intermediate

Setting up a proportion correctly, scale drawing perimeter and area trap…

Comprehensive AI-generated study curriculum with 2 detailed note modules.

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Course Syllabus

  1. Foundations of Ratio and Proportion
  2. Unit Rates and Applications
  3. Scale Drawing and Scale Factor
  4. Currency and Rate Conversions
  5. Metric and Customary Unit Conversions & Proportional Reasoning

Study Notes

Foundations of Ratio and Proportion

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Example: If you have 3 red apples and 5 green apples, the ratio of red to green apples is 3:5. The ratio of green to red is 5:3. The order matters!

Example: 3:5 is equivalent to 6:10 (both multiplied by 2) or 9:15 (both multiplied by 3).

Example: If a car travels 120 miles in 2 hours, its speed is 60 miles/hour. "60 miles per 1 hour" is the unit rate.

Example: Is 2/3 = 4/6 a proportion? Yes, because 2x2=4 and 3x2=6.

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Unit Rates and Applications

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Formula:
Unit Rate = (Quantity 1) / (Quantity 2)

The units of your unit rate will always be (Units of Quantity 1) per (Unit of Quantity 2).

Example: If you drive 180 miles in 3 hours, your unit rate for speed is:
180 miles / 3 hours = 60 miles per hour

Example:
* Store A: 12 oz of juice for $3.00
* Store B: 16 oz of juice for $3.52

To compare, find the price per ounce for each:
* Store A: $3.00 / 12 oz = $0.25 per oz
* Store B: $3.52 / 16 oz = $0.22 per oz
Store B has the better deal!

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