**"Squares"**

## Grades 5 to 8 Wholesome Rectangles

*By toni On 15 October, 2017 · Leave a Comment*

This activity is about rectangles with whole number dimensions. With other lengths and breadths there are infinitely many possible rectangles so here we just stick to whole numbers.

How many rectangles can you make with perimeter 12 units?

What do you know about rectangles? What is the smallest rectangle that you can […]

## Grades 7 to 10 Painted Cube

*By toni On 5 November, 2016 · 22 Comments*

Imagine a large cube made up from 27 small red cubes each measuring 1 cm by 1 cm by 1 cm. What is its volume?

Imagine dipping the large cube into a pot of yellow paint so the whole outer surface is covered. What is its surface area?

Now imagine breaking the […]

## Grades 5 to 8 – Quad Match

*By toni On 9 August, 2016 · 2 Comments*

INDIVIDUAL OR WHOLE CLASS ACTIVITY

Sort these quadrilaterals into 4 sets of 4 and describe the properties of each set.

.GROUP ACTIVITY – groups of 4

Cut out 16 cards and mix them up.

Give each member of the group 4 cards. They must exchange cards one-to-one aiming for each member to […]

## Grades 10 to 12 Geoprob

*By toni On 29 March, 2016 · Leave a Comment*

The point E is inside the square ABCD and AEB is an equilateral triangle. Find the angles EBC, BEC and ECD and give reasons for your answers.

Click for Teacher-Notes-GEO-PROB.

## Grades 9 to 12 – Trisquares

*By toni On 2 June, 2015 · 6 Comments*

These ‘trisquares’ are made up of three squares and each has an area of 3 square units.

Can you fit them together to make an enlargement of the shape? What is its area?

Can you fit trisquares together to make enlargements of scale factors 3, 4 and 5? What are their areas?

Is it […]

## Grades 6 to 10 Tangram Fractions

*By toni On 5 May, 2015 · 4 Comments*

This is a classic Chinese Tangram. Each of the people illustrated, and many convex polygons, can be made with the 7 pieces and there are hundreds of other puzzles based on this tangram.

Can you find a way to fold a sheet of paper so that you can cut out the tangram pieces accurately […]

## Grades 4 to 7 Fractions in a Square

*By toni On 29 August, 2014 · 4 Comments*

Squares 1, 2 and 3 all have edges of length 1 unit. Some edges are divided into lengths of ½ and ¼.

The squares are split up into smaller shapes.

What can you say about those shapes and their properties?

Which shapes are similar?

The squares have area 1 square unit. What are the […]

## Grades 5 to 10 Is a Square a Rectangle?

*By toni On 5 January, 2014 · 4 Comments*

Make a record of all the rectangles that you can find in this shape.

Which rectangles are exactly the same (congruent)?

Which rectangles are similar?

Notes for Teachers – Is a Square a Rectangle?

Is a Square a Rectangle – Template

This problem is adapted from the NRICH task with the […]

## Grades 6 to 9 Square Fence

*By toni On 23 March, 2013 · 7 Comments*

A fence is built around a square field.

Suppose another fence is built exactly one metre longer so the path between the two fences is the same width along the edges of the field. How wide would this path be?

Would a mouse be able to run along it?

Could a farmer drive […]

## Grades 8 to 12 Not-So-Square Fence

*By toni On 22 March, 2013 · 5 Comments*

A fence is built around a square field.

Suppose another fence is built exactly one metre longer so the path between the two fences is the same width all the way round including at the corners of the field.

How wide would this path be?

Would a mouse be able to run along it? […]

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