**"Quadratic equations"**

## Years 9 – 13 Golden Pentagon

*By toni On 22 August, 2020 · Leave a Comment*

Find all the angles in the diagram and mark each set of equal angles in a colour for that set.

Let AE = 1 unit and BE = x units.

Which triangles are isosceles?

Which triangles are similar?

Use similar triangles to give an equation for x and solve the equation.

[…]

## 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 10 – 12 Quadratic Equations

*By Kwethemba Moyo On 14 June, 2020 · Leave a Comment*

1. For security John plans buy the minimum amount of Diamond Razor Mesh fencing material to fence around his dam and discourage entry. He sent his 15 year old son Mzu to measure the dam.

Mzu tells his Dad that this rectangular shape he has drawn of the dam and fence can help him.

To […]

## 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 10 – 12 Graphing Quadratic Equations

*By Kwethemba Moyo On 15 October, 2019 · Leave a Comment*

Graph $y={ x }^{ 2 }-2x-1$ .

1. What type of an equation is this?

2. Remember the general form of an equation of this nature: $y={a x }^{ 2 }-bx-c$

When $a > 0$ the graph is $\cup$ shaped and when $a < 0$ it is $\cap$ shaped. What is the situation in our problem?

[…]

## 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 […]

## NA1 NUMBER SYSTEMS AND SOLVING EQUATIONS

*By toni On 27 August, 2018 · Leave a Comment*

This workshop guide reviews the number systems that learners have met and expands number concepts to include complex numbers. Learning activities involve matching graphs to linear and quadratic equations and their solutions within different number systems.

There is discussion of the historial evolution of mankind’s concepts of number and parallels are drawn […]

## Years 9 – 12 Same area

*By toni On 10 August, 2018 · Leave a Comment*

The rectangles shown are the same area. Find the area.

Make up some similar questions of your own.

Click here for the Notes for Teachers

## 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 9 – 12 How Old Am I?

*By toni On 17 July, 2016 · Leave a Comment*

It is my birthday and in 15 years’ time, my age will be the square of my age 15 years ago!

Can you work out how old I am?

Now I am thinking “Was there ever a time in my life when I had other special birthdays?”

Could I have said:

“In 3 […]

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