#### Mathematics

## 7th Grade Illustrative Math Units

##

## Unit 7-1: Scale Drawings

## Unit 7-2: Introducing Proportional Relationships

## Unit 7-3: Measuring Circles

## Unit 7-4: Proportional Relationships and Percentages

## Unit 7-5: Rational Number Arithmetic

## Unit 7-6: Expressions, Equations, and Inequalities

## Unit 7-7: Angles, Triangles, and Prisms

## Unit 7-8: Probability and Sampling

Unit One, Lesson Topic

1 – What is a Scaled Copy?

2 – Corresponding Parts and Scale Factors

3 – Making Scaled Copies

4 – Scaled Relationships

5 – The Size of Scale Factor

6 – Scaling and Area

7 – Scale Drawings

8 – Scale Drawings/Maps

9 – Creating Scale Drawings

10 – Changing Scales in

Scale Drawings

11 – Scales Without Units

12 – Units in Scale Drawings

13 – Draw it to Scale

Unit 1 Review

Khan Academy

Online Practice

Relate scale drawings to area

Scale drawing practice

## Unit One

Unit Two, Lesson Topic

1 – One of These Things

is Not Like the Others

2 – Introducing Proportional Relationships with Tables

3 – More about Constant

of Proportionality

4 – Proportional Relationships and Equations

5 – Two Equations for Each Relationship

6 – Using Equations to Solve Problems

7 – Comparing Relationships

with Tables

8 – Comparing Relationships

with Equations

9 – Solving Problems about Proportional Relationships

10 – Introducing Graphs of Proportional Relationships

11 – Interpreting Graphs of Proportional Relationships

12 – Using Graphs to

Compare Relationships

13 – Two Graphs for

Each Relationship

14 – Four Representations

15 – Using Water Efficiently

Unit 2 Review

Khan Academy

Support Videos

Proportional Relationships:

Movie Tickets

Proportional Relationships:

Bananas

Proportional Relationships:

Spaghetti

Is side length and area

proportional?

Is side length and perimeter proportional?

Unit Three, Lesson Topic

1 – How well can you measure?

2 – Exploring Circles

3 – Exploring Circumference

4 – Applying Circumference

5 – Circumference and Wheels

6 – Estimating Areas

7 – Exploring the Area of a Circle

8 – Relating Area to Circumference

9 – Applying Area of

Circles

10 – Distinguishing Circumference and Area

11 – Stained-Glass Window

Unit 3 Review

Khan Academy

Support Videos

Area of a circle

Khan Academy Online Practice

Shaded areas

Area of parts of circles

Quiz 2

Homework Help

7.3.4 Morgan

7.3.6 Morgan

Unit 3 Review Morgan

Unit Four, Lesson Topic

1 – Lots of Flags

2 – Ratios and Rates with Fractions

3 – Revisiting Proportional Relationships

4 – Half as Much Again

5 – Say it with Decimals

6 – Increasing and Decreasing

7 – One Hundred Percent

8 – Percent Increase and Decrease with Equations

9 – More and Less than 1%

10 – Tax and Tip

11 – Percentage Contexts

12 – Finding the Percentage

13 – Measurement Error

14 – Percent Error

15 – Error Intervals

16 – Posing Percentage Problems

Unit 4 Review

Homework Help

7.4.2 Morgan

7.4.4 Morgan

7.4.14 Morgan

Unit Five, Lesson Topic

1 – Interpreting Negative Numbers

2 -- Changing Temperatures

3 – Changing Elevation

4 – Money and Debts

5 – Representing Subtraction

6 – Subtracting Rational Numbers

7 – Adding and Subtracting to Solve Problems

8 – Position, Speed, and Direction

9 – Multiplying Rational Numbers

10 – Multiply!

11 – Dividing Rational Numbers

12 – Negative Rates

13 – Expressions with Rational Numbers

14 – Solving Problems with Rational Numbers

15 – Solving Equations with Rational Numbers

16 – Representing Contexts with Equations

17 – The Stock Market

Unit 5 Review

Khan Academy

Support Videos

Adding negative numbers example

Adding numbers with different signs

Why a negative times a negative makes sense

Why a negative times a negative is a positive

Substitution with negative numbers

Ordering expressions

Negative signs in fractions

Expressions with rational numbers

Khan Academy Online Practice

Adding negative numbers

Signs of sums

Adding negative numbers on the number line

Number equations and number lines

Interpret negative number addition and subtraction expressions

Adding and subtracting negative fractions

Absolute value to find distance

Adding and subtracting rational numbers

Adding and subtracting negative numbers

Addition and subtraction: find the missing value

Equivalent expressions with negative numbers

Interpreting negative number statements

Negative number addition and subtraction: word problems

Quiz 2

Multiplying and dividing negative number word problems

Quiz 3

Homework Help

7.5.8 Morgan

7.5.12 Morgan

7.5.14 Morgan

Unit Six, Lesson Topic

1 – Relationships between Quantities

2 – Reasoning about Contexts with Tape Diagrams (Part 1)

3 – Reasoning about Contexts with Tape Diagrams (Part 2)

4 – Reasoning about Equations and Tape Diagrams (Part 1)

5 – Reasoning about Equations and Tape Diagrams (Part 2)

6 – Distinguishing between Two Types of Situations

7 – Reasoning about Solving Equations (Part 1)

8 – Reasoning about Solving Equations (Part 2)

9 – Dealing with Negative Numbers

10 – Different Options for Solving One Equation

11 – Using Equations to Solve One Equation

12 – Solving Problems about Percent Increase or Decrease

13 – Reintroducing Inequalities

14 – Finding Solutions to Inequalities in Context

15 – Efficiently Solving Inequalities

16 – Interpreting Inequalities

17 – Modeling with Inequalities

18 – Subtraction in Equivalent Expressions

19 – Expanding and Factoring

20 – Combining Like Terms (Part 1)

21 – Combining Like Terms (Part 2)

22 – Combining Like Terms (Part 3)

Unit 6 Review

Khan Academy

Support Videos

Writing expressions word problems

Equation word problems: super yoga (1 of 2)

Equation word problem: super yoga (2 of 2)

Distributive property with variables

Factoring with the distributive property

Khan Academy Online Practice

Writing expressions word problems

One-step inequalities

Two-step inequalities

Distributive property with variables (negative numbers)

Equivalent expressions with negative numbers (multiplication and division)

Khan Academy Unit 6 Practice Test

Homework Help

7.6.2 Morgan

7.6.4 Morgan

7.6.6 Morgan

7.6.14 Morgan

7.6.20 Morgan

Unit Seven, Lesson Topic

1 – Relationships of Angles

2 – Adjacent Angles

3 – Nonadjacent Angles

4 – Solving for Unknown Angles

5 – Using Equations to Solve for Unknown Angles

6 – Building Polygons (Part 1)

7 – Building Polygons (Part 2)

8 – Triangles with 3 Common Measures

9 – Drawing Triangles (Part 1)

10 – Drawing Triangles (Part 2)

11 – Slicing Solids

12 – Volume of Right Prisms

13 – Decomposing Bases for Area

14 – Surface Area of Right Prisms

15 – Distinguishing Volume and Surface Area

16 – Applying Volume and Surface Area

17 – Building Prisms

Unit 7 Review

Khan Academy

Support Videos

Equation practice with complementary angles

Equation practice with supplementary angles

Khan Academy Online Practice

Unit Eight, Lesson Topic

1 – Mystery Bags

2 – Chance Experiments

3 – What are Probabilities?

4 – Estimating Probabilities Through Repeated Experiments

5 – More Estimating Probabilities

6 – Estimating Probabilities Using Simulation

7 – Simulating Multi-step Experiments

8 – Keeping Track of All Possible Outcomes

9 – Multi-step Experiments

10 – Designing Simulations

11 – Comparing Groups

12 – Larger Populations

13 – What Makes a Good Sample?

14 – Sampling in a Fair Way

15 – Estimating Population Measures of Center

16 – Estimating Population Proportions

17 – More About Sampling Variability

18 – Comparing Populations Using Samples

19 – Comparing Populations with Friends

20 – Memory Test

Unit 8 Review

Khan Academy

Support Videos

Intuitive sense of probabilities

Die rolling probability

Probability of a compound event

Count outcomes using tree diagram

Reasonable samples

Khan Academy Online Practice

Comparing probabilities

Simple probability

Quiz 1

Valid claims

Quiz 3

Homework Help

7.8.4 Morgan

7.8.6 Morgan

7.8.9 Morgan

7.8.10 Morgan

7.8.11 Morgan

7.8.17 Morgan

7.8.18 Morgan

7.8.19 Morgan

7.8.20 Morgan