7th grade (Illustrative Mathematics)
Categories: Mathematics, Sciences
Course Content
Unit 1: Scale drawings

Lesson 1: What are scaled copies?

Exploring scale copies

Lesson 2: Corresponding parts and scale factors

Identifying corresponding parts of scaled copies

Identifying scale copies

Identifying scale factor in drawings

Lesson 5: The size of the scale factor

Interpreting scale factors in drawings

Scale factors and area

Lesson 6: Scaling and area

Lesson 7: Scale drawings

Scale drawings

Lesson 9: Creating scale drawings

Creating scale drawings

Lesson 11: Scales without units

Interpreting a scale drawing

Lesson 12: Units in scale drawings

Solving a scale drawing word problem
Unit 2: Introducing proportional relationships

Lesson 3: More about constant of proportionality

Constant of proportionality from tables

Lesson 4: Proportional relationships and equations

Identifying the constant of proportionality from equation

Constant of proportionality from table (with equations)

Equations for proportional relationships

Writing proportional equations from tables

Lesson 5: Two equations for each relationship

Interpret proportionality constants

Lesson 6: Using equations to solve problems

Writing proportional equations

Lesson 7: Comparing relationships with tables

Proportional relationships: movie tickets

Proportional relationships: bananas

Proportional relationships: spaghetti

Is side length & area proportional?

Is side length & perimeter proportional?

Lesson 9: Solving problems about proportional relationships

Comparing proportionality constants

Lesson 10: Introducing graphs of proportional relationships

Identifying proportional relationships from graphs

Lesson 11: Interpreting graphs of proportional relationships

Constant of proportionality from graph

Interpreting graphs of proportional relationships

Lesson 12: Using graphs to compare relationships

Comparing constants of proportionality

Lesson 2: Exploring circles

Labeling parts of a circle
Unit 3: Measuring circles

Lesson 3: Exploring circumference

Radius, diameter, circumference & π

Lesson 8: Relating area to circumference

Area of a circle

Lesson 9: Applying area to circles

Area of a shaded region

Partial circle area and arc length

Radius & diameter from circumference

Lesson 5: Say it with decimals

Fraction to decimal: 11/25

Worked example: Converting a fraction (7/8) to a decima

Lesson 7: One hundred percent

Rational number word problem: ice
Unit 4: Proportional relationships and percentages

Lesson 10: Tax and tip

Interpreting linear expressions: diamonds

Lesson 11: Percentage contexts

Percent word problem: guavas

Percent word problems: tax and discount

Lesson 1: Interpreting negative numbers

Missing numbers on the number line examples

Comparing rational numbers

Lesson 2: Changing temperatures

Adding negative numbers example

Adding numbers with different signs

Lesson 3: Changing elevation

Adding negative numbers on the number line

Number equations & number lines

Adding fractions with different signs
Unit 5: Rational number arithmetic

Lesson 4: Money and debts

Rational number word problem: checking account

Lesson 5: Representing subtraction

Adding & subtracting negative numbers

Lesson 6: Subtracting rational numbers

Interpreting numeric expressions example

Absolute value as distance between numbers

Lesson 7: Adding and subtracting to solve problems

Interpreting negative number statements

Negative number word problem: Alaska

Lesson 9: Multiplying rational numbers

Why a negative times a negative makes sense

Why a negative times a negative is a positive

Lesson 10: Multiply!

Multiplying positive and negative fractions

Lesson 11: Dividing rational numbers

Dividing positive and negative numbers

Dividing negative fractions

Lesson 12: Negative rates

Interpreting multiplication & division of negative numbers

Lesson 13: Expressions with rational numbers

Substitution with negative numbers

Ordering expressions

Negative signs in fractions

Expressions with rational numbers

Lesson 14: Solving problems with rational numbers

Intro to order of operations

Rational number word problem: cab

Lesson 4: Reasoning about equations and tape diagrams (part 1)

Writing expressions word problems

Equation word problem: super yoga (1 of 2)

Equation word problem: super yoga (2 of 2)

Lesson 6: Distinguishing between two types of situations

Interpreting linear expressions: flowers

Lesson 7: Reasoning about solving equations (part 1)

Intro to twostep equations

Lesson 9: Dealing with negative numbers

Twostep equations intuition

Worked example: twostep equations
Unit 6: Expressions, equations, and inequalities

Lesson 10: Different options for solving one equations

Twostep equations with decimals and fractions

Find the mistake: twostep equations

Lesson 11: Using equations to solve problems

Twostep equation word problem: computers

Twostep equation word problem: oranges

Lesson 13: Reintroducing inequalities

Testing solutions to inequalities

Lesson 17: Modeling with inequalities

Twostep inequality word problem: R&B

Lesson 18: Subtraction with equivalent expressions

Adding & subtracting fractions

Lesson 19: Expanding and factoring

Distributive property with variables

Factoring with the distributive property

Lesson 21: Combining like terms (part 2)

Simplifying expressions

Equivalent expressions: negative numbers & distribution

Lesson 22: Combining like terms (part 3)

Simplifying expressions with rational numbers

Lesson 1: Relationships of angles

Angles: introduction

Lesson 2: Adjacent angles

Complementary & supplementary angles

Lesson 3: Nonadjacent angles

Vertical angles

Lesson 5: Using equations to solve for unknown angles

Equation practice with complementary angles

Equation practice with supplementary angles

Lesson 7: Building polygons (part 2)

Construct a triangle with constraints

Triangle inequality theorem
Unit 7: Angles, triangles, and prisms

Lesson 10: Drawing triangles (part 2)

Construct a right isosceles triangle

Lesson 11: Slicing solids

Slicing a rectangular pyramid

Lesson 12: Volume of right prisms

Volume of triangular prism & cube

Lesson 2: Chance experiments

Intuitive sense of probabilities

Lesson 3: What are probabilities?

Intro to theoretical probability

Lesson 4: Estimating probabilities through repeated experiments

Experimental probability

Theoretical and experimental probabilities

Making predictions with probability

Probability models example: frozen yogurt

Lesson 5: More estimating probabilities

Simple probability: yellow marble

Simple probability: nonblue marble

Lesson 8: Keeping track of all possible outcomes

Sample spaces for compound events

Counting outcomes: flower pots

Lesson 9: Multistep experiments

Die rolling probability

Probability of a compound event

Count outcomes using tree diagram
Unit 8: Probability and sampling

Lesson 11: Comparing groups

Comparing distributions with dot plots (example problem)

Lesson 14: Sampling in a fair way

Reasonable samples
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