Vocab
What are the numbers being multiplied in an equation called?
factors
Give me an example of using the Zero Property of Multiplication
Ex: 0x3=3
or any number multiplied by 0 always equals 0
What pattern do you notice in the column/row that has the factor of 3?
you skip count by 3's
there is an even, odd pattern
Is the product of 4x5 even or odd?
even
Which property did you use?
0
Zero Property
Which property states:
the product of zero and any number is zero
Zero Property of Multiplication
Give me an example of the Identity Property of Multiplication.
Ex: 1x8=8
or any number multiplied by 1 equals that number
What pattern do you notice in the column/row that has the factor of 4?
you skip count by 4's
the pattern is all even numbers
Is the product of 4x(3+6) even or odd?
even
Solve 1x10
Which property did you use?
10
Identity Property
Which property states:
that the product of any number and 1 is that number.
Identity Property of Multiplication
Give me an example of the Associative Property and solve it.
Ex: 3x(5x4) would be (3x5)x4= 60
What pattern do you notice in the column/row that has the factor of 10?
you skip count by 10's
the pattern is even.
there will always be a 0 in the ones place.
Use a 4's fact to solve 8x9
4x9=36 (first find the 4's fact)
36=36=72 (then double it for your answer)
Solve 7x(2x2)
Use the Associative Property to rewrite this equation
28
(7x2)x2
Which property states:
that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.
Distributive Property of Multiplication
Give me an example of the Distributive Property
look at example
What even or odd pattern do you see in the products?
0,4,8,12,16,20,24,28,32,36,40
Even pattern
The musician works for 10 hours at the concert. There are 7 concerts each week. How many hours does the musician work each week?
10x7=70 hours
Drawn array for 3x5
Break it into 2 smaller arrays
Use the Distributive Property to solve
Ex: 3x(2+3)
(3x2) + (3x3)
6 + 9= 15
Which property states:
when the grouping of factors is changed, the product remains the same.
Associative Property of Multiplication
Give me 2 examples of the Distributive Property using the equation 6x7
6x(4+3)
6x(5+2)
6x(1+6)
Describe how you would use the Commutative Property to find the product of two facts on the multiplication table.
I would choose a fact I know, for example 3x4. Then I would find the column for the 3 instead of the row for 3. Next I would find the row for 4. I would write the same product where the row for 4 and the column for 3 meet to show 8x3.
Use the Distributive Property to solve this problem:
6x8
6x8= 6x (4+4)
(6x4) + (6x4)
24 + 24= 48
Use the Distributive Property with multiplication and subtraction to solve the equation 4x9.
4x(10-1)=
(4x10) - (4x1)=
40-4= 36