7th grade math (IM® v.360 aligned)

This course contains Khan Academy practice problems crafted to support the IM® v.360 curriculum by Illustrative Mathematics® (IM), licensed under Creative Commons/Attribution/Non-commercial 4.0. Designed to make it easier for districts, teachers, and students to find and use practice problems that complement IM v.360 lessons, this course was not produced in official partnership with Illustrative Mathematics.

8 units214 videos14 hours

Learn it live with a class on Puzzicle · Teachers: use it with your class

Unit 1: Scale drawings

What are scaled copies?

Exploring scale copies ✓ Check-ins1:52

Corresponding parts and scale factors

Making scaled copies

Identifying values in scale copies ✓ Check-ins3:49

Scaled relationships

The size of the scale factor

Scaling and area (optional)

Scale drawings

Scale drawings ✓ Check-ins3:33

Creating scale drawings

Changing scales in scale drawings

Comparing different scales ✓ Check-ins3:53

Scales without units

Interpreting a scale drawing ✓ Check-ins4:26

Units in scale drawings

Unit 2: Introducing proportional relationships

One of these things is not like the other

Introducing proportional relationships with tables

Proportional relationships ✓ Check-ins4:03

More about constant of proportionality

Constant of proportionality from tables ✓ Check-ins2:34

Proportional relationships and equations

Two equations for each relationship

Interpret proportionality constants ✓ Check-ins3:20

Write equations to represent relationships

Writing proportional equations ✓ Check-ins2:10

Comparing relationships with tables

Comparing relationship with equations

Introducing graphs of proportional relationships

Identifying proportional relationships from graphs ✓ Check-ins3:05

Interpreting graphs of proportional relationships

Using graphs to compare relationships

Two graphs for each relationship

Unit 3: Measuring circles

Exploring circles

Labeling parts of a circle ✓ Check-ins2:01

Exploring circumference

Applying circumference

Radius & diameter from circumference ✓ Check-ins3:36

Estimating area

Exploring the area of a circle

Relating area to circumference

Applying area to circles

Unit 4: Proportional relationships and percentages

Ratios and rates with fractions

Rates with fractions ✓ Check-ins5:07

Revisiting proportional relationships

More than that, less than that

Say it with decimals

Increasing or decreasing

One hundred percent

Rational number word problem: ice ✓ Check-ins3:21

Percent increase and decrease with equations

Solving percent problems ✓ Check-ins6:17

Part of a percent

Tax and tip

Interpreting linear expressions: diamonds ✓ Check-ins1:52

Percentage contexts

Solve multi-step percentage problems

Percent error

Unit 5: Rational number arithmetic

Interpreting negative numbers

Changing temperatures

Changing elevation

Money and debts

Representing subtraction

Adding the opposite with number lines ✓ Check-ins4:57

Finding differences

Adding and subtracting to solve problems

Multiplying rational numbers (part 1)

Multiplying rational numbers (part 2)

Multiply! (optional)

Multiplying positive and negative fractions ✓ Check-ins4:33

Dividing rational numbers

Negative rates

Interpreting multiplication & division of negative numbers ✓ Check-ins4:35

Expressions with rational numbers

Solving problems with rational numbers

Solving equations with rational numbers

Representing contexts with equations

Unit 6: Expressions, equations, and inequalities

Reasoning about equations and tape diagrams (part 1)

Reasoning about equations and tape diagrams (part 2)

Distinguishing between two types of situations

Interpreting linear expressions: flowers ✓ Check-ins2:02

Reasoning about solving equations (part 1)

Intro to two-step equations ✓ Check-ins5:12

Dealing with negative numbers

Different options for solving one equations

Using equations to solve problems

Efficiently solving inequalities

Modeling with inequalities

Two-step inequality word problem: R&B ✓ Check-ins2:01

Subtraction with equivalent expressions

Adding and subtracting fractions with negatives ✓ Check-ins3:45

Expanding and factoring

Combining like terms (part 1)

Combining like terms with negative coefficients ✓ Check-ins4:39

Combining like terms (part 2)

Unit 7: Angles, triangles, and prisms

Relationships of angles

Adjacent angles

Complementary & supplementary angles ✓ Check-ins8:31

Nonadjacent angles

Vertical angles ✓ Check-ins7:19

Solving for unknown angles

Find measure of angles word problem ✓ Check-ins4:34

Using equations to solve for unknown angles

Building polygons (part 2)

Triangles with 3 common measures

Drawing triangles (part 2)

Slicing solids

Slicing a rectangular pyramid ✓ Check-ins3:30

Volume of right prisms

Decomposing bases for area

Volume through decomposition ✓ Check-ins3:49

Surface area of right prisms

Surface area using a net: rectangular prism ✓ Check-ins4:19

Distinguishing volume and surface area

Unit 8: Probability and sampling

Mystery bags

Chance experiments

What are probabilities?

Intro to theoretical probability ✓ Check-ins8:18

Estimating probabilities through repeated experiments

More estimating probabilities

Estimating probabilities using simulation

Identifying valid simulations ✓ Check-ins2:56

Simulating multi-step experiments

Keeping track of all possible outcomes

Multi-step experiments

Comparing groups

Sampling in a fair way

What makes a good sample?

Reasonable samples ✓ Check-ins4:17

Estimating population proportions

Estimating a population count from a random sample2:37

Comparing populations with friends

Learn this with a class

With a class on Puzzicle this course runs as a timetable of live study parties: your batch watches together and answers the check-ins, sometimes with a teacher leading.

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