Exploring Unit Rates in Math 7

This video tutorial, led by Mr. Hong and Mrs. Cleveland, covers the concept of unit rates for seventh-grade students. It begins with preparation instructions, followed by a detailed explanation of unit rates using various examples, including car travel, basketball scoring, bicyclist speed, cooking, swimming pool water loss, and book reading. The lesson concludes with a review of key concepts and a brief discussion on the constant of proportionality.

What is the first step you need to do with your sheet of paper?

• Write down the unit rate definition

• Draw a double number line

• Fold it three times to create sections

• Label it with your name and date

Tags

CCSS.7.RP.A.1

What does the term 'unit' mean in the context of unit rates?

• Zero

• One

• Hundred

• Ten

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

If a car travels 300 miles in 6 hours, what is the unit rate in miles per hour?

• 50 miles per hour

• 30 miles per hour

• 60 miles per hour

• 40 miles per hour

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

How many points per game did Steph Curry average if he scored 110 points in 4 games?

• 30 points per game

• 27.5 points per game

• 25 points per game

• 32.5 points per game

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

If a bicyclist can travel 15 miles in half an hour, how many miles can they travel in one hour?

• 25 miles

• 20 miles

• 35 miles

• 30 miles

Tags

CCSS.6.RP.A.3B

In a recipe, if you need 12 ounces of flour for every 3/4 cup of sugar, how many ounces of flour do you need for 1 cup of sugar?

• 14 ounces

• 15 ounces

• 16 ounces

• 17 ounces

Tags

CCSS.7.RP.A.1

If a swimming pool loses 7/8 of a gallon of water every 1/4 of an hour, how many gallons does it lose in 1 hour?

• 3 gallons

• 4.5 gallons

• 3.5 gallons

• 4 gallons

Tags

CCSS.7.RP.A.1

What is the cost per ounce if an item costs $3.20 for 16 ounces?

• $0.20

• $0.25

• $0.10

• $0.15

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

If you read 5 1/4 books in 3/4 of a day, how many books do you read in one day?

• 7 books

• 6 books

• 7.5 books

• 6.5 books

Tags

CCSS.7.RP.A.1

What is the constant of proportionality (K) if the values are 2, 3, 5, and 7 for X and 8, 12, 20, and 28 for Y?

• 1/2

• 1/5

• 1/3

• 1/4

Tags

CCSS.7.RP.A.2B