**"Functions"**

## Years 10 – 12 Quadratic Matching 1

*By toni On 20 June, 2020 · 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 […]

## Years 7 – 9 Shifting Times Tables

*By toni On 8 May, 2020 · Leave a Comment*

Count in 4’s to give the 4 times table: 4, 8, 12, 16, 20, … 80, 84, 88, …

Now shift the 4 times table up 3 to give 7, 11, 15, 19, 23, … 83, 87, 91, …

Which tables were shifted to give the following sequences? By how much? Explain […]

## Year 12 D’riving

*By toni On 1 May, 2020 · 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 […]

## Years 11-12 Quadratic Functions

*By toni On 24 April, 2020 · 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 ?

Match the graphs in the diagram to the following descriptions and give reasons […]

## Years 7 – 10 Function Game

*By toni On 3 April, 2020 · Leave a Comment*

What is the rule (or function) that gives the outputs corresponding to the inputs shown in the diagram mapping 1 to 8 and 3 to 24 etc?

The Function Game is played in silence. Learners have to guess the function in the teacher’s mind. The teacher tells the learners that she wants […]

## Year 12 Matching Hyperbolas

*By toni On 19 February, 2020 · Leave a Comment*

1. Which one of the graphs represents the function $f(x) = \frac{1}{x}$?

The table below has been jumbled up. Match the graphs labelled f1 to f9 to their equations in the table below and to the descriptions of the transformations of $f(x) = \frac{1}{x}$

Download the worksheet, cut up a copy of […]

## 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 […]

## Years 10 – 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 […]

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