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Associative Property

CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center WAAX 202 #1 University of Arkansas Fayetteville, Arkansas 72701 (479) 575-3875 (479) 575-5680 (FAX) e-mail: cej001@uark.edu

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Associative Property

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  1. CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center WAAX 202 #1 University of Arkansas Fayetteville, Arkansas 72701 (479) 575-3875 (479) 575-5680 (FAX) e-mail: cej001@uark.edu http://www.uark.edu/~k12 info/ Wiki: cmasemath.pbworks.com Associative Property Arkansas Standards: NO.2.4.1 & NO.2.5.2 Presented by:

  2. Associative Property GROUPING can change, the ORDER cannot change, & THE ANSWER STAYS THE SAME! Magician Martian Dancer Magician Martian Dancer Associative Property of Addition

  3. GROUPING can change, the ORDER cannot change, & THE ANSWER STAYS THE SAME! 4 5 5 4 4 2 2 2 5 Magicians Martians & Dancers Magicians Martians & Dancers 11 11 Magician Martian Dancer (4 + 2) = 6 6 + 5 = 11 Magician Martian Dancer (2 + 5) = 7 4 + 7 = 11 Associative Property of Addition

  4. Associative Property 1st 2nd 3rd (5 + 2) + 4 = A 5 + (2 + 4) = B (5 + 2) = 7 v (2 + 4) = 6 7 + 4 = 11 A = 11 5 + 6 = 11 B = 11 GROUPING can change, the ORDER cannot change, & THE ANSWER STAYS THE SAME! When we roll the dice write down one equation, using grouping symbols. Model the equation using cubes. Then color the model on the grid paper. Be sure to do what is in the parenthesis first. You will need to use 4 different colors of cubes and four different colors on the grid paper. Be prepared to share your work with the class. Associative Property of Addition

  5. Associative Property GROUPING can change, the ORDER cannot change, & THE ANSWER STAYS THE SAME! ? ? Associative Property of Multiplication

  6. Associative Property GROUPING can change, the ORDER cannot change, & THE ANSWER STAYS THE SAME! 5 5 5 6 6 6 2 2 60 (5 X 6 ) = 30 30 X 2 = 60 60 (6 X 2) = 12 5 X 12 = 60 Associative Property of Multiplication

  7. GROUPING can change, the ORDER cannot change, & THE ANSWER STAYS THE SAME! 1st 2nd 3rd Associative Property (5 x 2) x 4 = A 5 x (2 x 4) = B 2 5 Model this equation using your cubes, grid paper and colors. 10 (5 x 2) = 10 v 4 Associative Property of Multiplication 10 x 4 = 40 A = 40 When we roll the dice write down one equation, using grouping symbols. Model the equation using cubes. Then color the model on the grid paper. Be sure to do what is in the parenthesis first. Be prepared to share your work with the class.

  8. Associative Property GROUPING can change, the ORDER cannot change, & THE ANSWER STAYS THE SAME! 6 4 1 1 6 4 1 1 Associative Property of SUBTRACTION? (6 - 4) = 2 2 - 1 = 1 3 6 4 1 ANSWERS DID NOT STAY THE SAME! (4 - 1) = 3 6 – 3 = 3

  9. Associative Property GROUPING can change, the ORDER cannot change, & THE ANSWER STAYS THE SAME! 18 6 3 1 18 6 3 1 Associative Property of DIVISION? ( 18 6) = 3 3 3 = 1 18 6 3 9 ANSWERS DID NOT STAY THE SAME! ( 6 3) = 2 18 2 = 9

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