1.2 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

You know that 12 inches = 1 foot. Convert 72 inches to feet.

• 720 feet

• 6 feet

• 6 inches

• 72 feet

Tags

CCSS.5.MD.A.1

You know 1000 mg = 1 g.  Convert 2.5 grams into milligrams.

• 25 mg
• 25,000 mg
• 250 mg
• 2500 mg

Tags

CCSS.6.RP.A.3D

Convert 40 ounces to pounds. (16oz = 1lb)

• 2.5 pounds

• .4 pounds

• 2/5 pounds

• 5 pounds

Tags

CCSS.6.RP.A.3D

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

Convert 5 gallons to Liters

1gal = 3.785 L

• 18.95

• .1895

• 1895

• 1895000

Tags

CCSS.5.MD.A.1

Convert 62 miles/hour to feet/second

• 5,456 feet/second

• .003 feet/second

• 90.9 feet/second

• 909 feet/second

Tags

CCSS.HSA.CED.A.4

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