1. Positive Numbers and the Number Line

2. Unit 1 – Factoring Sums

3. Vocabulary
Factor (verb) – to express as a product of two or more factors.

4. Factoring Sums Procedure
Step 1: Find the GCF of the numbers in the sum
Step 2: Rewrite the original numbers as a multiplication table using the GCF
Step 3: Pull out the common factor and rewrite the remaining factors as a sum
(This will become more clear after we do a few examples…I promise)

5. Factoring Sums Example
Factor the following sum Step 1: The GCF is 9 Step 2: 18 9 × × 5 Step 3: 9(2 + 5)

6. Factoring Sums Example
Express the sum of each pair of numbers as a product of the greatest common factor of the number and another sum Step 1: The GCF is 7 Step 2: 35 7 × × 3 Step 3: 7(5 + 3)

7. Factoring Sums Example
Express the sum of each pair of numbers as a product of the greatest common factor of the number and another sum Step 1: The GCF is 12 Step 2: × × 5 Step 3: 12(4 + 5)

8. Independent Practice Express the sum of each pair of numbers as a product of the greatest common factor of the numbers and another sum.
7(5 + 13)
5( )
8(3 + 8)
3(7 + 6)