Division as making groups
This is a complete lesson with teaching and exercises about the division concept as making groups of certain size (a.k.a. measurement division), meant for third grade. Students make groups of certain size using the visuals, and write the division sentence. They also draw objects to match the divisions, solve word problems, and explore patterns in division tables.
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There are 12 daisies. Make groups of 3.
How many groups? Four groups. How many 3's are there in 12? Four. |
1. Divide into groups.
| a. 15
carrots. Make groups of 5.
How many groups? _____ How many 5's
are |
b. ______ berries. Make groups of 4.
How many groups? _____ How many 4's
are |
c. ______ apples.
How many groups? ____ How many 3's are |
| d. ______ fish. Make groups of 2.
How many groups? ____ How many 2's are |
e. ______ daisies. Make groups of 6.
How many groups? ____ How many 6's are |
f. ______ camels. Make groups of 4.
How many groups? ____ How many 4's are |
DIVIDE... 12 dogs into groups of four. How many groups? Three How many 4's in 12? ______ 12 ÷ 4 = 3 ”Twelve divided by four is three.” |
DIVIDE... 15 elephants into groups of three. How many groups? _______ How many 3's in 15? _______ 15 ÷ 3 = 5 “Fifteen divided by three is five.” |
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2. Write a division sentence to fit the pictures in exercise 1.
| a. _____ ÷ ____ = _____ | b. _____ ÷ ____ = _____ | c. _____ ÷ ____ = _____ |
| d. _____ ÷ ____ = _____ | e. _____ ÷ ____ = _____ | f. _____ ÷ ____ = _____ |
3. Make a division sentence.
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4. Draw sticks. Divide them into groups to fit the division sentence.
| a. 18 ÷ 3 = ______ |
b. 24 ÷ 2 = ______ |
| c. 21 ÷ 3 = ______ |
d. 25 ÷ 5 = ______ |
| e. 15 ÷ 5 = ______ |
f. 24 ÷ 8 = ______ |
5. Make groups by circling dots and write a division sentence.
| a. groups of 4
_____ ÷ 4 = ____ |
b. groups of 2
_____ ÷ 2 = ____ |
c. groups of 6
_____ ÷ 6 = ____ |
d. groups of 3
_____ ÷ 3 = ____ |
| e. groups of 5
_____ ÷ 5 = ____ |
f. groups of 7
_____ ÷ 7 = ____ |
g. groups of 6
_____ ÷ 6 = ____ |
h. groups of 10
_____ ÷ 10 = ____ |
6.
Solve the word problems. Write a division or a multiplication for each problem.
The box
is for the × or ÷ symbol.
| a. The class has
20 students. You can fit five students into a van. How many vans are needed? _______ |
b. Ken placed 30 marbles in rows of 5. How many rows did he get? _______ |
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c. Erica packed hairpins in bags. She put 20 pins in each bag and filled four bags. How many pins were there? _______ |
d. Kelly
packaged 28 T-shirts in bags. She put four shirts in each bag. How many bags did she use? _______ |
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e. Brian has 16 poster boards. He needs four of them to make a big poster board. How many big ones can he make? _______ |
f. Marlene studied three hours each day for seven days. How many hours did she spend studying in total? _______ |
7. Solve. You can draw to help. Can you find a pattern?
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a. 4 ÷ 2 = _____ 6 ÷ 2 = _____ 8 ÷ 2 = _____ 10 ÷ 2 = _____ 12 ÷ 2 = _____ 14 ÷ 2 = _____ 16 ÷ 2 = _____ ______ ÷ 2 = _____ ______ ÷ 2 = _____ |
b. 20 ÷ 10 = _____ 30 ÷ 10 = _____ 40 ÷ 10 = _____ 50 ÷ 10 = _____ _______ ÷ 10 = _____ _______ ÷ 10 = _____ _______ ÷ 10 = _____ _______ ÷ 10 = _____ _______ ÷ 10 = _____ |
c. 10 ÷ 5 = _____ 15 ÷ 5 = _____ 20 ÷ 5 = _____ 25 ÷ 5 = _____ _______ ÷ 5 = _____ _______ ÷ 5 = _____ _______ ÷ 5 = _____ _______ ÷ 5 = _____ _______ ÷ 5 = _____ |
This lesson is taken from Maria Miller's book Math Mammoth Division 1, and posted at www.HomeschoolMath.net with permission from the author. Copyright © Maria Miller.
Math Mammoth Division 1
A self-teaching worktext for 3rd grade that covers division concept, division & multiplication fact families, word problems, division facts, remainder, zero and one in division, and more.Download ($3.70). Also available as a printed copy.
