This document is a lesson plan on converting decimal division problems into whole number division problems using fractions. It contains examples of dividing multi-digit numbers with and without remainders. It also includes exercises asking students to estimate answers before dividing, compare their estimates to the exact answers, and interpret the meaning of remainders. The lesson teaches students to rewrite problems with decimal divisors or dividends as equivalent problems with whole number values by finding the largest common unit smaller than one.

1. Module 2 Lesson 14 The Division Algorithm—Converting Decimal Division into Whole Number Divisi
January 06, 2014
Lesson 12 Homework Review
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2. Module 2 Lesson 14 The Division Algorithm—Converting Decimal Division into Whole Number Divisi
January 06, 2014
Lesson 13 Homework Review
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3. Module 2 Lesson 14 The Division Algorithm—Converting Decimal Division into Whole Number Divisi
January 06, 2014
MODULE 2 Arithmec Operaons Including
Division of Fracons
Topic C: Dividing Whole Numbers and Decimals
Lesson 14: The Division Algorithm—Converng
Decimal Division into Whole Number Division
Using Fracons
Student Outcomes
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Students use the algorithm to divide mul‐digit numbers with and without remainders. Students compare their answer to esmates to jusfy reasonable quoents.
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Students understand that when they “bring down” the next digit in the algorithm, they are distribung, recording, and shiing to the next place value.
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4. Module 2 Lesson 14 The Division Algorithm—Converting Decimal Division into Whole Number Divisi
January 06, 2014
Example 1: Divide: 31,218 ÷ 132
First estimate, then divide for exact answer.
Finally, compare the two to see if reasonable.
Divide:
Estimate:
30,000 ÷ 100 = 300
132 ) 31,218
OR
30,000 ÷ 150 = 200
Compare: Is it reasonable?
300
236.5
200
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5. Module 2 Lesson 14 The Division Algorithm—Converting Decimal Division into Whole Number Divisi
January 06, 2014
Example 3:
A plane travels 3,625.26 miles in 6.9 hours. What is the plane’s unit rate?
Estimate:
4,000 ÷ 10 = 400
Divide:
How can we rewrite this using the same units???? (Note that there is a
decimal in the divisor.)
Answer in a sentence:
Compare: Is it reasonable?
E:
400
Q:
500
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6. Module 2 Lesson 14 The Division Algorithm—Converting Decimal Division into Whole Number Divisi
January 06, 2014
Exercises 1–7:
1. Daryl spent $4.68 on each pound of trail mix. He spent a total of $14.04.
How many pounds of trail mix did he purchase?
Estimate:
Divide:
Answer in a sentence:
Compare: Is it reasonable?
E:
Q:
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7. Module 2 Lesson 14 The Division Algorithm—Converting Decimal Division into Whole Number Divisi
January 06, 2014
2. Kareem purchased several packs of gum to place in gift baskets for $1.26
each. He spent a total of $8.82 . How many packs of gum did he buy?
Estimate:
Divide:
Answer in a sentence:
Compare: Is it reasonable?
E:
Q:
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8. Module 2 Lesson 14 The Division Algorithm—Converting Decimal Division into Whole Number Divisi
January 06, 2014
3. Jerod is making candles from beeswax. He has 132.72 ounces of beeswax.
If each candle uses 8.4 ounces of beeswax, how many candles can he make?
Will there be any wax left over?
Estimate:
Divide:
Answer in a sentence:
Compare:
E:
Q:
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9. Module 2 Lesson 14 The Division Algorithm—Converting Decimal Division into Whole Number Divisi
January 06, 2014
4. There are 20.5 cups of batter in the bowl. If each cupcake uses 0.4 cups of
batter, how many cupcakes can be made?
Estimate:
Divide:
Answer in a sentence:
Compare:
E:
Q:
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10. Module 2 Lesson 14 The Division Algorithm—Converting Decimal Division into Whole Number Divisi
January 06, 2014
5. In Exercises 3 and 4, how were the remainders, or extra parts,
interpreted?
In both Exercises 3 and 4, the remainders show that
there was not quite enough to make another candle
or cupcake. In the candle example, there was wax
le over that could be saved for the next me there is
more wax. However, in the cupcake example, the
leover baer could be used to make a smaller
cupcake, but it would not count as another whole
cupcake.
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11. Module 2 Lesson 14 The Division Algorithm—Converting Decimal Division into Whole Number Divisi
January 06, 2014
6) 159.12 ÷ 6.8 =
Estimate:
Divide:
Answer:
Compare:
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12. Module 2 Lesson 14 The Division Algorithm—Converting Decimal Division into Whole Number Divisi
January 06, 2014
7) 167.67 ÷ 8.1 =
Estimate:
Divide:
Answer:
Compare:
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13. Module 2 Lesson 14 The Division Algorithm—Converting Decimal Division into Whole Number Divisi
January 06, 2014
Closing
Describe the steps that you use to change a division queson with decimals to a
division queson with whole numbers?
ú If the divisor and or the dividend are not whole numbers, we find the largest
common unit, smaller than one, that allows us to rewrite each as a whole
number mulple of this common unit.
Please take out your exit ticket for Lesson 14, close your
binder, and complete the exit ticket. This will be collected.
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