Transcript Associative Property - cmasemath

Arkansas Standards: NO.2.4.1 & NO.2.5.2
Presented by:
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: [email protected]
http://www.uark.edu/~k12 info/
Wiki: cmasemath.pbworks.com
GROUPING can change, the ORDER cannot change, &
THE ANSWER STAYS THE SAME!
Associative Property of Addition
GROUPING can change, the ORDER cannot change, &
THE ANSWER STAYS THE SAME!
(4 + 2) = 6
6 + 5 = 11
(2 + 5) = 7
4 + 7 = 11
Associative Property of Addition
(5 + 2) + 4 = A
5 + (2 + 4) = B
(5 + 2) = 7v
7 + 4 = 11
(2 + 4) = 6
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
GROUPING can change, the ORDER cannot change, &
THE ANSWER STAYS THE SAME!
Associative Property of Multiplication
GROUPING can change, the ORDER cannot change, &
THE ANSWER STAYS THE SAME!
(5 X 6 ) = 30
30 X 2 = 60
(6 X 2) = 12
5 X 12 = 60
Associative Property of Multiplication
GROUPING can change, the ORDER cannot change, &
THE ANSWER STAYS THE SAME!
(5 x 2) x 4 = A
2
5
v
(5 x 2) = 10
10
5 x (2 x 4) = B
Model this equation
using your cubes, grid
paper and colors.
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.
GROUPING can change, the ORDER cannot change, &
THE ANSWER STAYS THE SAME!
(6 - 4) = 2
2-1=1
(4 - 1) = 3
6–3 =3
Associative
Property of
SUBTRACTION?
ANSWERS
DID NOT
STAY THE
SAME!
GROUPING can change, the ORDER cannot change, &
THE ANSWER STAYS THE SAME!
( 18
6) = 3
3
(6
18
2=9
3) = 2
3=1
Associative
Property of
DIVISION?
ANSWERS
DID NOT
STAY THE
SAME!