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LESSON 2: SQUARES AND SQUARE ROOTS

LESSON 2: SQUARES AND SQUARE ROOTS. Learning Outcome: Learn to find the squares and square roots of whole numbers. Recall : A factor is a number that divides evenly into another number. Ex. the factors of 8 are 1, 2, 4, and 8.

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LESSON 2: SQUARES AND SQUARE ROOTS

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  1. LESSON 2: SQUARES AND SQUARE ROOTS 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. How do we find out if a number is a square number? 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. 2. Use factoring. • 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. 3. Multiply a Number by Itself 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. Find the square of: • 5 • 9 • 16

  10. Try This: 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. Solution: • A square number has an odd number of factors. This number has 8 factors. Not a square number.

  12. Connect/Examples – Text pg. 12-14 • 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

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