grade math... · web viewsolve word problems leading to equations of the form px+q = r and p(x + q)...

Math 7 CCSSCurriculum Map

CHAPTER : DAILY ACTIVITIES LESSON : PROBLEM OF THE DAYCo

mm

on

Core

Sta

te

Stan

dard

(s)

Varies daily

Stud

ents

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(s)

1. Explain reasoning

Inst

ruct

iona

l St

rate

gies

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earn

ing

Acti

viti

es

Students will solve the POD individually, then they will explain to one person what

they did to solve the problem. If there is a disagreement

they will construct an argument about why their

answer is correct, or determine why or if the other

persons method actually works.Co

nten

t Br

eakd

own

Mat

hem

atic

al

Prac

tice

Sta

ndar

d 1. Make Sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively3. Construct viable arguments and

critique the reasoning of others4. Model with mathematics

5. Use appropriate tools strategically6. Attend to precision

7. Look for and make use of structure.8. Look for and express regularity in

repeated reasoning.

Voca

bula

ry

For

mat

ive

Ass

essm

ent

State Test

Lite

racy

St

anda

rd

.

Time Frame: all yearCHAPTER : WEEKLY/MONTHLY ACTIVITIES LESSON : STAR 360

of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s

)Varies Daily

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Inst

ruct

iona

l St

rate

gies

/ L

earn

ing

Acti

viti

es

Students will take pretest then maneuver through the content based on ability. If they pass out of a section they will continue on. If

struggling, students will go back to a comfortable level.

Cont

ent

Brea

kdow

nM

athe

mat

ical

Pr

acti

ce S

tand

ard 1. Make Sense of problems and

persevere in solving them.2. Reason abstractly and quantitatively

3. Construct viable arguments and critique the reasoning of others4. Model with mathematics


7. Look for and make use of structure.Look for and express regularity in repeated reasoning.

Voca

bula

ry

For

mat

ive

Ass

essm

ent

Pre testPost Test/AIR

Lite

racy

St

anda

rd

.

Time Frame: All yearCHAPTER 1 : Algebraic Reasoning LESSON 1 : Numbers and Patterns

of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s

)NS #1: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

Stud

ents

’ Lea

rnin

g Ta

rget

(s) 2. Solve

Patterns3. Develop a

rule using proper vocabulary In

stru

ctio

nal

Stra

tegi

es /

Lea

rnin

g Ac

tivi

ties Students will look for patterns

in classroom then we will work in

Stations: Identifying and Extending Number PatternsIdentifying and Extending

Geometric PatternsUsing Tables to Identify and

Extend Patterns

Cont

ent

Brea

kdow

n

Identifying and Extending Number Patterns, Geometric Patterns and Using Tables to

Identify and Extend Patterns.

Mat

hem

atic

al

Prac

tice

Sta

ndar


9. Reason abstractly and quantitatively10.Construct viable arguments and

critique the reasoning of others11.Model with mathematics

12.Use appropriate tools strategically13.Attend to precision

14.Look for and make use of structure.15.Look for and express regularity in

repeated reasoning.Vo

cabu

lary

conjecture

For

mat

ive

Ass

essm

ent

Quiz 1.1-1.5 pg. 28 Cumulative Assessment at

end of Chapter

Lite

racy

St

anda

rd 4. Determine the meaning of symbols, key terms, and other domain-specific words and

phrases as they are used in a specific scientific or technical context relevant to

grades 6-8.

Time Frame:CHAPTER 1: Algebraic Reasoning LESSON 2 : Exponents

of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s

)NS #1: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Students will Understand and Use Exponents

Inst

ruct

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l Str

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Acti

viti

es

Stations: Evaluating Powers Expressing Whole Numbers as Powers, Earth Science

Application

Cont

ent

Brea

kdow

n

Students will recognize the base and the exponent, and be able to compute numbers

with exponents in them.

Mat

hem

atic

al

Prac

tice

Sta

ndar





7. Look for and make use of structure8. Look for and express regularity in

repeated reasoningVo

cabu

lary

Power exponent

base

For

mat

ive

Ass

essm

ent


end of Chapter

Lite

racy

St

anda



grades 6-8.

TIME FRAME: 1 DAYCHAPTER 1 : Algebraic Reasoning LESSON 3 : Scientific Notation

of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s

)NS #1: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Scientific Notation

Inst

ruct

iona

l St

rate

gies

/ L

earn

ing

Acti

viti

es Stations: Multiplying by Powers of Ten

Writing Numbers in Scientific Notation

Writing Numbers in Standard Form

Comparing Numbers in Scientific Notation

Lab: Scientific Notation with a Calculator

Cont

ent

Brea

kdo

wn

Multiplying by Powers of Ten Writing Numbers in Scientific Notation

Writing Numbers in Standard Form Comparing Numbers in Scientific Notation

Lab: Use Graphing Calculators

Mat

hem

atic

al

Prac

tice

Sta

ndar





7. Look for and make use of structureLook for and express regularity in repeated

reasoning Voca

bula

ry

Scientific notation

For

mat

ive

Ass

essm

ent


end of Chapter

Lite

racy

St

anda



grades 6-8.Time Frame: 1 Day

CHAPTER 1 : Algebraic Reasoning LESSON 4 : Order of operations

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)

NS #1: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.d. Apply properties of operations as strategies to add and subtract rational numbers.EE #1: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.EE #2: Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Students will understand order of operations

1. Write and use the distributive properties

2. Use distributive properties to simplify expressions

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es Lecture/ or give students answers and have them decide how they got the

answers given: Using Order of Operations, with and

without Grouping Symbols, Career Application

1.4 Lab Explore Order of Operations

Cont

ent

Brea

kd Using Order of Operations, with and without Grouping Symbols, Career

Application 1.4 Lab Explore Order of Operations

Mat

hem

atic

al

Prac

tice

Sta

ndar





7. Look for and make use of structureLook for and express regularity in repeated

reasoning

Voca

bula

ry Numerical expression order of operations

For

mat

ive

Ass

essm

ent


end of Chapter

Lite

racy

St

anda

rd 3. Follow precisely a multistep procedure when carrying out experiments, taking measurements or performing technical

tasks

Time Frame: 1 day of 157 Revised 4/29/2013


of 157 Revised 4/29/2013


CHAPTER 1: Algebraic Reasoning LESSON 5: Properties of NumbersCo

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on C

ore

Stat

e St

anda

rd(s

)NS #1: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. d. Apply properties of operations as strategies to add and subtract rational numbers.NS #2: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.c. Apply properties of operations as strategies to multiply and divide rational numbers.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Simplify arithmetic expressions using the number properties and the order of operations

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es Lecture: Identifying Properties of Addition and

Multiplication, Using Properties to Simplify Expressions, Using the Distributive Property to

Multiply MentallyAfter Quiz Work on Problem Solving on pg. 29 Use UPSC

to Solve

Cont

ent

Brea

kdow

n Identifying Properties of Addition and Multiplication, Using Properties to Simplify

Expressions, Using the Distributive Property to Multiply Mentally

Problem Solving on pg. 29 Use UPSC to Solve

Mat

hem

atic

al

Prac

tice

Sta

ndar

d 1Make Sense of problems and persevere in solving them.

2Reason abstractly and quantitatively3Construct viable arguments and critique the reasoning of others

4Model with mathematics5Use appropriate tools strategically

6Attend to precision7Look for and make use of structure8Look for and express regularity in

repeated reasoning

Voca

bula

ryCommutative Property Associative Property

Identity property and distributive

property Distributive

Property

For

mat

ive

Ass

essm

ent

Quiz 1.1-1.5 pg. 28 After Quiz complete Focus on

Problem Solving pg. 29 Explain to a friend the

method you chose and what clue in the problem told you

to multiply or divide. Cumulative

Assessment at end of Chapter

of 157 Revised 4/29/2013


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grades 6-8.

Time Frame: 1 day

of 157 Revised 4/29/2013


CHAPTER 1 : Algebraic Reasoning LESSON 6 : VARIABLES AND ALGEBRAIC EXPRESSIONSCo

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on C

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Stat

e St

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rd(s

) NS #3: Solve real-world and mathematical problems involving the four operations with rational numbers. EE #1: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.EE #2: Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Evaluate algebraic expressions

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es Smart Board: Evaluating Algebraic Expressions, Evaluating Algebraic

Expressions involving Order of Operation, Evaluating

Algebraic Expressions with Two Variables. Be specific on

how the expressions must look while solving them.

Cont

ent

Brea

kdow

n

Evaluating Algebraic Expressions, Evaluating Algebraic Expressions involving Order of Operation, Evaluating Algebraic

Expressions with Two Variables.

Mat

hem

atic

al

Prac

tice

Sta

ndar




6Attend to precision7Look for and make use of structure

8Look for and express regularity in repeated reasoning

Voca

bula

ry

variable algebraic

expression evaluate Constant

For

mat

ive

Ass

essm

ent

1.6-1.11 Quiz and Cumulative Assessment at end of Chapter

1

of 157 Revised 4/29/2013


Lite

racy

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anda


tasks..

Time Frame: 1 day

CHAPTER 1 Algebraic Reasoning LESSON 7: TRANSLATING WORDS INTO MATH

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s) NS #3: Solve real-world and mathematical

problems involving the four operations with rational numbers. EE #1: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.EE #2: Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)


Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Station Work: Translating Verbal Expressions into

Algebraic Expressions, Write each phrase as an algebraic expression, Translating Real-World Problems into Algebraic

Expressions

Cont

ent

Brea

kdow

n

Translating Verbal Expressions into Algebraic Expressions, Write each phrase as an algebraic expression, Translating Real-World Problems into Algebraic Expressions

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry variable algebraic

expression evaluate

For

mat

ive

Ass

essm

ent


1

Lite

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grades 6-8.

Time Frame: 1 dayCHAPTER 1 : Algebraic Reasoning LESSON 8: SIMPLIFYING ALGEBRAIC EXPRESSIONS

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s) NS #3: Solve real-world and mathematical

problems involving the four operations with rational numbers. EE #1: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.EE #2: Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)


Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Model on Smart Board: Indentifying Like Terms,

Simplifying Algebraic Expressions, Geometry

Application

Cont

ent

Brea

kd Indentifying Like Terms, Simplifying Algebraic Expressions, Geometry

Application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry term coefficient

For

mat

ive

Ass

essm

ent


1

Lite

racy

St

anda

rd 3. Follow precisely a multistep procedure when carrying out experiments, taking measurements or performing technical tasks.

Time Frame: 1 dayCHAPTER 1 Algebraic Reasoning LESSON 9: Equations and Their Solutions

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)

NS #3: Solve real-world and mathematical problems involving the four operations with rational numbers.EE#4 Use variables to represent quantities in a real world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

a. Solve Word problems leading to equations of the form px+q = r and p(x + q) = r, where p,q, and r are specific rational numbers. Solve, equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is cm. What is its width.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Write and Solve Equations

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Use a Balance to demonstrate how equations

work. Using algebra tiles solve equations by adding or subtracting. Work without tiles. Show students both

ways to show work.

Cont

ent

Brea

kd Using algebra tiles solve equations by adding or subtracting. Work without tiles. Show students both ways to show work.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ryEquation solution

For

mat

ive

Ass

essm

ent

1.6-1.11 Quiz and Cumulative Assessment at

end of Chapter 1

of 157 Revised 4/29/2013


Lite

racy

St

anda


tasks.

Time Frame: 1 Day

CHAPTER 1 : Algebraic Reasoning LESSON10: SOLVING EQUATIONS BY ADDING OR SUBTRACTING of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)

NS #3: Solve real-world and mathematical problems involving the four operations with rational numbers.EE#4 Use variables to represent quantities in a real world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. Solve Word problems leading to equations of the form px+q = r and p(x + q) = r, where p,q, and r are specific rational numbers. Solve, equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is cm. What is its width.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Using Inverse operations

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Use a Balance to demonstrate how equations

work. Using algebra tiles solve equations by adding or subtracting. Work without tiles. Show students both

ways to show work.

Cont

ent

Brea

kdo

wn Using algebra tiles solve equations by

adding or subtracting. Work without tiles. Show students both ways to show work.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry Addition

Property of Equality Inverse Operations Subtraction Property of Equality F

orm

ativ

e A

sses

smen

t


1

of 157 Revised 4/29/2013


Lite

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tasks.

Time Frame: 1 day

of 157 Revised 4/29/2013


CHAPTER 1 : Algebraic Reasoning LESSON 11 : Solving Equations by Multiplying or DividingCo

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on C

ore

Stat

e St

anda

rd(s

)NS #3: Solve real-world and mathematical problems involving the four operations with rational numbers.EE#4 Use variables to represent quantities in a real world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. Solve Word problems leading to equations of the form px+q = r and p(x + q) = r, where p,q, and r are specific rational numbers. Solve, equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is cm. What is its width.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Simplify algebraic expressions

2. Verify that algebraic expressions are equivalent

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Lecture: Demonstrate how equations should look with multiplication and Division.

Model the steps several times. Make sure students are showing work correctly.

Cont

ent

Brea

kdow

n

Demonstrate how equations should look with multiplication and Division. Model the steps several times. Make sure students

are showing work correctly.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry Multiplication Property of Equality

Division Property of Equality

For

mat

ive

Ass

essm

ent


1

Time Frame: 1 day

of 157 Revised 4/29/2013


CHAPTER 2: Integers and Rational Numbers LESSON 1: Integers

Com

mon

Cor

e St

ate

Stan

dard

(s)

NS #1: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.b. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0. Interpret sums of rational numbers by describing real-world contexts.c. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.d. Apply properties of operations as strategies to add and subtract rational numbers.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1.Add and subtract rational numbers

2. Represent numbers as positive and negative integers

3. Use a model to represent the sum of a positive and a negative integer

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Model: Use number lines to demonstrate additive inverse,

comparing integers, and ordering integers as well as

Absolute Value.

Cont

ent

Brea

kdow

n

Use number lines to demonstrate additive inverse, comparing integers, and ordering

integers as well as Absolute Value.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent

Quiz 2.1-2.5 Chapter 2 Exam over skills

Cumulative Exam Chapters 1 and 2

of 157 Revised 4/29/2013


Lite

racy

St

anda

rd Determine the meaning of symbols, key terms, and other domain-specific words and phrases as they are used in a specific scientific or technical context relevant to grades 6-8.

Time Frame: 1 Day

CHAPTER 2 : Integers and Rational Numbers LESSON 2.1 EXTENSION Negative Exponents of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s

)

EE3 Solve Multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Write numbers in scientific notation with negative exponents.

Inst

ruct

iona

l St

rate

gies

/ L

earn

ing

Acti

viti

es

Explore negative exponents in Stations: Evaluate Negative Exponents.

Cont

ent

Brea

kdow

n Evaluate Negative Exponents

Mat

hem

atic

al

Prac

tice

Sta

ndar





8Look for and express regularity in repeated reasoning.

Voca

bula

ry Opposite additive inverse

integer absolute value

For

mat

ive

Ass

essm

ent



Lite

racy

St

anda

rd

4 Determine the meaning of symbols, key terms, and other

domain-specific words and phrases as they are used in a specific scientific or technical

context relevant to grades 6-8.

Time Frame: 1 DayCHAPTER 2 Integers and Rational Numbers LESSON 2 : ADDING INTEGERS AND LAB MODEL INTEGER ADDITION

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)

NS #1: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.b. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0. Interpret sums of rational numbers by describing real-world contexts.d. Apply properties of operations as strategies to add and subtract rational numbers.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1.Add and subtract rational numbers

2. Represent numbers as positive and negative integers

3. Use a model to represent the sum of a positive and a negative integer

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Model: Model Integer Addition, Adding Integers Using Absolute Values,

Evaluating Expressions with integers, and banking

Application

Cont

ent

Brea

kdow

n

Model Integer Addition, Adding Integers Using Absolute Values, Evaluating

Expressions with integers and Banking Application.

Mat

hem

atic

al

Prac

tice

Sta

ndar





8Look for and express regularity in repeated reasoning..

Voca

bula

ry

For

mat

ive

Ass

essm

ent



Lite

racy

St

anda

rd Determine the meaning of symbols, key terms, and other domain-specific words and


grades 6-8.

Time Frame: 1 DayCHAPTER 2 Integers and Rational Numbers LESSON 3 : Subtracting Integers Lab Model Integer Subtraction

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)

NS #1: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.b. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0. Interpret sums of rational numbers by describing real-world contexts.c. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.d. Apply properties of operations as strategies to add and subtract rational numbers.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Model subtraction of integers using two-color counters

2. Model subtraction of integers on a number line

3. Develop a rule for subtracting integers

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Use Integer Chips to Model Integer Subtraction.

Use a Number line to model Integer Subtraction.

Subtracting Integers by adding the Opposite

Evaluating Expressions with Integers

Cont

ent

Brea

kdow

n Integer Subtraction.Use a Number line to model Integer

Subtraction.Subtracting Integers by adding the Opposite

Evaluating Expressions with Integers

Mat

hem

atic

al P

ract

ice

Stan

dard

1Make Sense of problems and persevere in solving them.





Voca

bula

ry zero pair

For

mat

ive

Ass

essm

ent



Have students make a poster with the rules for adding and

subtracting Integers.

of 157 Revised 4/29/2013


Lite

racy

St

anda


tasks.

Time Frame: 1 DAy

CHAPTER 2 : Integers and Rational Numbers LESSON 4: Multiplying and Dividing Integers Lab Model Integer Multiplication and Division of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)

NS #2: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.b. Understand that integers can be divided and every quotient of integers is a rational number. Interpret quotients of rational numbers by describing real-world contexts.c. Apply properties of operations as strategies to multiply and divide rational numbers.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Multiply integers

2. Divide integers

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es Model Integer Multiplication and Division using Integer

Chips. Use a number Line to Model Integer Multiplication using

repeated addition.Multiply IntegersDivide Integers

Real life Application

Cont

ent

Brea

kdow

n Multiplication and Division using Integer Chips.

Use a number Line to Model Integer Multiplication using repeated addition.

Multiply IntegersDivide Integers

Real life Application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent



Make a poster with the rules for multiplying and Dividing

integers.

of 157 Revised 4/29/2013


Lite

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St

anda

rd Follow precisely a multistep procedure when carrying out experiments, taking measurements or performing technical

tasks.

Time Frame: 1 Day

CHAPTER 2 Integers and Rational Numbers LESSON 5: Solving Equations Containing Integers Lab 2.5 Model Integer Equations of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)

NS #1: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. d. Apply properties of operations as strategies to add and subtract rational numbers.NS #2: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.EE#4 Use variables to represent quantities in a real world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. Solve Word problems leading to equations of the form px+q = r and p(x + q) = r, where p,q, and r are specific rational numbers. Solve, equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is cm. What is its widt St

uden

ts’ L

earn

ing

Targ

et(s

)

Solve Equations

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Using Algebra tiles Model Integer Equations Solve Addition and

subtraction equationsSolve multiplication and

division equationsBusiness application

Cont

ent

Brea

kdo

wn

Using Algebra tiles Model Integer Equations Solve Addition and subtraction equations

Solve multiplication and division equationsBusiness application

of 157 Revised 4/29/2013


Mat

hem

atic

al

Prac

tice

Sta

ndar




6Attend to precision7Look for and make use of structure8Look for and express regularity in repeated reasoning..

Voca

bula

ry

For

mat

ive

Ass

essm

ent



Lite

racy

St

anda


tasks.

Time Frame: 1 Day

CHAPTER 2 Integers and Rational Numbers LESSON 6 : PRIME FACTORIZATION

of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s

)NS #2: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.EE #1: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Prime Factorization

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Use Factor Trees to find prime factorization

Use a step diagram to find prime factorization

Cont

ent

Brea

kdo

wn Use Factor Trees to find prime factorization

Use a step diagram to find prime factorization

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ryPrime number composite number prime factorization

For

mat

ive

Ass

essm

ent



Lite

racy

St

anda


tasks.

Time Frame:

CHAPTER 2 : Integers and Rational Numbers LESSON 7 : Greatest Common Factor

of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s

)NS #2: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.NS #3: Solve real-world and mathematical problems involving the four operations with rational numbers.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

GCF

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Lecture: Use Prime Factorization to Find the GCF. Problem Solving Application

Cont

ent

Brea

kdow

n

Use Prime Factorization to Find the GCF. Problem Solving Application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

Greatest Common Factor

For

mat

ive

Ass

essm

ent



Lite

racy

St

anda

rd

Follow precisely a multistep procedure when carrying out experiments, taking measurements or performing technical

tasks.

CHAPTER 2: Integers and Rational Numbers LESSON 8 : Least Common Multiple

of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s

) NS #2: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.NS #3: Solve real-world and mathematical problems involving the four operations with rational numbers.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

LCM

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Lecture: Use a list to find the LCM

Using Prime Factorization to find the LCM

Recreation Application

Cont

ent

Brea

kdow

n

Use a list to find the LCMUsing Prime Factorization to find the LCM

Recreation Application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

MultipleLeast Common Multiple

For

mat

ive

Ass

essm

ent



Lite

racy

St

anda


tasks.

CHAPTER 2: Integers and Rational Numbers LESSON 9: Equivalent Fractions and Mixed Numbers

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)

NS #1: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. d. Apply properties of operations as strategies to add and subtract rational numbers.NS #2: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.NS #3: Solve real-world and mathematical problems involving the four operations with rational numbers.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Equivalent Fractions

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es Stations: Find Equivalent Fractions

Writing Fractions in Simplest Form

Determining Whether Fractions are equivalent

Converting Between Improper Fractions and Mixed

Numbers.

Cont

ent

Brea

kdow

n Find Equivalent FractionsWriting Fractions in Simplest FormDetermining Whether Fractions are

equivalent

Converting Between Improper Fractions and Mixed Numbers

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ryEquivalent Fractions

relatively prime

For

mat

ive

Ass

essm

ent



of 157 Revised 4/29/2013


Lite

racy

St

anda


tasks.

CHAPTER 2: Integers and Rational Numbers LESSON 10 : Equivalent Fractions and Decimals of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Find Equivalent Fractions and Decimals

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Lecture/Stations: Writing Fractions as Decimals

Using Mental Math to Write Fractions as Decimals

Writing Decimals as FractionsSports Application

Cont

ent

Brea

kdow

n Writing Fractions as DecimalsUsing Mental Math to Write Fractions as

DecimalsWriting Decimals as Fractions

Sports Application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

Terminating decimal repeating decimal

For

mat

ive

Ass

essm

ent



of 157 Revised 4/29/2013


Lite

racy

St

anda


tasks.

CHAPTER 2: Integers and Rational Numbers LESSON 11: Comparing and Ordering Rational Numbers of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Model a situation with an expression using rational numbers

2. Evaluate rational expressions

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Stations: Comparing Fractions

Comparing DecimalsOrdering Fractions and

Decimals

Cont

ent

Brea

kdow

n

Comparing FractionsComparing Decimals

Ordering Fractions and Decimals

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

Rational number

For

mat

ive

Ass

essm

ent



of 157 Revised 4/29/2013


Lite

racy

St

anda


tasks.

CHAPTER 3: Applying Rational Numbers LESSON 1: ESTIMATING WITH DECIMALS of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s

) NS #1: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. d. Apply properties of operations as strategies to add and subtract rational numbers..

Stud

ents

’ Lea

rnin

g Ta

rget

(s) 1. Use decimals and

fractions to evaluate arithmetic expressions

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Stations: Estimating sums and differences of decimals,

estimating products and quotients of decimals, school

application

Cont

ent

Brea

kdo

wn

Estimating sums and differences of decimals, estimating products and

quotients of decimals, school application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ryCompatible numbers

For

mat

ive

Ass

essm

ent

Quiz 3.1-3.5, Cumulative Chapters 1,2,and 3

Lite

racy

St

anda

rd Follow precisely a multistep procedure when carrying out experiments, taking measurements, or performing technical

tasks.

Time Frame: 1 Day

CHAPTER 3: Applying Rational Numbers LESSON 2: ADDING AND SUBTRACTING DECIMALS

of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s

) NS #1: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. d. Apply properties of operations as strategies to add and subtract rational numbers.

Stud

ents

’ Lea

rnin

g Ta

rget



Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Stations: Adding Decimals, Subtracting Decimals,

Transportation Application

Cont

ent

Brea

kdo

wn Adding Decimals, Subtracting Decimals,

Transportation Application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

CHAPTER 3: Applying Rational Numbers LESSON 3: MODEL DECIMAL MULTIPLICATION/ AND MULTIPLYING DECIMALS

of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s

)NS #2: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

Stud

ents

’ Lea

rnin

g Ta

rget



Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Model Multiplication with Decimals, Multiplying integers

by decimals, Multiplying decimals by decimals, Nutrition Application

Cont

ent

Brea

kdo

wn

Model Multiplication with Decimals, Multiplying integers by decimals,

Multiplying decimals by decimals, Nutrition Application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 DayCHAPTER 3: Applying Rational Numbers LESSON 4: MODEL DECIMALS DIVISION 3.4 LAB AND3.4 DIVIDING DECIMALS

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)

NS #2: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.c. Apply properties of operations as strategies to multiply and divide rational numbers.d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

Stud

ents

’ Lea

rnin

g Ta

rget



Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Model Decimals Division, Dividing Decimals by

Decimals, Dividing Integers by Decimals, transportation

Application

Cont

ent

Brea

kdo

wn Model Decimals Division, Dividing Decimals

by Decimals, Dividing Integers by Decimals, transportation Application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 DayCHAPTER 3: Applying Rational Numbers LESSON 5: SOLVING EQUATIONS CONTAINING DECIMALS

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)

NS #2: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.c. Apply properties of operations as strategies to multiply and divide rational numbersd. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.EE4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Use decimals and fractions to evaluate arithmetic expressions

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Lecture: Using Smart Board demonstrate Solving

Equations by Adding or Subtracting, Solving

Equations by multiplying or Dividing, Problem Solving

Application

Cont

ent

Brea

kdo

wn Solving Equations by Adding or Subtracting,

Solving Equations by multiplying or Dividing, Problem Solving Application

Mat

hem

atic

al

Prac

tice

Sta

ndar





8Look for and express regularity in repeated reasoning.

Voca

bula

ry

For

mat

ive

Ass

essm

ent


Problem solving: Determine whether the given solution

answers the equation.

of 157 Revised 4/29/2013


Lite

racy

St

anda


tasks.

Time Frame: 1 DAy

CHAPTER 3: Applying Rational Numbers LESSON 6: ESTIMATING FRACTIONS of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s


Stud

ents

’ Lea

rnin

g Ta

rget



Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Stations: Measurement Application, Estimating Sums and Differences, Estimating

Products and Quotients

Cont

ent

Brea

kdo

wn Measurement Application, Estimating Sums

and Differences, Estimating Products and Quotients

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 DayCHAPTER 3: Applying Rational Numbers LESSON 7: MODEL FRACTION ADDITION AND SUBTRACTION/ADDING AND SUBTRACTING FRACTIONS

of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s


Stud

ents

’ Lea

rnin

g Ta

rget



Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Lecture: Adding and Subtracting Fractions with Like Denominators, Adding and Subtracting Fractions with Unlike Denominators,

Astronomy Application.Model with Pizza or Candy

Bars.

Cont

ent

Brea

kdo

wn

Adding and Subtracting Fractions with Like Denominators, Adding and Subtracting

Fractions with Unlike Denominators, Astronomy Application.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry


Lite

racy

St

anda


tasks.

Time Frame: 1 DayCHAPTER 3: Applying Rational Numbers LESSON 8: ADDING AND SUBTRACTING MIXED NUMBERS

of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s

) NS #1: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. d. Apply properties of operations as strategies to add and subtract rational numbers..

Stud

ents

’ Lea

rnin

g Ta

rget



Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Lecture: Measurement Application, Adding Mixed Numbers,

Subtracting Mixed Numbers

Cont

ent

Brea

kdo

wn Measurement Application, Adding Mixed

Numbers, Subtracting Mixed Numbers

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 Day

CHAPTER 3: Applying Rational Numbers LESSON 9: MODEL FRACTION MULTIPLICATION AND DIVISION, MULTIPLYING FRACTIONS AND MIXED NUMBERS

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)

NS #2: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.c. Apply properties of operations as strategies to multiply and divide rational numbersd. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

Stud

ents

’ Lea

rnin

g Ta

rget



Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Lecture: Multiplying Fractions, Multiplying Mixed

Numbers, Transportation Application

Cont

ent

Brea

kdo

wn Multiplying Fractions, Multiplying Mixed

Numbers, Transportation Application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

CHAPTER 3: Applying Rational Numbers LESSON 10: DIVIDNG FRACTIONS AND MIXED NUMBERS

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)

NS #2: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.c. Apply properties of operations as strategies to multiply and divide rational numbersd. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

Stud

ents

’ Lea

rnin

g Ta

rget



Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Lecture: Dividing Fractions, Dividing Mixed Numbers, Social Studies Application

Cont

ent

Brea

kdo

wn Dividing Fractions, Dividing Mixed Numbers,

Social Studies Application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry Reciprocal Multiplicative

inverse

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 Day

CHAPTER 3: Applying Rational Numbers LESSON 11: SOLVING EQUATIONS CONTAINING FRACTIONS

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s) NS #1: Apply and extend previous

understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. d. Apply properties of operations as strategies to add and subtract rational numbers.NS #2: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.EE4 Use variables to represent quantities in a real world or mathematical problem and construct simple equations and inequalities to solve problems by reasoning about the quantities.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Use decimals and fractions to evaluate arithmetic expressions

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Lecture: Solving Equations by adding or subtracting,

Solving equations by multiplying, physical science

application

Cont

ent

Brea

kdo

wn Solving Equations by adding or subtracting,

Solving equations by multiplying, physical science application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent


of 157 Revised 4/29/2013


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 4.: Proportional Relationships LESSON 1: RATIOS of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s

)RP #1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units..

Stud

ents

’ Lea

rnin

g Ta

rget

(s) 1. Identify ratios, rates,

and unit rates

2. Use ratios, rates, and units to analyze problems

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Read: Pythagoras and the Ratios by Julie EllisStations: Writing Ratios, Writing ratios in simplest form, comparing ratios

Cont

ent

Brea

kdow

n

Writing Ratios, Writing ratios in simplest form, comparing ratios

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry ratio

For

mat

ive

Ass

essm

ent

Quiz 4.1-4.5, Cumulative Chapters 1,2,3 and 4

Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 4: Proportional Relationships LESSON 2: RATES of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s

) RP #1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.2b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams and verbal descriptions of proportional relationships.

Stud

ents

’ Lea

rnin

g Ta

rget

(s) 1. Use ratios to make

comparisons

2. Use rates and proportions to solve mixture problems

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Lecture/Stations: Finding Unit Rates, Finding Average Speed, Consumer Math

ApplicationTake sales ads and

comparison shop finding unit rate.

Cont

ent

Brea

kdow

n

Finding Unit Rates, Finding Average Speed, Consumer Math Application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ryRate

Unit rate

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

CHAPTER 4: Proportional Relationships LESSON 3: Identifying and Writing Proportions

of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s

) RP #1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.RP #2: Recognize and represent proportional relationships between quantities.

Stud

ents

’ Lea

rnin

g Ta

rget

(s) 1. Write ratios and

rates

2. Write proportions

3. Scale up and scale down proportions

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Lecture/Stations: Comparing Ratios in simplest form,

comparing using a common denominator, finding

equivalent ratios and writing proportions

Cont

ent

Brea

kdow

n

Comparing Ratios in simplest form, comparing using a common denominator,

finding equivalent ratios and writing proportions

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

CHAPTER 4: Proportional Relationships LESSON 4: Solving Proportions

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)

RP #1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

RP #2: Recognize and represent proportional relationships between quantities.b. Identify the constant of proportionality in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Use tables to represent equivalent ratios

2. Solve proportions using unit rates

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Model /lecture: Solving Proportions using cross

products, problem solving Application

Cont

ent

Brea

kdow

n

Solving Proportions using cross products, problem solving Application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

cross product

For

mat

ive

Ass

essm

ent

Quiz 4.1-4.5, Cumulative Chapters 1,2,3, and 4

Lite

racy

St

anda


tasks.

Time Frame: 1 day

of 157 Revised 4/29/2013


of 157 Revised 4/29/2013


CHAPTER 4: Proportional Relationships LESSON 5: Customary MeasurementsCo

mm

on C

ore

Stat

e St

anda

rd(s

)RP #1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.RP #2: Recognize and represent proportional relationships between quantities.c. Represent proportional relationships by equations.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

converting customary units

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Stations: Choosing the Appropriate customary unit, converting customary units, adding or subtracting mixed

units of measure

Cont

ent

Brea

kdo

wn Choosing the Appropriate customary unit,

converting customary units, adding or subtracting mixed units of measure

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

of 157 Revised 4/29/2013


CHAPTER 4: Proportional Relationships LESSON 6: Metric Measurements

Com

mon

Cor

e St

ate

Stan

dard

(s) RP #1: Compute unit rates associated with

ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.RP #2: Recognize and represent proportional relationships between quantities.b. Identify the constant of proportionality in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

converting metric units

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Stations: Choosing the Appropriate Metric unit,

converting metric units, using unit conversion to make

comparisons/ Use King Henry drives me(grandma or lucy)

downright crazy Mondays. To teach metric conversions.

Kilo, hector, deka, Meter(Gram or Liter)deci,

centi, milli

Cont

ent

Brea

kdow

n

Choosing the Appropriate Metric unit, converting metric units, using unit conversion to make comparisons

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent


of 157 Revised 4/29/2013


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 4: Proportional Relationships LESSON 7: Dimensional Analysis of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard


ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.RP #2: Recognize and represent proportional relationships between quantities.b. Identify the constant of proportionality in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.RP #3: Use proportional relationships to solve multistep ratio and percent problems.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Converting Between Metric and Customary Units

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Lecture/Model: single Conversion Factors to Solve

Problems, Converting Between Metric and

Customary Units, Sports Application

Cont

ent

Brea

kdow

n

Using Conversion Factors to Solve Problems, Converting Between Metric and

Customary Units, Sports Application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

Unit conversion factor

For

mat

ive

Ass

essm

ent


of 157 Revised 4/29/2013


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 4: Proportional Relationships LESSON 8: Make Similar Figures/Similar Figures and Proportions of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s

) RP #2: Recognize and represent proportional relationships between quantities.b. Identify the constant of proportionality in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.G#2: Draw, construct, and describe geometrical figures and describe the relationships between them.

Stud

ents

’ Lea

rnin

g Ta

rget

(s) Model similar figures

determine whether two triangles are similardetermine whether two four sided figures are similar

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Stations: Model similar figures and determine

whether two triangles are similar, determine whether two four sided figures are

similar

Cont

ent

Brea

kdow

n

Model similar figures and determine whether two triangles are similar,

determine whether two four sided figures are similar

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

rySimilar

Corresponding sidesCorresponding angles

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

of 157 Revised 4/29/2013


CHAPTER 4: Proportional Relationships LESSON 9: Using Similar FiguresCo

mm

on

Core

Sta

te

Stan

dard

(s)

RP #2: Recognize and represent proportional relationships between quantities.RP #3: Use proportional relationships to solve multistep ratio and percent problems.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Finding unknown measures in similar figures

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Lecture/Smart board: Finding unknown measures in similar

figures, measurement application, estimating with

indirect measurement

Cont

ent

Brea

kdow

n

Finding unknown measures in similar figures, measurement application,

estimating with indirect measurement

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

Indirect measurement

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

of 157 Revised 4/29/2013


CHAPTER 4: Proportional Relationships LESSON 10: Scale Drawings and Scale Models/make scale Drawings and models

Com

mon

Cor

e St

ate

Stan

dard

(s)

RP #2: Recognize and represent proportional relationships between quantities.b. Identify the constant of proportionality in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.G1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

Stud

ents

’ Le

arni

ng

Make scale modelsusing scale factors to find unknown lengths

Inst

ruct

iona

l St

rate

gies

/

Model/Smart board: Make scale models and Drawings/ Finding a scale factor, using

scale factors to find unknown lengths, measurement

applicationPossibly home project or end of year: Build Geometric

Town Using scale models.

of 157 Revised 4/29/2013


Targ

et(s

)

Lea

rnin

g Ac

tivi

ties

Cont

ent

Brea

kdow

nFinding a scale factor, using scale factors to

find unknown lengths, measurement application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

Scale drawing, scale factor, scale model,

scale

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

of 157 Revised 4/29/2013


CHAPTER 5: Direct Variation & Constant of Proportionality LESSON 1: The Coordinate Plane

Com

mon

Cor

e St

ate

Stan

dard

(s)

RP2 Recognize and represent proportional relationships between quantities.

a. Decide whether two quantities are in a proportional relationship, eg., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal describptions of proportional relationships.d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

Stud

ents

’ Lea

rnin

g Ta

rget

(s) 1. Determine how

quantities in different situations vary

2. Use multiple representations to explore the types of variation

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Read Sir Cumference and the Viking’s Map by Cindy

NeuschwanderStations: Identifying

quadrants on a coordinate plane, plotting points on a

coordinate plane, identifying points on a coordinate plane

Draw a picture using Coordinates.

of 157 Revised 4/29/2013


Cont

ent

Brea

kdow

nIdentifying quadrants on a coordinate

plane, plotting points on a coordinate plane, identifying points on a coordinate plane

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry coordinate plane, x-axis, y-axis, origin, quadrant, ordered pair F

orm

ativ

e A

sses

smen

t

Quiz 5.1-5.5, Cumulative Chapters 1,2,3, 4, and 5

Lite

racy

St

anda


tasks.

Time Frame: 1 day

of 157 Revised 4/29/2013


CHAPTER 5: Direct Variation & Constant of Proportionality LESSON 2: Interpreting Graphs

Com

mon

Cor

e St

ate

Stan

dard

(s)


a. Decide whether two quantities are in a proportional relationship, eg., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

b. B. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal describptions of proportional relationships.

d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.. St

uden

ts’ L

earn

ing

Targ

et(s

) 1. Determine if the points on a graph are equivalent ratios

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Lecture: Relating Graphs to Situations, Problem solving

Application. Create on problem situation and model

it with a graph.

of 157 Revised 4/29/2013


Cont

ent

Brea

kdow

n

Relating Graphs to Situations, Problem solving Application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

of 157 Revised 4/29/2013


CHAPTER 5: Direct Variation & Constant of Proportionality LESSON 3: Functions, Tables, and Graphs

Com

mon

Cor

e St

ate

Stan

dard

(s)




d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate. St

uden

ts’ L

earn

ing

Targ

et(s

) 1. Determine the constant of proportionality

2. Solve problems using the proportional relationship between two variables

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Stations: Completing a function table, graphing

functions using ordered pairs

of 157 Revised 4/29/2013


Cont

ent

Brea

kdow

n

Completing a function table, graphing functions using ordered pairs

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

function input output

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

of 157 Revised 4/29/2013


CHAPTER 5: Direct Variation & Constant of Proportionality LESSON 4: SequencesCo

mm

on C

ore

Stat

e St

anda

rd(s

)RP2 Recognize and represent proportional relationships between quantities.



d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Determine if there is a constant of proportionality between two variables

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Stations: Identifying patterns in sequences, identifying

functions in sequences, using functions to extend

sequences

Cont

ent

Brea

kdow

n

Identifying patterns in sequences, identifying functions in sequences, using

functions to extend sequences

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

SequenceTerm

Arithmetic sequenceCommon differenceGeometric sequence

For

mat

ive

Ass

essm

ent


of 157 Revised 4/29/2013


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 5: Direct Variation & Constant of Proportionality LESSON 5: Explore linear functions/graphing linear functions of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)

EE1: Use properties of operations to generate equivalent expressions

1. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Graph relationships that are directly proportional

2. Interpret the graphs of relationships that are directly proportional

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Lecture/Model: Graphing linear functions, physical

science application

Cont

ent

Brea

kdow

n

Graphing linear functions, physical science application

Mat

hem

atic

al

Prac

tice

Sta

ndar

d


2Reason abstractly and quantitatively

3Construct viable arguments and critique the reasoning of others



8Look for and express regularity in repeated reasoning.. Vo

cabu

lary

Linear equationLinear function

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda

rd Follow precisely a multistep procedure when carrying out experiments, taking

measurements, or performing technical tasks.

of 157 Revised 4/29/2013


CHAPTER 5: Direct Variation & Constant of Proportionality LESSON 5: Explore linear functions/graphing linear functionsCo

mm

on C

ore

Stat

e St

anda

rd(s

)EE1: Use properties of operations to generate equivalent expressions

1. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Determine if two variables are directly proportional or vary directly

2. Interpret relationships that are direct proportions

3. Solve direct variation problems using the equation y = kx In

stru

ctio

nal S

trat

egie

s /

Lea

rnin

g Ac

tivi

ties

Lecture: Identifying the Slope of the Line, Using Slope and a

point to graph a line, identifying rates of change in graphs, using rate of change

to solve problems

Cont

ent

Brea

kdow

n

Identifying the Slope of the Line, Using Slope and a point to graph a line,

identifying rates of change in graphs, using rate of change to solve problems

Mat

hem

atic

al

Prac

tice

Sta

ndar

d


2Reason abstractly and quantitatively

3Construct viable arguments and critique the reasoning of others




cabu

lary

SlopeRate of change

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda

rd Follow precisely a multistep procedure when carrying out experiments, taking

measurements, or performing technical tasks.

of 157 Revised 4/29/2013


CHAPTER 5: Direct Variation & Constant of Proportionality LESSON 7: Slope-Intercept Form

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)

RP #2: Recognize and represent proportional relationships between quantities.a. Decide whether two quantities are in a proportional relationship.b. Identify the constant of proportionality in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Determine if relationships are directly proportional

2. Interpret the meaning of direct proportions

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Lecture/Model: Finding x-and y-intercepts, graphing by

using slope and y-intercept, writing an equation in slope-

intercept form

Cont

ent

Brea

kdow

n

Finding x-and y-intercepts, graphing by using slope and y-intercept, writing an

equation in slope-intercept form

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

x-intercepty-intercept

slope-intercept form

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.



CHAPTER 5: Direct Variation & Constant of Proportionality LESSON 8: Direct Variation/Inverse Variation

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)

RP #2: Recognize and represent proportional relationships between quantities.a. Decide whether two quantities are in a proportional relationship.b. Identify the constant of proportionality in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Determine if relationships are directly proportional

2. Interpret the meaning of direct proportions

3. Determine or interpret the constant of proportionality for variables that are directly proportional In

stru

ctio

nal S

trat

egie

s /

Lea

rnin

g Ac

tivi

ties

Lecture: Identifying a Direct Variation from an Equation, Identifying a Direct Variation from a Table, Identifying a

Direct Variation from a Graph

Cont

ent

Brea

kdow

n

Identifying a Direct Variation from an Equation, Identifying a Direct Variation from a Table, Identifying a Direct Variation from

a Graph

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

x-intercepty-intercept

slope-intercept form

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.



CHAPTER 6: Rates & Percents LESSON 1: Percents/Model Percents

Com

mon

Co

re S

tate

St

anda

rd(s

)

RP #3: Use proportional relationships to solve multistep ratio and percent problems.

Stud

ents

’ Le

arni

ng 1. Estimate and

calculate the values of percents

Inst

ruct

iona

l St

rate

gies

/ Students will work in stations to model percents, write

percents as fractions, and write percents as decimals.

of 157 Revised 4/29/2013


Targ

et(s

)

Lea

rnin

g Ac

tivi

ties

Cont

ent

Brea

kdow

n

model percents, write percents as fractions, and write percents as decimals.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

percent

For

mat

ive

Ass

essm

ent

6.1-6.5 Quiz then Chapters 1-6 cumulative assessment

Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 6: Rates & Percents LESSON 2: Fractions, Decimals and Percent

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard


ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. RP #2: Recognize and represent proportional relationships between quantities.c. Represent proportional relationships by equations. RP #3: Use proportional relationships to solve multistep ratio and percent problems.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Solve problems involving percents

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Students will work on Writing Decimals as Percents, Writing

Fractions as Percents, ordering rational numbers, and Choosing a Method of

computation.

Cont

ent

Brea

kdow

n

Writing Decimals as Percents, Writing Fractions as Percents, ordering rational

numbers, and Choosing a Method of computation.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.



CHAPTER 6: Rates & Percents LESSON 3: Estimating with Percents

Com

mon

Co

re S

tate

St

anda

rd(s

) RP #2: Recognize and represent proportional relationships between quantities.c. Represent proportional relationships by equations. RP #3: Use proportional relationships to solve multistep ratio and percent problems. St

uden

ts’

Lear

ning

1. Solve proportions

2. Solve percent equations

Inst

ruct

iona

l St

rate

gies

/ Using Fractions to Estimate Percents, Consumer Math

Application, Estimating with simple percents, consumer

math application

of 157 Revised 4/29/2013


Targ

et(s

)

Lea

rnin

g Ac

tivi

ties

Cont

ent

Brea

kdow

nUsing Fractions to Estimate Percents,

Consumer Math Application, Estimating with simple percents, consumer math

application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

percent equation

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

of 157 Revised 4/29/2013


CHAPTER 6: Rates & Percents LESSON 4: Percent of a NumberCo

mm

on C

ore

Stat

e St

anda

rd(s

) RP #2: Recognize and represent proportional relationships between quantities.a. Decide whether two quantities are in a proportional relationship.c. Represent proportional relationships by equations. RP #3: Use proportional relationships to solve multistep ratio and percent problems.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Find Percents of numbers

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Use Proportions to Find Percents of Numbers, Use

Decimal Equivalents to find percents of numbers,

geography application.

Cont

ent

Brea

kdow

n

Use Proportions to Find Percent s of Numbers, Use Decimal Equivalents to find

percents of numbers, geography application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.



CHAPTER 6: Rates & Percents LESSON 5: Solving Percent Problems Co

mm

on C

ore

Stat

e St

anda

rd(s

) RP #2: Recognize and represent proportional relationships between quantities.a. Decide whether two quantities are in a proportional relationship.b. Identify the constant of proportionality in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.c. Represent proportional relationships by equations. RP #3: Use proportional relationships to solve multistep ratio and percent problems.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Solve percent problems using direct variation

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Using Proportions to Solve Problems with Percents, Use equations to solve problems with percents, Finding Sales

Tax

Cont

ent

Brea

kdow

n

Using Proportions to Solve Problems with Percents, Use equations to solve problems

with percents, Finding Sales Tax

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent


of 157 Revised 4/29/2013


Lite

racy

St

anda


tasks.

Time Frame 1 day

CHAPTER 6: Rates & Percents LESSON 6: Percent of Change

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s) RP #2: Recognize and represent proportional

relationships between quantities.a. Decide whether two quantities are in a proportional relationship.b. Identify the constant of proportionality in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.c. Represent proportional relationships by equations. RP #3: Use proportional relationships to solve multistep ratio and percent problems.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)


Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Finding Percent of change, Using percent of change,

business application.

Cont

ent

Brea

kdow

n

Finding Percent of change, Using percent of change, business application.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry percent of change, percent of increase, percent of decrease F

orm

ativ

e A

sses

smen

t


Lite

racy

St

anda


tasks.



CHAPTER 6: Rates & Percents LESSON 7: Simple Interest

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s) RP #2: Recognize and represent proportional

relationships between quantities.a. Decide whether two quantities are in a proportional relationship.b. Identify the constant of proportionality in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.c. Represent proportional relationships by equations. RP #3: Use proportional relationships to solve multistep ratio and percent problems.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)


2. Write equations to show the constant of proportionality

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Use simple interest formula, Problem solving application

Cont

ent

Brea

kdow

n

Use simple interest formula, Problem solving application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

Interest, simple interest, principal

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.



CHAPTER 7: Data Collection LESSON 1 : FREQUENCY TABLES, STEM-AND-LEAF PLOTS, AND LINE PLOTS

Com

mon

Co

re S

tate

St

anda

rd(s

) SP3 Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability..

Stud

ents

’ Le

arni

ng 1. Collect data from a

survey and analyze the results

Inst

ruct

iona

l St

rate

gies

/ Read Sir Cumference aqnd the Off-the-Charts Dessert by

Cindy NeuschwanderOrganizing and Interpreting Data in a Frequency Table, Organize and Interpret Data

in a Stem- and- Leaf Plot.

of 157 Revised 4/29/2013


Targ

et(s

)

Lea

rnin

g Ac

tivi

ties

Cont

ent

Brea

kdo

wn Organizing and Interpreting Data ina

Frequency Table, Organize and Interpret Data in a Stem- and- Leaf Plot.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry Frequency table, cumulative frequency, stem-and leaf plot, line plot F

orm

ativ

e A

sses

smen

t

7.1-7.5 Quiz and Chapter 1-7 cumulative

Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 7: Data Collection LESSON 2: Mean, Median, Mode, and Range

Com

mon

Co

re S

tate

St

anda

rd(s

) SP3 Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability...SP #4: Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.

Stud

ents

’ Le

arni

ng 1. Analyze measures of

center for samples from a population

2. Analyze measures of variation for samples from a population In

stru

ctio

nal

Stra

tegi

es / Stations: Find Mean, median,

mode and range of a data set, Choose the best measure

to describe a set of data, explore the effects of outliers

on measures of central tendency.

of 157 Revised 4/29/2013


Targ

et(s

)

Lea

rnin

g Ac

tivi

ties

Cont

ent

Brea

kdow

nFind Mean, median, mode and range of a

data set, Choose the best measure to describe a set of data, explore the effects of

outliers on measures of central tendency.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

Mean, median, mode, range, outlier

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

of 157 Revised 4/29/2013


CHAPTER 7: Data Collection LESSON 3: BAR GRAPHS AND HISTOGRAMS

Com

mon

Cor

e St

ate

Stan

dard

(s)

SP #1: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.SP #2: Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Use data from a random sample to draw inferences

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Stations: Interpret a Bar Graph, Maek a Double-Bar Graph, Make a Histogram

Cont

ent

Brea

kdow

n

Stations: Interpret a Bar Graph, Maek a Double-Bar Graph, Make a Histogram

of 157 Revised 4/29/2013


Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

Bar graph, double-bar graph, histogram

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

of 157 Revised 4/29/2013


CHAPTER 7: Data Collection LESSON 4: READING AND INTERPRETING CIRCLE GRAPHS

Com

mon

Cor

e St

ate

Stan

dard

(s)

SP #1: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.SP #2: Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.SP #4: Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1 Use data from a random sample to draw inferences

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Life Science Application, Interpreting circle graphs, choosing an appropriate

graph.

Cont

ent

Brea

kdow

n

Life Science Application, Interpreting circle graphs, choosing an appropriate graph

of 157 Revised 4/29/2013


Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

of 157 Revised 4/29/2013


CHAPTER 7: Data Collection LESSON 5: Box- and- Whisker Plots

Com

mon

Cor

e St

ate

Stan

dard

(s)


Stud

ents

’ Lea

rnin

g Ta

rget

(s)


Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Making a box and whisker plot, comparing box and

whisker plots

Cont

ent

Brea

kdow

n

Making a box and whisker plot, comparing box and whisker plots

of 157 Revised 4/29/2013


Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

of 157 Revised 4/29/2013


CHAPTER 7: Data Collection LESSON 6: Line Graphs

Com

mon

Cor

e St

ate

Stan

dard

(s)


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Investigate the sample size of a survey

2. Investigate the concept that as a the sample size increase, the statistic obtained gets closer to the actual population parameter

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Make Line Graphs, Use line graphs to estimate data, make double line graphs

Cont

ent

Brea

kdow

n

Make Line Graphs, Use line graphs to estimate data, make double line graphs

of 157 Revised 4/29/2013


Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

sample size

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

of 157 Revised 4/29/2013


CHAPTER 7: Data Collection LESSON 7: Choosing an Appropriate Display

Com

mon

Cor

e St

ate

Stan

dard

(s)


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1Making generalizations about a population from a sample.

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Choosing an Appropriate Display, Identify the most

appropriate display.

Cont

ent

Brea

kdow

n

Choosing an Appropriate Display, Identify the most appropriate display.

of 157 Revised 4/29/2013


Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

sample size

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

of 157 Revised 4/29/2013


CHAPTER 7 : Data Collection LESSON 8: Populations and Samples

Com

mon

Cor

e St

ate

Stan

dard

(s)


Stud

ents

’ Lea

rnin

g Ta

rget

(s)



Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Analyzing Sampling Methods, Identifying Potentially Biased

Samples, Verifying Claims based on Statistical Data

Cont

ent

Brea

kdow

n

Analyzing Sampling Methods, Identifying Potentially Biased Samples, Verifying

Claims based on Statistical Data

of 157 Revised 4/29/2013


Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

population, sample, random sample, convenience sample biased sample

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 7: Data Collection LESSON 9: Scatter Plots

Com

mon

Cor

e St

ate

Stan

dard

(s)


Stud

ents

’ Le

arni

ng


Inst

ruct

iona

l St

rate

gies

/

Students will make a scatter plot, and determine the

relationship between two sets of data using a scatter plot.

of 157 Revised 4/29/2013


Targ

et(s

)

Lea

rnin

g Ac

tivi

ties

Cont

ent

Brea

kdow

nmake a scatter plot, and determine the

relationship between two sets of data using a scatter plot.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

scatter plot, correlation, positive correlation, negative correlation, no correlation F

orm

ativ

e A

sses

smen

t


Lite

racy

St

anda


tasks.

Time Frame: 1 day

of 157 Revised 4/29/2013


CHAPTER 7: Data Collection LESSON 10: Misleading Graphs

Com

mon

Cor

e St

ate

Stan

dard

(s)


Stud

ents

’ Lea

rnin

g Ta

rget

(s)



Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Students will analyze misleading graphs, Using newspaper articles we will

determine If and how a graph is misleading.

Cont

ent

Brea

kdow

n

analyze misleading graphs

of 157 Revised 4/29/2013


Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

of 157 Revised 4/29/2013


CHAPTER 8: Using Geometry LESSON 1 BUILDING BLOCKS OF GEOMETRY

Com

mon

Co

re S

tate

St

anda

rd(s

)

G #2: Draw geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Sketch and draw figures

2. Use a compass to construct circles

3. Use geometric tools to duplicate line segments

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Read Sir Cumference and

the Great Knight of Angleland

By Cindy Neuschwander Students will Identify

points, lines, and planes as well as line segments and rays. They will also identify congruent line segments.

Manipulatives ruler protractor compass

Cont

ent

Brea

kdow

n

Students will Identify points, lines, and planes as well as line segments and rays. They will also identify congruent line segments.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

point, line, plane, ray, line segment, congruent

For

mat

ive

Ass

essm

ent


of 157 Revised 4/29/2013


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 8: Using Geometry LESSON 2: Classifying Angles/Explore Complementary and Supplementary Angles

Com

mon

Co

re S

tate

St

anda

rd(s

)

G #2: Draw geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Measure and construct angles2.Duplicate angles3. Calculate the supplement of an angle4. Calculate the complement of an angle

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Students will use a protractor to measure angles and to draw angles.

Students will classify angles and identify complementary and supplementary angles.

Manipulatives ruler protractor compassCo

nten

t Br

eakd

ow

n

Use a protractor to measure angles and to draw angles. Classify angles and identify complementary and supplementary angles.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

angle vertex acute angle right angle obtuse angle straight angle Complementary

angles Supplementary

angles F

orm

ativ

e A

sses

smen

t


of 157 Revised 4/29/2013


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 8: Using Geometry LESSON 3 LINE AND ANGLE RELATIONSHIPS/EXPLORE PARALLEL LINES AND TRANSVERSALS/CONSTRUCT BISECTORS AND CONGRUENT ANGLES

Com

mon

Cor

e St

ate

Stan

dard

(s)

G #2: Draw geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.G #5: Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Construct perpendicular lines, Construct a transversal

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es Students will Identify Parallel, Perpendicular, and Skew Lines.

They will use angle relationships to find angle measures.


Cont

ent

Brea

kd

Students will Identify Parallel, Perpendicular, and Skew Lines.

They will use angle relationships to find angle measures.

of 157 Revised 4/29/2013


Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry Perpendicular lines, parallel lines, skew

lines, adjacent angles, vertical angles,

transversal For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 8: Using Geometry LESSON 4 PROPERTIES OF CIRCLES/CONSTRUCT CIRCLE GRAPHS

Com

mon

Cor

e St

ate

Stan

dard

(s)


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Construct a circle2. Diagram a circle

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es Read Sir Cumference and the Round Table A Math Adventure by Cindy Neuschwander

Students will identify the parts of a circle. As well as draw a circle using given conditions.

Cont

ent

Brea

kdow

n

Students will identify the parts of a circle, draw a circle using given conditions

of 157 Revised 4/29/2013


Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry Circle, center of a circle, arc, radius, diameter, chord,

central angles, sector

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 dayCHAPTER 8: Using Geometry LESSON 5 CLASSIFYING POLYGONS

Com

mon

Cor

e St

ate

Stan

dard

(s)


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Classify polygons

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Identifying polygons, classifying polygons, identifying and classifying regular polygons

Cont

ent

Brea

kdow

n

Identifying polygons, classifying polygons, identifying and classifying regular polygons

of 157 Revised 4/29/2013


Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

Polygon, regular polygon

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 dayCHAPTER 8: Using Geometry LESSON 6 CLASSIFYING TRIANGLES

Com

mon

Cor

e St

ate

Stan

dard

(s)


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Classify TrianglesIdentify Triangles

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Students will Classify and Identify Triangles.

Cont

ent

Brea

kdow

n

Students will Classify and Identify Triangles.

of 157 Revised 4/29/2013


Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry Scalene triangle, isosceles triangle , equilateral triangle,

acute triangle, obtuse triangle, right triangle F

orm

ativ

e A

sses

smen

t


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 8: Using Geometry LESSON 7 CLASSIFYING QUADRILATERALS

Com

mon

Cor

e St

ate

Stan

dard

(s)


Stud

ents

’ Le

arni

ng Classifying

Quadrilaterals

Inst

ruct

iona

l St

rate

gies

/

Classifying Quadrilaterals, and Drawing Quadrilaterals

of 157 Revised 4/29/2013


Targ

et(s

)

Lea

rnin

g Ac

tivi

ties

Cont

ent

Brea

kdow

n

Classifying Quadrilaterals, and Drawing Quadrilaterals

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

Parallelogram, rectangle, rhombus,

square, trapezoid

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 8: Using Geometry LESSON 8 ANGLES IN POLYGONS

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Finding Angle Measures.

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Finding Angle Measures in triangles, finding angle measures in quadrilaterals, drawing triangles to find the sum of interior angles.

Cont

ent

Brea

kdo

wn Finding Angle Measures in triangles, finding

angle measures in quadrilaterals, drawing triangles to find the sum of interior angles.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ryDiagonal

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 dayCHAPTER 8: Using Geometry LESSON 9 CONGRUENT FIGURES

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Identify Congruent figures.

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Identifying congruent figures in the real world, Identifying congruent triangles, using congruence to find unknown measures.

Cont

ent

Brea

kdow

n

Identifying congruent figures in the real world, Identifying congruent triangles, using congruence to find unknown measures.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

rySide-side-side-rule

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 dayCHAPTER 8: Using Geometry LESSON 10 TRANSLATIONS, REFLECTIONS, AND ROTATIONS/ DILATIONS

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Transformations

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Identifying types of transformations, graphing, translations, on a coordinate plane, graphing reflections on a coordinate plane.

Cont

ent

Brea

kdo

wn

Identifying types of transformations, graphing, translations, on a coordinate plane, graphing reflections on a coordinate plane.

Mat

hem

atic

al

Prac

tice

Sta

ndar






cabu

lary Transformation, image,

pre-image, translation, reflection, line of

reflection, rotation

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 8: Using Geometry LESSON 11 SYMMETRY/CREATE TESSELLATIONS of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Symmetry

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Identifying line Symmetry, Rotational symmetry, Social Studies Application

Cont

ent

Brea

kdo

wn Identifying line Symmetry, Rotational

symmetry, Social Studies Application

Mat

hem

atic

al

Prac

tice

Sta

ndar






cabu

lary Line symmetry, line of

symmetry, asymmetry, rotational symmetry,

center of rotation


Lite

racy

St

anda

rd

Follow precisely a multistep procedure when carrying out experiments, taking measurements, or performing technical

tasks.

Time Frame: 1 day

CHAPTER 9: Using Geometry LESSON 1: ACCURACY AND PRECISION

of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s

)G #2: Draw geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Measure with greater accuracy

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Judging precision of measurements, measuring to Varying degrees of accuracy,

estimating measures

Cont

ent

Brea

kdow

n

Judging precision of measurements, measuring to Varying degrees of accuracy,

estimating measures

Mat

hem

atic

al

Prac

tice

Sta

ndar






cabu

lary

Precision, accuracy

For

mat

ive

Ass

essm

ent

9.1-9.5 Quiz Test Chapter 1-9 Test

Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 9: Using Geometry LESSON 2: PERIMETER AND CIRCUMFERENCE

of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es Finding the perimeter of a polygon, using properties of a rectangle to find perimeter, finding the circumference of a circle.


Cont

ent

Brea

kdo

wn

Finding the perimeter of a polygon, using properties of a rectangle to find perimeter, finding the circumference of a circle.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ryPerimeter,

circumference, pi

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 9: Triangles LESSON 3: Area of Parallelograms

of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Finding Area

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Find the area of rectangles, find the length or width of a rectangle, find the Area of a

parallelogram.

Cont

ent

Brea

kdow

n

Find the area of rectangles, find the length or width of a rectangle, find the Area of a

parallelogram

Mat

hem

atic

al

Prac

tice

Sta

ndar






cabu

lary

area

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 9: Triangles LESSON 4: Area of Triangles and Trapezoids

of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Finding Area

Inst

ruct

iona

l St

rate

gies

/ L

earn

ing

Acti

viti

es

Finding the Area of a triangle, and trapezoids

Cont

ent

Brea

kdo

wn Finding the Area of a triangle, and

trapezoids

Mat

hem

atic

al

Prac

tice

Sta

ndar






cabu

lary

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 9: Circles LESSON 5: Area of Circle

of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s

)G #4: Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Area of circles

Inst

ruct

iona

l St

rate

gies

/ L

earn

ing

Acti

viti

es

Find area of a circle, Social Studies Application,

Measurement Application

Cont

ent

Brea

kdo

wn Find area of a circle, Social Studies

Application, Measurement Application

Mat

hem

atic

al

Prac

tice

Sta

ndar






cabu

lary

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 9: Circles LESSON 6: Area of Irregular Figures

of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Area

Inst

ruct

iona

l St

rate

gies

/ L

earn

ing

Acti

viti

es

Read Sir Cumference and the Isle of Immeter by Cindy

NeuschwanderEstimating the area of an

irregular figures, finding the area of a composite figure.

Cont

ent

Brea

kdow

n Estimating the area of an irregular figures, finding the area of a composite figure.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ryComposite figure

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 dayCHAPTER 9: Circles LESSON 7: Squares and Square Roots/Identifying and Graphing Irrational numbers

of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Finding Squares

Inst

ruct

iona

l St

rate

gies

/ L

earn

ing

Acti

viti

es

Finding Squares of numbers, finding square roots of

perfect squares, Estimating Square roots.

Cont

ent

Brea

kd Finding Squares of numbers, finding square roots of perfect squares, Estimating Square

roots.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

Perfect square, square root, radical sign

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 9: Circles LESSON 8: The Pythagorean Theorem

of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(

G #4: Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Calculating the length of a right.

Inst

ruct

iona

l St

rate

gies

/ L

earn

ing

Acti

viti

es

Calculating the length of a side of a right triangle.

Cont

ent

Brea

kdo

wn Calculating the length of a side of a right

triangle.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

Leg, hypotenuse, Pythagorean Theorem

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

of 157 Revised 4/29/2013


CHAPTER 10: Geometric Figures LESSON 1: Introduction to Three-Dimensional FiguresCo

mm

on

Core

Sta

te

Stan

dard

(s)

G #3: Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1Classify three-Dimensional figures.

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Identify the bases and faces of each figure, then name the

figure, Classify three-Dimensional figures.

Cont

ent

Brea

kdo

wn Identify the bases and faces of each figure,

then name the figure, Classify three-Dimensional figures.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

Face Edge Polyhedron Vertex Base Prism Pyramid Cylinder Cone sphere

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

of 157 Revised 4/29/2013


CHAPTER 10 GEOMETRIC FIGURES LESSON 2: Volume of Prisms and Cylinder /Cross Sections/Explore the Volume of Prisms and Cylinders

Com

mon

Co

re S

tate

St

anda

rd(s

)


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Sketch, model, and describe cross-sections formed by a plane passing through a right rectangular prism

2. Find Volume of prisms, cylinders, and composite figures.

Inst

ruct

iona

l St

rate

gies

/ L

earn

ing

Acti

viti

es

Use a Formula to Find the Volume of a Prism, and a

Cylinder, Find the volume of a composite figure

Cont

ent

Brea

kdow

n

Use a Formula to Find the Volume of a Prism, and a Cylinder, Find the volume of a

composite figure

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

Cross sectionvolume

For

mat

ive

Ass

essm

ent


of 157 Revised 4/29/2013


Lite

racy

St

anda


tasks.

Time Frame: 1 day

of 157 Revised 4/29/2013


CHAPTER 10: Geometric Formula LESSON 3: VOLUME OF PYRAMIDS AND CONESCo

mm

on

Core

Sta

te

Stan

dard

(s)


Stud

ents

’ Lea

rnin

g Ta

rget

(s) 1. Explore the volume

of a solid

2. Explore the surface area of a solid

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Read Sir Cumference and the Sword in the Cone

By Cindy Neuschwander.Find the Volume of a Pyramid,

and a cone.

Cont

ent

Brea

kdow

n

Find the Volume of a Pyramid, and a cone.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

of 157 Revised 4/29/2013


CHAPTER 10: Slicing Three-Dimensional Figures LESSON 4: Surface Area of Prisms and Cylinders/ Use Nets to build prisms and cylinders

Com

mon

Co

re S

tate

St

anda

rd(s

)

G#6: Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Stud

ents

’ Lea

rnin

g Ta

rget

(s) 1. Explore the surface

area of a solid

3. Create a net for a concave polyhedron

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Finding the Surface Area of a Prism, and a cylinder.

Cont

ent

Brea

kdow

n Finding the Surface Area of a Prism, and a cylinder.

Mat

hem

atic

al

Prac

tice

Sta

ndar






cabu

lary

Net Surface area Lateral face Lateral area

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.



CHAPTER 10: Three-Dimensional Figures LESSON 5: Surface Area of Pyramids and Cones

Com

mon

Co

re S

tate

St

anda

rd(s

)


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Explore the surface area of a pyramid and a cone

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Finding the Surface Area of a Pyramid, and a cone.

Cont

ent

Brea

kdow

n

Finding the Surface Area of a Pyramid, and a cone.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

volume surface area

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.



CHAPTER 10: Three-Dimensional Figures LESSON 6: Changing Dimensions

Com

mon

Co

re S

tate

St

anda

rd(s

)


Stud

ents

’ Lea

rnin

g Ta

rget

(s) 1. Surface area of

similar figure2. Volume of

similar figures

Inst

ruct

iona

l St

rate

gies

/ L

earn

ing

Acti

viti

es

Finding the Surface Area of a similar figure, and finding the volume using similar figures.

Cont

ent

Brea

kdow

n Finding the Surface Area of a similar figure, and finding the volume using similar figures

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.



CHAPTER 11: PROBABILITY LESSON 1: PROBABILITYCo

mm

on

Core

Sta

te

Stan

dard

(s) SP #5: Understand that the probability of a

chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Probability

Inst

ruct

iona

l St

rate

gies

/ L

earn

ing

Acti

viti

es

Determine the likelihood of an event, Using complements

Cont

ent

Brea

kdow

n Determine the likelihood of an event, Using complements

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

ExperimentTrial

OutcomeEvent

ProbabilitySimple event

Compound eventComplement F

orm

ativ

e A

sses

smen

t


Lite

racy

St

anda


tasks.

Time Frame: 1 dayCHAPTER 11: LESSON 2: Experimental Probability of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s

) SP #5: Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Experimental Probability

Inst

ruct

iona

l St

rate

gies

/ L

earn

ing

Acti

viti

es

Determine Experimental Probability

Cont

ent

Brea

kdo

wn Determine Experimental Probability

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ryExperimental

probability

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 11: Comparing Populations LESSON 3: Sample Spaces of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s

) SP #6: Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. SP #7: Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Sample Space

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Using a Tree Diagram to find a Sample Space, Recreation

Application, and problem solving application

Cont

ent

Brea

kdow

n

Using a Tree Diagram to find a Sample Space

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

rySample space

Fundamental counting principle

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 11: Introduction to Probability LESSON 4: Theoretical Probability/Simulations

of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s

) SP #5: Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

Stud

ents

’ Lea

rnin

g Ta

rget

(s) 1. Differentiate

between outcome and event

2. List the sample space

3. Determine the probability

4. Understand that probability is between 0 and 1

5. Determine the sum of probabilities of outcomes is always 1

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Finding theoretical probability, school

application.

Cont

ent

Brea

kdow

n

Finding theoretical probability, school application.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry Theoretical

probability, equally likely fair

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 dayCHAPTER 11: Introduction to Probability LESSON 5: Making Predicitons of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)

SP #5: Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.SP #6: Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. SP #7: Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.

Stud

ents

’ Lea

rnin

g Ta

rget

(s) 1. Calculate the

experimental and theoretical probability of an experiment

2. Determine the difference between experimental and theoretical probability

3. Use proportional reasoning to predict probability of random events Use proportional reasoning to predict the probability

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Using Experimental Probability to Make

Predictions, Using Theoretical probability to Make

predictions.

Cont

ent

Brea

kdo

wn Using Experimental Probability to Make

Predictions, Using Theoretical probability to Make predictions.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

prediction

For

mat

ive

Ass

essm

ent


of 157 Revised 4/29/2013


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 11: Introduction to Probability LESSON 6: Probability of Independent and Dependent Events

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Use proportional reasoning to predict probability of dependent and independent events

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Determining Whether Events are independent or Dependent, Finding

probability of independent events, and dependent

events.

Cont

ent

Brea

kdow

n

Determining Whether Events are independent or Dependent, Finding

probability of independent events, and dependent events.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry Independent

events Dependent events

For

mat

ive

Ass

essm

ent


of 157 Revised 4/29/2013


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 11: Introduction to Probability LESSON 7: Combinations of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

Combinations

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Use a table to find combinations, problem

solving applications

Cont

ent

Brea

kdow

n Use a table to find combinations, problem solving applications

Mat

hem

atic

al

Prac

tice

Sta

ndar






cabu

lary

combinations

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda

rd


tasks.



CHAPTER 11: Introduction to Probability LESSON 8: PermutationsCo

mm

on C

ore

Stat

e St

anda

rd(s

)

SP #6: Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. SP #7: Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.a. Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. b. Develop a probability model by observing frequencies in data generated from a chance process.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Calculate permutations

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Use a list to find permutations, and use the

fundamental counting principle to find the number

of permutations.

Cont

ent

Br

eak Use a list to find permutations, and use the

fundamental counting principle to find the number of permutations.

Mat

hem

atic

al

Prac

tice

Sta

ndar






cabu

lary

permutation factorial

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.



CHAPTER 12: Solving Equations & Inequalities LESSON 1: Solving Two-Step Equations/Model solving two step equations

Com

mon

Cor

e St

ate

Stan

dard

(s)

EE #3: Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form, using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. EE #4: Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Develop an understanding of equality

2. Use properties of equality to solve equations

3. Solve one-step equations

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Solving Two-Step equations using division, and

multiplication

Cont

ent

Brea

kdow

n

Solving Two-Step equations using division, and multiplication

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry Properties of

Equality

For

mat

ive

Ass

essm

ent


of 157 Revised 4/29/2013


Lite

racy

St

anda


tasks.

Time Frame: 1 day

of 157 Revised 4/29/2013


CHAPTER 12: Solving Equations & Inequalities LESSON 2: Solving Multi-Step EquationsCo

mm

on C

ore

Stat

e St

anda

rd(s

)EE #3: Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form, using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. EE #4: Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Write two-step equations

2. Solve two-step equations

3. Check solutions algebraically

4. Verify solutions within a problem context

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Combining like terms to solve equations, using the

distributive property to solve equations, and problem

solving application.

Cont

ent

Brea

kdow

n

Combining like terms to solve equations, using the distributive property to solve

equations, and problem solving application.

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent


of 157 Revised 4/29/2013


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 12: Solving Equations & Inequalities LESSON 3: Solving Equations with variables on Both sides

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)

EE #1: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.EE #2: Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.EE #3: Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form, using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. EE #4: Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Write two-step equations

2. Solve two-step equations


Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Use inverse operations to group terms with variables,

and solve equations with variables on both sides.

Consumer math application

Cont

ent

Brea

kdow

n

Use inverse operations to group terms with variables, and solve equations with

variables on both sides. Consumer math application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent


of 157 Revised 4/29/2013


Lite

racy

St

anda

rd


tasks.Time Frame: 1 day

CHAPTER 12: Solving Equations & Inequalities LESSON 4: Solving & Graphing Inequalities in One Variable

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)

EE #3: Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form, using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. EE #4: Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. b. Solve word problems leading to inequalities of the form px + q > r or px + q < r. Graph the solution set of the inequality and interpret it in the context of the problem.

Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Write simple inequalities

2. Graph one-variable inequalities

3. Solve one-variable inequalities

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Writing inequalities, and graphing simple inequalities,

and graphing compound inequalities.

Cont

ent

Brea

kdo

wn Writing inequalities, and graphing simple

inequalities, and graphing compound inequalities.

Mat

hem

atic

al

Prac

tice

Sta

ndar

d






Voca

bula

ry Inequality Algebraic

inequality Solution set Compound

inequality

For

mat

ive

Ass

essm

ent


of 157 Revised 4/29/2013


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 12: Solving Problems with Equations & Inequalities LESSON 5: Solving Inequalities by adding or subtracting of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Solve inequalities

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Using the addition property of inequality, using the

subtraction property of inequality and weather

application

Cont

ent

Brea

kdow

n

Using the addition property of inequality, using the subtraction property of inequality

and weather application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent


of 157 Revised 4/29/2013


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 12: Solving Problems with Equations & Inequalities LESSON 6: Solving Inequalities by multiplying or dividing

of 157 Revised 4/29/2013


Com

mon

Co

re S

tate

St

anda

rd(s

) EE #4: Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

Stud

ents

’ Lea

rnin

g Ta

rget

(s) 1. Write and use two-

step equations

2. Compare two problem situations

Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Using the multiplication property of inequality, and

division property of inequality. Agriculture

Application

Cont

ent

Brea

kdow

n

Using the multiplication property of inequality, and division property of inequality. Agriculture Application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

For

mat

ive

Ass

essm

ent


Lite

racy

St

anda


tasks.

Time Frame: 1 day

CHAPTER 12: Solving Problems with Equations & Inequalities LESSON 7: Solving Multi-Step Inequalities

of 157 Revised 4/29/2013


Com

mon

Cor

e St

ate

Stan

dard

(s)


Stud

ents

’ Lea

rnin

g Ta

rget

(s)

1. Solve equations containing fractions

2. Solve equations with variables on both sides


Inst

ruct

iona

l Str

ateg

ies

/ L

earn

ing

Acti

viti

es

Solving Two-Step Inequalities, and Solving Multi-step

Inequalities, and School Application

Cont

ent

Brea

kdow

n

Solving Two-Step Inequalities, and Solving Multi-step Inequalities, and School

Application

Mat

hem

atic

al

Prac

tice

Sta

ndar






Voca

bula

ry

multiplicative inverse

reciprocal

For

mat

ive

Ass

essm

ent


of 157 Revised 4/29/2013


Lite

racy

St

anda


tasks.

Time Frame: 1 day

of 157 Revised 4/29/2013

grade math... · web viewsolve word problems leading to equations of the form px+q = r and p(x + q)...

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