Download Friday, December 9th 1. Write homework in your planner

Friday, December 9th
1. Write homework in your planner
- None
- Permission Slip
2. Today you will need
- Notebook
- Folder
- Journal
- Homework (Mixed # wkst)
Rhys C
Marcellus W
Three Ways to Simplify Fractions(Lowest
Terms):
1. Divide both numerator or denominator by
the GCF(listing factors way)
2. Divide both numerator or denominator until
you can't divide anymore
3. Make factor trees(prime factorization) to
find the GCF
What is the greatest
common factor?
The greatest common factor of two numbers is the largest
factor shared by both. You determine the GCF by calculating
all the factors of both numbers and finding the largest one
that is a factor of both.
Example: What is the GCF of 44 and 66?
Factors of 44: 1, 2, 4, 11, 22, 44
Factors of 66: 1, 2, 3, 11, 22, 33, 66
The greatest common factor of 44 and 66 is 22.
Find the GCF of the following
number pairs.
Factors of 18:
Factors of 24:
The greatest common factor is:
Factors of 36:
Factors of 54:
The greatest common factor is:
Steps
1. Find the prime factorization for numbers involved.
-for help with this, click this icon
2. Place the factors of each number on a venn diagram:
a. place common factors in the center
b. place those not common on the outer
circles under the number for which it is a
factor.
3. Multiply the common factors together to find the
greatest common factor.
You can also find the GCF of two
numbers using prime factorization.
Example:
36
6
x
36 = 2, 2, 3, 3
54 = 2, 3, 3, 3
54
6
9
3 x 2 3 x 2
x
6
3 x 3 3 x 2
What prime factors do 36 and 54 have in
common?
36 = 2, 2, 3, 3
54 = 2, 3, 3, 3
Multiply the common prime factors together to find
the GCF.
2 x 3 x 3 = 18
The GCF of 36 and 54 is 18.
Here is an example.
16 = 2 x 2 x 2 x 2
20 = 2 x 2 x 5
2
2
2
2
= common factor
Multiply the shared factors here:
Factors for 20
Need the
steps?
2 x 2 = 4 The GCF is 4.
Pull
Factors for 16
5
Let's try some. Place the
factor to the appropriate area.
12 = 2 x 2 x 3
18 = 2 x 3 x 3
Match to the
shadow to reveal
answers.
Factors for 18
Need the
steps?
Multiply the shared factors here:
2 x Click
3 = 6to reveal
answer.
The GCF
is 6.
Pull
Factors for 12
More Practice
24
36
24
36
Answers
here.
Find the GCF of the following
number pairs using the prime
factorization method.
8 and 24
Find the GCF of the following
number pairs using the prime
factorization method.
40 and 12
More Practice
15
60
15
Link to the National
Virtual Manipulatives
site here for more
practice.
60
Answers
here.
Review with a Quiz
Remember GCF
(Greatest Common Factor)
Find the GCF of
12 =
16 =
** Find the Greatest Common Factor(GCF).
1. 16, 24
16 _______________________________________
24 _______________________________________
Tic tac toe fractions