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Proportional Reasoning

Understand ratios and proportional relationships using visuals and your intuition.

30 Lessons339 Exercises

Setting Up Ratios

Scaling Up

Scaling Down

Making a New Mixture

Level Review

Scaling Up Recipes

Making Batches

Finding Batches

Scale Factor

Level Review

Scaling Down to Scale Up

Scaling in One Move

Finding the Total

Finding the Parts

Level Review

How Much for One

Computing Unit Rates

Two Unit Rates

Scaling Down to Scale Up

Using Unit Rates

Level Review

Using Unit Rates to Find Cost

Finding Unit Cost

Comparing Rates

Level Review

Plotting Points

Plotting Equivalent Ratios

Using Graphs

Plotting Unit Rate

Graphing Relationships

Constant of Proportionality

Writing Equations

Equation from a Point

Graphing from an Equation

Graphing Comparisons

Up next

Negative Numbers

Learn the foundations of arithmetic with negative numbers.

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Course description

Through mixing paints, mixing juice drinks, and reasoning about the price of goods and services, you'll build understanding of scaling ratios up and down. You'll develop the powerful tools of graphs and equations for describing these situations.


Topics covered

  • Equivalent Ratios
  • Scaling Ratios
  • Unit Rates
  • Graphs of Proportional Relationships
  • Equations for Proportional Relationships

Prerequisites and next steps

This course is for anyone ready for a refresher and new challenges on core concepts.