1-4 6th grade math Addition Properties.

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Presentation transcript:

1-4 6th grade math Addition Properties

Objective To use addition properties and mental math strategies to compute mentally Why? To help you add mentally and get a rounded estimate to an addition problem.

California State Standards AF 1.3: Apply … the commutative, associative properties to evaluate expressions … MR 2.0: Use strategies, skills, and concepts in finding solutions.

Vocabulary Mental Math Commutative Property Associative Property The process of producing an exact answer without pencil and paper or other computational aids. Commutative Property The order in which numbers are added does NOT affect the sum. (Just which the order.) 8 + 12 = 12 + 8 Associative Property The way in which addends are grouped does NOT affect the sum. (Keep the same order, but switch around the parentheses.) 7 + (11 + 5) = (7 + 11) + 5 Identity Property The sum of any number and zero (0) is that number. 45 + 0 = 45

Vocabulary Compatible Numbers Method Group together numbers that are easily computed mentally 76 + 68 + 14 = (76 + 14) + 68 = 90 + 68 = 158 Break-Apart Method Break-apart numbers to have easier numbers to work with. 128 + 64 = (128 + 60) + 4 = 188 + 4 = 192 Compensation Method Change one number to make it easy to use. Then change the other number to compensate (adjust). Imagine a balance. 173 + 16 = (173 + 7) + (16 – 7) = 180 + 9 = 189

How to Use Addition Properties 1) Decide whether to use the Compatible Number Method, or Break-Apart Method or Compensation Method 2) Apply the rules to solve either one. 3) Check your work. Choose a strategy and compute mentally. A) 54 + 29 Use the break-apart strategy. = (54 + 20) + 9 = 74 + 9 = 83 B) 41 + 55 + 9 Use the compatible numbers strategy. = (41 + 9) + 55 = 50 + 55 = 105

Try It! Compatible Numbers = (28 + 32) + 74 = 60 + 74 = 134 2) Compensation Method = (325 – 5) + (225 + 5) = 320 + 230 = 550 3) Break-Apart Method = (88 + 60) + 4 = 148 + 4 = 152 4) Compatible Numbers = (124 - 4) – (79 – 4) = 120 – 75 = 45 Choose a strategy and compute mentally. 28 + 74 + 32 325 + 225 88 + 64 124 - 79

Objective Review To use addition properties and mental math strategies to compute mentally Why? You can now add mentally and get a rounded estimate to an addition problem. Addition properties and mental math strategies can be used to find exact answers without using pencil and paper.

Independent Practice Complete problems 6-17 Copy original problem first. Show all work! If time, complete Mixed Review: 18-23 If still more time, work on Accelerated Math.