Ratios and Ratio Tables Lesson

Real World Math Problems Using Rates and Ratios 6.RP.A.3

Expectations

Cross-product algorithm is not expected at this level. When working with ratio tables and graphs, whole number measurements are the expectation for this standard.

6.RP.A.3

Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

Multiple Choice

Evaluate  $$6\frac{1}{2}\div2\frac{1}{4}$$  .

• $$\frac{4}{9}$$  

• $$2\frac{8}{9}$$  

• $$8\frac{1}{6}$$  

Multiple Choice

Evaluate  $$2\frac{2}{5}\div1\frac{3}{4}$$ .

• $$\frac{13}{25}$$  

• $$\frac{6}{20}$$  

• $$1\frac{13}{35}$$  

6.RP.A.3a

• Make tables of equivalent ratios relating quantities with whole number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

6.RP.A.3b

• Solve unit rate problems including those involving unit pricing and constant speed.

• Ex.  If it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what unit rate were lawns being mowed?

6.RP.A.3c

• Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity)

• solve problems involving finding the whole, given a part and the percent.

6.RP.A.3d

• Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

• 
  

What are equivalent ratios?

Math Response

Kayla texts 270 words in 3 minutes. What is the rate that she texts in words per minute? What

is the unit rate?

Type answer here

Correct Answer: 90

Deg^°

Rad

Multiple Choice

Shane buys fishing line in rolls of 700 yards of line per roll. How many feet of fishing line are in one roll? 1 yard = 3 feet

• 2100 ft

• 7000 ft

• 84,000 ft

• 25,200 ft

Multiple Choice

We have 10 pepperoni pizzas

We also have 12 cheese pizzas.

Which of the following uses the correct ratio language for a PART to WHOLE ratio

• For every 10 pepperoni pizzas there are 12 cheese pizzas.

• For every 10 pepperoni pizzas there are 22 total pizzas

• For every 12 pepperoni pizzas there are 10 cheese pizzas

Multiple Choice

Simplify this expression:

$$\frac{5}{8}\div\frac{7}{10}$$  

• $$\frac{7}{16}$$  

• $$2\frac{2}{7}$$  

• $$\frac{25}{28}$$  

• $$\frac{50}{56}$$  

Multiple Choice

Edgar has a pen pal who uses the metric system. The pen pal wrote that his dog weighs 20 kilograms. If 1 kilogram is equivalent to 2.2 pounds, about how many pounds does the dog weigh?

• 9
• 22
• 35
• 44

Multiple Choice

The length of a piece of ribbon is 1  1/2 yards. How long is the ribbon in inches?  (1 yard = 36 inches)

• 0.042
• 4.5
• 18
• 54

Multiple Choice

On a recent trip to Italy, Sebastian drove from Brindisi to Gallipoli, a distance of about 88 kilometers. How far is this in meters?

• 0.088
• 0.88
• 8,800
• 88,000

Multiple Choice

One tablespoon holds 3 teaspoons. My favorite waffle recipe calls for 4 teaspoons of baking powder. If I triple the recipe, How many tablespoons will I use?

• 4

• 12

• 12

• 36

Multiple Choice

Using the information in the table, find the number of yards in 24 feet.

• 3

• 10

• 8

• 6

Multiple Choice

Are these ratios equivalent?

2:3 and 8:12

• Yes

• No

Multiple Choice

Are these ratios equivalent?

3:4 and 6:12

• Yes

• No

Multiple Choice

Find one equivalent ratio for 15 : 30 using division

• 7 : 15

• 5 : 10

• 3 : 5

Multiple Choice

Find one equivalent ratio for 5 : 8 using multiplication

• 10 : 24

• 15 : 24

• 15 : 16

Multiple Choice

Using the information in the table, find the number of yards in 24 feet.

• 3

• 10

• 8

• 6

Multiple Choice

Prime number

• A prime number is a number that is always odd.
• A prime number is a number that ends in 0 or 5.
• A prime number is a natural number greater than 1 that is only divisible by 1 and itself. It only has 2 factors, 1 and itself.

• A prime number is a number that is divisible by all other numbers.

Multiple Choice

What is the unit rate for 40 Vitamins for $3.25?

• $0.09 per vitamin

• $0.08 per vitamin

• $0.10 per vitamin

• $0.07 per vitamin

Multiple Choice

This is an example of :

• unit

• quantity

• equivalent ratio

• mass

Multiple Choice

Calculate the better buy.

• 2-ounce bottle of soap for $1.80
• 8-ounce bottle of soap for $7.28

Multiple Choice

What number is missing?

• 12
• 3
• 11
• 13

Multiple Choice

A baker uses 1 cup of flour for every 5 cups of honey in a recipe for cookie dough. How many cups of honey would the baker need if she uses 5 cups of flour?

• 20
• 25
• 15
• 30

Multiple Choice

If it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what unit rate were lawns being mowed? Hint: Set up and solve a proportion.

• 20

• 15

• 26

Multiple Choice

• 240
• 180
• 160
• 360

Multiple Choice

There are 4 trucks for every 5 cars in a parking lot. If there are 20 cars in the parking lot, how many trucks are in the lot?

• 16 trucks

• 20 trucks

• 80 trucks

• 12 trucks

Multiple Choice

Compare the number of black to white circles. If the ratio remains the same, how many black circles will you have if you have 60 white circles?

• 80

• 40

• 60

Multiple Choice

Complete the ratio table.

• 6

• 8

• 9

• 5

Multiple Choice

Complete the ratio table.

• 2

• 4

• 0

• 1

Multiple Choice

How many centimeters are in 7 feet, given that 1inch ≈ 2.54 cm? Hint. First convert 7 feet into inches.

• 213.36

• 200

• 300

Multiple Choice

Determine whether the ratios are equivalent.

• yes

• no

• maybe

Multiple Choice

Use equivalent ratios to find the unknown value.

• 36

• 4

• 3

• 63

Multiple Choice

Use equivalent ratios to find the unknown value.

• 3

• 5

• 30

• 35

Poll

How well did you understand this lesson?

Multiple Choice

What is a dividend?

• The answer to a division problem
• The number that is being divided
• The number hat divides the dividend
• What's left over

Multiple Choice

The quotient is the

• The answer to a division problem
• whats left over
• Top number

Multiple Choice

What is the quotient of these fractions in lowest terms?

• 6/40
• 6/10
• 3/5
• 12/20

Multiple Choice

How many times can 1/4 go into 3?

• 3
• 4
• 10
• 12