lesson 2: squares and square roots
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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. - PowerPoint PPT PresentationTRANSCRIPT
Learning Outcome: Learn to find the squares and square roots of whole numbers.
LESSON 2: SQUARES AND SQUARE ROOTS
Recall: A factor is a number that divides evenly into another number.Ex. the factors of 8 are 1, 2, 4, and 8
Whole numbers that only have two factors are called prime numbers. Examples of prime numbers are: 1, 3, 7, 11, 13, 17 ….
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.
How do we find out if a number is a square number?
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)
2. Use factoring.
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
We say that 5 is the square root of 25.
We can write this √ 25 = 5
The symbol √ = square root
When we multiply a number by itself, we have a square number.
4 x 4 = 16 3 x 3 = 9 4² = 16 3² = 9
3. Multiply a Number by Itself
a) 5 b) 9c) 16
Find the square of:
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
Try This:
A square number has an odd number of factors. This number has 8 factors. Not a square number.
Solution:
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
Connect/Examples – Text pg. 12-14