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## Grades 9 to 12 Squares Pattern

*By toni On 4 August, 2017 · Leave a Comment*

This square of squares pattern has edge length 5 squares. You could make this pattern with 48 matchsticks.

Work out the number of edge squares and the number of lines (matchsticks) needed to make the pattern with: side length 6 side length 25 side length 100 side length n.

Click here […]

## Grades 6 to 10 Special Sums

*By toni On 31 May, 2017 · Leave a Comment*

Imagine you have four bags containing a large number of 1s, 4s, 7s and 10s.

You can choose numbers from the bags and add them to make different totals. You don’t have to use numbers from every bag, and there will always be as many of each number as you need.

Choose some […]

## Grades 12 GP Algebraically

*By toni On 26 May, 2017 · Leave a Comment*

Multiply out these expressions:

What do you notice?

Does this pattern continue?

Can you prove it?

What does this tell you about the sum to n terms of the geometric series with first term 1 and common ratio r?

Why do we get a formula for all values of r except r = 1?

Explain […]

## Grades 7 to 12 Mystic Rose

*By toni On 24 February, 2017 · Leave a Comment*

What can you see in this diagram?

Could you draw it? Could you draw a similar diagram with just 5 or 6 points around the outside? Try it?

How many lines are there in your diagrams? How many lines are there in the original diagram? Can you find a way of working out […]

## Grades 10-12 Distance-time graphs

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

This lesson is about moving between different representations of distance-time functions, namely between graphs, stories and tables. 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.

During a short introduction the teacher displays a […]

## Grades 8-10 Interpreting Equations

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

This lesson is about moving between algebraic equations and the statements that they represent. 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.

During a short introduction the teacher emphasises the importance of defining […]

## 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 […]

## Grades 11 to 12 – Almost Total Inequality?

*By toni On 27 November, 2016 · Leave a Comment*

When x is zero, A is greater than both B and C

For what other values of x is A the greatest?

For what values of x is B the greatest ?

For what values of x is C the greatest?

Is there a value of x when neither A nor B nor C […]

## Grades 9 to 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 […]

## Grades 9 to 12 Building Functions

*By toni On 19 November, 2016 · Leave a Comment*

Amy and her friends have built some functions. If they all input the number 1 into their functions Amy’s output would be 6, Busi’s 1, Chris’s 6½ and Dudu’s 3½.

Build some of your own functions using the operations [subtract 2], [multiply by 3], [divide by 2] and [add […]

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