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Level Five > Number and Algebra

# Square Roots

Keywords:
Specific Learning Outcomes:

Solve problems that involve exponents and square roots.

Description of mathematics:

Number Framework Stage 8

Required Resource Materials:
Square cardboard pieces.
Calculators.
Activity:

### Using Materials

Problem: “Zoë builds a large square from 16 small square tiles.

How big is Zoë’s square?”

Get the students to build the large square out of 16 tiles. Then discuss its size. (Answer: 4 rows of 4 tiles.)

Examples: Build large squares built with these numbers of small squares and give their size: 4, 25, 9

### Using Imaging

Problem: “Zoë builds a large square from 36 small square tiles. Imagine how big the square is.”

Fold back to building the square if needed. (Answer: 6 by 6.)

Examples : Imagine large squares with these numbers of small squares and find their sizes: 49,  100,  81 ...

### Using Number Properties

Problem: “Zoë builds a large square from 961 small square tiles. Describe the square Zoë builds with the aid of a calculator.”

Discuss how √x or the √ or the button helps. (Answer: = √961 = 31.)

Examples: Large squares are made with these numbers of small squares. Describe the large squares: 207 936,  2 025,  622 521,  2 217 121 ...

## Powerful Numbers

Solve problems that involve exponents and square roots.

## Squaring

Solve problems that involve exponents and square roots.

## Four 4s

This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

## Locating Square Roots

Solve problems that involve exponents and square roots.

## Writing Very Large Numbers

Solve problems that involve exponents and square roots.