Locating Square Roots

Achievement Objectives

NA5-2: Use prime numbers, common factors and multiples, and powers (including square roots).

AO elaboration and other teaching resources

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?

Add to plan

Level Five