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Level Five > Number and Algebra

Locating Square Roots

Keywords:
Achievement Objectives:

Achievement Objective: Use prime numbers, common factors and multiples, and powers (including square roots).

Specific Learning Outcomes: 

Solve problems that involve exponents and square roots.

Description of mathematics: 

Number Framework Stage 8

Required Resource Materials: 
Table of Squares (Material Master 8-22)
Locating Square Roots (Material Master 8-23)
Activity: 

Problem: “Meriana designs a square swimming pool, which she wants to have an area of 75 m2.

Unfortunately the square root button on her calculator is damaged, so she will have to find another way of finding square roots.”

Stick these tables on the board from Material Master 8–22.

sqaureroots.

“How does the first table show the side of the pool is between 8 and 9 metres? How does the second table show the side of the pool is between 8.6 and 8.7 metres?”

squareroots2.

Explore filling in the squares in this table to locate √75. (Answer: It is between 8.66 and 8.67.)

Examples: Worksheet (Material Master 8–23).

Understanding Number Properties:

How could you find the square root to any desired accuracy of any number using only the square button on a calculator?

 


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