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Lesson 29: I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. 5th Grade Module 2 – Lesson 29

Lesson 29: I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. 5th Grade Module

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Page 2: Lesson 29: I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. 5th Grade Module

5th Grade Module 2 – Lesson 29

Unit Conversions

1 liter = ___ mL1 foot = ___ inches1 kg = ___ g1 lb = ___ oz0.413 liters = ____ mL0.052 liters = ____ mL.397 kg = ____ g.013 kg = ____ g

Page 3: Lesson 29: I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. 5th Grade Module

5th Grade Module 2 – Lesson 29

Divide Decimals by Two-Digit Numbers

8.61 ÷ 21 = ____4.9 ÷ 14 = ____24 ÷ 16 = ____.32 ÷ 40 = ____8.4 ÷ 40 = ____

Page 4: Lesson 29: I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. 5th Grade Module

5th Grade Module 2 – Lesson 29

Application ProblemA one-year (52 week) subscription to a weekly

magazine is $39.95. Greg calculates that he would save $219.53 if he subscribed to the magazine instead of purchasing it each week at the store.

What is the price of the individual magazine at the store?

Page 5: Lesson 29: I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. 5th Grade Module

5th Grade Module 2 – Lesson 29

Application ProblemA one-year (52 week) subscription to a weekly

magazine is $39.95. Greg calculates that he would save $219.53 if he subscribed to the magazine instead of purchasing it each week at the store.

What is the price of the individual magazine at the store?

219.53 + 39.95 = 259.48

259.48 ÷ 52 = 4.99

Page 6: Lesson 29: I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. 5th Grade Module

5th Grade Module 2 – Lesson 29

Concept DevelopmentLamar has 1354.5 kilograms of potatoes to deliver in equal amounts to 18 stores. 12 of the stores are in the Bronx. How many kilograms of potatoes will

he deliver to stores in the Bronx?

Will the amount delivered to the Bronx be more or less than half of the

total amount? How do you know?

Page 7: Lesson 29: I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. 5th Grade Module

5th Grade Module 2 – Lesson 29

1354.5

12 stores in Bronx 1354.5 ÷ 18 = 75.25 75.25 x 12 = 903 kg

The stores in the Bronx receive 903 kg of potatoes.

Page 8: Lesson 29: I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. 5th Grade Module

5th Grade Module 2 – Lesson 29

Concept DevelopmentValerie uses 12 oz of detergent each week for her

laundry. If there are 75 oz of detergent in the bottle, in how many weeks will she need to buy a new

bottle of detergent?

Solution on next slide…

Page 9: Lesson 29: I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. 5th Grade Module

5th Grade Module 2 – Lesson 29

75 oz

How many 12’s would fit in 75?

Valerie will have to buy detergent after 6 weeks because she won’t have enough for a 7th week.

12 12 ?

Page 10: Lesson 29: I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. 5th Grade Module

5th Grade Module 2 – Lesson 29

Concept DevelopmentJim Nasium is building a tree house for his two

daughters. He cuts 12 pieces of wood from a board that is 128 inches long. He cuts 5 pieces that

measure 15.75 inches each, and 7 pieces evenly cut from what is left. Jim calculates that due to the

width of his cutting blade, he will lose a total of 2 inches of wood after making all the cuts. What is

the length of each of the seven pieces?

Solution on next slide…

Page 11: Lesson 29: I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. 5th Grade Module

5th Grade Module 2 – Lesson 29

128 inches

7 pieces from what’s left

Each of the 7 pieces is 6.75 inches long.

15.75 15.75 15.75 15.75 15.75 2

Page 12: Lesson 29: I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. 5th Grade Module

5th Grade Module 2 – Lesson 29

Concept DevelopmentThe area of a rectangle is 56.96 square meters. If

the length is 16 m, what is its perimeter?

Solution on next slide…

Page 13: Lesson 29: I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. 5th Grade Module

5th Grade Module 2 – Lesson 29

Area = 56.96

16

16

? ?

16 x ? = 56.96

The perimeter is 39.12 meters.

Page 14: Lesson 29: I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. 5th Grade Module

5th Grade Module 2 – Lesson 29

Concept DevelopmentA city block is 3 times as long as it is wide. If the

total distance around the block is 0.48 kilometers, what is the area of the block in square meters?

Solution on next slide…

Page 15: Lesson 29: I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. 5th Grade Module

5th Grade Module 2 – Lesson 29

width

length

The area of the block is 10,800 square meters.

60 60 60

60

One side

One side

One side

One side

.48 km480 m

480 ÷ 8 = 60 m per unit.60 x 180 = 10,800.

Page 16: Lesson 29: I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. 5th Grade Module

5th Grade Module 2 – Lesson 29

Get Ready to Complete theProblem Set on Your Own!

Complete Pages 2.H.21 & 2.H.22You will have 15 minutes to work.

Try your Best!

Page 17: Lesson 29: I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. 5th Grade Module

5th Grade Module 2 – Lesson 29

LET’S DEBRIEF• What did the divisor represent in each

equation?

• What did the unknown represent for each?

• How did that change the model you drew?

• Which is easier to draw?

Page 18: Lesson 29: I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. 5th Grade Module

5th Grade Module 2 – Lesson 29

EXITTICKETPage 2.H.23