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

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.

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.

Multiple Choice

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

• 3

• 10

• 8

• 6

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?

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

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.

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

6.RP.A.3d

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

• 
  

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