The Properties of Mathematics 1
The Properties of Mathematics 1. Warm Up OBJECTIVE: Students will be able to identify the properties of operations. Language Objective: Students will.
Apr 01, 2015
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The Properties of Mathematics
1
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
2
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
4
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
5
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
20
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
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