Square and Cube Numbers

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Presentation transcript:

Square and Cube Numbers 27/11/2018 Learning Objectives: Know what square and cube numbers are Able to calculate square and cube numbers Able to calculate square root and cube roots

Square Numbers Square Numbers: a number multiplied by itself 1 x 1 = 1 2 1 3 4 1 2 3 4 1 x 1 = 1 2 x 2 = 4 3 x 3 = 9 4 x 4 = 16 Square Numbers: a number multiplied by itself

Square Numbers What is the answer to the following? 52 92 112

Square roots A square root is the opposite of a square number It is a number which, when multiplied by itself, produces the given number Example: √16 = 4 √49 = 7

Your turn… Page 76, Question 8 Page 78, Question 1 (a – e)

Cube Numbers Cube Numbers: a number multiplied by itself three times 2 1 3 1 1 2 2 3 3 1 x 1 x 1 = 1 2 x 2 x 2 = 8 3 x 3 x 3 = 27 Cube Numbers: a number multiplied by itself three times

Cube Numbers What is the answer to the following? 43 103 173

Cube roots A cube root is the opposite of a cube number It is a number which, when multiplied by itself three times, produces the given number Example: √125 3 = 5 3 √729 = 9

Starter 62 √49 192 √2209 43 133 3 √64 3 √6859

Indices Learning Objectives: Able to calculate square and cube numbers 27/11/2018 Learning Objectives: Able to calculate square and cube numbers with and without a calculator Able to calculate square and cube roots with and without a calculator Able to calculate any power with a calculator

Your turn… Calculate the following without a calculator: 63 b) 53 c) 73 d) 23 Calculate the following with a calculator: 153 b) 223 c) 0.83 d) (-5)3 Calculate the cube root of the following with a calculator: 4096 b) 5832 c) 2.197 d) 19683

Your turn… Page 80 – 81 Question 1, 4, 6

Plenary Which is larger? 36 or 63? 47 or 39? Write an estimate for √27