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7th grade · Math · Unit 6 of 22

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.

Texas Essential Knowledge and Skills (TEKS) teks student expectation: 7.4(D) · ratios, rates and percents, including 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 Texas

In the Texas Essential Knowledge and Skills (TEKS), this is unit 6 of 22 in 7th grade Math, after Proportional Relationships and before Fractions, Decimals & Percents.

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: Texas Education Agency (TEA)

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 37.5%?

    • 1/4
    • 3/8
    • 1/5

  2. Question 2

    Decrease 200 by 10%. What is the new number?

    answer box

  3. Question 3

    Decrease 300 by 1%. What is the new number?

    answer box

  4. Question 4

    Increase 30 by 50%. What is the new number?

    answer box

  5. Question 5

    What number makes these ratios equal?

    2 : 5 = 8 :

    answer box

  6. Question 6

    Which percent is equal to 2/5?

    • 40%
    • 5%
    • 20%

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