**"Lesson Activities"**

## Grades 11 to 12 Coin in Slot

*By toni On 20 May, 2018 · Leave a Comment*

The line LP with equation y + x – 2 = 0 is a tangent at L to the circle with centre M(-4 , 4).

LN is a diameter of the circle.

LP is parallel to NQ where P is on the x-axis and Q is on the y-axis.

Find:

a) […]

## Grades 11 to 12 Cyclic

*By toni On 20 May, 2018 · Leave a Comment*

The diagram shows a circle centre O with points P, Q, R and S on the circumference. UST is a tangent to the circle. Angle RPS = 44º and angle PSO = 32º.

Find angles xº and yº.

## Grade 12 Derivative Matching

*By toni On 3 May, 2018 · Leave a Comment*

Match the functions with their derivatives and values of the functions and derivatives.

For cards to cut out and sort to do this activity click here.

What does this information tell you about the graphs of the 5 functions

For the Notes for Teachers click here.

## Grades 10 to 12 Quadratic Matching 1

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

Graphs and equations of 7 quadratic functions are given here.

Match them and put them into 7 sets. Write down the coordinates of the intercepts with the axes.

Make a poster showing the graph of each function with the matching equations.

In all these examples the coefficient of […]

## 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 6 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 […]

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