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Lesson 8 
Obj: Students will learn to convert a variety of units.
Abbreviations 
Customary 
in Inches oz Ounces 
ft Feet pt Pints 
yd Yards gal Gallons 
mi Miles lb Pounds 
Metric 
mm Millimeters mL milliliters 
cm Centimeters L Liters 
m Meters g grams 
km Kilometers kg Kilograms
Cheat Way 
Big to Small = Times X 
Small to Big = Divide ÷
Big to Small = X 
Small to Big = ÷ 
72 in = ___ft 2 tons = _____lbs 
12in = 1 ft 2000lbs = 1 ton 
Small to Big = ÷ Big to Small = x 
4 qt = ____pts 15840ft = ____mi 
2pts = 1 qt 5280 ft = 1 mi 
Big to Small = X Small to Big = ÷ 
300 cm = _____m 5 kg = _____g 
100 cm = 1 m 1 kg = 1000g 
Small to Big = ÷ Big to Small = X
My Turn 
 A cheetah named Bronson ran at a rate of 105,600 yards 
per hour. How fast did Bronson the cheetah run in miles 
per hour? 
105600 yd = ___________mi Small to big so ÷ 
1760 yd = 1 mi
Still my turn 
 An elephant can charge at speeds of about 25 miles per 
hour. How fast can the elephant Sarah was riding 
charge in feet per hour? 
25mi = ____ft big to small, so X 
5280 ft = 1 mi
Your Turn 
 Alyssa’s mourning dove can reach speeds up to 35mph. 
How fast is this in feet per hour? 
35mi = ______ft 
5280 ft = 1 mi
Again 
 Grayson’s interior wall measures 4.5 yd by 3.25 yd. 
What is the size of the wall in square feet? 
 14.624 sq yds = _______sq ft 
3ft = 1yd 
9 sqft = 3 sqyd
And again 
 Andie has a small bag containing 50 cubic centimeters of 
potting soil. Her planter has a volume of 46,300 cubic 
mm. Does Della have enough soil to fill the planter? 
50푐푚3 ?=? 46,300 푚푚3 
1cm = 10mm 
1푐푚3= 1000푚푚3
again 
 Johnathan just returned from London. He has 16 British 
pounds to convert to American dollars. If the exchange 
rate is 1pd = $2.016, what is the value of Johnathan’s 
16 pounds in U.S. dollars? 
16lbs = _______$
another 
 Colby’s gym measures 8.5m by 14m. He bought mats 
to cover the floor. Each mat is 110 푐푚2. If 95 mats 
were purchased, are there enough mats to cover the 
floor? 
 L X W 8.5 X 14 = 119 square meters 
 1m = 100cm 1푚2 = 100,000푐푚2
Last one 
 Sadie is filling up her swimming pool. The hose used to 
fill up the pool has a flow rate of 41,472푖푛3. The volume 
of the pool is 1,104 푓푡3. How many hours will it take 
Sadie to fill up the pool? 
41472푖푛3 = ______푓푡3 
1ft = 12 in 1푓푡3 = 1728푖푛3

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Alg lesson 8

  • 1. Lesson 8 Obj: Students will learn to convert a variety of units.
  • 2. Abbreviations Customary in Inches oz Ounces ft Feet pt Pints yd Yards gal Gallons mi Miles lb Pounds Metric mm Millimeters mL milliliters cm Centimeters L Liters m Meters g grams km Kilometers kg Kilograms
  • 3. Cheat Way Big to Small = Times X Small to Big = Divide ÷
  • 4. Big to Small = X Small to Big = ÷ 72 in = ___ft 2 tons = _____lbs 12in = 1 ft 2000lbs = 1 ton Small to Big = ÷ Big to Small = x 4 qt = ____pts 15840ft = ____mi 2pts = 1 qt 5280 ft = 1 mi Big to Small = X Small to Big = ÷ 300 cm = _____m 5 kg = _____g 100 cm = 1 m 1 kg = 1000g Small to Big = ÷ Big to Small = X
  • 5. My Turn  A cheetah named Bronson ran at a rate of 105,600 yards per hour. How fast did Bronson the cheetah run in miles per hour? 105600 yd = ___________mi Small to big so ÷ 1760 yd = 1 mi
  • 6. Still my turn  An elephant can charge at speeds of about 25 miles per hour. How fast can the elephant Sarah was riding charge in feet per hour? 25mi = ____ft big to small, so X 5280 ft = 1 mi
  • 7. Your Turn  Alyssa’s mourning dove can reach speeds up to 35mph. How fast is this in feet per hour? 35mi = ______ft 5280 ft = 1 mi
  • 8. Again  Grayson’s interior wall measures 4.5 yd by 3.25 yd. What is the size of the wall in square feet?  14.624 sq yds = _______sq ft 3ft = 1yd 9 sqft = 3 sqyd
  • 9. And again  Andie has a small bag containing 50 cubic centimeters of potting soil. Her planter has a volume of 46,300 cubic mm. Does Della have enough soil to fill the planter? 50푐푚3 ?=? 46,300 푚푚3 1cm = 10mm 1푐푚3= 1000푚푚3
  • 10. again  Johnathan just returned from London. He has 16 British pounds to convert to American dollars. If the exchange rate is 1pd = $2.016, what is the value of Johnathan’s 16 pounds in U.S. dollars? 16lbs = _______$
  • 11. another  Colby’s gym measures 8.5m by 14m. He bought mats to cover the floor. Each mat is 110 푐푚2. If 95 mats were purchased, are there enough mats to cover the floor?  L X W 8.5 X 14 = 119 square meters  1m = 100cm 1푚2 = 100,000푐푚2
  • 12. Last one  Sadie is filling up her swimming pool. The hose used to fill up the pool has a flow rate of 41,472푖푛3. The volume of the pool is 1,104 푓푡3. How many hours will it take Sadie to fill up the pool? 41472푖푛3 = ______푓푡3 1ft = 12 in 1푓푡3 = 1728푖푛3