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Math · Grade 7 Math · Unit 4

Unit 4: Proportional Relationships and Percentages

Students deepen their understanding of proportional relationships and percentages, solving multi-step problems and working with situations that involve fractional amounts.

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Practice

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Set 2
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Advanced

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What this unit covers

A Proportional Relationships with Fractions · 5 lessons
Goals
  • Create algebraic expressions that represent a situation involving adding or subtracting a fraction of the initial value.
  • Solve problems about proportional relationships with fractional quantities.
  • Use long division to generate a decimal representation of a fraction.
Lessons
  1. Lots of Flags
  2. Ratios and Rates with Fractions
  3. Revisiting Proportional Relationships
  4. More than That, Less than That
  5. Say It with Decimals
B Percent Increase and Decrease · 4 lessons
Goals
  • Create algebraic expressions or equations that represent a situation involving percent increase or decrease.
  • Use diagrams to solve problems involving percent increase or decrease.
Lessons
  1. Increasing and Decreasing
  2. One Hundred Percent
  3. Percent Increase and Decrease with Equations
  4. Part of a Percent
C Applying Percentages · 5 lessons
Goals
  • Calculate measurement error, and express it as a percentage of the actual value.
  • Solve problems involving tax, tip, simple interest, markup, markdown, or commission.
Lessons
  1. Tax and Tip
  2. Percentage Contexts
  3. Solving Multi-step Percentage Problems
  4. Measurement Error
  5. Percent Error
D Let’s Put It to Work · 2 lessons
Lessons
  1. Changes on the Earth (Optional)
  2. Posing Percentage Problems

Helpful to know first

The curriculum says this unit builds on these.

Grade 6 Math · Unit 2 Introducing Ratios
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Grade 6 Math · Unit 3 Unit Rates and Percentages
Open unit →
Grade 7 Math · Unit 2 Introducing Proportional Relationships
Open unit →
← Unit 3 See the whole map Next: Unit 5 · Rational Number Arithmetic →

Adapted from the Illustrative Mathematics curriculum (v.360), licensed CC BY-NC 4.0. © Illustrative Mathematics.