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Page 1: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Use Dimensional Analysis Example 2:Convert Rates Example 3:Convert Rates Between Systems Five-Minute
Page 2: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Use Dimensional Analysis Example 2:Convert Rates Example 3:Convert Rates Between Systems Five-Minute

Main Idea and New Vocabulary

NGSSS

Example 1: Use Dimensional Analysis

Example 2: Convert Rates

Example 3: Convert Rates Between Systems

Five-Minute Check

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Page 3: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Use Dimensional Analysis Example 2:Convert Rates Example 3:Convert Rates Between Systems Five-Minute

• Convert rates using dimensional analysis.

• unit rate

• derived unit

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Page 4: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Use Dimensional Analysis Example 2:Convert Rates Example 3:Convert Rates Between Systems Five-Minute

MA.8.G.5.1 Compare, contrast, and convert units of measure between different measurement systems (US customary or metric (SI)) and dimensions including temperature, area, volume, and derived units to solve problems.

Also addresses MA.8.A.6.4

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Page 5: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Use Dimensional Analysis Example 2:Convert Rates Example 3:Convert Rates Between Systems Five-Minute

Use Dimensional Analysis

ANIMALS The Florida panther can run as fast as 35 miles per hour. How many miles can the Florida panther travel in one minute?

Multiply by .

Divide out common units.

Since 1 hour = 60 minutes, use .

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Page 6: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Use Dimensional Analysis Example 2:Convert Rates Example 3:Convert Rates Between Systems Five-Minute

Use Dimensional Analysis

Answer: The Florida panther can travel about 0.583 mile per minute.

Divide both the numerator and denominator by 60 to get a denominator of 1 minute.

Multiply.

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Page 7: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Use Dimensional Analysis Example 2:Convert Rates Example 3:Convert Rates Between Systems Five-Minute

A. $0.33 per ounce

B. $0.50 per ounce

C. $2.00 per ounce

D. $15.98 per ounce

SHOPPING Coffee beans cost $7.99 per pound. What is the cost per ounce? Round to the nearest cent.

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Page 8: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Use Dimensional Analysis Example 2:Convert Rates Example 3:Convert Rates Between Systems Five-Minute

BICYCLING Beth pedals her bike at a rate of 342 feet per minute. Convert 342 feet per minute to yards per second.

Convert Rates

Use 1 yard = 3 feet and 1 minute = 60 seconds.

Multiply by

and .

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Page 9: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Use Dimensional Analysis Example 2:Convert Rates Example 3:Convert Rates Between Systems Five-Minute

Convert Rates

Answer: So, 342 feet per minute is equivalent to1.9 yards per second.

Multiply.

Divide out common units.

Simplify.

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Page 10: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Use Dimensional Analysis Example 2:Convert Rates Example 3:Convert Rates Between Systems Five-Minute

A. 0.03 mph

B. 1 mph

C. 2 mph

D. 2.93 mph

CANOING A canoe travels down a river at 176 feet per minute. How many miles per hour is this?

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Page 11: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Use Dimensional Analysis Example 2:Convert Rates Example 3:Convert Rates Between Systems Five-Minute

Convert Rates Between Systems

HEALTH To replenish water lost during moderate activity, the average adult should consume 35 milliliters of fluid per kilogram of body weight. How many fluid ounces is this per pound?

Use conversion factors to convert milliliters to fluid ounces and kilograms to pounds.

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Page 12: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Use Dimensional Analysis Example 2:Convert Rates Example 3:Convert Rates Between Systems Five-Minute

Convert Rates Between Systems

Multiply by

and .

Divide out common units.

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Page 13: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Use Dimensional Analysis Example 2:Convert Rates Example 3:Convert Rates Between Systems Five-Minute

Convert Rates Between Systems

Answer: So, 35 milliliters of fluid per kilogram is about 0.54 fluid ounce per pound.

Multiply.

Divide.

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Page 14: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Use Dimensional Analysis Example 2:Convert Rates Example 3:Convert Rates Between Systems Five-Minute

A. 4.4 liters per hour

B. 16.7 liters per hour

C. 63.1 liters per hour

D. 1,514 liters per hour

HEALTH About 400 gallons of blood flow through your kidneys in one day. How many liters is this per hour?

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Page 15: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Use Dimensional Analysis Example 2:Convert Rates Example 3:Convert Rates Between Systems Five-Minute

A. 1.77

B. 25.63

C. 64.08

D. 1,537.85

Complete the conversion. Round to the nearest hundredth if necessary.52 fl oz/day ≈ __ mL/hr

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Page 16: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Use Dimensional Analysis Example 2:Convert Rates Example 3:Convert Rates Between Systems Five-Minute

A. 0.45

B. 321.8

C. 447.12

D. 19,306

Complete the conversion. Round to the nearest hundredth if necessary.12 mi/hr ≈ __ m/min

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Page 17: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Use Dimensional Analysis Example 2:Convert Rates Example 3:Convert Rates Between Systems Five-Minute

A. 3

B. 4

C. 21

D. 42

Complete the conversion. Round to the nearest hundredth if necessary.24 pt/day = __ gal/wk

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Page 18: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Use Dimensional Analysis Example 2:Convert Rates Example 3:Convert Rates Between Systems Five-Minute

A. 1,920

B. 160

C. 13.33

D. 7.5

Complete the conversion. Round to the nearest hundredth if necessary.10 lb/ft = __ oz/in.

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Page 19: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Use Dimensional Analysis Example 2:Convert Rates Example 3:Convert Rates Between Systems Five-Minute

A. 1.45 cm/day

B. 1.57 cm/day

C. 10.16 cm/day

D. 71.12 cm/day

A stalk of corn grows 4 inches in one week. Approximately how many centimeters per day did it grow?

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Page 20: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Use Dimensional Analysis Example 2:Convert Rates Example 3:Convert Rates Between Systems Five-Minute

A. 3,096.33 yd/min

B. 2,703.12 km/day

C. 1,877.17 m/min

D. 102.67 ft/s

As the fastest mammal, the cheetah can reach speeds up to 70 miles per hour. Which of the following is not equivalent to this rate?

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Page 21: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Use Dimensional Analysis Example 2:Convert Rates Example 3:Convert Rates Between Systems Five-Minute
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Page 22: Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Use Dimensional Analysis Example 2:Convert Rates Example 3:Convert Rates Between Systems Five-Minute

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