Exploring Ratios and Rates in 7th Grade Math

This video tutorial introduces seventh-grade students to the concepts of ratios, rates, and unit rates. It begins with a review of ratios, explaining how they compare two or more quantities. The lesson then progresses to rates, which compare quantities with different units, and unit rates, which simplify rates to a denominator of one. The tutorial includes practical examples, such as calculating heartbeats per minute and determining the cost per item, to illustrate these concepts. The video concludes with advanced rate problems, encouraging students to apply their understanding in real-world scenarios.

What is a ratio?

• A comparison of two or more quantities

• A comparison of two quantities with different units

• A mathematical operation

• A fraction with a denominator of one

Which of the following is NOT a way to write a ratio?

• Using the word 'to'

• Using a colon

• Using a percentage

• Using a fraction

What does a rate compare?

• Two whole numbers

• Two fractions

• Two quantities with different units

• Two quantities with the same units

Which of the following is an example of a rate?

• 5 boys to 8 girls

• 4 apples to 6 oranges

• 120 beats every 2 minutes

• 3 dogs to 5 cats

What is a unit rate?

• A fraction with a numerator of one

• A comparison of two quantities with the same units

• A mathematical operation

• A rate with a denominator of one

How do you find the unit rate of 120 beats every 2 minutes?

• Multiply 120 by 2

• Divide 120 by 2

• Add 120 and 2

• Subtract 2 from 120

If Adrian biked 24 miles in 4 hours, how many miles did she bike in one hour?

• 4 miles

• 6 miles

• 8 miles

• 12 miles

How long does it take Ali to paint one face if she paints 4 faces in 40 minutes?

• 5 minutes

• 8 minutes

• 10 minutes

• 12 minutes

What is the unit price per scone if 3 scones cost $9.75?

• $3.75

• $3.25

• $3.00

• $2.25

How long would it take Miss Graves to grade 8 math tests if she grades 3 tests in 36 minutes?

• 108 minutes

• 96 minutes

• 84 minutes

• 72 minutes