Modeling Quantities

What is a ratio?

• The Italian way of saying Rat.

• Someone saying Radio with an accent.

• A comparison of two quantities using division.

• An equation created with two or more ratios.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is a proportion?

• The opposite of an antiportion.

• The largest portion of a cake.

• A comparison of two quantities using division.

• An equation created with two or more ratios.

Tags

CCSS.7.RP.A.2A

For the following problem, choose the correct proportion.

The Empire State Building is 1250 ft tall. The Statue of Liberty is 305 ft tall. At a certain time of day, the Statue of Liberty casts a shadow of 165 ft. What is the length of the shadow cast by the Empire State Building at the same time of day?

• $\frac{1250\ ft}{x\ ft}=\frac{165\ ft}{305\ ft}$

• $\frac{x\ ft}{1250\ ft}=\frac{305\ ft}{165\ ft}$

• $\frac{1250\ ft}{165\ ft}=\frac{x\ ft}{305\ ft}$

• $\frac{1250\ ft}{x\ ft}=\frac{305\ ft}{165\ ft}$

Tags

CCSS.7.RP.A.2C

The Empire State Building is 1250 ft tall. The Statue of Liberty is 305 ft tall. At a certain time of day, the Statue of Liberty casts a shadow of 165 ft. What is the length of the shadow cast by the Empire State Building at the same time of day?

•  $676.23\ ft$ 

•  $2310.61\ ft$ 

•  $40.26\ ft$ 

•  $165\ ft$ 

Tags

CCSS.HSG.SRT.B.4

The distance from Sacramento to Maui is 2402 miles. On a map, 1 inch represents 35 miles. How far are Sacramento and Maui on the map?

• 84070 inches

• 68.63 inches

• 2367 inches

• 2437 inches

Tags

CCSS.6.RP.A.3B

On a map, 3 inches represents 500 miles. Sacramento and New York are 16.92 inches from one another on the map. How far away are they in real life?

• 50.76 miles

• 9.85 miles

• 2820 miles

• 985.02 miles

Tags

CCSS.6.RP.A.3B

How many yards is equivalent to 729 inches?

Recall: 12 inches=1 foot, 3 feet=1 yard

Just write the answer (with a label)...no need for complete sentences.

Tags

CCSS.5.MD.A.1

A soft-serve ice cream machine makes 1200 gallons per hour. Convert this rate to cups per minute.

Recall: 16 cups = 1 gallon, 60 minutes = 1 hour

Just write the answer (with a label)...no need for complete sentences.

Tags

CCSS.6.RP.A.3D

Which of the following situations matches the graph?

• I am walking 10 miles in 3 hours.

• I am walking 13 miles in 4 hours.

• I am walking 12 miles in 3 hours.

• I am walking 20 miles in 4 hours.

Tags

CCSS.8.EE.B.5

What feedback would you give, in order to make class better for you?

Tags

CCSS.RI.1.4

CCSS.RI.2.1

CCSS.RI.3.1

CCSS.RL.2.1

CCSS.RL.3.1