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# Multiplying Integers with Tiles

Student Expectation:. 7. th. Grade:. 7.1.2C. Use . models, such as concrete objects, pictorial models, and number lines, to add, subtract, multiply, and divide integers and connect the actions to algorithms. .

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## Presentation on theme: "Multiplying Integers with Tiles"— Presentation transcript:

Slide1

Multiplying Integers with Tiles

Student Expectation:

7

th

Grade:

7.1.2C

Use

models, such as concrete objects, pictorial models, and number lines, to add, subtract, multiply, and divide integers and connect the actions to algorithms. Slide2

MULTIPLICATION

Red and yellow tiles can be used to model multiplication.

Remember that multiplication can be described as repeated addition.

So 2 x 3 = ?

The University of Texas at Dallas

2 groups of 3 tiles = 6 tilesSlide3

MULTIPLICATION

2 x

-

3 means 2 groups of -3

The University of Texas at Dallas

2

x

-

3

=

-

6Slide4

MULTIPLICATION

Since 2 x 3 = 6 and 3 x 2 = 6, does it make sense that

-

3 x 2 = -6 ?

-3 x 2 = -6 is true. +2 x -3 =

-6 and -3 x +2 = -

6 belong to a fact family:

The University of Texas at Dallas

+

2 x

-

3 = -

6-3 x

+

2 =

-

6

-

6

÷

+

2 =

-

3

-

6

÷

-

3 =

+

2Slide5

MULTIPLICATION

Use your tiles to model each multiplication problem.

+

2 x +4 = ?

The University of Texas at Dallas

ANSWER

2 groups of

+

4

+

2 x

+

4 =

+

8Slide6

MULTIPLICATION

+

3 x

-3 = ?

The University of Texas at Dallas

ANSWER

3 groups of

-

3

+

3 x

-

3 =

-

9Slide7

MULTIPLICATION

-

2 x

+4 = ?

The University of Texas at Dallas

ANSWER

4 groups of

-

2

-

2 x

+

4 =

-

8

Use the fact family for

-

2 x

+

4 = ?

 We can’t show

-

2 groups of

+

4

+

4 x

-

2 = ?

 we can show 4 groups of

-

2Slide8

MULTIPLICATION

+

1,

-1 are opposites

the products are opposite

Since +2 and -2 are opposites of each other,

+2 x -

3 and -2 x -3 have opposite products.

The University of Texas at Dallas

+

1 x

+

3 =

+

3

-

1 x

+

3 =

-

3Slide9

MULTIPLICATION

To model

-

2 x -3 use 2 groups of the opposite of -3

The University of Texas at Dallas

-

2 x

-

3 =

+

6Slide10

MULTIPLICATION

Use tiles to illustrate

-

3 x -4 =?

The University of Texas at Dallas

ANSWER

3 groups of

+

4 (the opposite of

-

4)

-

3 x

-

4 =

+

12