# Multiplying Integers with Tiles  2017-10-13 86K 86 0 0

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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. . ID: 595570 Download Presentation

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## Multiplying Integers with Tiles

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Slide1

Multiplying Integers with Tiles

Student Expectation:

7

th

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 tiles

Slide3

MULTIPLICATION

2 x -3 means 2 groups of -3

The University of Texas at Dallas

2

x

-

3

=

-

6

Slide4

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 =

+

2

Slide5

MULTIPLICATION

Use your tiles to model each multiplication problem.+2 x +4 = ?

The University of Texas at Dallas

2 groups of

+

4

+

2 x

+

4 =

+

8

Slide6

MULTIPLICATION

+3 x -3 = ?

The University of Texas at Dallas

3 groups of

-

3

+

3 x

-

3 =

-

9

Slide7

MULTIPLICATION

-2 x +4 = ?

The University of Texas at Dallas

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

-

2

Slide8

MULTIPLICATION

+1, -1 are opposites the products are oppositeSince +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 =

-

3

Slide9

MULTIPLICATION

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

The University of Texas at Dallas

-

2 x

-

3 =

+

6

Slide10

MULTIPLICATION

Use tiles to illustrate -3 x -4 =?

The University of Texas at Dallas

3 groups of

+

4 (the opposite of

-

4)

-

3 x

-

4 =

+

12