1. November 18, 2013
Today:
Khan Academy Topics
Warm-Up (8 )
Begin Unit on Fractions, Decimals &
Percent
Greatest Common Factor
Class Work

2. Khan Academy for Nov. 24
1. Division with Fractions and Whole
Numbers Word Problems
2. Prime Factorization
3. Greatest Common Divisor
** Alt. Khan Printed Today
Gentle Reminder: Khan/Alt. Khan is 20% of your grade.

3. Warm-Up/Test Prep:
1.

4. Warm-Up/Test Prep:
Write the property described:
2. A tie score in a basketball game Reflexive Property
3. 36 inches = 1 yard, 1 yard = 3 feet, therefore,
36 inches = 3 feet. Transitive Property
4.
Symmetric
Property

5. Warm-Up/Test Prep:
5.
= .15
Substitution Property
Name the missing property
Statements
6. 1.
Reasons
2(3x + 4) = 56
1.
Given
2.
6x + 8 = 56
2. Distributive Property
3.
6x + 8 – 8 = 56 – 8
3. Subtraction POE

6. Warm-Up/Test Prep:
Name the missing property
7.
Distributive Property
8.
Substitution Property

7. Fractions/Decimals & Percent Unit

8. Vocabulary:
LCD: Lowest Common Denominator is sometimes used
when adding & subtracting fractions. But since we don't
need to find a common denominator when adding &
subtracting, we have no need for the LCD.
1. Greatest Common Factor (GCF): Used to simplify
fractions by dividing numerator and denominator by
the product of their COMMON factors.

9. Vocabulary:
2. Fundamental Theorem of Arithmetic: All integers
(whole numbers) greater than 1 are either prime
numbers, or can be written as a product of prime
numbers.
3. Prime Number: A number divisible only by 1
and itself.
4. Prime Factorization: Writing a number as a
product of prime numbers.
5. Prime Numbers from 2 - 100: 2 3 5 7 11 13 17 19 23
29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97

10. Vocabulary:
Factor: – A number that is multiplied by another to give
a product. "Numbers that go into larger numbers."
7 x 8 = 56
Factors

11. Practice Problems:
So what about our fraction 39/72? How do we use
Prime Factorization to simplify?
We take each number and break it up into the
product of its primes.
What factor or
factors do these
72
39
numbers have in
2
36 common?
3 13
2 18
Dividing top & bottom by 3,
the fraction is reduced to
2 9
13/24. It cannot be simplified
any further.
3 3

12. Practice Problems:
Tell whether the number is prime or composite (a nonprime number other than zero). If it is composite, write its
prime factorization using exponents.
Number : 24
1.
24
24
4
6
2 . 2. 2 . 3
Composite; It has positive
factors other then 1 and itself.
So, 24 = 2 x 2 x 2 x 3 = 23 x 3

13. Practice Problems:
Find the prime factorization for the following
numbers. Use exponents when possible.
140
22 x 5x 7
54
2x3x9
48 x2y
24 • 3 • x • x • y

14. GCF & Factoring:
Factoring is used to simplify expressions. What
is factored out is the GCF of all the terms.
First, find the GCF of the terms.
Then, write each term as a product of the GCF
and the remaining factors. We’ll start simple.
The GCF of the two terms is 5
The product of the GCF and the remaining factors is:
5(b + 3)

15. GCF & Factoring(3):
Factor each expression:
15bc3(5b + 4)
8n(2n - 5)
8pq(pq - 3q2 + 2)

16. Class Work:
4-4 & 6-2