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7th grade · Math · Unit 5 of 17

Percents & Proportions

Increase, decrease and proportional

What your child practices

Knowing common fraction, decimal and percent equivalents, increasing and decreasing numbers by 1%, 5%, 10%, 25%, 50% and 100%, and deciding whether a relationship is proportional.

Washington State Learning Standards learning standard: M.7.R.RP.2; M.7.R.RP.3 · proportional relationships and percent increase and decrease

How we explain it

Children can open this short lesson before they practice.

  1. Know common matches: 1/2 = 0.5 = 50%, 1/4 = 0.25 = 25%.
  2. To increase by a percent, multiply by 1 plus the percent as a decimal.
  3. A proportion says two ratios are equal.

Example: Increase 80 by 25%. 25% of 80 = 20. 80 + 20 = 100. Answer: 100

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    Which fraction is equal to 70%?

    • 7/10
    • 1/5
    • 3/4

  2. Question 2

    Decrease 40 by 10%. What is the new number?

    answer box

  3. Question 3

    Ravi earns $12 for every hour he works. Is his pay proportional to the hours he works?

    • No, pay goes up by different amounts
    • Yes, doubling the hours doubles the pay
    • No, pay is the same every hour

  4. Question 4

    Decrease 260 by 5%. What is the new number?

    answer box

  5. Question 5

    Which decimal is equal to 1/4?

    • 0.25
    • 0.4
    • 0.375

  6. Question 6

    Increase 131 by 100%. What is the new number?

    answer box

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