**"Lesson Activities"**

## Grades 10 to 12 Quadratic Matching 2

*By toni On 21 April, 2018 · Leave a Comment*

The graphs and some properties of seven quadratic functions are given here.

The equation of each function is given in three different forms.

Match the graph of each function with the matching equations and properties.

This activitiy is linked to Quadratic Matching 1 which you […]

## Grades 10 to 12 Swop

*By toni On 21 April, 2018 · Leave a Comment*

(1) You are blindfolded. The audience tells you the number in Box B and you can immediately say the numbers in box C and box A.

How is this trick done?

Can you make the trick more impressive?

You can change the x 6 and + 5 to other operations and numbers […]

## Grades 11 and 12 Great Pyramid

*By toni On 4 April, 2018 · Leave a Comment*

The Great Pyramid at Giza in Egypt was built around 2500 BC. The pyramid has a square base ABCD with sides 232.6 metres long. The distance from each corner of the base to the apex E was originally 221.2 metres.

Draw a diagram of the pyramid to show two right angled triangles […]

## Grades 4 to 9 Durer’s Magic Square

*By toni On 16 March, 2018 · Leave a Comment*

Add the columns one by one, add the rows, then add the diagonals. What do you notice?

This is Albrecht Durer’s supermagic square from his famous engraving Melencolia dated 1514. Can you see it at the top right hand corner of the engraving under the bell? It has many […]

## Grades 4 to 8 Water Crisis 2

*By toni On 28 February, 2018 · Leave a Comment*

Whether or not you have plenty of water where you live it is interesting to see how we use water in our homes.

Cape Town in the 2018 dry season has a serious water shortage and water is rationed to 50 litres per person per day, as shown in this poster.

## Grades 4 to 8 Water Crisis 1

*By toni On 25 February, 2018 · Leave a Comment*

Cape Town is in danger of running out of water if it does not rain soon. Everyone has to avoid wasting water.

The city rationed everyone to 87 litres a day and published this poster. Explain what the pictograph shows.

Draw a bar graph from this data.

Now the ration is 50 […]

## Grades 7 to 10 Constructions with Circles

*By toni On 18 February, 2018 · Leave a Comment*

a. Draw 2 circles with equal radii, intersecting at C, so that each goes through the centre of the other.

b. Draw a third circle of the same radius with centre C.

c. Draw 4 more circles with centres on the circle centre A and passing through A.

## Grades 7 to 10 Constructions with Lines

*By toni On 18 February, 2018 · Leave a Comment*

Click here for Learner’s worksheet with instructions for measuring angles and doing geometrical constructions.

Accurately copy the following patterns and vary them to make your own designs.

1. ENVELOPE PATTERNS WITH STRAIGHT LINES

Draw two base lines and mark the same number of points at equal distances along each line. Join […]

## Grades 7 to 10 Constructing circle and line patterns

*By toni On 18 February, 2018 · Leave a Comment*

The picture shows you how to use a paper clip to draw circles. You just need to open out the paper clip as shown,

Draw a circle and mark 24 points equally spaced around the circumference. To do this, draw a circle and mark the centre, and mark your first point on […]

## Grades 5 to 7 Estimate my girth

*By toni On 2 February, 2018 · Leave a Comment*

This baobab tree in Senegal is reported to be 6000 years old.

Try to estimate the distance around the tree trunk at its base measured in metres.

Does this picture give you an idea how you might use the picture, with your class at school, to work out a better estimate […]

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