**"Functions"**

## 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 […]

## Years 9 – 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 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 […]

## Years 10 – 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.

## Year 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 […]

## Grade11 Quadratic Functions

*By toni On 20 February, 2017 · Leave a Comment*

The diagram shows the graphs of five quadratic functions or parabolas.

How do the points where the graph cuts the x axis relate to the axis of symmetry of the graph and the solutions of the quadratic equation ?

Draw a sketch graph of each of the following functions:

if a > […]

## Grades 10-12 Multiple representations of algebraic relationships

*By Ben Walker On 8 December, 2016 · Leave a Comment*

This lesson is about

different representations of algebraic relationships, namely equations, graphs, tables and words. This activity should be given to the class as a formative assessment activity: it is designed to provide the teacher with information about the learners’ current levels of understanding.

After a short introduction, during which the teacher models […]

## Years 9 – 12 Undoing

*By toni On 20 November, 2016 · Leave a Comment*

Amy and her friends have built some functions and they are challenging each other to find the input when they know an output.

They think the inputs to their functions giving the output 10 are 5 for Amy’s function, 4 for Busi’s, for Chris’s and for Dudu’s. Do you agree? Why or […]

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