1. Learning Outcome: Learn to find the squares and square roots of whole numbers.

2. Recall: A factor is a number that divides evenly into another number. Ex. the factors of 8 are 1, 2, 4, and 8

3. Whole numbers that only have two factors are called prime numbers. Examples of prime numbers are: 1, 3, 7, 11, 13, 17 ….

4. 1. Divide the number (Dividend). If both divisor and quotient are equal you have a square number. 25 ÷ 5 = 5 If Divisor = Quotient, then we have a square number.

5. Factor out all the factors of a number, if there is a odd number of factors, the number is a square number. 25: 1, 5, 25 (a factor that occurs twice is only written once)

6. 5 x 5 = 25 If we diagram all possible rectangles, one will have side lengths of equal units. The square has side lengths of 5 by 5

7. We say that 5 is the square root of 25. We can write this √ 25 = 5 The symbol √ = square root

8. When we multiply a number by itself, we have a square number. 4 x 4 = 16 3 x 3 = 9 4² = 16 3² = 9

9. a) 5 b) 9 c) 16

10. The factors of 136 are listed in ascending order: 136: 1, 2, 4, 8, 17, 34, 68, 136 Is 136 a square number? How do you know? HINT: Think about the investigate activity we did in class

11. A square number has an odd number of factors. This number has 8 factors. Not a square number.

12. Follow through the examples for more instruction on finding squares and square roots Once you feel you understand the concepts in the lesson move on to Practice Assignment