Unit Rates and Proportional Relationships

Mrs. Lopez introduces grade 7 students to lesson 11 on ratios of fractions and unit rates. The lesson covers calculating unit rates through examples, including comparing speeds, determining a turtle's speed, calculating flour needed for cupcakes, and comparing costs of granola bars. Students are encouraged to refresh their knowledge of multiplying and dividing fractions and decimals.

What is a sign of a proportional relationship on a graph?

• A curved line

• A line that does not pass through the origin

• A straight line through the origin

• A line with varying slopes

How do you convert a mixed number into an improper fraction?

• Multiply the whole number by the denominator and add the numerator

• Add the whole number to the fraction

• Divide the numerator by the denominator

• Subtract the numerator from the whole number

What is the unit rate of Nellie's running speed?

• 1/4 miles per minute

• 2/15 miles per minute

• 1/5 miles per minute

• 3/20 miles per minute

How do you find the reciprocal of a fraction?

• Flip the numerator and denominator

• Add the numerator and denominator

• Subtract the denominator from the numerator

• Multiply the fraction by itself

What is the turtle's speed in miles per hour?

• 1 1/10 miles per hour

• 1 1/5 miles per hour

• 1 1/20 miles per hour

• 1 1/15 miles per hour

How many cupcakes can be made with 1 cup of flour?

• 10 cupcakes

• 15 cupcakes

• 9 cupcakes

• 12 cupcakes

What is the unit rate of cupcakes per cup of flour?

• 1/2 dozen per cup

• 1 dozen per cup

• 3/4 dozen per cup

• 2 dozen per cup

How many batches of cookies did the bakery make?

• 2 batches

• 3 batches

• 5 batches

• 4 batches

Which pack of granola bars is the better buy?

• Both are the same

• 18-pack at $4.79

• 12-pack at $2.99

• Neither is a good buy

What is the cost per granola bar in the 12-pack?

• $0.25

• $0.30

• $0.22

• $0.27