Ratios & Proportional Relationships
Overview
Build on Grade 6 ratios to work with proportional relationships. You'll compute unit rates from fractions, find the constant of proportionality, and solve percent problems like tax, tips, discounts, and percent change.
Your progress
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About this unit
How to work through it
- Always write the unit rate with its label (miles per hour, dollars per item).
- Identify constant of proportionality k in tables and graphs.
- Percent problems: decide whether you're finding part, whole, or percent first.
- Use ratio tables for every proportion exercise.
- Connect each topic quiz to a homework problem from class.
You should be able to
- Compute unit rates and compare rates.
- Recognize proportional relationships in tables and graphs.
- Solve percent problems including tax, tip, discount, and percent change.
- Set up and solve proportions.
Key words
- Unit rate
- A rate with a denominator of 1, like miles per hour.
- Proportional relationship
- Two quantities with a constant ratio; graphs as a straight line through the origin.
- Constant of proportionality
- The fixed ratio k in the equation y = kx.
- Percent change
- How much a quantity increased or decreased, as a percent of the original.
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