CS 3.2: Measuring to the Unit – Measurement Conversions

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Presentation transcript:

CS 3.2: Measuring to the Unit – Measurement Conversions Learning Target: I can use proportional relationships to solve conversion problems. Homework: 1) Finish the Socrative Exit Ticket #3 2) Complete all pages in the Investigation 3 Packet * Comparing and Scaling UNIT TEST – Tues, Jan 12 * Warm Up: Begin CS 3.2 p. 13

A. 12 beads 5 in. = x beads 1 ft. = 12 beads 5 in. = x beads 1 in. = 2.4 beads/in. 2.4 beads 1 in. = x beads 1 ft. = 28.8 beads/ft.

A. 12 beads 5 in. = x beads 1 ft. = 12 beads 5 in. = x beads 1 in. = 2.4 beads/in. 28.8 beads/ft.

B. 12 beads 5 in. = 50 beads x cm. = 12 beads 5 in. = 2.4 beads 1 in. (Note: 1 inch = 2.5 centimeters) 12 beads 5 in. = 50 beads x cm. = 12 beads 5 in. = 2.4 beads 1 in. = 50 beads x in. = 20.083 in 50 beads 20.083 in. = 50 beads x cm. = 52 and 1/12 cm.

B. 12 beads 5 in. = 50 beads x cm. = 20.083 in 12 beads 5 in. = (Note: 1 inch = 2.5 centimeters) 12 beads 5 in. = 50 beads x cm. = 20.083 in 12 beads 5 in. = 2.4 beads 1 in. =

C. .𝟕𝟓 𝒎𝒊𝒍𝒆𝒔 𝟏𝟓 𝒎𝒊𝒏𝒔. 𝒙 𝒎𝒊𝒍𝒆𝒔 𝟖𝟎 𝒎𝒊𝒏𝒔. = x = 4 miles

C. x = 4 miles

Find a unit rate? = .75 mi. .25 hrs. x mi. hr. = = .75 mi. .25 hrs. 3 mi. 1 hr. = 4 mi. hr. = 4 mi.

Find a unit rate? = .75 mi. .25 hrs. x mi. hr. = = .75 mi. .25 hrs. D. Can you make sense of these strategies for solving problem C? Sean writes the expression: 𝟑 𝟒 ÷ 𝟏 𝟒 and completes the division. What information does this expression give Sean? Find a unit rate? = .75 mi. .25 hrs. x mi. hr. = = .75 mi. .25 hrs. 3 mi. 1 hr. = 4 mi. hr. = 4 mi.

C.

C.

E. Allen runs 8 miles in 3 hours at a steady pace. How long does it take him to run 3 miles? (Give your answer in minutes.)

F. Maren walks 3/5 mile in 24 minutes at a steady pace F. Maren walks 3/5 mile in 24 minutes at a steady pace. How long does it take her to walk 2 miles? (Give your answer in minutes.)

G. Half an avocado has about 160 calories G. Half an avocado has about 160 calories. How many calories do a dozen avocados have?

H. There are about 1.5 grams of fat in 1 T. of hummus. How many grams of fat are in 2.5 cups of hummus? (Note: 16 tablespoons = 1 cup)

I. How many ounces are in 10 ½ pounds? J. How many cups are in 55 gallons?

K. For each problem below, describe what value x represents and then solve for x.

L. Challenge: Solve each proportion for x:

Socrative Exit Ticket #3 Homework: 1) Finish the Socrative Exit Ticket #3 2) Complete all pages in the Investigation 3 Packet * Comparing and Scaling UNIT TEST – Tues, Jan 12 *

3.125 mi. Find a unit rate? = 5 mi. 2 hrs. x mi. 1 hr. 15 min. =

128 gr. fat = 8 gr. fat 1 cup x gr. fat 1 Gallon = = x gr. fat 16 cups Unit rate! Different Unit rate!

3 lawns 2/3 tank x lawns 1 tank = = 4.5 one-acre lawns

276 cal. 6 oz. x cal. 1 pound = x cal. 1 oz. = = 46 cal./oz. 46 cal. 1 oz. = 736 cal. 16 oz. = 736 cal. 1 lb. = 736 cal./lb.

C.