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Objective:

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Objective: Students will express ratios and rates as fractions (8-1). – PowerPoint PPT presentation

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Title: Objective:


1
Objective
  • Students will express ratios and rates as
    fractions (8-1).

2
Vocabulary
  • Rate- a ratio of two measurements that have
    different units.
  • Ratio- comparison of two numbers by division

3
Ratio as a fraction
  • Read all directions!!!!!
  • Write the problem down.
  • Write the ratio as a fraction. The first the
    numerator. The second the denominator.
  • Last, simplify.

4
Ratio as a rate
  • Read all directions!!!!!
  • Write down the problem.
  • Write problem as a fraction (fraction may be a
    improper fraction).
  • Divide denominator into numerator in order to
    simplify.
  • Be careful when working with money.

5
Notes
  • A ratio can be written 4 ways
  • 24 to 108
  • 24 out of 108
  • 24108
  • 24 over 108 (fraction)

6
Examples
  • Express the ratio that compares the number of
    strawberries to the total number of pieces of
    fruit as a fraction in simplest form.
  • Strawberries 4

7
Examples
  • Express the ratio that compares the number of
    strawberries to the total number of pieces of
    fruit as a fraction in simplest form.
  • Strawberries 4
  • Pieces of fruit 10

8
Examples
  • Express the ratio that compares the number of
    strawberries to the total number of pieces of
    fruit as a fraction in simplest form.
  • Strawberries 4 2
  • Pieces of fruit 10 5

9
Examples
  • Express the ratio that compares the number of
    strawberries to the total number of pieces of
    fruit as a fraction in simplest form.
  • Strawberries 4 2 The GCF of 4 and
  • Pieces of fruit 10 5 10 is 2. Divide
    the

  • numerator and the

  • denominator by the
  • GCF 2.
  • The ratio in simplest form is 2

  • 5

10
  • Express the ratio 7 inches of rain in 28 days as
    a rate.
  • 7 inches

11
  • Express the ratio 7 inches of rain in 28 days as
    a rate.
  • 7 inches
  • 28 days

12
  • Express the ratio 7 inches of rain in 28 days as
    a rate.
  • 7 inches 0.25 inch
  • 28 days 1 day
  • Divide the numerator and the
  • denominator by 28 to get a denominator of 1.
  • The total rain fall is equivalent
  • to 0.25 inch each day.

13
  • Dhara purchased a 14.5 ounce bag of chips for
    3.19. What was the cost per ounce?
  • Explore You know that the 14.5 ounce
  • bag of chips costs 3.19 You
  • need to find the cost per
  • ounce.
  • Plan Use a rate to compare the cost
  • to the weight.

14
  • Solve 3.19 0.22
  • 14.5 oz. 1 oz.
  • Divide the numerator and the
  • denominator by 14.5 to get a
  • denominator of 1.
  • 3.19 14.5 0.22
  • The cost is 22 cents per ounce.
  • Examine 0.22 x 14.5 3.19 So the
  • answer is correct.

15
Guided Practice
  • Write each ratio in three different ways
  • 7 carnations out of 24 flowers
  • 15 mint chip cookies in a bag of 34 cookies

16
  • Write each ratio in three different ways
  • 7 carnations out of 24 flowers
  • 7 out of 24 7 to 24 724
  • 15 mint chip cookies in a bag of 34 cookies
  • 15 to 34 15 out of 34 15

  • 34

17
  • Express each ratio as a fraction in simplest
    from
  • 16 beagles out of 24 dogs
  • 10 emeralds out of 25 gems

18
  • Express each ratio as a fraction in simplest
    from
  • 16 beagles out of 24 dogs
  • 16 beagles 2 beagles
  • 24 dogs 3 dogs
  • 10 emeralds out of 25 gems
  • 10 emeralds 2 emeralds
  • 25 gems 5 gems

19
  • Express each ratio as a rate
  • 120 words in 3 minutes
  • 5 soft drinks for 3.25
  • The fastest running bird is the ostrich. An
    ostrich can run 240 miles in 6 hours. What is
    the average speed of an ostrich?

20
  • Express each ratio as a rate
  • 120 words in 3 minutes
  • 120 words 40 words
  • 3 minutes 1 min.
  • The answer is 40 words per minute.
  • 5 soft drinks for 3.25
  • 3.25 0.65
  • 5 soft drinks 1 soft drink
  • The answer is 0.65 per soft drink.

21
  • The fastest running bird is the ostrich. An
    ostrich can run 240 miles in 6 hours. What is
    the average speed of an ostrich?
  • 240 miles 40 miles
  • 6 hours 1 hour
  • The answer is 40 miles per hour.
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