Lesson 1

Ratios, Recipes, and Proportions

Est. Class Sessions: 2–3

Daily Practice and Problems

Teacher Notes
X

TIMS Task

    1. 135/540
    2. 1/4; Possible response: I divided the numerator and denominator by 135.
  2. 216 people; 2/5 = ?/540
  3. 108 people; 2/10 = ?/540
  4. 0.15 or 81 people; Possible response: I added 1/4 + 2/5 + .2. First I converted all the fractions to decimals. 1/4 = .25; 2/5 = .40; I added .25 + .40 + .20 = .85. This means .85 of the people watch TV three or more nights per week and .15 watch two or fewer times per week. .15 × 15/100 = X/540 × .15

D. Watching Television

In a recent survey, 540 people were asked how often they watch television.

  • 135 people said they watched television six or more nights per weeks.
  • 2/5 of those surveyed said they watched television five nights each week.
  • 0.2 of those surveyed said they watched television three or four nights per week.
  • The remainder said they watched television less than three or four nights per week.
    1. What fraction of the people watch television six or seven nights per week?
    2. Express this fraction in simplest terms. Show how you decided.
  2. How many people reported watching television five nights per week?
  3. How many people said they watched television three or four nights per week?
  4. What fraction of those surveyed watch television less than three or four nights per week? How many people does this represent? Explain your solution strategy.