1. UNIT 1: FACTORS & EXPONENTS
GREATEST COMMON FACTOR (GCF)
LEAST COMMON MULTIPLE (LCM)
EXPONENTS
SQUARE ROOTS
ORDER OF OPERATIONS

2. COMMON FACTORS METHOD #1
- USING A FACTOR TREE, FIND WHAT COMMON PRIME (ROOT) NUMBERS EACH HAS AND MULTIPLY THEM
METHOD #2
- LIST THE FACTORS FOR EACH NUMBER
- DETERMINE WHICH ARE COMMON
- FIND THE LARGEST

3. COMMON FACTORS METHOD #1
- FIND THE GREATEST COMMON FACTOR (GCF) FOR THE NUMBERS 36 AND 48.
2 x 2 x 3 x x 2 x 2 x 2 x 3
2 x 2 x 3 = 12

4. COMMON FACTORS
x 2 x 3 = 12 2 3 3 2 2 2

5. COMMON FACTORS METHOD #2 - LIST FACTORS
36 = 1 x x = 1 x x 12
2 x x x x 8
3 x x 16
36 – (1, 2, 3, 4, 6, 9, 12, 18, 36)
48 – (1, 2, 3, 4, 6, 8, 12, 16, 24, 48)
- COMMON (1, 2, 3, 4, 6, 12)
- GREATEST COMMON FACTOR (GCF) 12

6. COMMON MULTIPLES METHOD #1
- USING A FACTOR TREE, DETERMINE THE PRIME (ROOT) NUMBERS FOR EACH.
- CREATE A VENN DIAGRAM (CIRCLES) AND MULTIPLY WHATEVER PRIME NUMBERS ARE IN THE CIRCLES
METHOD #2
- LIST THE MULTIPLES OF EACH NUMBER
- CIRCLE THE MATCHING NUMBERS
- FIND THE LOWEST NUMBER

7. COMMON MULTIPLES METHOD #1
- FIND THE LEAST COMMON MULTIPLE (LCM) FOR THE NUMBERS 8 AND 12.
2 x 2 x x 2 x 3
2 x 2 x 2 x 3 = 24

8. COMMON MULTIPLES
x 2 x 2 x 3 = 24 2 3 2 2

9. COMMON MULTIPLES METHOD #2
8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104
12= 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
CIRCLE MATCHING
24, 48, 72
LEAST COMMON MULTIPLE (LCM) - 24

10. EXPONENTS We use powers to represent repeated multiplication
2 5 = 2 x 2 x 2 x 2 x 2 = 32
10 5 = 10 x 10 x 10 x 10 x 10 =
10 𝑤𝑜𝑢𝑙𝑑 𝑏𝑒 𝑐𝑎𝑙𝑙𝑒𝑑 THE BASE 5 would be called 𝐓𝐇𝐄 𝐄𝐗𝐏𝐎𝐍𝐄𝐍𝐓

11. SQUARE ROOTS
A square root is a product that when divided by a number we get the same number as an answer
25 = 25 ÷ 5 = 5
It is a perfect combination
ie x =

12. ORDER OF OPERATIONS BEDMAS Brackets Exponents (Square roots)
Division &
Multiplication
Addition &
Subtraction