1.I am able to identify properties of addition and multiplication. 2.I am able to use the properties to add and multiply numerical expressions mentally. Learning Targets
Ice Scraping Video Why do we need to know the properties of numbers? Is this You?
Changing the order of the values you are adding or multiplying does not change the sum or product. Commutative Property - NP Adding Multiplying
Changing the grouping of the values you are adding or multiplying does not change the sum or product. Associative Property - NP Adding Multiplying
The sum of any number and zero is the original number. The product of any number and 1 is the original number. Identity Property - NP
When you add a number and 0, the sum equals the original number. The additive identity is 0. additive identity When you multiply a number and 1, the product equals the original number. The multiplicative identity is 1.multiplicative identity Identity Property - NP
The product of any number and zero is zero. Multiplication Property of Zero
17 + x + 3 = 17 + 3 + x ( 36 x 2) 10 = 36 ( 2 x 10) km = km 1 Identifying the Properties - NP
Identifying the Properties 5 7 = 7 5 c 1 = c 7 + a = a + 7 5 (xy) = (5x) y
Carlos rented a set of golf clubs for $7 and a golf cart for $12. He paid a greens fee of $23. Find his total cost. How can the properties make this problem work mentally? How it Works
Real World Suppose you buy the school supplies shown at the left. Use mental math to find the cost of the supplies.
Suppose you buy school supplies costing $.45, $.65, and $1.55. Use mental math to find the cost of these supplies. Example – Mental Math - NP