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Properties of Math SWBAT identify the properties of operations.
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Do Now: Evaluate each expression in two different ways: Evaluate each expression in two different ways: 92 + 7 + 13 92 + 7 + 13 2 · 9 · 5 2 · 9 · 5
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Card Activity 1.With a partner, determine which cards are true and which are false. Be sure to support your reasoning 2.For the true cards ONLY, complete the worksheet. 3.You will have 15 minutes to complete this activity.
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Commutative Property of Addition 13 + 8 = 8 + 1313 + 8 = 8 + 13 Changing the order of the numbers does not change the sum. Algebraically: a + b = b + aAlgebraically: a + b = b + a
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Commutative Property of Multiplication 12 · 5 = 5 · 1212 · 5 = 5 · 12 Changing the order of the numbers does not change the product. Algebraically: a · b = b · aAlgebraically: a · b = b · a
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Identity Property of Multiplication 9 · 1 = 99 · 1 = 9 Multiplying a number by 1 leaves it unchanged. Algebraically: a · 1 = aAlgebraically: a · 1 = a
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Identity Property of Addition 4 + 0 = 44 + 0 = 4 Adding a number by 0 leaves it unchanged. Algebraically: a + 0 = aAlgebraically: a + 0 = a
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Associative Property of Multiplication 2(5 · 3) = (2 · 5)32(5 · 3) = (2 · 5)3 When multiplying more than 2 numbers, the way we group them does not change the product. Algebraically: a(bc) = (ab)cAlgebraically: a(bc) = (ab)c
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Associative Property of Addition (4 + 2) + 8 = 4 + (2+8)(4 + 2) + 8 = 4 + (2+8) When adding more than 2 numbers, the way we group them does not change the sum. Algebraically: (a + b) + c = a + (b + c)Algebraically: (a + b) + c = a + (b + c)
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Zero Property of Multiplication 15 · 0 = 015 · 0 = 0 Multiplying a number by 0 is always 0.Multiplying a number by 0 is always 0. Algebraically: a · 0 = 0Algebraically: a · 0 = 0
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Making it Stick Associative property of Addition Associate with a GROUP of friendsAssociate with a GROUP of friends
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Making it Stick Identity Property of Addition Yourself!
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Making it Stick Commutative Property of Multiplication Swap or ExchangeSwap or Exchange
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Practice Makes Perfect Complete the following worksheets independently.
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Exit Ticket 1.Evaluate the expression below and list the properties that you used. 12 + (8 + 46) + 8012 + (8 + 46) + 80 2. Which property of multiplication is shown? 3 · 1 = 3 a. Commutativea. Commutative b. Associativeb. Associative c. Identityc. Identity
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