Ratios & Proportions

Presentation

•

Mathematics

•

11th Grade

•

Hard

•

CCSS

6.RP.A.3B, 6.RP.A.1, 7.RP.A.3

Standards-aligned

Tom Giles

FREE Resource

7 Slides • 20 Questions

Proportions & Ratios

Dr. Tom Giles

Proportions and Ratios

What is a proportion?

A proportion is an equation that states that two ratios (fractions) are equal.
Example: A rope's length and weight are in proportion.
When 20m of rope weighs 1kg, then: 40m of that rope weighs 2kg

Working with Proportions

Multiple Choice

Solve the proportion.

k=5

k=3.3333333

k=60

k=90

Multiple Choice

At HEB 3 pounds of hamburger meat is on sale for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?

$30

$20

$60

$10

Multiple Choice

In your class 6 students out of 30 students are left-handed. What percent of students are left-handed?

18%

20%

60%

Multiple Choice

Solve the proportion below:

Multiple Choice

Solve the proportion below:

Ratios

A ratio states how much of one thing there is compared to another.
Ratios can be shown 3 ways:
3 to 1
3:1
3/1

Ratios

Multiple Choice

A recipe that makes 6 servings calls for 2 eggs. If you use 3 eggs and adjust all of the ingredients proportionally, how many servings will the new recipe make?

Multiple Choice

Andrew has 2 cats and 9 fish. He writes the ratio 2:11. What type of ratio did he write?

Part-to-part

Unit rate

Part-to-whole

Whole-to-part

Multiple Choice

What are the three different ways you can write a ratio?

Fraction, comma, words

Fraction, colon, words

Colon, words, pictures

Picture, fraction, comma

Multiple Choice

Mary lost 3 out of 5 games. What is the ratio of games Mary lost to the games she won?

3/5

2/5

3/2

5/2

Multiple Choice

At the candystore, for every 2 suckers you buy, you get 1 free, if billy bought 14 suckers how many free ones will he get

Multiple Choice

Solve.

Multiple Choice

Solve.

Multiple Choice

Write a proportion and solve.

3 tablespoons

4 tablespoons

9 tablespoons

12 tablespoons

Multiple Choice

Write a proportion and solve.

10 meters

15 meters

22.5 meters

30 meters

Multiple Choice

Write a proportion and solve.

.114 kilometers

107 kilometers

285 kilometers

613 kilometers

Multiple Choice

Steve won his election for student body president by a margin of 7 to 2. His opponent had 3,492 votes. How many votes did Steve have?

998 votes

12,222 votes

997 votes

1,222 votes

Multiple Choice

How much did Tom pay in income tax on a gross income of $50,000 if 9% of his income was taxed?

$55,555

$4000

$5,555

$4,500

Multiple Choice

A football team plays 25 games and wins 32% of them. How many games does the team win?

17 games

10 games

8 games

13 games

Multiple Choice

Finks jewelry company bought 800 bracelets for $450. How much did each bracelet cost the company?

$1.78

50 cents

78 cents

56 cents

Multiple Choice

A test has 60 questions. Franco answers 75% of them correctly. How many did he answer correctly?

45 Correct

48 Correct

54 Correct

35 Correct

Proportions & Ratios

Dr. Tom Giles

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