Identify a proportional relationship and scale it consistently. Use a unit rate or equivalent ratios while keeping the meaning and units of both quantities clear.
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Ratios & percentages
Compare quantities, scale a relationship, and identify the base behind a percentage. Work through proportions and percentage changes with the units kept visible.
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Explore ratios & percentages
Interpret a percentage as a fraction of a stated base. Calculate a percentage amount and a percentage change without confusing the original and final values.
What you’ll learn
- Find and interpret a unit rate.
- Scale both quantities while preserving a proportional relationship.
- Identify the original amount before calculating a percentage change.
A ratio compares quantities
A ratio such as 2:3 compares two quantities in a stated order. A proportion says that two ratios are equivalent. Before scaling, identify what each number represents and whether the relationship really stays proportional.
Percent means a share of a stated base
A percentage compares an amount with a base of one hundred equal parts. The base matters: a 20% increase from 80 and a 20% decrease from 96 do not reverse each other.
Use the relationship in context
Recipes, scale drawings, unit prices, and percentage changes provide useful examples. Keep units and assumptions visible; a fixed fee or changing rate can make a simple proportional model inappropriate.
Keep exploring
ProportionsIdentify a proportional relationship and scale it consistently. Use a unit rate or equivalent ratios while keeping the meaning and units of both quantities clear.PercentagesInterpret a percentage as a fraction of a stated base. Calculate a percentage amount and a percentage change without confusing the original and final values.Right-triangle ratiosChoose the reference angle and identify the right sides before using sine, cosine, or tangent. Connect each ratio to similar right triangles.
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