## UPPER SECONDARY G3 CIRCLE THEOREMS

*By toni On 22 July, 2018 · Leave a Comment*

The paper folding activities in this workshop guide provide experiences of discovering the properties of circles stated in seven basic theorems. Folding cut-out paper circles does not prove the theorems but it suggests recipes for the formal proofs. Teachers should do all the activities before using them in lessons even if they […]

## Grades 10 to 12 Line Match

*By toni On 1 July, 2018 · Leave a Comment*

Explain your findings about the four lines in this diagram and their gradients.

Match each sketch graph from column A below with a description and a fact about gradients from the other two columns.

Click here for the Notes for Teachers.

## Grades 9 to 12 Function Flow

*By toni On 1 July, 2018 · Leave a Comment*

The input to Function Machine 1 is x. Write down an expression for the output.

If the output is 7 what was the input?

In Function 2, a is constant. If the input is 4 what is the output?

The functions from Function Machines 1 & 2 are combined to give Function […]

## 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 […]

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