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7th grade · Math · Unit 8 of 15

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.

Minnesota K-12 Academic Standards benchmark: 7.3.6.4; 7.3.6.5 · proportional relationships, and tax, markups, markdowns and tips

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 Minnesota

In the Minnesota K-12 Academic Standards, this is unit 8 of 15 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: Minnesota Department of Education (MDE)

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 3/20?

    • 75%
    • 5%
    • 15%

  2. Question 2

    Decrease 80 by 5%. What is the new number?

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  3. Question 3

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

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

  4. Question 4

    Increase 210 by 10%. What is the new number?

    answer box

  5. Question 5

    What number makes these ratios equal?

    3 : 3 = 18 :

    answer box

  6. Question 6

    3 notebooks cost $8.19. At the same price, how much do 5 notebooks cost, in dollars?

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