**"Lesson Activities"**

## Years 6 to 8 (Area): Can you help these Farmers?

*By Elizabeth Turok On 5 September, 2019 · Leave a Comment*

A large piece of land, divided into small plots, belongs to 5 different farmers.

Below is a plan of the area as the land is presently divided.

All the plots labelled (a) belong to farmer (a).

All the plots labelled (s) belong to farmer (s) and so on.

## Years 7 to 10 ALGEBRAREA – Product of two brackets and area

*By Kwethemba Moyo On 15 August, 2019 · Leave a Comment*

1. You have 2 blue shapes, 3 green and 5 brown. Describe their properties.

2. Find the areas in square units of the 3 pieces blue, green and brown.

3. Build one big geometrical shape using all 10 pieces, placing them edge to edge. Draw […]

## Years 6 to 8 Bananas, Clock, and Hexagon

*By Tejumade Ogundipe On 12 August, 2019 · Leave a Comment*

Note: The symbols may be slightly different. Use the subtle differences in the images in working out your answer.

Click here to download the Notes for Teachers.

This puzzle is adapted from puzzlebrain.com.

## Years 6 to 8 Properties of parallelograms

*By Barrie Barnard On 12 August, 2019 · Leave a Comment*

We take it that you know that in a parallelogram both pairs of opposite sides are parallel.

In this investigation you will discover some other properties of parallelograms.

Step 1: Use two rulers with different widths to draw a parallelogram on tracing paper or baking paper.

Make sure that it is not a […]

## Years 6 to 12 Flower of Life

*By toni On 16 July, 2019 · Leave a Comment*

Describe the picture? What do you notice? Talk with your friends about it. What shapes can you see in it?

Describe the different symmetries. Draw the picture yourself. Draw your own designs using this idea. Can you explain how this 2-dimensional picture appears to show a 3-dimensional object?

You could use paperclip […]

## Years 6 to 12 Ishango Bone

*By toni On 9 July, 2019 · Leave a Comment*

The numbers 3, 5, 7, 11, 13, 17 and 19 are prime numbers. Can you make a total of 60 from four of these numbers?

One of three columns of tally marks on The Ishango Bone gives the answer to this question. Found in the Ishango region of the Democratic Republic of […]

## Years 8 – 12 Elephant Dreaming

*By toni On 3 July, 2019 · Leave a Comment*

Copy the picture to draw this spiral. Then create your own elephant. The numbers in the centres of the squares give the radii of the quarter circles that you need to draw.

What do you notice about this sequence of numbers 1, 1, 2, 3, 5, 8, 13, 21 … ? […]

## Years 4 to 12 Table of Tables

*By toni On 3 July, 2019 · Leave a Comment*

What patterns do you notice in this table?

Continue the patterns to fill the empty squares.

Write a list describing all the patterns that you see.

What do you notice about the numbers on squares of the same colour?

Would the patterns […]

## Grades 8 to 12 A Mathematical Lens

*By toni On 2 July, 2019 · Leave a Comment*

STEP 1

1a) Double click on the picture above to start the movie showing how to draw a circle using the paperclip compass.

1b) Draw 2 circles of the same radius with centres A and B so that each circle goes through the centre of the other […]

## Grades 9 to 12 Pyramids in a Cube

*By toni On 29 June, 2019 · Leave a Comment*

To make a model showing how cubes are made up of three square based pyramids, you will need a cardboard box, some string, some colouring pens and a knife or scissors to cut the box.

From one corner of a box cut squares all exactly the same size to form 3 faces of a […]

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