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## 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.

## Grades 6 to 9 TIMES NINE

*By toni On 13 October, 2017 · Leave a Comment*

Complete the calculations in the picture.

What do you notice?

To explain how the patterns of numbers arise:

Either multiply by (10 – 1) instead of multiplying by 9

or use the table below, first completing the calculations on each line.

## Grades 6 to 8 Beautiful Numbers

*By toni On 5 October, 2017 · Leave a Comment*

Work out the different numbers to replace the question marks.

What do you notice about the patterns in these calculations?

Can you explain why this pattern occurs?

## TEACHING MATHEMATICS WITH MULTILINK CUBES

*By toni On 28 September, 2017 · Leave a Comment*

If you have Multilink cubes, sometimes called Unifix cubes, then you will find this collection of 17 learning activities will give you many good ideas for using the cubes in teaching any age group from the youngest to the oldest learners in school. (Click here to DOWNLOAD the booklet).

## 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 […]

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