5 distributive property.notebook
Do Now:
Identify the property shown:
1) 1 + 5 = 5 + 1
2) (a + b) + c = a + (b + c)
3) ab = bc
4) a(b + c) = ab + ac
September 09, 2015
5 distributive property.notebook
September 09, 2015
Distributive Property
Student Outcomes
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Students use the structure of an expression to identify ways to rewrite it.
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Students use the distributive property to prove equivalency of expressions. Standard: A.SSE.2, A.APR.1
5 distributive property.notebook
September 09, 2015
an expression with one or more terms
3
Number Game
How many numbers can you make using
the digits 1, 2, and 3, and only the
operations + and x?
You can use one digit, you can use 2 digits, or all 3 BUT you can not repeat them
5 distributive property.notebook
September 09, 2015
1
2
3
4
5
6
7
8
9
What seems to be the largest counting
number that can be made?
5 distributive property.notebook
September 09, 2015
Quick review:
Monomial x Binomial (applying the distributive property)
a) 5(x + 3) c) y(x + 9)
b) x(x ­ 8) d) 2a(4 + a) 5 distributive property.notebook
September 09, 2015
You try:
1) 3(c + 4) 3) b(x + 8)
2) a(a ­ 6) 4) 4b(5 + b)
Exercise 4
Roma says that collecting like terms can be an application of the distributive property. Is writing x + x = 2x an application of the distributive property?
5 distributive property.notebook
6
Practice Together: (Draw a diagram.)
1) (a + 2) (a + 3) September 09, 2015
5 distributive property.notebook
2) (a + 5) (a + 1)
3) (x ­ 1) (x + 6)
September 09, 2015
5 distributive property.notebook
4) ( x + 4)(x ­ 4)
5) (x + y)2
September 09, 2015
5 distributive property.notebook
Now You Try:
6) (x + 4)(x + 6)
7) (x + 8)(x + 2)
8) (x ­ 5)(x + 3)
9) (x + 7)(x ­ 8)
*10) (x ­ 1)(x ­ 10)
September 09, 2015