The Properties of Mathematics

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Warm UpOBJECTIVE: Students will be able to identify the properties of operations.Language Objective: Students will be able to recite the properties of operations.

Agenda

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Fill in the blanks with any operation:

, ,,

1. 9 8 6 = 112. 15 4 3 = 33. 2 5 3 = 21

Careful… the last one is tricky!

)(

Launch

Agenda

3

Evaluate the following expressions in two different ways. 1.

2.

92+7+13

92+ ( )92+ 7+13(20)

112 2 9 5. . 592

10 .90

99+13

2nd method

112

18 . 5 90

2nd method .. 592.

92 5

. 9

Explore: Marvin the Magician’s Cards

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Agenda

Marvin the Magician needs your help! He uses a deck of math cards for one of his tricks. However, only some cards are TRUE. Help Marvin find the TRUE cards.

4334

120 0TRUE! FALSE!

Examples

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Agenda

1st : Determine which cards are true and false. Be sure to support your reasoning.

Explore: Marvin the Magician’s CardsIn your groups:

2nd: For the true cards only, complete the worksheet provided.

Summary: Definitions

6

Agenda

138 813

125 512

919

4 0 4

2(53) (25)3

(4 2)8 4 (28)

150 0

Click on a card. Go to the Practice Activity

Summary: Definitions

7

Agenda

Changing the order of the numbers does not change the SUM.

Commutative Property of Addition

Let’s discuss the card:

138 813

Click to Return

ab b aAlgebraically

Key Words

Summary: Definitions

8

Agenda

Commutative Property of Multiplication

Changing the order of the numbers does not change the PRODUCT.

Let’s discuss the card:

125 512

Click to Return

ab baAlgebraically

Key Words

Summary: Definitions

9

Agenda

Multiplying a number by 1 leaves it unchanged.

Identity Property of Multiplication

Let’s discuss the card:

919

Click to Return

a1aAlgebraically

Key Words

Summary: Definitions

10

Agenda

Identity Property of Addition

Let’s discuss the card:

4 0 4

Adding a number by 0 leaves it unchanged.

Click to Return

a0 aAlgebraically

Key Words

Summary: Definitions

11

Agenda

When MULTIPLYING more than 2 numbers, the way we group them does not change the PRODUCT.

Associative Property of Multiplication

Let’s discuss the card:

2(53) (25)3

Click to Return

a(bc) (ab)cAlgebraically

Key Words

Summary: Definitions

12

Agenda

Associative Property of Addition

Let’s discuss the card:

(4 2)8 4 (28)

When ADDING more than 2 numbers, the way we group them does not change the SUM.

Click to Return

(ab)c a (bc)Algebraically

Key Words

Summary: Definitions

13

Agenda

Multiplying a number by 0 is always 0.

Zero Property of Multiplication

Let’s discuss the card:

150 0

Click to Return

a0 0Algebraically

Summary: Definitions

14

Agenda

Associative Property of Addition

Let’s discuss the card:

(4 2)8 4 (28)

When ADDING more than 2 numbers, the way we group them does not change the SUM.

Click to Return

(ab)c a (bc)Algebraically

Key Words

Associate with a GROUP of friends

Summary: Definitions

15

Agenda

Identity Property of Addition

Let’s discuss the card:

4 0 4

Adding a number by 0 leaves it unchanged.

Click to Return

a0 aAlgebraically

Key Words

Yourself!

Summary: Definitions

16

Agenda

Commutative Property of Multiplication

Changing the order of the numbers does not change the PRODUCT.

Let’s discuss the card:

125 512

Click to ReturnKey Words

Swap or Exchange

ab baAlgebraically

Summary: Definitions

17

Agenda

When MULTIPLYING more than 2 numbers, the way we group them does not change the PRODUCT.

Associative Property of Multiplication

Let’s discuss the card:

2(53) (25)3

Click to Return

a(bc) (ab)cAlgebraically

Key Words

Associate with a GROUP of friends

Summary: Definitions

18

Agenda

Changing the order of the numbers does not change the SUM.

Commutative Property of Addition

Let’s discuss the card:

138 813

Click to Return

ab b aAlgebraically

Key Words

Swap or Exchange

Summary: Definitions

19

Agenda

Multiplying a number by 1 leaves it unchanged.

Identity Property of Multiplication

Let’s discuss the card:

919

Click to Return

a1aAlgebraically

Key Words

Yourself!

Assessment- Exit Slip

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Agenda

1. Evaluate the expressionbelow. List the properties thatyou used.

12 (8 46)80

(128) 4680

2080 46

100 46

146

Associative Property

Commutative Property

2. Which property of multiplication is shown?

313

A. CommutativeB. AssociativeC. Identity