra Grade 7

Objectives

SEMESTER

1

SEMESTER

2

NUMBER

OF ITEMS

I-1 Apply order of operations √ √ 4

I-2 Add and subtract polynomials 4

I-3 Multiply polynomials 4

I-4 Factor polynomials 4

II-1 Solve multi-step equations √ 4

II-2 Solve quadratic equations 4

II-3 Solve systems of linear equations 4

II-4 Solve multi-step inequalities √ 4

III-1 Identify functions 4

III-2 Find the range of functions 4

IV-1 Find perimeter, circumference, area, volume √ √ 4

IV-2 Find the distance, midpoint, slope √ 4

V-1, 4 Graph: Linear Equations; Common Relations √ 6

V-2 Graph lines given certain conditions √ 4

V-3 Determine solution sets of inequalities √ 4

VI-1 Translate: Verbal or Symbolic

Graph: Equations or Inequalities

6

VII-1 Apply properties and relationships between

angles

4

VII-2 Apply Pythagorean Theorem √ 4

VII-3 Apply properties of similar polygons √ √ 4

VII-4 Apply properties of geometric figures √ √ 4

VII-5 Determine measures of central tendency √ 4

VII-6 Determine probabilities √ 4

VII-7 Solve problems: Direct Variation 4

VII-8 Solve problems: Algebraic Concepts √ √ 4

TOTAL 100

16

R E F E R E N C E P A G E

Use the information below to answer questions on the Alabama High School Graduation Exam.

Some Abbreviations Used in Formulas

b1,b2 = bases of a trapezoid A = area S.A. = surface area

b = base of a polygon C = circumference V = volume

h = height or altitude r = radius B = area of the base

l = length d = diameter S = sum of interior

w = width = 3.14 angles of a convex polygon

P = perimeter n= number of sides of

symbol for a right angle D = distance a convex polygon

M = midpoint

m = the measure of an angle m = slope

Formulas

Triangle: A = 2

1 bh Distance Formula: D = 2

12

2

12 )()x(x yy

Parallelogram: A = bh Midpoint Formula: M =

2,

2

xx 2121 yy

Rectangle: A = lw Slope Formula: m =

12

12

xx

yy

Trapezoid: A = 2

1 h(b1 + b2)

Circle: C = d Sum of Measures of Interior Angles

C = 2r of a Convex Polygon: S = 180(n 2)

C = r2

Distance = rate time Quadratic Formula: x = a

4acbb2

2

Interest = principal rate time Pythagorean Theorem: c2 = a

2 + b

2

Surface Area Volume

Rectangular

Prism

S.A. = Ph + 2B

or

S.A. = 2(wh + lh + lw)

V = Bh

or

V = lwh

Cylinder S.A. = 2rh + 2r2

V = r2h

Forms of Equations

Standard form of an equation of a line: Ax + By = C

Slope-intercept form of an equation of a line: y = mx + b

Point-slope form of an equation of a line: y - y1 = m(x - x1)

17

AHSGE: MATHEMATICS PREPARATION TIPS

Teachers may…

Integrate cumulative review into assignments/tests.

Include multiple choice questions on tests.

Provide geometry practice problems with algebraic expressions as dimensions and with π (pi) in the answer.

Utilize bulletin boards to reinforce concepts being taught.

Hang posters of fast facts.

Construct word walls for vocabulary instruction.

Use spare minutes for warm-ups, “Do Nows,” problems of the day, etc.

Use function notation, f (x) for y, throughout the year.

Construct or purchase practice tests.

Emphasize how to solve inequalities when the variable is on the right and when multiplying or dividing by a negative number.

Teach converting radicals to decimal form.

Teachers should guide students to …

UNDERSTAND THE AHSGE √ Objectives and Eligible Content √ Number of questions √ NOT timed √ Acceptable forms of answers √ Arrangement of answers √ NO PENALTY for guessing √ Reference page available √ May write in test booklet or use scratch paper

Compile a file with sample questions for each objective.

Develop skills for eliminating answer choices.

Become familiar with a four-function calculator.

Take a diagnostic test to identify weaknesses.

Develop a positive attitude.

18

AHSGE: MATHEMATICS TEST TAKING SKILLS

Students should…

Listen to instructions.

Read all directions and follow them carefully.

Have a supply of #2 pencils with good erasers.

Read every word of the question (problem) and each answer choice and mark negative words.

Recognize and know the meaning of symbols.

Know about common errors made in algebra.

Look for information in the answer choices.

Decide on a strategy for guessing.

Work backward, sometimes, using the answer choices.

Analyze graph choices by √ Checking x- and y-intercepts √ Noting positive or negative slope √ Matching ordered pairs on graph to equation

Test all domain values when evaluating equations or functions.

Use geometric figures wisely: To scale or NOT? If not given, draw one and label it.

Know that unlabeled grids have scales of 1 unit.

Make sure all units of measure are the same (look at answer choices).

Learn the most common errors in algebraic computation.

Consider the quadratic formula (given on the reference page) when solving quadratic equations.

Answer all questions.

Check answers and put answers in the right place.

19

Standard 1. Students will be able to perform basic

operations on algebraic expressions. Objective 1. Apply order of operations

Please Excuse My Dear Aunt Sallie

(Parentheses, Exponents, Multiplication, Division, Addition,

Subtraction.)

Objective 2. Add and Subtract polynomials

Collect like terms. (Same variables with same exponents)

Objective 3. Multiply polynomials

Multiply coefficients & add exponents

Use distributive property

Use FOIL method

Use special products

Objective 4. Factor polynomials

Take out a common factor

Factor by reversing the FOIL method e Trial and error

Difference of two squares

Ex. x2 – 4 = (x + 2)(x – 2)

Standard II. Students will be able to solve equations and

inequalities.

Objective 1. Solve multi-step equations of the first degree

Get variable by itself by undoing the operations being done to

the variable. Undo by performing opposite operations.

Objective 2. Solve quadratic equations that are factorable.

Put equation in standard form (ax2 + bx + c = 0)

Factor completely by any means necessary

Set factors equal to zero

Solve for the variable

Objective 3. Solve systems of two linear equations

Solve by substitution or

Addition /subtraction

Objective 4. Solve multi-step inequalities of the first degree

Use the same process as solving multi-step equations except

when multiplying or dividing by a negative you must reverse

the inequality symbol.

Standard III. Students will be able to apply concepts

related to functions.

Objective 1. Identify functions

Identify a function by its graph.

(Use vertical line test.)

Identify a function by sets of ordered pairs.

(Each x value can only be paired with one y value.)

Identify a function by a function mapping.

(Each x value can is paired with a y value. Each x

value can only be paired with one y value.)

Objective 2. Find the range of functions when given the

domain

Solve the equation for y in terms of x.

Substitute values for x and find y.

The symbol f(x) means the same as y.

Standard IV. Students will be able to apply

formulas.

(Given the formula in problems)

Objective 1. Find the perimeter, circumference, area, or

volume of geometric figures.

Substitute into the formula and solve.

Objective 2. Find the distance, midpoint, or slope of line

segments when given two points.

Distance formula D = ( ) ( )x x y y2 1

2

2 1

2

Midpoint formula: MdPt =

2,

2

2121 yyxx

Slope formula: m =

12

12

xx

yy

Standard V. Students will be able to apply graphing

techniques.

Objective 1. Graph or identify graphs of linear equations.

Graph linear equations using a point plotting method

or putting equation in y = mx + b form.

The letter m is the slope and b is the y-intercept.

Go to the y-intercept and then go either up and to the

left or down and to the left according to the slope.

Lines sloping down from left to right have negative

slopes and up would be positive slopes.

Objective 2. Graph lines given certain conditions.

Same as above.

Objective 3. Determine solution sets of inequalities.

Graph the inequality as a linear equation.

Substitute a text point into the inequality to find the

solution set.

Objective 4. Identify graphs of common relations.

The equation y = b is a horizontal line

The equation x = a is a vertical line

Identify the following graphs.

y = x y = x

y = x2 y = x

Standard VI. Students will be able to represent problem

situations.

Objective 1. Translate verbal or symbolic information into

algebraic expressions or identify equations or inequalities

that represent graphs or problem situations.

Sum - addition, difference – subtraction, product –

multiplication, quotient – division.

Is – equals, of multiplication, more – add, less –

subtract

Less than <; greater than >’ at least >; at most <.

20

Standard VII. Students will be able to solve problems

involving a variety of algebraic and geometric concepts.

Objective 1. Apply properties of angles and relationships

between angles.

Acute angle – measure < 90°; right angle – measure = 90°;

obtuse angle – 90° < measure < 180°; straight angle –

measure = 180°

Complementary angles have a sum of 90°.

Supplementary angles have a sum of 180°.

Vertical pairs of angles are always equal.

Ex.

30° 30°

Alternate interior angles are congruent.

Ex.

Corresponding angles are congruent.

Ex.

Same-side interior angles are supplementary.

Ex.

A linear pair of angles is always supplementary.

Ex.

120° 60°

Objective 2. Apply Pythagorean Theorem.

a2 + b

2 = c

2

c

a

b

Objective 3. Apply properties of similar polygons.

The symbol for similar polygons is ~.

Ex. ∆ ABC ~ ∆ XYZ

Scale Factor is the simplified ratio of similar

polygons.

Find the missing sides of similar polygons – use

proportions.

Objective 4. Apply properties of plane and solid geometric

figures.

Find area and perimeter of triangles, rectangles, and

squares. (using formulas on the reference page)

Find area and circumference of a circle, given radius

or diameter.

Find the perimeter of a regular polygon, given one

side. (Regular polygons have congruent sides and

angles.)

Use sum of interior angles of a triangle or rectangle.

Angles of a triangle = 180°

Angles of a rectangle = 360°

Interior angle sum of any polygon (n – 2) 180

Objective 5. Determine measures of central tendency.

Mean – average; mode – most often; median –

middle value when arranged from least to greatest;

range – largest minus smallest

Objective 6. Determine probabilities

Number correct / number possibilities

Objective 7. Solve problems involving direct variation.

One value increased by a constant product of another. y = kx

where k is the constant of proportionality.

Objective 8. Solve problems involving algebraic concepts.

Use Distance = rate x time

Solve age problems referring only to present.

Consecutive integer problems.

Ex. x, x + 1, x + 2

Cost problems

Wage problems

Money problems, which may require a system of

equations.

21


Alabama High School Graduation Exam: Mathematics

Teacher

________________

Course__________________

Dates:

From _______________

To ________________

School

____________________

Students/Dates Taught

I-1

A

pp

ly o

rder

of

op

erat

ion

s –

4 i

tem

s

I-2

A

dd

and

sub

trac

t po

lyno

mia

ls –

4 i

tem

s

I-3

M

ult

iply

po

lyn

om

ials

– 4

ite

ms

I-4

F

acto

r po

lyn

om

ials

– 4

ite

ms

II-1

S

olv

e m

ult

i-st

ep e

qu

atio

ns

– 4

ite

ms

II-2

S

olv

e q

uad

rati

c eq

uat

ion

s –

4 i

tem

s

II-3

S

olv

e sy

stem

s o

f li

nea

r eq

uat

ion

s –

4 i

tem

s

II-4

S

olv

e m

ult

i-st

ep i

neq

ual

itie

s –

4 i

tem

s

III-

1 I

den

tify

fun

ctio

ns

– 4

ite

ms

III-

2

Fin

d t

he

ran

ge

of

fun

ctio

ns

– 4

ite

ms

IV –

1 F

ind

per

imet

er,

circ

um

fere

nce

, ar

ea,

vo

lum

e –

4 i

tem

s

IV –

2

Fin

d d

ista

nce

, m

idpo

int,

slo

pe

– 4

ite

ms

V-1

, 4

Gra

ph:

Lin

ear

Equ

atio

ns;

Co

mm

on

Rel

atio

ns

– 6

ite

ms

V-2

G

rap

h l

ines

giv

en c

erta

in c

on

dit

ion

s –

4 i

tem

s

V-3

D

eter

min

e so

luti

on

set

s o

f in

equ

alit

ies

– 4

ite

ms

VI-

1

Tra

nsl

ate:

Ver

bal

/Sy

mbo

lic;

Gra

ph

: E

qu

atio

ns/

ineq

ual

itie

s –

6 i

tem

s

VII

-1 A

pply

pro

per

ties

an

d r

elat

ion

ship

s b

etw

een

an

gle

s –

4 i

tem

s

VII

-2

App

ly P

yth

ago

rean

Th

eore

m –

4 i

tem

s

VII

-3

App

ly p

rop

erti

es o

f si

mil

ar p

oly

go

ns

– 4

ite

ms

VII

-4

App

ly p

rop

erti

es o

f g

eom

etri

c fi

gure

s –

4 i

tem

s

VII

-5

Det

erm

ine

mea

sure

s o

f ce

ntr

al t

end

ency

– 4

ite

ms

VII

-6 D

eter

min

e p

rob

abil

itie

s –

4 i

tem

s

VII

-7 S

olv

e p

rob

lem

s: D

irec

t V

aria

tio

n –

4 i

tem

s

VII

-8

So

lve

pro

ble

ms:

Alg

ebra

ic C

on

cep

ts –

4 i

tem

s

22


Alabama High School Graduation Exam: Mathematics

Teacher_________________

Course_____________________

Dates: From _______________

To ________________

School ____________________

Students/Dates Taught I-1

A

pp

ly o

rder

of

op

erat

ion

s –

4 i

tem

s

I-2

A

dd

and

sub

trac

t po

lyno

mia

ls –

4 i

tem

s

I-3

M

ult

iply

po

lyn

om

ials

– 4

ite

ms

I-4

F

acto

r po

lyn

om

ials

– 4

ite

ms

II-1

S

olv

e m

ult

i-st

ep e

qu

atio

ns

of

the

firs

t d

egre

e –

4 i

tem

s

II-2

S

olv

e q

uad

rati

c eq

uat

ion

s th

at a

re f

acto

rab

le –

4 i

tem

s

II-3

S

olv

e sy

stem

s o

f tw

o l

inea

r eq

uat

ion

s – 4

ite

ms

II-4

S

olv

e m

ult

i-st

ep i

neq

ual

itie

s o

f fi

rst

deg

ree

– 4

ite

ms

III-

1 I

den

tify

fun

ctio

ns

– 4

ite

ms

III-

2

Fin

d t

he

ran

ge

of

fun

ctio

ns

wh

en g

iven

th

e d

om

ain

– 4

ite

ms

IV –

1 F

ind

per

imet

er,

circ

um

fere

nce

, ar

ea,

vo

lum

e o

f g

eom

etri

c

fig

ure

s – 4

ite

ms

IV –

2

Fin

d d

ista

nce

, m

idpo

int,

slo

pe

of

lin

e se

gm

ents

wh

en g

iven

tw

o

po

ints

– 4

ite

ms

V-1

, 4

Gra

ph:

Lin

ear

Equ

atio

ns;

Co

mm

on

Rel

atio

ns

– 6

ite

ms

V-2

G

rap

h l

ines

giv

en c

erta

in c

on

dit

ion

s –

4 i

tem

s

V-3

D

eter

min

e so

luti

on

set

s o

f in

equ

ali

ties

– 4

ite

ms

VI-

1

Tra

nsl

ate:

Ver

bal

/Sy

mbo

lic;

Gra

ph

: E

qu

atio

ns/

ineq

ual

itie

s –

6

item

s

VII

-1 A

pply

pro

per

ties

of

ang

les

and

rel

atio

nsh

ips

bet

wee

n a

ng

les

– 4

item

s

VII

-2

App

ly P

yth

ago

rean

Th

eore

m –

4 i

tem

s

VII

-3

App

ly p

rop

erti

es o

f si

mil

ar p

oly

go

ns

– 4

ite

ms

VII

-4

App

ly p

rop

erti

es o

f p

lan

e an

d s

oli

d g

eom

etri

c fi

gu

res

– 4

ite

ms

VII

-5

Det

erm

ine

mea

sure

s o

f ce

ntr

al t

end

ency

– 4

ite

ms

VII

-6 D

eter

min

e p

rob

abil

itie

s –

4 i

tem

s

VII

-7 S

olv

e p

rob

lem

s in

vo

lvin

g D

irec

t V

aria

tio

n –

4 i

tem

s

VII

-8

So

lve

pro

ble

ms

inv

olv

ing

al

geb

raic

an

d g

eom

etri

c co

nce

pts

– 4

item

s

23


Alabama High School Graduation Exam: Mathematics Student ______________________________________

Teacher / Year

School I-1

A

pp

ly o

rder

of

op

erat

ion

s –

4 i

tem

s

I-2

A

dd

and

sub

trac

t po

lyno

mia

ls –

4 i

tem

s

I-3

M

ult

iply

po

lyn

om

ials

– 4

ite

ms

I-4

F

acto

r po

lyn

om

ials

– 4

ite

ms

II-1

S

olv

e m

ult

i-st

ep e

qu

atio

ns

of

the

firs

t d

egre

e –

4 i

tem

s

II-2

S

olv

e q

uad

rati

c eq

uat

ion

s th

at a

re f

acto

rab

le –

4 i

tem

s

II-3

S

olv

e sy

stem

s o

f tw

o l

inea

r eq

uat

ion

s – 4

ite

ms

II-4

S

olv

e m

ult

i-st

ep i

neq

ual

itie

s o

f fi

rst

deg

ree

– 4

ite

ms

III-

1 I

den

tify

fun

ctio

ns

– 4

ite

ms

III-

2

Fin

d t

he

ran

ge

of

fun

ctio

ns

wh

en g

iven

th

e d

om

ain

– 4

ite

ms

IV –

1 F

ind

per

imet

er,

circ

um

fere

nce

, ar

ea,

vo

lum

e o

f g

eom

etri

c fi

gu

res

– 4

item

s

IV –

2

Fin

d d

ista

nce

, m

idpo

int,

slo

pe

of

lin

e se

gm

ents

wh

en g

iven

tw

o p

oin

ts

– 4

ite

ms

V-1

, 4

Gra

ph:

Lin

ear

Equ

atio

ns;

Co

mm

on

Rel

atio

ns

– 6

ite

ms

V-2

G

rap

h l

ines

giv

en c

erta

in c

on

dit

ion

s –

4 i

tem

s

V-3

D

eter

min

e so

luti

on

set

s o

f in

equ

alit

ies

– 4

ite

ms

VI-

1

Tra

nsl

ate:

Ver

bal

/Sy

mbo

lic;

Gra

ph

: E

qu

atio

ns/

ineq

ual

itie

s –

6 i

tem

s

VII

-1 A

pply

pro

per

ties

of

ang

les

and

rel

atio

nsh

ips

bet

wee

n a

ng

les

– 4

ite

ms

VII

-2

App

ly P

yth

ago

rean

Th

eore

m –

4 i

tem

s

VII

-3

App

ly p

rop

erti

es o

f si

mil

ar p

oly

go

ns

– 4

ite

ms

VII

-4

App

ly p

rop

erti

es o

f p

lan

e an

d s

oli

d g

eom

etri

c fi

gu

res

– 4

ite

ms

VII

-5

Det

erm

ine

mea

sure

s o

f ce

ntr

al t

end

ency

– 4

ite

ms

VII

-6 D

eter

min

e p

rob

abil

itie

s –

4 i

tem

s

VII

-7 S

olv

e p

rob

lem

s in

vo

lvin

g D

irec

t V

aria

tio

n –

4 i

tem

s

VII

-8

So

lve

pro

ble

ms

inv

olv

ing

al

geb

raic

an

d g

eom

etri

c co

nce

pts

– 4

ite

ms

24

Middle School Pre-Algebra

First Semester

Remarks / Comments Lesson Date: _________

Comment(s): _________

_______________

_______________

_______________

_______________

_______________

Lesson Date: _________

Comment(s): _________

_______________

_______________

_______________

_______________

_______________


Comment(s): _________

_______________

_______________

_______________

_______________

_______________


Comment(s): _________

_______________

_______________

_______________

_______________

_______________


Comment(s): _________

_______________

_______________

_______________

_______________

_______________


Comment(s): _________

_______________

_______________

_______________

_______________

_______________

Second Semester

Remarks / Comments Lesson Date: _________

Comment(s): _________

_______________

_______________

_______________

_______________

_______________


Comment(s): _________

_______________

_______________

_______________

_______________

_______________


Comment(s): _________

_______________

_______________

_______________

_______________

_______________


Comment(s): _________

_______________

_______________

_______________

_______________

_______________


Comment(s): _________

_______________

_______________

_______________

_______________

_______________


Comment(s): _________

_______________

_______________

_______________

_______________

_______________

25


Pre-AP Pre-Algebra First Semester Objectives

First Semester Assessment (CRT) will be using ThinkLink Probes

December 5 – 12, 2011

When teaching objectives, use examples and assign practice involving decimals and

fractions in addition to whole numbers. Teach using real world applications and

appropriate problem solving strategies.

The student will be able to:

Demonstrate a knowledge of all vocabulary

Apply number theory

Identify prime and composite numbers

Factor Natural Numbers

Find and use the LCM and the GCF to solve problems

Use the Real Number System and its’ properties

Apply rules for operations with Real Numbers

Model Real Numbers on the number line, write opposites, absolute values, and

reciprocals

Apply the rule for simplifying and evaluating expressions using Order of

Operations

Solve simple equations: two-step and multi-step using addition, subtraction,

multiplication, division, and the Distributive Property

Translate verbal phrases into algebraic expressions and vice versa

Express a pattern in a table, graph, or chart as an algebraic expression

Simplify algebraic expressions containing exponents (positive, negative, and

zero)

Add, subtract, multiply, and divide rational numbers

Solve equations containing rational numbers

Write ratios, rates, and solve proportions; determine percent of increase or

decrease, and solve percent equations

Write and use fraction, decimal, and percent equivalence

Determine measures of central tendency: mean, median, mode, and range

Use box-and-whisker plots, stem-and leaf plots, and histograms to organize

and interpret data

Use probability, permutations, and combinations in problem solving

Understand and use the Coordinate Plane

Use scale drawings and maps in problem solving


Pre-AP Pre -Algebra – Grade 7

PACING GUIDE

Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real

World Applications Revised June 2011

26

DATE

LESSON PLAN

ALABAMA

COURSE OF STUDY

Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

08/08/11

In-House

Professional Development Day

(No Students)

Tuesday

08/09/11

Teacher Work Day

(No Students)

Wednesday

08/10/11

First Semester Begins

First Day for Students

Discuss: course description,

expectations (classroom rules and

grading), materials and supplies

(pencils, loose-leaf paper, graph

paper, folders, etc.), and notebook

organization

(Gr.7) 1, 2, 3

Multiple Choice

Gridded

Thursday

08/11/11

ARMT Item Specifications for

Mathematics Grade 7

pp. 5-13

(Gr.7) 1, 2, 3

Multiple Choice

Gridded

Friday

8/12/11

Chapter 1: The Tools of Algebra

1.1 Using Problem-Solving Plan

1.2 Numbers and Expressions

(Gr.7) 3, 5

(Gr. 8) 3,4

Multiple Choice

Gridded

Chapter 1 Resource Masters

Teacher’s Edition p. 4B

AIMS pp. 8 – 33

AB Labs 1.1 – 1.4

26



PACING GUIDE



27

DATE

LESSON PLAN

ALABAMA

COURSE OF STUDY

Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

08/15/11

1.3 Variables and Expressions

1.4 Properties

(Gr.7) 2

(Gr.8) 3

Chapter 1

Resource Masters


Tuesday

08/16/11

Quiz/ Vocabulary quiz

1.5 Variables and Equations

Lab 1

(Gr.7) 2, 5

(Gr.8) 4, 5

Chapter 1

Resource Masters


Wednesday

08/17/11

1.6 Ordered Pairs and Relations

(Gr.7) 4

Chapter 1

Resource Masters


AIMS pp. 12-22

Thursday

08/18/11

1.7 Scatter Plots

Activity: Scatter Plots p. 39

Real World Application p. 1

(Gr.7) 4

(Gr. 8) 13

Friday

08/19/11

Chapter 1: Standardized Test

Practice pp. 52-53 TWE

(Gr.7) 2, 3, 4, 5

(Gr.8) 3, 4, 13

27



PACING GUIDE



28

DATE

LESSON PLAN

ALABAMA COURSE OF

STUDY Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

08/22/11

Assessment: Chapter 1 Test

Tuesday

08/23/11

Use Handout: Draft 7th

Grade Lesson

Plans ACOS Objective # 12: Determine

measures of central tendency.

5.8 Measures of Central Tendency

Activity: Mean, Mode, and Median

pp. 71-72

Real World Applications p. 5

(Gr.7) 12

(Gr.8) 13

Multiple Choice

Gridded

Open-ended

Chapter 5

Resource Masters

Teacher’s Edition

p. 198B

Wednesday

08/24/11

Cont…5.8 Measures of Central

Tendency

Activity: Mean Deviation p. 73

Laying the Foundation

“Measures of Central Tendency and

Variability”

(Gr.7) 12

(Gr.8) 13

Multiple Choice

Gridded

Open-ended


Thursday

08/25/11

Review Prerequisite Skills p. 605

Chapter 12: More Statistics and

Probability

12.1 Stem-and-Leaf Plots

12.2 Measures of Variation

(Gr.7) 12

(Gr.8) 13

Chapter 12

Resource Masters

Teacher’s Edition

p. 604B

Friday

08/26/11

12.4 Histograms

(Gr.8) 13

Chapter 12

Resource Masters

Teacher’s Edition

p. 604B

28



PACING GUIDE



29

DATE

LESSON PLAN

ALABAMA

COURSE OF STUDY

Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

08/29/11

12.5 Misleading Statistics

12.6 Counting Outcomes

(Gr.7) 13

(Gr.8) 13

Tuesday

08/30/11

Cont… 12.6 Counting Outcomes

Wednesday

08/31/11

12.7 Permutations and Combinations

12.8 Odds

(Gr.7) 13

(Gr.8) 14

Multiple Choice

Gridded

Open-ended

Thursday

09/01/11

Cont… 12.7 and 12.8

Friday

09/02/11

District-Wide Professional Development Day

(No Students)

7th

Grade

ARMT Training for at least First and Second

Year Teachers

8:00 – 11:00 Lane Teacher Center

29



PACING GUIDE



30

DATE

LESSON PLAN

ALABAMA

COURSE OF STUDY

Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

09/05/11

LABOR DAY NO SCHOOL

Schools & District Offices Closed

Tuesday

09/06/11


Grade Lesson Plans

ACOS Objective # 13: Determine the

probability of a compound event.

12.9 Probability of Compound Events

*Include measures of Central Tendency on

Chapter Test

(Gr.7) 13

(Gr.8) 14

Multiple Choice

Gridded

Open-ended

Wednesday

09/07/11

Cont … Handout and 12.9

Review Probability and Statistics for

Chapter Test to include measures of central

tendency

Assign Project from Laying the Foundation

“Stem-and-Leaf Plot”


Students will complete

this assignment in

groups of three

Thursday

09/08/11


Family Fun (Binomial Probability)

Chapter 2: Integers

Define chapter terms

2.1 Integers and Absolute Values


(Gr.7) 2

(Gr.8) 1,3

Multiple Choice

Gridded

Open-ended

Chapter 2

Resource Masters

Teacher’s Edition

p. 54B


Friday

09/09/11

Cont…2.1 Integers and Absolute Values

Lab 2: Electrical Charges

(Gr.7) 2

(Gr.8) 1,3

Multiple Choice

Gridded

30



PACING GUIDE



31

DATE

LESSON PLAN

ALABAMA

COURSE OF STUDY

Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

09/12/11

2.2 Adding Integers

Activity: Adding Integers pp. 38 – 40

(Gr.7) 1,2

Multiple Choice

Gridded

Chapter 2

Resource Masters


Tuesday

09/13/11

Progress Reports Go Home

Cont…2.2 Adding Integers

QUIZ 2.1 and 2.2

(Gr.7) 1,2

Wednesday

09/14/11

2.4 Multiplying Integers

2.5 Dividing Integers

(Gr.7) 1, 2

(Gr. 8) 3

Multiple Choice

Gridded

Chapter 2

Resource Masters

Teacher’s Edition

p. 54B

AB Labs 5.2 – 5.5

Thursday

09/15/11

Cont…2.4 Multiplying Integers

Cont…2.5 Dividing Integers

Activity: Multiplying Integers pp. 42 – 43

(Gr.7) 1, 2

(Gr.8) 3

Multiple Choice

Gridded

Friday

09/16/11

QUIZ 2.1, 2.2, 2.4, 2.5

2.3 Subtracting Integers

(Gr.7) 1, 2, 4

Multiple Choice

Gridded

Chapter 2

Resource Masters

Teacher’s Edition

p. 54B

31



PACING GUIDE



32

DATE

LESSON PLAN

ALABAMA

COURSE OF STUDY

Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

09/19/11

Cont…2.3 Subtracting Integers

Activity: Subtracting Integers

pp. 41 – 43

(Gr.7) 1, 2, 4

Multiple Choice

Gridded

Tuesday

09/20/11

QUIZ 2.3

Use a mixed review of all operations

using integers (Include decimals,

simple fractions, and zero)

Wednesday

09/21/11

Vocabulary quiz (Very Important)

2.6 The Coordinate System

:

Chapter 2: Standardized Practice

Test

(Gr.7) 1, 2, 4

(Gr.8) 1, 3, 4

Multiple Choice

Chapter 2

Resource Masters

Teacher’s Edition

p. 54B

Thursday

09/22/11


“Sketch My Graph”


Friday

09/23/11

Assessment: Chapter 2

32



PACING GUIDE

Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World

Applications Revised June 2011

33

DATE

LESSON PLAN

ALABAMA COURSE

OF STUDY Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

09/26/11

Chapter 3:Equations


3.1 The Distributive Property

Activity: Distributive Property

pp. 47 – 48

(Gr.7) 6

Chapter 3

Resource Masters

Teacher’s Edition

p. 96B

Tuesday

09/27/11

Cont … 3.1

3.2 Simplifying Algebraic Expressions

(Gr.7) 5

(Gr.8) 3

Multiple Choice

Chapter 3

Resource Masters

Teacher’s Edition

p. 96B

Wednesday

09/28/11

3.3 Solving Equations by Adding or

Subtracting

(horizontal and/or vertical method)

(Gr.7) 6

Multiple Choice

Chapter 3

Resource Masters

Teacher’s Edition

p. 96B Hands-on-Equations

Thursday

09/29/11

Cont…3.3 Solving Equations

Activity: Solving Equations with

Algebra Tiles pp. 49 – 51

(Gr.7) 6

Multiple Choice

Hands-On- Equations

Friday

09/30/11

Equations 3.4 Solving by Multiplying or

Dividing


(Gr.7) 6

Multiple Choice

Chapter 3

Resource Masters

Teacher’s Edition

p. 96B

33

+



PACING GUIDE



34

DATE

LESSON PLAN

ALABAMA COURSE


ARMT

OTHER RESOURCES

Monday

10/03/11

3.5 Solving Two-Step Equations

Lab 9 pp. 37 – 40

ARMT Probes October 3 – 7, 2011

(Gr.7) 6

(Gr.8) 6

Multiple Choice

Chapter 3

Resource Masters


Tuesday

10/04/11

Cont…3.5

Activity: Two-Step Equations

pp. 52 - 54

(Gr.7) 6

(Gr.8) 6

Multiple Choice

Wednesday

10/05/11

ARMT Practice #1

(15 minutes)

3.6 Writing Two-Step Equations

(Gr.7) 5,6

(Gr.8) 4 , 6

Multiple Choice

Chapter 3

Resource Masters


Thursday

10/06/11

Cont…3.6 Writing Two-Step

Equations

Activity: Discovering Patterns in

Mathematics p. 55

(Gr.7) 5, 6

Multiple Choice

Friday

10/07/11

3.7 Using Formulas

Study Guide

(Gr.7) 9, 10

(Gr.8) 4, 10

Chapter 3

Resource Masters


34



PACING GUIDE



35

DATE

LESSON PLAN

ALABAMA COURSE


ARMT

OTHER RESOURCES

Monday

10/10/11

Cont…3.7 Using Formulas

(Gr.7) 2, 4, 6

(Gr.8) 13

Tuesday

10/11/11

Review Sections 3.1 – 3.7

Wednesday

10/12/11


Thursday

10/13/11

Chapter 4: Factors and Fractions

Activity: Finding Factors


(homework) 4.1 Factors and Monomials

(Gr.8) 1

Chapter 4

Resource Masters

Teacher’s Edition

p. 146B

Friday

10/14/11

4.2 Powers and Exponents

(Gr.7) 2

(Gr.8) 3

Chapter 4

Resource Masters

Teacher’s Edition

p. 146B

35



PACING GUIDE



36

DATE

LESSON PLAN

ALABAMA COURSE


ARMT

OTHER RESOURCES

Monday

10/17/11

Cont … 4.2 (Teach for Mastery)

Tuesday

10/18/11

4.3 Prime Factorization

Activity: Prime Numbers p. 61

(Gr.8) 1

Chapter 4

Resource Masters

Teacher’s Edition

p. 146B

Wednesday

10/19/11

Early Dismissal

Parents will pick-up Report Cards

4.4 Greatest Common Factors (GCF)

(Gr.8) 1

Chapter 4

Resource Masters

Teacher’s Edition

p. 146B

Thursday

10/20/11

Assessment: Mid-Chapter Test

4.5 Simplifying Algebraic Fractions

(Gr.7) 2

(Gr.8) 1, 3

Friday

10/21/11

Cont … 4.5 Simplifying Algebraic

Fractions

(Gr.7) 5,6

(Gr.8) 1

Multiple Choice

Chapter 4

Resource Masters

Teacher’s Edition

36



PACING GUIDE



37

DATE

LESSON PLAN

ALABAMA COURSE


ARMT

OTHER RESOURCES

Monday

10/24/11

4.6 Multiplying and Dividing

Monomials

Activity: Equivalent Fraction

pp. 62-63

(Gr.8) 2

Multiple Choice

Chapter 4

Resource Masters

Teacher’s Edition

p. 146B

Tuesday

10/25/11

Cont… 4.6 Multiplying and

Dividing Monomials

(Gr.8) 2

Multiple Choice

Wednesday

10/26/11

4.7 Negative Exponents

(Gr.7) 2

Multiple Choice

Chapter 4

Resource Masters

Teacher’s Edition

p. 146B

Thursday

10/27/11

Cont … 4.7

4.8 Scientific Notation

Activity: Operations with

Scientific Notation p. 64

Study Guide

(Gr.7) 2

Multiple Choice

Chapter 4

Resource Masters

Teacher’s Edition

p. 146B

Friday

10/28/11

Fall Break

(Schools & District Offices Closed)

37



PACING GUIDE



38

DATE

LESSON PLAN

ALABAMA COURSE


ARMT

OTHER RESOURCES

Monday

10/31/11

Cont…4.8 Scientific Notation

(Gr.7) 1, 2

Tuesday

11/01/11

Assessment on Sections 4.7 and 4.8

ARMT Probes November 1 – 7, 2011

Wednesday

11/02/11

ARMT Practice #2

(15 minutes)

Chapter 5: Rational Numbers

Define chapter terms (homework)

5.1 Writing Fractions as Decimals

(Gr. 7) 3

(Gr. 8) 1

Multiple Choice

Chapter 5

Resource Masters

Teacher’s Edition

p. 198B

Thursday

11/03/11

5.2 Rational Numbers

Activity: Fractions p. 69

(Gr. 7) 3

(Gr. 8) 1,10

Multiple Choice

Chapter 5

Resource Masters

Teacher’s Edition

p. 198B

Friday

11/04/11

5.3 Multiplying Rational Numbers

Lab 3: Plant Growth

pp. 9 – 12

(Gr. 7) 3

(Gr. 8) 1

Multiple Choice

Chapter 5

Resource Masters

Teacher’s Edition

p. 198B

38



PACING GUIDE



39

DATE

LESSON PLAN

ALABAMA COURSE OF STUDY

Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

11/07/11

5.4 Multiplying Rational Numbers

Lab 3: Plant Growth

pp. 9 - 12

Tuesday

11/08/11

Review Sections 5.1 – 5.4

5.5 Adding and Subtracting Like

Fractions

(Gr. 7) 2

(Gr. 8) 1

Multiple Choice

Chapter 5

Resource Masters


Wednesday

11/09/11

5.6 Least Common Multiple

(Gr. 7) 3

(Gr. 8) 1

Multiple Choice

Chapter 5

Resource Masters


Thursday

11/10/11

Quiz 5.1 and 5.6

5.7 Adding and Subtracting Unlike

Fractions

(Gr. 7) 2

(Gr. 8) 1

Multiple Choice

Chapter 5

Resource Masters

Teacher’s Edition

p. 198B

Friday

11/11/11

Veteran’s Day


39



PACING GUIDE



40

DATE

LESSON PLAN

ALABAMA COURSE


ARMT

OTHER RESOURCES

Monday

11/14/11

Cont … Adding & Subtracting

Unlike Fractions

Tuesday

11/15/11

5.9 Solving Equations with Rational

Numbers

(Gr. 7) 3

(Gr. 8) 10

Multiple Choice

Chapter 5

Resource Masters

Teacher’s Edition

p. 198B

Wednesday

11/16/11


Study Guide and Review

pp. 254 - 259

(Gr. 7) 2, 3

(Gr. 8) 1, 10

Thursday

11/17/11


Friday

11/18/11

Chapter 6: Ratio, Proportion, and

Percent


Grade Lesson

Plans ACOS Objective # 11: Solve

problems using proportional reasoning.


6.1 Ratios and Rates

(Gr. 7) 3, 11

(Gr. 8) 1

Multiple Choice

Chapter 6

Resource Masters

Teacher’s Edition

p. 262B

AIMS pp. 43-51

40



PACING GUIDE



41

DATE

LESSON PLAN

ALABAMA

COURSE OF STUDY

Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

11/21/11

6.2 Using Proportions

Activity: Capture-Recapture

pp. 84 - 86

(Gr. 7) 3, 11

(Gr. 8) 1

Multiple Choice

Chapter 6

Resource Masters


Tuesday

11/22/11

Cont … 6.2

Lab 18: Physical Factors of Soil

pp.81 – 84

(Gr. 7) 2

(Gr. 8) 1

Multiple Choice

Chapter 6

Resource Masters


Wednesday

11/23/11

Thanksgiving Holiday


Thursday

11/24/11



Friday

11/25/11



41



PACING GUIDE



42

DATE

LESSON PLAN

ALABAMA

COURSE OF STUDY Grades 7

and 8

ARMT

OTHER RESOURCES

Monday

11/28/11

6.3 Scale Drawings and Models

(Gr. 7) 8

(Gr. 8) 1

Chapter 6

Resource Masters


Tuesday

11/29/11

6.4 Fractions, Decimals, and Percents

(Gr. 7) 2

(Gr. 8) 1

Chapter 6

Resource Masters


Wednesday

11/30/11

Assessment: Quiz 6.1-6.4

6.5 Using the Percent Proportion

(Gr. 7) 3, 11

(Gr. 8) 1

Multiple Choice

Chapter 6

Resource Masters


Thursday

12/01/11

Cont…6.5 Using the Percent

Proportion

Activity: Percents, Fractions, and

Circle Graphs pp. 87 – 89

(Gr. 7) 3, 11

(Gr. 8)1

Friday

12/02/11

Review for First Semester CRT

6.8 Percent of Change

(Gr. 7) 3, 11

42



PACING GUIDE



43

DATE

LESSON PLAN

ALABAMA COURSE


ARMT

OTHER RESOURCES

Monday

12/05/11

First Semester Pre-Algebra CRT Probes

December 5 -12, 2011

Tuesday

12/06/11



Wednesday

12/07/11



Thursday

12/08/11



6.9 Probability and Predictions

Activity: Taking a Survey p. 94

(Gr. 7) 13

(Gr. 8) 14

Chapter 6

Resource Masters

Teacher’s Edition

p. 262B

Friday

12/09/11



Cont…6.9 Probability and Predictions

(Gr. 7) 13

(Gr. 8) 14

43



PACING GUIDE



44

DATE

LESSON PLAN


Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

12/12/11



Assessment : Chapter 6 Test

Tuesday

12/13/11

Teacher Developed First Semester Assessment

Wednesday

12/14/11

1.) Make-Up

2.) Review 2011 CRT Probes or Review

Teacher Developed Assessment

Thursday

12/15/11

End of First Semester

(Last Day for Students and Teachers)

Friday

12/16/11

December 16 – January 3

Students’ Christmas Holidays

44



PACING GUIDE



45

Monday

Tuesday

Wednesday

Thursday

Friday

46


Pre-AP Pre-Algebra Second Semester Objectives

Second Semester Assessment (CRT) will be administered using

ThinkLink Probes May 7 – 14, 2012

When teaching objectives, use examples and assign practice involving decimals and fractions in

addition to whole numbers. Teach using real world applications and appropriate problem

solving strategies.


Demonstrate proficiency in the use of First Semester Vocabulary and develop a

thorough knowledge of Second Semester Vocabulary

*Compute using integer operations, solve basic equations, apply order of operations,

evaluate and simplify algebraic expressions containing whole numbers, decimals, and

fractions

Solve equations including variables on each side and grouping symbols

Solve and graph simple inequalities using addition, subtraction, multiplication, and

division

Use functions to describe relationships between two quantities and determine

whether relations are functions

Explore similarity and congruence in polygons; solve problems involving similar

figures; and use indirect measurement

Use angle and side relationships to solve problems

Explore square roots and solve equations whose solutions are square roots

Use the Pythagorean Theorem in solving problems

Find the distance and/or midpoint of line segments given two points

Compute area and perimeter of triangles, parallelograms, and trapezoids

Use area and perimeter in solving real-life problems

Compute volume and surface area of prisms, cylinders, pyramids, and cones

Compute the circumference and area of a circle

Recognize geometric relationships among two and three dimensional objects

Identify transformations; reflections, rotations, and translations

Determine the slope and y-intercept of a line

Write the equation of a line given the slope and y-intercept; a graph; a table; or two

points



PACING GUIDE



47

DATE

LESSON PLAN

ALABAMA

COURSE OF STUDY

Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

01/02/12

In-House


(No Students)

Tuesday

01/03/12

Schools Re-Open

Chapter 7: Equations and Inequalities


7.1 Solving Equations with

Variables on Each Side

(Gr. 7) 6

(Gr. 8) 6

Multiple Choice

Chapter 7

Resource Masters

Teacher’s Edition

p. 326B

Wednesday

01/04/12

Cont…7.1 Solving Equations with




pp. 97 – 100

Thursday

01/05/12


Grouping Symbols


(Gr. 7) 6

(Gr. 8) 6

Multiple Choice

Chapter 7

Resource Masters

Teacher’s Edition

p. 326B

Friday

01/06/12

Cont … 7.2

Assessment 7.1 – 7.2 on Monday

47



PACING GUIDE



48

DATE

LESSON PLAN

ALABAMA

COURSE OF STUDY

Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

01/09/12

Assessment: Quiz 7.1-7.2

*Review the four basic algebraic equations

– show the relationship that exists for

inequalities

7.3 Inequalities

Activity: Inequalities and the

Number Line p. 101

(Gr. 7) 6

(Gr. 8) 6

Chapter 7

Resource Masters

Teacher’s Edition

p. 326B

Tuesday

01/10/12

Cont … 7.3

7.4 Solving Inequalities by Adding or

Subtracting

(Gr. 7) 6

Multiple Choice

Chapter 7

Resource Masters

Teacher’s Edition

p. 326B

Wednesday

01/11/12

7.5 Solving Inequalities by

Multiplying or Dividing

(Gr. 7) 6

Multiple Choice

Thursday

01/12/12

7.6 Solving Multi-Step Inequalities

(Gr. 7) 6

Multiple Choice

Friday

01/13/12

ARMT Probes January 13 – 20, 2012

Cont … 7.6

48



PACING GUIDE



49

DATE

LESSON PLAN

ALABAMA

COURSE OF STUDY

Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

01/16/12

Dr. Martin Luther King, Jr. Day


01/17/12


Study Guide and Chapter Review

pp. 360 – 362

(Gr. 7) 6

(Gr. 8) 6

Wednesday

01/18/12

ARMT Practice # 3

(15 minutes)


(Gr. 7) 4

(Gr. 8) 5

Multiple Choice

Thursday

01/19/12

8.1 Functions

8.2 Linear Functions in Two Variables

(Gr. 7) 4

(Gr. 8) 4, 5, 10

Multiple Choice

Chapter 8

Resource Masters

Teacher’s Edition

p. 326B

Friday

01/20/12

Cont…8.2 Linear Functions in Two

Variables

(Gr. 7) 4

(Gr.8) 4, 5, 10

Multiple Choice

49



PACING GUIDE



50

DATE

LESSON PLAN

ALABAMA

COURSE OF STUDY

Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

01/23/12

Assessment: Quiz 8.1 -8.2

Chapter 9: Real Numbers and

Right Triangles


(Gr. 7) 4

(Gr. 8) 4, 5, 10

Tuesday

01/24/12

9.1 Squares and Square Roots

(Gr. 7) 10

Multiple Choice

Gridded

Chapter 9

Resource Masters

Teacher’s Edition

p. 366B

Wednesday

01/25/12

9.3 Angles

(Gr. 8) 9

Chapter 9

Resource Masters

Teacher’s Edition

p. 366B

Thursday

01/26/12

9.4 Triangles

(Gr. 8) 8

Chapter 9

Resource Masters

Teacher’s Edition

p. 366B

Friday

01/27/12

9.7 Similar Triangles and Indirect

Measurements

Activity: Similar Triangles and

Indirect Measurement p. 119

(Gr.7) 8

(Gr. 8) 1,8,12

Multiple Choice

Open - Ended

Chapter 9

Resource Masters

Teacher’s Edition

p. 366B

50



PACING GUIDE



51

DATE

LESSON PLAN

ALABAMA

COURSE OF

STUDY

Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

01/30/12

Cont … 9.7

Assessment Sections 9.1, 9.3, 9.4, 9.7

Tuesday

01/31/12

Chapter 10:Two Dimensional

Figures


Grade Lesson

Plans ACOS Objective # 8: Recognize

geometric relationships among two-

dimensional and three-dimensional

objects.


10.1 Line and Angle Relationships

Activity: Constructions p. 126

(Gr.7) 8

(Gr. 8) 9

Multiple Choice

Open - Ended

Chapter 10

Resource Masters

Teacher’s Edition

p. 490B

Wednesday

02/01/12

Cont… 10.1

Thursday

02/02/12

Assessment Section 10.1 and Handout

ACOS Objective # 8

Friday

02/03/12

Chapter 11:Three-Dimensional

Figures


11.1 Three-Dimensional Figures

Activity: Building Three-

Dimensional Figures p. 143

(Gr.7) 8

Multiple Choice

Open - Ended

Chapter 11

Resource Masters

Teacher’s Edition

p. 552B

51



PACING GUIDE



52

DATE

LESSON PLAN

ALABAMA

COURSE OF STUDY

Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

02/06/12

Cont … 11.1 Three-Dimensional Figures

Tuesday

02/07/12

Cont … 11.1 Three-Dimensional Figures

Wednesday

02/08/12

Assessment: Chapters 11

Include Handouts

Thursday

02/09/12


10.2 Congruent Triangles

Activity: Exploring Congruence p. 127

Friday

02/10/12


Grade Lesson

Plans ACOS Objective # 7: Determine

the transformation(s) used to alter the

position of a polygon on the coordinate

plane.

10.3 Transformations on the

Coordinate Plane

(Gr.7) 7

Multiple Choice

Chapter 10

Resource Masters

Teacher’s Edition

p. 490B



PACING GUIDE



53

DATE

LESSON PLAN

ALABAMA

COURSE OF STUDY

Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

02/13/12

Cont … 10.3

Activity: Symmetry and Dilations

pp. 128 – 129

(Gr.7) 7

Multiple Choice

Chapter 10

Resource Masters

Teacher’s Edition

p. 490B

Tuesday

02/14/12

Cont … 10.3

Laying The Foundation

“Pictures and Transformations”

(Gr.7) 7

Multiple Choice


Wednesday

02/15/12

10.4 Quadrilaterals

(Gr.8) 8

Thursday

02/16/12


Grade Lesson

Plans ACOS Objective # 10: Find the

perimeter of polygons and the area of

triangles and trapezoids.

10.5 Areas: Parallelograms, Triangles,

and Trapezoids

Perimeter of Polygons

ARMT Probes February 16 - 24, 2012

(Gr. 7) 10

(Gr. 8) 10

Multiple Choice

Gridded

Chapter 10

Resource Masters

Teacher’s Edition

p. 490B

Friday

02/17/12

District-Wide Professional Development

(No Students)

53



PACING GUIDE



54

DATE

LESSON PLAN

ALABAMA

COURSE OF STUDY

Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

02/20/12

Presidents’ Day

(Schools and District Offices Closed)

Inclement Weather Day

Tuesday

02/21/12

ARMT Probes February 16 – 24, 2012

Cont … 10.5

Laying The Foundation

“A Shoe Print, Trapezoids, and Area”


Wednesday

02/22/12

ARMT Practice # 4

(15 minutes)

Cont … 10.5

Thursday

02/23/12

10.6 Polygons

Activity: Tessellations

pp. 133 – 135

(Gr. 7) 10

Multiple Choice

Gridded

Friday

02/24/12

Cont…10.6


pp. 133 – 135

54



PACING GUIDE



55

DATE

LESSON PLAN

ALABAMA

COURSE OF STUDY

Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

02/27/12


Grade Lesson

Plans ACOS #9: solve problems involving

circumference and area of circles.

10.7 Circumference and Area:

Circles

Activity: Circles and Slope

pp. 136 - 138


“Finding Pi”

(Gr. 7) 9

Multiple Choice

Gridded

Chapter 10

Resource Masters

Teacher’s Edition

p. 490B


Tuesday

02/28/12

Cont…10.7

Wednesday

02/29/12

Cont…10.7

Thursday

03/01/12

Cont…10.7

Friday

03/02/12

Assessment: Circles and Area

55



PACING GUIDE



56

DATE

LESSON PLAN


Grades 7 and 8

ARMT

OTHER

RESOURCES

Monday

03/05/12

Review Specific Objectives Targeted

in Grade 7: System-wide Analysis

and School Analysis. Check-off as

reviewed.

Use Handout: Draft

ACOS Objective #12

Section 5.8

Measures of

Central

Tendency

Tuesday

03/06/12

12.7 Permutations and

Combinations

12.8 Odds

12.9 Compound Probability

Wednesday

03/07/12

Sections 3.3 – 3.5 & 7.1

Solving equations by addition,

subtraction, multiplication or division

Thursday

03/08/12

Solving and writing two-step

equations

7.1 Solving equations with variables

on each side

Friday

03/09/12

Sections 4.5 – 4..8

Simplifying Algebraic expressions

Chapter 5:

Review Rational

Numbers

Cont … Rational

Numbers

Cont … Rational Numbers

56



PACING GUIDE



57

DATE

LESSON PLAN


Grades 7 and 8

Review

Topics

Other

Resources

Monday

03/12/12

Multiplying and Dividing monomials

Simplifying Negative exponents and

Scientific Notation

Tuesday

03/13/12

Chapter 5:

Review Rational Numbers

Wednesday

03/14/12

Cont … Rational Numbers

Thursday

03/15/12

Proportional Reasoning

Emphasize verbal models using and

applying Proportional reasoning

Friday

03/16/12

Review for ARMT

March 19 - 23

(Spring Break)

57



PACING GUIDE



58

DATE

LESSON PLAN

ALABAMA COURSE


ARMT

OTHER RESOURCES

Monday

03/26/12

10.8 Areas: Irregular Figures

Activity: How Big is Your Foot?

pp. 139-140

Study Guide

(Gr. 8) 10

Chapter 10

Resource Masters

Teacher’s Edition

p. 490B

.

Tuesday

03/27/12

**Report Cards Go Home


pp. 544 - 548

Lab 5 pp. 19-24


(Gr. 7) 7, 8, 10

(Gr. 8) 8, 9 10

.

Wednesday

03/28/12

Review Chapter 10

Sections 10.2 – 10.8

.

Thursday

03/29/12

Review for ARMT

Use math games and various

manipulatives to review skills.

Friday

03/30/12

Review for ARMT

Use math games and various

manipulatives to review skills.

58



PACING GUIDE



59

DATE

LESSON PLAN

ALABAMA COURSE


ARMT

OTHER RESOURCES

Monday

04/02/12

Review for ARMT

Tuesday

04/03/12

Review for ARMT

Wednesday

04/04/12

Review for ARMT

Thursday

04/05/12

Review for ARMT

Friday

04/06/12

Review for ARMT

59



PACING GUIDE



60

DATE

LESSON PLAN

ALABAMA COURSE


ARMT

OTHER RESOURCES

Monday

04/09/12

ARMT Testing Period

April 9 – 20, 2012

Tuesday

04/10/12

ARMT Testing Period

Wednesday

04/11/12

ARMT Testing Period

Thursday

04/12/12

ARMT Testing Period

Define the x- and y-intercepts

8.3 Graphing Linear Equations

Using Intercepts

Lab 4: Graphing Relationships

pp. 13 - 18

(Gr. 8) 4,5

Chapter 8

Resource Masters

Teacher’s Edition

p. 326B

Friday

04/13/12

ARMT Testing Period

Cont … 8.3

60



PACING GUIDE



61

DATE

LESSON PLAN

ALABAMA COURSE


ARMT

OTHER RESOURCES

Monday

04/16/12

ARMT Testing Period

8.4 Slope

Activity: Graphing and Slope

pp. 106 - 107

(Gr. 7) 4

(Gr. 8) 4

Chapter 8

Resource Masters

Teacher’s Edition

p. 326B

Tuesday

04/17/12

ARMT Testing Period

Cont …. 8.4

Wednesday

04/18/12

ARMT Testing Period

8.5 Rate of Change

(Gr. 7) 4

(Gr. 8) 4

Chapter 8

Resource Masters

Teacher’s Edition

p. 326B

Thursday

04/19/12

ARMT Testing Period

Cont …. 8.5

(Gr. 7) 4

(Gr. 8) 13

Chapter 8

Resource Masters

Teacher’s Edition

p. 326B

Friday

04/20/12

Spring Holiday


61



PACING GUIDE



62

DATE

LESSON PLAN

ALABAMA COURSE


ARMT

OTHER RESOURCES

Monday

04/23/12

Spring Holiday

Tuesday

04/24/12

8.6 Slope - Intercept Form

(Gr. 7) 4

(Gr. 8) 4, 5

Chapter 8

Resource Masters

Teacher’s Edition

p. 326B

Wednesday

04/25/12

8.7 Writing Linear Equations

Activity: Constant Rate of Change

p. 109

(Gr. 7) 5

(Gr. 8) 5

Thursday

04/26/12

8.8 Best Fit Lines

Real World Applications p.8

(Gr. 7) 4

(Gr. 8) 13

Friday

04/27/12

8.9 Solving Systems of Equations

Graphing Using Intercepts and a

T-Chart

(Gr. 8) 5

Chapter 8

Resource Masters

Teacher’s Edition

p. 366B

62



PACING GUIDE



63

DATE

LESSON PLAN

ALABAMA COURSE


ARMT

OTHER RESOURCES

Monday

04/30/12

Cont…. 8,9

Tuesday

05/01/12

8.10 Graphing Inequalities

Study Guide

(Gr. 7) 6

Wednesday

05/02/12

Chapter 8 Review and Study

Guide pp. 424 - 428

(Gr.7 ) 4, 5, 6

(Gr. 8) 4, 5, 13

Thursday

05/03/12


Friday

05/04/12

9.5 The Pythagorean Theorem

Real World Applications p.9

Activity: The Pythagorean

Theorem pp. 115 - 117

(Gr. 8) 7

63



PACING GUIDE



64

DATE

LESSON PLAN

ALABAMA COURSE OF


ARMT

OTHER RESOURCES

Monday

05/07/12

Second Semester CRT Probes

May 7 – 14, 2012

Cont…. 9.5

Tuesday

05/08/12


May 7 – 14, 2012

9.6 The Distance and Midpoint

Formulas

Activity: Using the Pythagorean

Theorem p.118


“Pythagorean Theorem

Investigations”

Activity: Using the

Pythagorean Theorem

p. 118



Investigation”

AB Lab 11.4,

Wednesday

05/09/12


May 7 – 14, 2012

Assessment: 9.5 and 9.6

Thursday

05/10/12


May 7 – 14, 2012

12.3 Box-and-Whisker Plot

(Gr. 8) 13

Chapter 12

Resource Masters


Friday

05/11/12


May 7 – 14, 2012

Cont … 12.3

64



PACING GUIDE



65

DATE

LESSON PLAN

ALABAMA COURSE OF


ARMT

OTHER RESOURCES

Monday

05/14/12


May 7 – 14, 2012

9.6 The Distance and Midpoint

Formulas

Activity: Using the Pythagorean

Theorem p. 118



Investigation”

(Gr. 8) 7

Tuesday

05/15/12

11.2 Volumes: Prisms and

Cylinders

Activity: Volume p. 144

Cont… 11.2

11.3 Volume: Pyramids and

Cones

(Gr. 8) 11

05/16/12

11.4 Surface Area: Prisms and

Cylinders

(Gr. 8) 11

Chapter 11 Resource

Masters

Teacher’s Edition p. 552 B

Thursday

05/17/12

11.5 Surface Area: Pyramids and

Cones

Activity: Volume pp. 145 - 147

Chapter 11 Resource

Masters

Teacher’s Edition p. 552 B

Friday

05/18/12

11.6 Similar Solids

Activity: Similar Solids p. 146

Chapter 11 Resource

Masters

Teacher’s Edition

p. 552 B



PACING GUIDE



66

DATE

LESSON PLAN

ALABAMA COURSE


ARMT

OTHER RESOURCES

Monday

05/21/12

Cont … 11.6

Study Guide for 11.2 – 11.6

Tuesday

05/22/12

Assessment: 11.2 – 11.6

Wednesday

05/23/12

Review of 2012 CRT Probes

Thursday

05/24/12

Review for Teacher Developed Second

Semester Development

Friday

05/25/12

Teacher Developed Second Semester

Assessment

66



PACING GUIDE



67

DATE

LESSON PLAN

ALABAMA COURSE


ARMT

OTHER RESOURCES

Monday

05/28/12

Memorial Day


Tuesday

05/29/12

Make-Up Exam

Wednesday

05/30/12

Last Day for Students

** Report Cards Go Home

Thursday

05/31/12

Teacher Work Day

Friday

06/01/12


(Inclement Weather Days)

67

68


Pre-Algebra First Semester Objectives

First Semester Assessment (CRT) will be administered using ThinkLink Probes

December 5 – 12, 2011



solving strategies.


Demonstrate a knowledge of all vocabulary

Apply number theory

Identify prime and composite numbers

Factor Natural Numbers

Find and use the LCM and the GCF to solve problems

Use the Real Number System and its’ properties

Apply rules for operations with Real Numbers

Model Real Numbers on the number line, write opposites, absolute values, and

reciprocals

Apply the rule for simplifying and evaluating expressions using Order of Operations

Solve simple equations: two-step and multi-step using addition, subtraction,

multiplication, division, and the Distributive Property

Translate verbal phrases into algebraic expressions and vice versa

Express a pattern in a table, graph, or chart as an algebraic expression

Simplify algebraic expressions containing exponents (positive, negative, and zero)

Add, subtract, multiply, and divide rational numbers

Solve equations containing rational numbers

Write ratios, rates, and solve proportions; determine percent of increase or

decrease, and solve percent equations

Write and use fraction, decimal, and percent equivalence

Determine measures of central tendency: mean, median, mode, and range

Use box-and-whisker plots, stem-and leaf plots, and histograms to organize and

interpret data

Use probability, permutations, and combinations in problem solving

Understand and use the Coordinate Plane

Use scale drawings and maps in problem solving


Pre -Algebra – Grade 7

PACING GUIDE

Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real


69

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

08/08/11

In-House Professional

Development Day

(No Students)

Tuesday

08/09/11

Teacher Work Day

(No Students)

Wednesday

08/10/11

First Semester Begins

First Day for Students

Discuss: course description,

expectations (classroom rules and

grading), materials and supplies

(pencils, loose-leaf paper, graph

paper, folders, etc), and notebook

organization

Thursday

08/11/11

ARMT Item Specifications for

Mathematics Grade 7

pp. 5-13

(Gr.7) 1, 2, 3

Multiple Choice

Gridded

Friday

08/12/11

Chapter 1: The Tools of Algebra

1.1 Using Problem-Solving Plan

(Gr.7) 3

Multiple Choice

Chapter 1

Resource Masters


AIMS pp. 8 - 33

69



PACING GUIDE



70

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

08/15/11

1.2 Numbers and Expressions

1.3 Variables and Expressions

(Gr.7) 3, 5

(Gr. 8) 3,4

Multiple Choice

Gridded

Chapter 1

Resource Masters


AB Labs 1.1 – 1.4

Tuesday

08/16/11

1.4 Properties

(Gr.7) 2

(Gr.8) 3

Resource Masters

Teacher’s Edition

p. 4B

Wednesday

08/17/11

Quiz/ Vocabulary quiz

1.5 Variables and Equations

Lab 1

(Gr.7) 2, 5

(Gr.8) 4, 5

Resource Masters

Teacher’s Edition

p. 4B

Thursday

08/18/11

1.6 Ordered Pairs and Relations

(Gr.7) 4

Resource Masters

Teacher’s Edition

p. 4B

AIMS pp. 12-22

Friday

08/19/11

1.7 Scatter Plots

Activity: Scatter Plots p. 39


(Gr.7) 4

(Gr. 8) 13

70



PACING GUIDE

Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the

Foundation, and Real World Applications Revised June 2011

71

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

08/22/11


Practice pp. 52-53 TWE

(Gr.7) 2, 3, 4, 5

(Gr.8) 3, 4, 13

Tuesday

08/23/11


Wednesday

08/24/11


Grade

Lesson Plans ACOS Objective #

12: Determine measures of central

tendency.

5.8 Measures of Central

Tendency

Activity: Mean, Mode, and

Median pp. 71-72


(Gr.7) 12

(Gr.8) 13

Multiple Choice

Gridded

Open-ended

Chapter 5

Resource Masters

Teacher’s Edition

p. 198B

Thursday

08/25/11

Cont…5.8 Measures of Central

Tendency

Activity: Mean Deviation

p. 73

(Gr.7) 12

(Gr.8) 13

Multiple Choice

Gridded

Open-ended

Friday

08/26/11

Review Prerequisite Skills p.

605

Chapter 12: More Statistics

and Probability

12.1 Stem-and-Leaf Plots

12.2 Measures of Variation

(Gr.7) 12

(Gr.8) 13

Chapter 12

Resource Masters

Teacher’s Edition

p. 604B

71



PACING GUIDE



72

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

08/29/11

12.4 Histograms

(Gr.8) 13

Chapter 12

Resource Masters

Teacher’s Edition

p. 604B

Tuesday

08/30/11

12.5 Misleading Statistics

12.6 Counting Outcomes

(Gr.7) 13

(Gr.8) 13

Wednesday

08/31/11

12.7 Permutations and

Combinations

12.8 Odds

(Gr.7) 13

(Gr.8) 14

Multiple Choice

Gridded

Open-ended

Thursday

09/01/11

Cont … 12.7 and 12.8

Friday

09/02/11

Professional Development

Day

7th

Grade

ARMT Training for at least First

and Second Year Teachers

The Lincoln Center

8:00 a.m. - 11:00 a.m.

72



PACING GUIDE



73

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

09/05/11

Labor Day


Tuesday

09/06/11


Grade

Lesson Plans ACOS Objective # 13:

Determine the probability of a

compound event.

12.9 Probability of

Compound Events

(Gr.7) 13

(Gr.8) 14

Multiple Choice

Gridded

Open-ended

Wednesday

09/07/11

Cont … 12.9

Review Measures of Central

Tendency

Thursday

09/08/11

Assessment: 12.1, 12.2, and

12. 4 - 12.

Include Measures of Central

Tendency: 5.8

Friday

09/09/11

Chapter 2: Integers


2.1 Integers and Absolute

Values


(Gr.7) 2

(Gr.8) 1,3

Multiple Choice

Gridded

Open-ended

Chapter 2

Resource Masters

Teacher’s Edition

p. 54B

73



PACING GUIDE



74

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

09/12/11

Cont … 2.1


Tuesday

09/13/11

Cont…2.1 Integers and

Absolute Values


(Gr.7) 2

(Gr.8) 1,3

Multiple Choice

Gridded

Wednesday

09/14/11

Cont…2.1 Integers and

Absolute Values


(Gr.7) 2

(Gr.8) 1,3

Multiple Choice

Gridded

Thursday

09/15/11

* Progress Reports Go Home

2.2 Adding Integers

Activity: Adding Integers pp. 38 – 40

(Gr.7) 1,2

Multiple Choice

Gridded

Chapter 2

Resource Masters

Teacher’s Edition

p. 54B

Friday

09/16/11

2.4 Multiplying Integers

2.5 Dividing Integers

(Gr.7) 1, 2

(Gr. 8) 3

Multiple Choice

Gridded

Chapter 2

Resource Masters

Teacher’s Edition

p. 54B AB Labs 5.2 – 5.5

74



PACING GUIDE



75

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

09/19/11

Cont…2.4 Multiplying Integers

Cont…2.5 Dividing Integers

Activity: Multiplying Integers pp. 42 – 43

(Gr.7) 1, 2

(Gr.8) 3

Multiple Choice

Gridded

Tuesday

09/20/11

Assessment: Addition,

Multiplication and Division of

Integers

Wednesday

09/21/11

2.3 Subtracting Integers

(Model, Develop the Rules, …)

Spring Board Activity: The

Integer Games

(Gr.7) 1, 2, 4

Multiple Choice

Gridded

Chapter 2

Resource Masters

Teacher’s Edition

p. 54B

SpringBoard Book or Handouts

Thursday

09/22/11

Cont … 2.3

Cont … SpringBoard Activity

Friday

09/23/11

Vocabulary quiz (Very

Important)

2.6 The Coordinate System


Practice

(Gr.7) 1, 2, 4

(Gr.8) 1, 3, 4

Multiple Choice

Chapter 2

Resource Masters

Teacher’s Edition

p. 54B

75



PACING GUIDE



76

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

09/26/10


“Sketch My Graph”


Tuesday

09/27/11


Wednesday

09/28/11

Chapter 3: Equations


3.1 The Distributive Property

Activity: Distributive Property

pp. 47 – 48

(Gr.7) 6

Chapter 3

Resource Masters

Teacher’s Edition

p. 96B

Thursday

09/29/11

3.2 Simplifying Algebraic

Expressions

(Gr.7) 5

(Gr.8) 3

Multiple Choice

Chapter 3

Resource Masters

Teacher’s Edition

p. 96B

Friday

09/30/11

3.3 Solving Equations by

Adding or Subtracting

(Gr.7) 6

Multiple Choice

Chapter 3

Resource Masters

Teacher’s Edition

p. 96B

AB Labs 10.2, 10.4 – 10.5

76

+



PACING GUIDE



77

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

10/03/11

Cont…3.3 Solving Equations


Algebra Tiles pp. 49 – 51

ARMT Probes

October 3 – 7, 2011

(Gr.7) 6

Multiple Choice

Tuesday

10/04/11

Equations 3.4 Solving by


Real World Application p 3

(Gr.7) 6

Multiple Choice

Chapter 3

Resource Masters

Teacher’s Edition

p. 96B

Wednesday

10/05/11

ARMT Practice # 1

(15 minutes)

3.5 Solving Two-Step Equations

Lab 9 pp. 37 – 40

(Gr.7) 6

(Gr.8) 6

Multiple Choice

Chapter 3

Resource Masters

Teacher’s Edition

p. 96B

Thursday

10/06/11

Cont…3.5 Solving Two-Step

Equations

Activity: Two-Step Equations

pp. 52 – 54

(Gr.7) 6

(Gr.8) 6

Multiple Choice

Friday

10/07/11

3.6 Writing Two-Step Equations

(Gr.7) 5,6

(Gr.8) 4 , 6

Multiple Choice

Chapter 3

Resource Masters

Teacher’s Edition

p. 96B

77



PACING GUIDE



78

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

10/10/11

Cont…3.6 Writing Two-Step

Equations

Activity: Discovering Patterns

in Mathematics p. 55

(Gr.7) 5, 6

Multiple Choice

Tuesday

10/11/11

3.7 Using Formulas

Study Guide

(Gr.7) 9, 10

(Gr.8) 4, 10

Chapter 3

Resource Masters


Wednesday

10/12/11

Cont… 3.7

Thursday

10/13/11

SpringBoard Activity

Melody’s Music Solution

Gr.7) 2, 4, 6

(Gr.8) 13

SpringBoard

Hand-outs or Book if available

Friday

10/14/11


78



PACING GUIDE



79

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

10/17/11

Activity: Finding Factors


(homework)

4.1 Factors and Monomials

(Gr.8) 1

Chapter 4

Resource Masters

Teacher’s Edition

p. 146B

Tuesday

10/18/11

4.2 Powers and Exponents

(Gr.7) 2

(Gr.8) 3

Chapter 4

Resource Masters

Teacher’s Edition

p. 146B

Wednesday

10/19/11

4.3 Prime Factorization

Activity: Prime Numbers p. 61


(Early Dismissal for Students)

(Gr.8) 1

Chapter 4

Resource Masters

Teacher’s Edition

p. 146B

Thursday

10/20/11

4.4 Greatest Common Factors

(GCF)

(Gr.8) 1

Chapter 4

Resource Masters

Teacher’s Edition

p. 146B

Friday

10/21/11

Assessment: Mid-Chapter Test

(Gr.7) 2

(Gr.8) 1, 3

79



PACING GUIDE



80

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

10/24/11

4.5 Simplifying Algebraic

Fractions

(Gr.7) 5,6

(Gr.8) 1

Multiple Choice

Chapter 4

Resource Masters

Teacher’s Edition

p. 146B

Tuesday

10/25/11

Cont…4.5 Simplifying Algebraic

Fractions

(Gr.7) 5,6

(Gr.8) 1

Multiple Choice

AB Labs 2.1 – 2.5, 3.1 – 3.5

Wednesday

10/26/11

4.6 Multiplying and Dividing

Monomials

Activity: Equivalent Fraction

pp. 62-63

(Gr.8) 2

Multiple Choice

Chapter 4

Resource Masters

Teacher’s Edition

p. 146B

Thursday

10/27/11

Cont… 4.6 Multiplying and

Dividing Monomials

(Gr.8) 2

Multiple Choice

Friday

10/28/11

Fall Break


80



PACING GUIDE



81

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

10/31/11

4.7 Negative Exponents

(Gr.7) 2

Multiple Choice

Chapter 4

Resource Masters

Teacher’s Edition

p. 146B

Tuesday

11/01/11

4.8 Scientific Notation

Activity: Operations with

Scientific Notation p. 64

Study Guide

ARMT Probes

November 1 – 7, 2011

(Gr.7) 2

Multiple Choice

Chapter 4

Resource Masters

Teacher’s Edition

p. 146B

Wednesday

11/02/11

ARMT Practice #2

(15 minutes)


A Fairly Ordered Operation

(Gr.7) 1, 2

SpringBoard Workbook

Thursday

11/03/11


Friday

11/04/11

Chapter 5: Rational Numbers


5.1 Writing Fractions as Decimals

(Gr. 7) 3

(Gr. 8) 1

Multiple Choice

Chapter 5

Resource Masters

Teacher’s Edition

p. 198B

81



PACING GUIDE



82

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

11/07/11

5.2 Rational Numbers

Activity: Fractions p. 69

(Gr. 7) 3

(Gr. 8) 1,10

Multiple Choice

Chapter 5

Resource Masters

Teacher’s Edition

p. 198B

Tuesday

11/08/11

5.3 Multiplying Rational

Numbers

Lab 3: Plant Growth pp. 9 – 12

(Gr. 7) 3

(Gr. 8) 1

Multiple Choice

Chapter 5

Resource Masters

Teacher’s Edition

p. 198B

Wednesday

11/09/11

5.4 Dividing Rational Numbers

(Gr. 7) 3

(Gr. 8) 1

Multiple Choice

Chapter 5

Resource Masters

Teacher’s Edition

p. 198B

Thursday

11/10/11

Assessment: Quiz 5.1 – 5.4

5.5 Adding and Subtracting Like

Fractions

(Gr. 7) 2

(Gr. 8) 1

Multiple Choice

Chapter 5

Resource Masters

Teacher’s Edition

p. 198B

Friday

11/11/11

Veteran’s Day


82



PACING GUIDE



83

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

11/14/11

5.6 Least Common Multiple

Activity: Juniper Green p. 70

(Gr. 8) 1

Chapter 5

Resource Masters

Teacher’s Edition

p. 198B

Tuesday

11/15/11

Cont…5.6

(Gr. 8) 1

Wednesday

11/16/11

*Progress Reports Go Home


(Gr. 7) 2, 3

(Gr. 8) 1, 10

Thursday

11/17/11

5.7 Adding and Subtracting

Unlike Fractions

(Gr. 7) 2

(Gr. 8) 1

Multiple Choice

Chapter 5

Resource Masters

Teacher’s Edition

p. 198B

Friday

11/18/11


Rational Numbers

(Gr. 7) 3

(Gr. 8) 10

Multiple Choice

Chapter 5

Resource Masters

Teacher’s Edition

p. 198B

83



PACING GUIDE



84

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

11/21/11


pp. 254 - 259

(Gr. 7) 2, 3

(Gr. 8) 1, 10

Tuesday

11/22/11


Wednesday

11/23/11



Thursday

11/24/11



Friday

11/25/11



84



PACING GUIDE



85

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

11/28/11

Chapter 6: Ratio, Proportion, and

Percent


Grade Lesson

Plans ACOS Objective # 11: Solve

problems using proportional reasoning.


6.1 Ratios and Rates

(Gr. 7) 3, 11

(Gr. 8) 1

Multiple Choice

Chapter 6

Resource Masters

Teacher’s Edition

p. 262B

AIMS pp. 43-51

Tuesday

11/29/11

6.2 Using Proportions

Activity: Capture-Recapture

pp. 84-86

(Gr. 7) 3, 11

(Gr. 8) 1

Multiple Choice

Chapter 6

Resource Masters

Teacher’s Edition

p. 262B

Wednesday

11/30/11

Cont…6.2 Using Proportions

Lab 18: Physical Factors of Soil

pp. 81 – 84

(Gr. 7) 3,11

(Gr. 8) 1

Multiple Choice

Thursday

12/01/11

6.3 Scale Drawing and Models

(Gr. 7) 8

(Gr. 8) 1

Chapter 6

Resource Masters

Teacher’s Edition

p. 262B

Friday

12/02/11

6.4 Fractions, Decimals, and

Percents

(Gr. 7) 2

(Gr. 8) 1

Chapter 6

Resource Masters

Teacher’s Edition

p. 262B

85



PACING GUIDE



86

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

12/05/11

First Semester CRT Probes

December 5 – 12, 2011

Quiz: Sections 6.1 – 6.4

Tuesday

12/06/11


December 5 – 12, 2011

6.5 Using the Percent Proportion

(Gr. 7) 3, 11

(Gr. 8) 1

Multiple Choice

Chapter 6

Resource Masters

Teacher’s Edition

p. 262B

Wednesday

12/07/11


December 5 – 12, 2011

Cont … 6.5

Activity: Percents, Decimals,

Fractions, and Circle Graphs

pp. 87 - 89

Thursday

12/08/11


December 5 – 12, 2011

6.8 Percent of Change


(Gr. 7) 3, 11

Chapter 6

Resource Masters

Teacher’s Edition

p. 262B

Friday

12/09/11


December 5 – 12, 2011

6.9 Probability and Predictions

Activity: Taking a Survey p. 94

(Gr. 7) 13

(Gr. 8) 14

Chapter 6

Resource Masters

Teacher’s Edition

p. 262B

86



PACING GUIDE



87

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

12/12/11


December 5 – 12, 2011

Review for First Semester

Teacher Developed Assessment

Tuesday

12/13/11

Teacher Developed First

Semester Assessment

Wednesday

12/14/11

Make-Up

Review of CRT Probes

Thursday

12/15/11

End of First Semester

Last Day for Students and

Teachers

Friday

12/16/11

December 16 - January 3

(Students’ Christmas Holidays)

87



PACING GUIDE



88

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

Tuesday

Wednesday

Thursday

Friday

88

89


Pre-Algebra Second Semester Objectives

Second Semester Assessment (CRT) will be administered using ThinkLink Probes

May 7 – 14, 2012



solving strategies.


Demonstrate proficiency in the use of First Semester Vocabulary and develop a

thorough knowledge of Second Semester Vocabulary

*Compute using integer operations, solve basic equations, apply order of operations,

evaluate and simplify algebraic expressions containing whole numbers, decimals, and

fractions

Solve equations including variables on each side and grouping symbols

Solve and graph simple inequalities using addition, subtraction, multiplication, and

division

Use functions to describe relationships between two quantities and determine

whether relations are functions

Explore similarity and congruence in polygons; solve problems involving similar

figures; and use indirect measurement

Use angle and side relationships to solve problems

Explore square roots and solve equations whose solutions are square roots

Use the Pythagorean Theorem in solving problems

Find the distance and/or midpoint of line segments given two points

Compute area and perimeter of triangles, parallelograms, and trapezoids

Use area and perimeter in solving real-life problems

Compute volume and surface area of prisms, cylinders, pyramids, and cones

Compute the circumference and area of a circle

Recognize geometric relationships among two and three dimensional objects

Identify transformations; reflections, rotations, and translations

Determine the slope and y-intercept of a line

Write the equation of a line given the slope and y-intercept; a graph; a table; or two

points



PACING GUIDE



90

DATE

LESSON PLAN

ALABAMA COURSE

OF STUDY

Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

01/02/12

Schools and District Offices Closed

Tuesday

01/03/12

In-House


(No Students)

Wednesday

01/04/12

(Second Semester Begins)

Chapter 7: Equations and

Inequalities




(Gr. 7) 6

(Gr. 8) 6

Multiple Choice

Chapter 7

Resource Masters

Teacher’s Edition

p. 326B

AB Lab 10.6 – 10.8, 10.10

Thursday

01/05/12





pp.97 – 100

(Gr. 7) 6

(Gr. 8) 6

Multiple Choice

Friday

01/06/12




**Cooking with Andre

(Gr. 7) 6

(Gr. 8) 6

Multiple Choice

SpringBoard

Hand-outs or Book if

available

90



PACING GUIDE



91

DATE

LESSON PLAN

ALABAMA COURSE

OF STUDY

Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

01/09/12

Cont… SpringBoard Activity

**Cooking with Andre

Tuesday

01/10/12

7.2 Solving Equations with Grouping

Symbols

(Gr. 7) 6

(Gr. 8) 6

Multiple Choice

Wednesday

01/11/12

7.3 Inequalities


(Gr. 7) 6

(Gr. 8) 6

Chapter 7 Resource Masters

Teacher’s Edition

p.326 B

Thursday

01/12/12


Cont … 7.3

Friday

01/13/12

7.4 Solving Inequalities by Adding or

Subtracting

Activity: Inequalities and the

Number Line p. 101


(Gr. 7) 6

Multiple Choice

Chapter 7

Resource Masters

Teacher’s Edition

p. 326B

91



PACING GUIDE



92

DATE

LESSON PLAN

ALABAMA COURSE

OF STUDY

Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

01/16/12

Dr. Martin Luther King, Jr. Day


Tuesday

01/17/12

7.5 Solving Inequalities by


(Gr. 7) 6

Multiple Choice

Chapter 7

Resource Masters

Teacher’s Edition

p. 326B

Wednesday

01/18/12

ARMT Practice #3

(15 minutes)

Cont…7.5 Solving Inequalities by


(Gr. 7) 6

Multiple Choice

Thursday

01/19/12

7.6 Solving Multi-Step Inequalities

(Gr. 7) 6

Multiple Choice

Chapter 7

Resource Masters

Teacher’s Edition

p. 326B

Friday

01/20/12

Cont…7.6 Solving Multi-Step

Inequalities

(Gr. 7) 6

Multiple Choice

92



PACING GUIDE



93

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

01/23/12

Study Guide and Chapter Review

pp. 360 – 362

Tuesday

01/24/12

Assessment : Chapter 7

8.4 Functions

(Gr. 7) 4

(Gr. 8) 5

Multiple Choice

Chapter 8

Resource Masters

Teacher’s Edition

p. 326B

Wednesday

01/25/12

8.2 Linear Functions in Two Variables

(Gr. 7) 4

(Gr. 8) 4,5,10

Multiple Choice

Chapter 8

Resource Masters

Teacher’s Edition

p. 326B

Thursday

01/26/12

Cont … 8.2

Friday

01/27/12


93



PACING GUIDE



94

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

01/30/12

Chapter 9: Real Numbers and

Right Triangles


9.1 Squares and Square Roots

(Gr. 7) 10

Multiple Choice

Gridded

Chapter 9

Resource Masters

Teacher’s Edition

p. 366B

Tuesday

01/31/12

9.3 Angles

(Gr. 8) 9

Chapter 9

Resource Masters

Teacher’s Edition

p. 366B

Wednesday

02/01/12

9.4 Triangles

(Gr. 8) 8

Chapter 9

Resource Masters

Teacher’s Edition

p. 366B

Thursday

02/02/12

Cont…9.4 Triangles

Friday

02/03/12 9.7 Similar Triangles and Indirect

Measurements

Activity: Similar Triangles and

Indirect Measurement p. 119

(Gr.7) 8

(Gr. 8) 1,8,12

Multiple Choice

Open - Ended

Chapter 9

Resource Masters

Teacher’s Edition

p. 366B

94



PACING GUIDE



95

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

02/06/12

Cont…9.7 Similar Triangles and

Indirect Measurements

Tuesday

02/07/12

Chapter 10:Two Dimensional

Figures


Grade Lesson

Plans ACOS Objective # 8: Recognize

geometric relationships among two-

dimensional and three-dimensional

objects.


10.1 Line and Angle Relationships

Activity: Constructions p. 126

(Gr.7) 8

(Gr. 8) 9

Multiple Choice

Open - Ended

Chapter 10

Resource Masters

Teacher’s Edition

p. 490B

Wednesday

02/08/12

Cont…Handout

Thursday

02/09/12

Cont…Handout

Friday

02/10/12

*Progress Reports Go Home

Cont… 10.1

95



PACING GUIDE



96

DATE

LESSON PLAN

ALABAMA

COURSE OF

STUDY Grades 7 and

8

ARMT

OTHER RESOURCES

Monday

02/13/12

10.2 Congruent Triangles

Activity: Exploring Congruence

p. 127

q.

(Gr. 8) 8

Chapter 10

Resource Masters

Teacher’s Edition

p. 490B

Tuesday

02/14/12

Chapter 11: Three –Dimensional Figures

Define Chapter Terms

11.1 Three-Dimensional Figures

Activity: Building Three-Dimensional Figures

p. 143

(Gr. 7) 8

Multiple Choice

Open-Ended

Chapter 11

Resource Masters

Teacher’s Edition

p.552B

AB Lab 11.4 – 11.5

Wednesday

02/15/12

Cont …11.1

Thursday

02/16/12

Cont …11.1

ARMT Probes February 16 – 24, 2012

(Gr. 7) 10

(Gr. 8) 10

Multiple Choice

Gridded

Friday

02/17/12

District-Wide


(No Students)

96



PACING GUIDE



97

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

02/20/12

Presidents’ Day

(Inclement Weather Day)


Tuesday

02/21/12


Grade


Determine the transformation(s) used

to alter the position of a polygon on

the coordinate plane.

10.3 Transformations on the

Coordinate Plane

(Gr.7) 7

Multiple Choice

Chapter 10

Resource Masters

Teacher’s Edition

p. 490B

Wednesday

02/22/12

ARMT Practice # 4

(15 minutes)

Cont … 10.3


pp. 128 – 129

Thursday

02/23/12

Cont … 10.3


pp. 128 - 129

Friday

02/24/12

10.4 Quadrilaterals

Spring Board Activity

The Sagging Gate

(Gr. 8) 8

SpringBoard

Hand-outs or Book if

available

97



PACING GUIDE



98

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

02/27/12

Cont…Spring Board Activity

The Sagging Gate

Tuesday

02/28/12


Grade


Find the perimeter of polygons and

the area of triangles and trapezoids.

10.5 Areas: Parallelograms,

Triangles, and Trapezoids

Perimeter of Polygons

(Gr. 7) 10

(Gr. 8) 10

Multiple Choice

Gridded

Chapter 10

Resource Masters

Teacher’s Edition

p. 490B

Wednesday

02/29/12

Cont…10.5

(Gr. 7) 10

(Gr. 8) 10

Multiple Choice

Gridded

Thursday

03/01/12

Cont…10.5

(Gr. 7) 10

(Gr. 8) 10

Multiple Choice

Gridded

Friday

03/02/12

Cont…10.5

(Gr. 7) 10

(Gr. 8) 10

Multiple Choice

Gridded

98



PACING GUIDE



99

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

03/05/12

10.6 Polygons


pp. 133 - 135

Tuesday

03/06/12

Cont…10.6


pp. 133 - 135

(Gr. 7) 10

Multiple Choice

Gridded

Wednesday

03/07/12


Grade Lesson

Plans ACOS # 9: Solve problems

involving circumference and area of

circles.

10.7 Circumference and Area: Circles

Activity: Circles and Slope

pp. 136-138

(Gr. 7) 9

Multiple Choice

Gridded

Chapter 10

Resource Masters

Teacher’s Edition

p. 490B

Thursday

03/08/12

Cont…10.7

Friday

03/09/12

Cont…10.7

(Gr. 7) 9

Multiple Choice

Gridded

Chapter 10

Resource Masters

Teacher’s Edition

p. 490B

99



PACING GUIDE



100

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

03/12/12

Cont…10.7

(Gr. 7) 9

Multiple Choice

Gridded

Chapter 10

Resource Masters

Teacher’s Edition

p. 490B

Tuesday

03/13/12

10.8 Areas: Irregular Figures

Activity: How Big is Your Foot?

pp. 139-140

Study Guide

(Gr. 8) 10

Chapter 10

Resource Masters

Teacher’s Edition

p. 490B

Wednesday

03/14/121


pp. 544 - 548

Lab 5: pp. 19-24

Real World Application p 10

(Gr. 7) 7, 8, 10

(Gr. 8) 8, 9, 10

Thursday

03/15/12


Take Home Packet to

include no more than 4

activities – include games,

puzzles …

Friday

03/16/12

Review for ARMT

March 19 - 23

(Spring Break)

Use math games and

various manipulatives to

review skills in periods not

testing.

100



PACING GUIDE



101

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

03/26/12

Review for ARMT

Use math games and


review skills.

Tuesday

03/27/12

Review for ARMT

Use math games and


review skills.

Wednesday

03/28/12

Review for ARMT

Use math games and


review skills.

Thursday

03/29/12

Review for ARMT


Use math games and


review skills.

Friday

03/30/12

Review for ARMT

8.3 Graphing Linear Equations Using

Intercepts

Lab 4: Graphing Relationships

pp. 13-18

(Gr. 8) 4,5

Chapter 8

Resource Masters

Teacher’s Edition

p. 326B

101



PACING GUIDE



102

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

04/02/12

Review for ARMT

Cont … 8.3

Tuesday

04/03/12

Review for ARMT

8.4 Slope


pp. 106-107

(Gr.7) 4

(Gr. 8) 4

Chapter 8

Resource Masters

Teacher’s Edition

p. 326B

Wednesday

04/04/12

Review for ARMT

Cont … 8.4 Slope


pp. 106-107

(Gr.7) 4

(Gr. 8) 4

Chapter 8

Resource Masters

Teacher’s Edition

p. 326B

Thursday

04/05/12

Review for ARMT

8.5 Rate of Change

(Gr. 7) 4

(Gr. 8) 4

Chapter 8

Resource Masters

Teacher’s Edition

p. 326B

Friday

04/06/12

Review for ARMT

102



PACING GUIDE



103

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

04/09/12

ARMT Testing Period

April 9 – 20, 2012

Cont…8.5

(Gr. 7) 4

(Gr. 8) 4,

Tuesday

04/10/12

ARMT


Wednesday

04/11/12

ARMT

8.6 Slope - Intercept Form

(Gr. 7) 4

(Gr. 8) 4,5

Chapter 8

Resource Masters

Teacher’s Edition

p. 326B

Thursday

04/12/12

ARMT

Cont…8.6

(Gr. 7) 4

(Gr. 8) 4,5

Friday

04/13/12

ARMT

Cont…8.6

103



PACING GUIDE



104

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

04/16/12

ARMT

8.7 Writing Linear Equations

Activity: Constant Rate of Change

p. 109

(Gr. 7) 5

(Gr. 8) 5

Chapter 8

Resource Masters

Teacher’s Edition

p. 326B

Tuesday

04/17/12

ARMT

Cont … 8.7

Wednesday

04/18/12

ARMT

8.8 Best Fit Lines


(Gr. 7) 4

(Gr. 8) 13

Chapter 8

Resource Masters

Teacher’s Edition

p. 326B

Thursday

04/19/12

ARMT

8.9 Solving Systems of Equations

(Gr. 8) 5

Chapter 8

Resource Masters

Teacher’s Edition

p. 326B

Friday

04/20/12

Spring Holiday



104



PACING GUIDE



105

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

04/23/12

Spring Holiday



Tuesday

04/24/12

Cont … 8.9

Wednesday

04/25/12

8.10 Graphing Inequalities

Study Guide

(Gr. 7) 6

Chapter 8

Resource Masters

Teacher’s Edition

p. 326B

Thursday

04/26/12

Chapter Review and Study Guide

pp. 424 – 428

(Gr. 7) 4, 5, 6

(Gr. 8) 4, 5, 13

Friday

04/27/12


105



PACING GUIDE



106

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

04/30/12

* Progress Reports Go Home

9.5 The Pythagorean Theorem


Activity: The Pythagorean Theorem

pp. 115-117

(Gr. 8) 7

Chapter 9

Resource Masters

Teacher’s Edition

p. 366B

Tuesday

05/01/12

Cont…9.5

(Gr. 8) 7

Wednesday

05/02/12

9.6 The Distance and Midpoint Formulas

Activity: Using the Pythagorean Theorem

p. 118


“Pythagorean Theorem Investigation”

(Gr. 8) 7

Chapter 9

Resource Masters

Teacher’s Edition

p. 366B


Thursday

05/03/12

Cont … 9.6

Friday

05/04/12

Review for

Second Semester CRT

106



PACING GUIDE



107

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

05/07/12


May 7 – 14, 2012

Assessment: Quiz 9.5 and 9.6

Review for Pre - Algebra

Second Semester CRT Assessment

Tuesday

05/08/12

Pre - Algebra

Second Semester CRT Assessment

Wednesday

05/09/12


May 7 – 14, 2012

9.7 Similar Triangles and Indirect

Measurements

Activity: Similar Triangles and Indirect

Measurement p. 119

(Gr.7) 8

(Gr.8) 1, 8, 12

Chapter 9

Resource Masters

Teacher’s Edition

p. 366B

Thursday

05/10/12


May 7 – 14, 2012

Cont … 9.7

Friday

05/11/12


May 7 – 14, 2012

11.2 Volumes: Prisms and Cylinders

Activity: Volume p. 14

(Gr. 8) 11

AB Lab 11.4, 11.5

107



PACING GUIDE



108

DATE

LESSON PLAN

ALABAMA

COURSE OF


ARMT

OTHER RESOURCES

Monday

05/14/12


May 7 – 14, 2012

Cont … 11.2

11.3 Volume: Pyramids and Cones

(Gr.8) 11

Chapter 11

Resource Masters

Teacher’s Edition

p. 552B

Tuesday

05/15/12

Cont … 11.3

11.4 Surface Area: Prisms and Cylinders

(Gr. 8) 11

Wednesday

05/16/12


Cont … 11.4

11.5 Surface Areas: Pyramids and Cones

Activity: Volume pp.145 - 147

(Gr. 8) 11

Thursday

05/17/12

Cont … 11.5

Friday

05/18/12

11.6 Similar Solids

Activity: Similar Solids p. 146

(Gr. 8) 11, 12

108



PACING GUIDE



109

DATE

LESSON PLAN

ALABAMA

COURSE OF STUDY

Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

05/21/12

Cont … 11.6 Similar Solids


Squares and Cubes

SpringBoard Hand-outs of

Book if available

Tuesday

05/22/12

Cont… SpringBoard Activity

Squares and Cubes

Wednesday

05/23/12

Review of 2012 CRT Probes

Thursday

05/24/12

Review for Teacher Developed Second

Semester Assessment

Friday

05/25/12

Teacher Developed Second Semester

Assessment

109



PACING GUIDE



110

DATE

LESSON PLAN

ALABAMA COURSE

OF STUDY

Grades 7 and 8

ARMT

OTHER RESOURCES

Monday

05/28/12

Memorial Day


Tuesday

05/29/12

Make-Up Exam

Wednesday

05/30/12

Last Day for Students


Thursday

05/31/12

Teacher Work Day

(No Students)

Friday

06/1/12


110

111

Grade 7 SpringBoard Instructional Units

Title

Prerequisites

Conceptual

Components

Required Materials

Integer Games

(Grade 6 – page 81)

Operations with whole

numbers

Definition of an integer

Operations with integers

Ordering integers

Completing tables

Pattern recognition

Formulating rules for

operations with integers

For each group:

Deck of Integer Game

cards (two of each card

per deck)

About 60 positive and 60

negative markers

Two-colored chip

marked ADD on one side

and SUBTRACT on the

other side

Four-function calculator

A Fairly Ordered

Operation

Addition and

subtraction

Multiplication and

division

Evaluating Powers

Order of operations No special materials are

required for this Unit

Tick Tock Toothpick

Plotting points on a

coordinate plane

Pattern recognition

Data analysis

Multiple representations

of data (tables, words,

graphs, and equations)

Equivalent ratios

Linear models

Linear models to make

predictions

Toothpicks

Whiteboard or chart

paper

Melody’s Music

Solution

Concept of a variable

as a placeholder

Evaluation of

expressions

Basic graphing skills

Evaluate expressions

Find and analyze patterns

Guess solution and check

Solving equations by

various methods

Interpret graphs

Equivalent expressions

Whiteboard

Cooking with Andre

(Grade 6 – page 67)

Arithmetic operations

with whole numbers

Some concept of

scaling factor

Some concept of

dividing a whole into

equal parts

Some conceptual

meaning of fraction

Modeling the operation

of division by whole

numbers

Scaling factor

Modeling the operation

of division by fractions

Representation of scaling

by pictures and arithmetic

operations

Measuring cups

Measuring spoons

Rice (or some other

suitable particular matter

for measuring)

111

Title

Prerequisites

Conceptual

Components

Required Materials

The Sagging Gate Measuring lengths to

the nearest ¼ in. and

0.1cm

Measuring angles with

protractors

Terms: diagonals (of a

quadrilateral), pair,

parallelogram,

quadrilateral,

rectangle, right angle,

units

Definition and properties

of special quadrilaterals

Linear and angle

measurement

Geometry vocabulary

Ruler with ¼ in. and

0.1cm precision

Protractor with 5°

precision

Straight edge (if not a

part of the ruler)

One, Two, Three …Red

Light

Plotting points on a

coordinate grid

Operations with

integers

Evaluating functions

Reflection, rotation, and

translation

Functions in a coordinate

pair

Rigid transformations

versus non-rigid

transformations

Connecting

transformations

algebraically and

geometrically

Game boards

Game piece

Instruction cards

Score sheets

Squares and Cubes

Concepts of a

rectangle

Concept of a

rectangular solid

Counting squares in a

rectangular region

Counting cubes in a

rectangular region

Area and volume

Area of a square

Volume of a cube

Exponents

Square root and cube root

Exponents in calculations

Square tiles and cubes

(optional)

113

114

115

birmingham city schools -...

Documents