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7th grade · Math · Unit 9 of 16

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.

Arizona Academic Standards learning standard: 7.RP.A.2; 7.RP.A.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

Percents & Proportions in Arizona

In the Arizona Academic Standards, this is unit 9 of 16 in 7th grade Math, after Fractions and before Algebra Moves.

Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.

Source: Arizona Department of Education

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 percent is equal to 2/5?

    • 40%
    • 15%
    • 62.5%

  2. Question 2

    Increase 98 by 100%. What is the new number?

    answer box

  3. Question 3

    Which percent is equal to 3/20?

    • 15%
    • 5%
    • 20%

  4. Question 4

    Increase 500 by 1%. What is the new number?

    answer box

  5. Question 5

    Increase 390 by 10%. What is the new number?

    answer box

  6. Question 6

    What number makes these ratios equal?

    6 : 6 = 36 :

    answer box

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