Chapter 13; Connecting Multiplication and Division

Lesson 1 Exploring Division

Multiply to put equal groups together.
Divide to separate into equal  groups.

Investigation ... Use pieces of cereal or plastic chips to complete the table.

Counters How many equal groups? How many in each group?
10 5 ?
12 4 ?
12 6 ?
15 ? 3
16 ? 4
18 6 ?

How does knowing multiplication facts help you solve division problems?

 

Lesson 2 Connecting Subtraction and Division

Division is repeated subtraction.

  15

 -  5

 10

 10

 - 5

   5

   5

 - 5

   0

  or  15 / 5  =  3
 

  24

  - 6

   18

 

  18

   - 6

   12

   

12

  -  6

     6

 

   6

  - 6

    0

   or    24 / 6 = 4

Try this on your own.... 

        35

      -  7   continue subtracting and then write a division problem.

 

You can divide using pictures to create equal sets. 

Try this on your own...

  1. Create a number line going from 0 to 20 and the divide 18 by 2.
  2. Draw a picture of 16 cats and divide the cats into groups of 4.

Lesson 3 Relating Multiplication and Division

A division sentence has 3 parts.

  1. The dividend is the number being divided.
  2. The divisor is the number that divides the dividend.
  3. The answer is the quotient.

 

Multiplication and division are opposites, or inverse operations.

You can use an array to help you divide.

Click on these sites for further exploration;

Inverse Relationship between Multiplication and Division

The Inverse Relationship between Division and Multiplication

 Virtual Manipulative: Rectangle Division

Use arrays to find the quotient;  Write two ways to solve the problem using division and two ways write a multiplication problem for the arrays.

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2.

3.

4.

5.

6.

7.

8.

Lesson 4  Fact Families

A fact family is a set of related multiplication and division sentences that use the same numbers,

Try it on your own.  Finish the table creating fact families for the arrays.

Click of these sites for further exploration;

Go Figure
dividermachine

Lesson 5 Practicing Division Facts

You can use your knowledge of multiplication facts to help you solve division problems.

Click on these sites for further exploration;

Checking Division
Jumpin' Jehosaphat the Counting Sheep (Java Version)

Lesson 6  Choosing Division or Multiplication in Problem Solving

There are 5 teams playing basketball on the playground.  Each team has five players.  Four kids are jumping rope.  How many kids are playing basketball?

Would you multiply or divide to find the answer?

Write a number sentence to show how many kids are playing basketball.

 

Susie has 30 M & Ms in her hand if she shares equally with four of her friends, how many M&M's would each child get to eat?

Would you multiply or divide to find the answer?

Write a number sentence to show how many M&M's each child gets.

 

There are 16 children in our class and we have 4 parents to help chaperone our field trip.  How many children should each parent supervise on our field trip?

Would you multiply or divide to find the answer?

Write a number sentence to show how you can figure out how many children each parent will chaperone.

Check out these sites for problem solving;

Interactive division activity Home Page Necklace in a Box

mystery picture division exercise

 

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