Relate Multiplication and Division

CCSS
Use multiplication
and division
within 100 toand
solvedivision
word problems
in
NS 2.3G3.OA.3
Use the inverse
relationship
of multiplication
to
situations involving equal groups, arrays, and measurement quantities, e.g., by using
compute and check results.
drawings and equations with a symbol for the unknown number to represent the problem.
UNDERLYING SKILLS AND CONCEPTS:
multiplication basic facts;
division basic facts
CCSS G3.OA.5
Apply properties of operations as strategies to multiply and
divide.2 Examples: If 6 x 4 = 24 is known, then 4 x 6 = 24 is also known. (Commutative
property of multiplication.) 3 x 5 x 2 can be found by 3 x 5 = 15, then 15 x 2 = 30, or by 5
x 2 = 10, then 3 x 10 = 30. (Associative property of multiplication.) Knowing that 8 x 5 =
Relate Multiplication and Division
a
K
ey Ide
Since multiplication and division are inverse operations,
you can use multiplication to check division.
E x am p l E
1
Jody had 54 buttons. She put the same number of buttons on 9 sweaters.
How many buttons did she put on each sweater?
Find 54 9.
54 9 6
She put 6 buttons on each sweater.
Check by multiplying:
E x am p l E
2
Norman has 4 pages of bird stamps. He has 8 stamps on each page.
How many bird stamps does he have?
Find 4 8.
4 8 32
He has 32 stamps.
Check by dividing:
32 stamps 4 pages 8 stamps per page
page 162
Chapter 14 – Lesson 3
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6 buttons 9 sweaters 54 buttons
Name
P RAC T I C E
Solve each problem. Check by using the inverse operation.
1. Carlos has 42 chairs.
He can put 6 at each table.
How many tables does he need?
7 tables
3. Catrina has 5 packages of buns.
There are 8 buns in each
package. How many buns does
she have in all?
2. There are 28 students in science
class. 4 of them share a balance
scale. How many balance scales
are needed for the class?
7 balance scales
4. Ted has 12 eggs. He is making
breakfast for 6 people. How
many eggs does each person get?
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40 buns
5. There are 30 glasses. Judy can
put 6 in one box. How many
boxes does she need?
5 boxes
Math
Reasoning
2 eggs
6. Gary has 6 cans of tennis balls.
Each can holds 3 balls.
How many tennis balls does
he have in all?
18 tennis balls
Number Sense
MR 2.6
7. Toby has 24 postcards. He is putting 3 postcards on each page of a
scrapbook. He says he needs 6 pages.
How can you check to find out if he is correct?
I can multiply 3 6. 3 6 18 not 24,
so he is not correct.
Chapter 14 – Lesson 3
page 163
MCX94.HW.CL.G3.FM&Lesson.v211
8/3/04
13:56
Page 110
Name
…at home!
P RAC T I C E
Solve each problem. Check by using the inverse operation.
1. Carla has 36 chairs.
She can put 6 at each table.
How many tables does she
need?
2. There are 24 students in gym
class. 4 of them share a ball.
How many balls are needed for
the class?
6 balls
6 tables
3. Bobby has 7 packages of buns.
There are 6 buns in each
package. How many buns does
he have in all?
4. Trish has 14 eggs. She is making
breakfast for 7 people. How
many eggs does each person get?
2 eggs
5. There are 48 glasses. Mark can
put 6 in one box. How many
boxes does he need?
6. Laila has 7 cans of tennis balls.
Each can holds 3 balls.
How many tennis balls does
she have in all?
21 tennis balls
8 boxes
Math
Reasoning
Number Sense
MR 2.6
7. Judy has 18 photographs. She is putting 4 photographs on each page
of a scrapbook. She says she needs 6 pages.
How can you check to find out if she is correct?
I can multiply 4 6. 4 6 24 not 18,
so she is not correct.
page 110
Home Resource and Homework
Chapter 14 Lesson 3
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42 buns
MCX94TEG3Ch01_32.v8.9.3 2/21/01 14:47 Page 301
Name
P RAC T I C E
Solve each problem. Check by using the inverse operation.
1. Carlos has 42 chairs.
He can put 6 at each table.
How many tables does he need?
2. There are 28 students in science
class. 4 of them share a balance
scale. How many balance scales
are needed for the class?
7 tables
7 balance scales
3. Catrina has 5 packages of buns.
There are 8 buns in each
package. How many buns does
she have in all?
4. Ted has 12 eggs. He is making
breakfast for 6 people. How
many eggs does each person get?
C – © CSL Associates, Inc. All rights reserved.
40 buns
2 eggs
5. There are 30 glasses. Judy can
put 6 in one box. How many
boxes does she need?
6. Gary has 6 cans of tennis balls.
Each can holds 3 balls.
How many tennis balls does
he have in all?
5 boxes
Math
Reasoning
18 tennis balls
Number Sense
MR 2.6
7. Toby has 24 postcards. He is putting 3 postcards on each page of a
scrapbook. He says he needs 6 pages.
How can you check to find out if he is correct?
I can multiply 3 6. 3 6 18 not 24,
so he is not correct.
Chapter 14 – Lesson 3
Student Book Page
page 163
Name
…at home!
P RAC T I C E
Solve each problem. Check by using the inverse operation.
1. Carla has 36 chairs.
She can put 6 at each table.
How many tables does she
need?
2. There are 24 students in gym
class. 4 of them share a ball.
How many balls are needed for
the class?
6 balls
6 tables
3. Bobby has 7 packages of buns.
There are 6 buns in each
package. How many buns does
he have in all?
4. Trish has 14 eggs. She is making
breakfast for 7 people. How
many eggs does each person get?
2 eggs
5. There are 48 glasses. Mark can
put 6 in one box. How many
boxes does he need?
6. Laila has 7 cans of tennis balls.
Each can holds 3 balls.
How many tennis balls does
she have in all?
21 tennis balls
8 boxes
Math
Reasoning
Number Sense
MR 2.6
7. Judy has 18 photographs. She is putting 4 photographs on each page
of a scrapbook. She says she needs 6 pages.
How can you check to find out if she is correct?
I can multiply 4 6. 4 6 24 not 18,
so she is not correct.
page 110
Home Resource and Homework
Chapter 14 Lesson 3
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42 buns