# 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.

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 there in   15  ?    _____ b.  ______ berries.       Make groups of 4. How many groups? _____How many 4's are there in _____?    ______ c.  ______ apples.      Make groups of 3.   How many groups? ____How many 3's are there in _____?    ______ d.  ______ fish.      Make groups of 2.    How many groups? ____ How many 2's are there in _____?    ______ e.  ______ daisies.      Make groups of 6. How many groups? ____ How many 6's are there in _____?    ______ f.  ______ camels.     Make groups of 4.                       How many groups?  ____How many 4's are there in _____?    ______

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.”

 18 ÷ 6 = ? Think: If you DIVIDE 18 into groups of six, how many groups are there? How many groups of six are there in 18?  How many sixes are there in 18? Since 6 + 6 + 6 = 18, there are THREE sixes in 18. So,  18 ÷ 6 = 3

2. Write a division sentence to fit the pictures in exercise 1.

 a. _____ ÷ ____ = _____ b. _____ ÷ ____ = _____ c. _____ ÷ ____ = _____ d. _____ ÷ ____ = _____ e. _____ ÷ ____ = _____ f. _____ ÷ ____ = _____

3. Make a division sentence.

 a. Divide 10 rams  into groups of two. How many groups? _____ ÷ ____ = _____
 b. Divide _____ camels into groups of four. How many groups? _____ ÷ ____ = _____
 c. Divide _____ apples into groups of six. How many groups? _____ ÷ ____ = _____
 d. Divide _____ books into groups of three. How many groups? _____ ÷ ____ = _____
 e. Divide _____ scissors into groups of five. How many groups? _____ ÷ ____ = _____
 f. Divide _____ crosses into groups of three. How many groups? _____ ÷ ____ = _____

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?  _______ _______ = _______ 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? _______ _______ = _______ 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?

 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.