Math 7

Unit 1: Scale Drawings

Grade 7 Illustrative Mathematics – Unit 1: Scale Drawings

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1 – What is a Scaled Copy?

Lesson 1

Explore Scaled Copies

Practice scaled copies

 

7.1.1 Morgan

2 – Corresponding Parts and Scale Factors

Lesson 2

Identifying Corresponding Parts of Scaled Copies

 

Identify Scale Copies

 

Identify Scale Factor in Drawings

 

Corresponding Sides and Parts

 

Identify Scale Copies

 

Identify Scale Factor

 

7.1.2 Morgan

3 – Making Scaled Copies

Lesson 3

 

Scale Copies

 

7.1.3 Morgan

4 – Scaled Relationships

Lesson 4

 

 

 

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5 – The Size of the Scale Factor

Lesson 5

Identify Scale Factors

Scale Factors in Drawings

 

7.1.5 Morgan

6 – Scaling and Area

Lesson 6

Scale Factors and Area

Relate scale drawings to area

 

7.1.6 Morgan

 

Mid Unit Practice

7 – Scale Drawings

Lesson 7

Scale Drawings

Scale Drawing Practice

 

7.1.7 Morgan

8 – Scale Drawings and Maps

Lesson 8

 

 

 

7.1.8 Morgan

9 – Creating Scale Drawings

Lesson 9

Creating Scale Drawings

Construct Scale Drawings

 

7.1.9 Morgan

10 – Changing Scales in Scale Drawings

Lesson 10

 

 

 

7.1.10 Morgan

11 – Scales Without Units

Lesson 11

Interpreting Scale Drawings

Scale drawing word problem practice

 

7.1.11 Morgan

12 – Units in Scale Drawings

Lesson 12

Scale Drawing Word Problems

 

Solving a Scale Drawing Word Problem

 

 

7.1.12 Morgan

13 – Draw it to Scale

Lesson 13

 

 

 

 

Unit 1 Review

 

 

Khan Aca. Unit 1 Test

 

 

Unit 2: Introducing Proportional Relationships

Grade 7 Illustrative Mathematics – Unit 2: Introducing Proportional Relationships

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1 – One of These Things is Not Like the Others

Lesson 1

 

 

 

7.2.1 Morgan

2 – Introducing Proportional Relationships with Tables

Lesson 2

 

Proportional Relationships

 

7.2.2 Morgan

3 – More about Constant of Proportionality

Lesson 3

Constant of Proportionality from Tables

Constant of Proportionality from Tables

 

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4 – Proportional Relationships and Equations

Lesson 4

Identifying the Constant of Proportionality

 

Constant of Proportionality From Tables

 

Equations for Proportional Relationships

 

Writing Proportional Equations

Constant of Proportionality from Equations

 

Constant of Proportionality from Tables (with equations)

 

Writing proportional equations from tables

 

7.2.4 Morgan

5 – Two Equations for Each Relationship

Lesson 5

Interpret proportionality constants

Interpret Constants of Proportionality

 

7.2.5 Morgan

6 – Using Equations to Solve Problems

Lesson 6

 

Interpret Two Step Equation Word Problems

 

Writing Proportional Equations

 

7.2.6 Morgan

7 – Comparing Relationships with Tables

Lesson 7

Proportional Relationships: Movie Tickets

 

Proportional Relationships: Bananas

 

Proportional Relationships: Spaghetti

 

Is side length and area proportional?

 

Is side length and perimeter proportional?

Identify Proportional Relationships

 

7.2.7 Morgan

8 – Comparing Relationships with Equations

Lesson 8

 

 

 

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9 – Solving Problems about Proportional Relationships

Lesson 9

Solving Proportionality Constants

Mid-unit Practice Quiz

 

7.2.9 Morgan

10 – Introducing Graphs of Proportional Relationships

Lesson 10

Identifying Proportional Relationship from Graphs

Identify Proportional Relationships from Graphs

 

7.2.10 Morgan

11 – Interpreting Graphs of Proportional Relationships

Lesson 11

Constant of Proportionality from Graphs

 

Interpreting Graphs of Proportional Relationships

Constant of Proportionality from Graphs

 

Interpreting Graphs of Proportional Relationships

 

7.2.11 Morgan

12 – Using Graphs to Compare Relationships

Lesson 12

Comparing Constants of Proportionality

Comparing Constants of Proportionality

 

7.2.12 Morgan

13 – Two Graphs for Each Relationship

Lesson 13

 

Interpret Constant of Proportionality in Graphs

 

Quiz Number 2

 

7.2.13 Morgan

14 – Four Representations

Lesson 14

 

 

 

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15 – Using Water Efficiently

Lesson 15

 

 

 

 

Unit 2 Review

 

 

Khan Aca Unit 2 Test

 

 

Unit 3: Measuring Circles

Grade 7 Illustrative Mathematics – Unit 3: Measuring Circles

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1 – How well can you measure?

Lesson 1

 

 

 

7.3.1 Morgan

2 – Exploring Circles

Lesson 2

Labeling part of a circle

Radius and diameter

 

7.3.2 Morgan

3 – Exploring Circumference

Lesson 3

Radius, diameter, circumference and pi

 

 

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4 – Applying Circumference

Lesson 4

 

Circumference of a circle

 

Circumference of parts of circles

 

7.3.4 Morgan

5 – Circumference and Wheels

Lesson 5

 

Circumference and rotations

 

Quiz 1

 

7.3.5 Morgan

6 – Estimating Areas

Lesson 6

 

 

 

7.3.6 Morgan

7 – Exploring the Area of a Circle

Lesson 7

 

 

 

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8 – Relating Area to Circumference

Lesson 8

Area of a circle

Area of a circle

 

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9 – Applying Area of Circles

Lesson 9

Area of a shaded region

 

Partial circle area and arc length

 

Radius and diameter from circumference

Shaded areas

 

Area of parts of circles

 

Quiz 2

 

7.3.9 Morgan

10 – Distinguishing Circumference and Area

Lesson 10

 

Area and circumference of circles challenge

 

7.3.10 Morgan

11 – Stained-Glass Window

Lesson 11

 

 

 

7.3.11 Morgan

Unit 3 Review

 

 

Khan Academy Unit Test

 

 

Unit 4: Proportional Relationships and Percentages

Mathematics – Unit 4: Proportional Relationships and Percentages

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1 – Lots of Flags

Lesson 1

 

 

 

7.4.1 Morgan

2 – Ratios and Rates with Fractions

Lesson 2

 

Rates with fractions

 

7.4.2 Morgan

3 – Revisiting Proportional Relationships

Lesson 3

 

Proportion word problems

 

7.4.3 Morgan

4 – Half as Much Again

Lesson 4

 

 

 

7.4.4 Morgan

5 – Say it with Decimals

Lesson 5

Fraction to Decimal: 11/25

 

Worked Example: Converting a fraction (7/8) to a decimal

Converting fractions to decimals

 

 

Quiz 1

 

7.4.5 Morgan

6 – Increasing and Decreasing

Lesson 6

 

 

 

7.4.6 Morgan

7 – One Hundred Percent

Lesson 7

Rational number word problem: ice

Percent Problems

 

7.4.7 Morgan

8 – Percent Increase and Decrease with Equations

Lesson 8

 

Equivalent expressions with percent problems

 

7.4.8 Morgan

9 – More and Less than 1%

Lesson 9

 

 

 

7.4.9 Morgan

10 – Tax and Tip

Lesson 10

Interpreting linear expressions: diamonds

Tax and tip word problems

 

7.4.10 Morgan

11 – Percentage Contexts

Lesson 11

Percent word problem: guavas

 

Percent word problems: tax and discount

Discount, markup, and commission word problems

 

Quiz 2

 

 

 

7.4.11 Morgan

12 – Finding the Percentage

Lesson 12

 

 

 

7.4.12 Morgan

13 – Measurement Error

Lesson 13

 

 

 

7.4.13 Morgan

14 – Percent Error

Lesson 14

 

 

 

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15 – Error Intervals

Lesson 15

 

 

 

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16 – Posing Percentage Problems

Lesson 16

 

 

 

 

Unit 4 Review

 

 

Khan Academy Unit 4 Test

 

 

Unit 5: Rational Number Arithmetic

Grade 7 Illustrative Mathematics – Unit 5: Rational Number Arithmetic

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Lesson 1 – Interpreting Negative Numbers

Lesson 1

Missing numbers on the number line examples

 

Comparing rational numbers

Missing numbers on the number line

 

Order rational numbers

 

Quiz 1

 

7.5.1 Morgan

Lesson 2 – Changing Temperatures

Lesson 2

Adding negative numbers example

 

Adding numbers with different signs

Adding negative numbers

 

7.5.2 Morgan

Lesson 3 – Changing Elevation

Lesson 3

Adding negative numbers on the number line

 

Number equations and number lines

 

Adding fractions with different signs

Signs of sums

 

Adding negative numbers on the number line

 

Number equations and number lines

 

7.5.3 Morgan

Lesson 4 – Money and Debts

Lesson 4

Rational number word problems: checking account

 

 

7.5.4 Morgan

Lesson 5 – Representing Subtraction

Lesson 5

Adding and subtracting negative numbers

Understand subtraction as adding the opposite

 

Subtracting negative numbers

 

7.5.5 Morgan

Lesson 6 – Subtracting Rational Numbers

Lesson 6

Interpreting numeric expressions example

 

Absolute value as distance between numbers

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

 

7.5.6 Morgan

Lesson 7 – Adding and Subtracting to Solve Problems

Lesson 7

Interpreting negative number statements

 

Negative number word problems: Alaska

Interpreting negative number statements

 

Negative number addition and subtraction: word problems

 

Quiz 2

 

7.5.7 Morgan

Unit 6: Expressions, Equations, and Inequalities

Grade 7 Illustrative Mathematics – Unit 6: Expressions, Equations, and Inequalities

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Lesson 1 – Relationships between Quantities

Lesson 1

 

 

 

7.6.1 Morgan

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

Lesson 2

 

 

 

7.6.2 Morgan

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

Lesson 3

 

 

 

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

Lesson 4

Writing expressions word problems

 

Equation word problems: super yoga (1 of 2)

 

Equation word problem: super yoga (2 of 2)

Writing expressions word problems

 

7.6.4 Morgan

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

Lesson 5

 

 

 

7.6.5 Morgan

Lesson 6 – Distinguishing between Two Types of Situations

Lesson 6

Interpreting linear expressions: flowers

Interpreting linear expressions

 

7.6.6 Morgan

Lesson 7 – Reasoning about Solving Equations (Part 1)

Lesson 7

Intro to two-step equations

 

 

7.6.7 Morgan

Lesson 8 – Reasoning about Solving Equations (Part 2)

Lesson 8

 

 

 

7.6.8 Morgan

Lesson 9 – Dealing with Negative Numbers

Lesson 9

Two-step equations intuition

 

Worked example: two-step equations

Two-step equations

 

7.6.9 Morgan

Lesson 10 – Different Options for Solving One Equation

Lesson 10

Two-step equations with decimals and fractions

 

Find the mistake: two-step equations

Two-step equations with decimals and fractions

 

Find the mistake: two-step equations

 

7.6.10 Morgan

Lesson 11 – Using Equations to Solve One Equation

Lesson 11

Two-step equation word problems: computers

 

Two-step equation word problem: oranges

Two-step equations word problems

 

Quiz 1

 

7.6.11 Morgan

Lesson 12 – Solving Problems about Percent Increase or Decrease

Lesson 12

 

 

 

7.6.12 Morgan

Lesson 13 – Reintroducing Inequalities

Lesson 13

Testing solutions to inequalities

Testing solutions to inequalities

 

7.6.13 Morgan

Lesson 14 – Finding Solutions to Inequalities in Context

Lesson 14

 

 

 

7.6.14 Morgan

Lesson 15 – Efficiently Solving Inequalities

Lesson 15

 

One-step inequalities

 

Two-step inequalities

 

7.6.15 Morgan

Lesson 16 – Interpreting Inequalities

Lesson 16

 

 

 

7.6.16 Morgan

Lesson 17 – Modeling with Inequalities

Lesson 17

Two-step inequality word problem: R&B

Two-step inequality word problems

 

Quiz 2

 

7.6.17 Morgan

Lesson 18 – Subtraction in Equivalent Expressions

Lesson 18

Adding and Subtracting fractions

 

 

7.6.18 Morgan

Lesson 19 – Expanding and Factoring

Lesson 19

Distributive property with variables

 

Factoring with the distributive property

Distributive property with variables (negative numbers)

 

Equivalent expressions with negative numbers (multiplication and division)

 

7.6.19 Morgan

Lesson 20 – Combining Like Terms (Part 1)

Lesson 20

 

Combining like terms with negative coefficients

 

7.6.20 Morgan

Lesson 21 – Combining Like Terms (Part 2)

Lesson 21

Simplifying expressions

 

Equivalent expressions: negative numbers and distribution

Combining like terms with negative coefficients and distribution

 

Equivalent expressions: negative numbers and distribution

 

7.6.21 Morgan

Lesson 22 – Combining Like Terms (Part 3)

Lesson 22

Simplifying expression with rational numbers

Combining like terms with rational coefficients

 

Quiz 3

 

7.6.22 Morgan

Unit 7 Review

 

 

Khan Academy Unit 7 Practice Test

 

 

Unit 7: Angles, Triangles, and Prisms

Grade 7 Illustrative Mathematics – Unit 7: Angles, Triangles, and Prisms

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Lesson 1 – Relationships of Angles

Lesson 1

Angles: Introduction

Name angles

 

7.7.1 Morgan

Lesson 2 – Adjacent Angles

Lesson 2

Complementary & supplementary angles

Complementary and supplementary angles (visual)

 

Complementary and supplementary angles (no visual)

 

7.7.2 Morgan

Lesson 3 – Nonadjacent Angles

Lesson 3

Vertical angles

Identifying supplementary, complementary, and vertical angles

 

Vertical angles

 

Finding missing angles

 

Finding angle measures between intersecting lines

 

7.7.3 Morgan

Lesson 4 – Solving for Unknown Angles

Lesson 4

 

 

 

7.7.4 Morgan

Lesson 5 – Using Equations to Solve for Unknown Angles

Lesson 5

Equation practice with complementary angles

 

Equation practice with supplementary angles

Create equations to solve for missing angles

 

Unknown angle problems (with algebra)

 

Quiz 1

 

7.7.5 Morgan

Lesson 6 – Building Polygons (Part 1)

Lesson 6

 

 

 

7.7.6 Morgan

Lesson 7 – Building Polygons (Part 2)

Lesson 7

Construct a triangle with constraints

 

Triangle inequality theorem

Triangle side length rules

 

7.7.7 Morgan

Lesson 8 – Triangles with 3 Common Measures

Lesson 8

 

 

 

7.7.8 Morgan

Lesson 9 – Drawing Triangles (Part 1)

Lesson 9

 

 

 

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Lesson 10 – Drawing Triangles (Part 2)

Lesson 10

Construct a right isosceles triangle

 

 

7.7.10 Morgan

Lesson 11 – Slicing Solids

Lesson 11

Slicing a rectangular pyramid

Cross sections of 3D objects (basic)

 

7.7.11 Morgan

Lesson 12 – Volume of Right Prisms

Lesson 12

Volume of triangular prism and cube

 

 

7.7.12 Morgan

Lesson 13 – Decomposing Bases for Area

Lesson 13

 

 

 

7.7.13 Morgan

Lesson 14 – Surface Area of Right Prisms

Lesson 14

 

 

 

7.7.14 Morgan

Lesson 15 – Distinguishing Volume and Surface Area

Lesson 15

 

Volume and surface area word problems

 

Quiz 2

 

7.7.15 Morgan

Lesson 16 – Applying Volume and Surface Area

Lesson 16

 

 

 

7.7.16 Morgan

Lesson 17 – Building Prisms

Lesson 17

 

 

 

7.7.17 Morgan

Unit 7 Review

 

 

Khan Academy Unit 7 Practice Test

 

 

Unit 8: Probability and Sampling

Grade 7 Illustrative Mathematics – Unit 8: Probability and Sampling

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Lesson 1 – Mystery Bags

Lesson 1

 

 

 

7.8.1 Morgan

Lesson 2 – Chance Experiments

Lesson 2

Intuitive sense of probabilities

Comparing probabilities

 

7.8.2 Morgan

Lesson 3 – What are Probabilities?

Lesson 3

Intro to theoretical probability

Simple probability

 

7.8.3 Morgan

Lesson 4 – Estimating Probabilities Through Repeated Experiments

Lesson 4

Experimental probability

 

Theoretical and experimental probability

 

Making predictions with probability

 

Probability models example: frozen yogurt

Experimental probability

 

Making predictions with probability

 

Probability models

 

7.8.4 Morgan

Lesson 5 – More Estimating Probabilities

Lesson 5

Simple probability: yellow marble

 

Simple probability: non-blue marble

Simple probability

 

Quiz 1

 

7.8.5 Morgan

Lesson 6 – Estimating Probabilities Using Simulation

Lesson 6

 

 

 

7.8.6 Morgan

Lesson 7 – Simulating Multi-step Experiments

Lesson 7

 

 

 

7.8.7 Morgan

Lesson 8 – Keeping Track of All Possible Outcomes

Lesson 8

Sample spaces for compound events

 

Counting outcomes: flower pots

Sample spaces for compound events

 

7.8.8 Morgan

Lesson 9 – Multi-step Experiments

Lesson 9

Die rolling probability

 

Probability of a compound event

 

Count outcomes using tree diagram

Probabilities of compound events

 

Quiz 2

 

7.8.9 Morgan

Lesson 10 – Designing Simulations

Lesson 10

 

 

 

7.8.10 Morgan

Lesson 11 – Comparing Groups

Lesson 11

Comparing distributions with dot plots (example problems)

Comparing distributions

 

7.8.11 Morgan

Lesson 12 – Larger Populations

Lesson 12

 

 

 

7.8.12 Morgan

Lesson 13 – What Makes a Good Sample?

Lesson 13

 

 

 

7.8.13 Morgan

Lesson 14 – Sampling in a Fair Way

Lesson 14

Reasonable samples

Valid claims

 

Quiz 3

 

7.8.14 Morgan

Lesson 15 – Estimating Population Measures of Center

Lesson 15

 

 

 

7.8.15 Morgan

Lesson 16 – Estimating Population Proportions

Lesson 16

 

Valid claims

 

Making inferences from random samples

 

Quiz 4

 

7.8.16 Morgan

Lesson 17 – More About Sampling Variability

Lesson 17

 

 

 

7.8.17 Morgan

Lesson 18 – Comparing Populations Using Samples

Lesson 18

 

 

 

7.8.18 Morgan

Lesson 19 – Comparing Populations with Friends

Lesson 19

 

 

 

7.8.19 Morgan

Lesson 20 – Memory Test

Lesson 20

 

 

 

7.8.20 Morgan

Unit 8 Review

 

 

Khan Academy Unit 8 Practice Test