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## UPPER SECONDARY FC5 TRANSFORMATION OF FUNCTIONS

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

The picture shows some curves in the family of y = x cubed. Can you find the graph of this function and the equations of the other graphs? In this workshop guide you will find more examples of this type of ‘inverse problem’ where the learner is given information and has to […]

## 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 […]

## 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 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 […]

## LOWER SECONDARY A3 FUNCTIONS AND INVERSE FUNCTIONS

*By toni On 23 January, 2018 · Leave a Comment*

Number games that develop recognition and understanding of functions and inverse functions and the ability to create formulas.

Click here to download a pdf with all you need to run your own professional development workshop.

## Grade 10 General Angle Trigonometry Investigation

*By toni On 27 September, 2017 · Leave a Comment*

DO NOT USE CALCULATORS FOR THIS WHOLE CLASS ACTIVITY.

YOU NEED TO KNOW: that the cosine and sine functions for ALL ANGLES are given by the coordinates of points on the UNIT CIRCLE. The x-coordinates of points on the unit circle give the cosine of the angle between the x-axis and the radius measured anti-clockwise […]

## Grades 10 to 12 Tangled Trig Graphs

*By toni On 17 July, 2017 · Leave a Comment*

Graph 1 is the graph y=sinx. Can you identify the coordinates of the points where it crosses the axes and where it reaches its maximum and its minimum values?

How could I make graph 2 from graph 1? Can you work out the equation of graph 2?

Graph 3 has equation y=sin2x. […]

## Grade 12 D’riving

*By toni On 17 July, 2017 · Leave a Comment*

Imagine this graph is a road and you are driving from the bottom left hand (South West) corner to the top right hand (North East) corner. Describe how you would steer the car.

When would you be turning the steering wheel to the right?

When would you be turning the steering wheel […]

## Grades 10-11 Financial maths

*By Ben Walker On 9 January, 2017 · Leave a Comment*

Comparing investments: there are six investments. Find all the representations (description, formula, graph and table of values) of a single investment. After this, work out which statement fits with which investment.

The teacher leads a very short discussion about the different types of investments, reminding the learners about simple and compound interest. He or […]

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