**"Algebraic expressions"**

## Grades 5 to 8 Equipattern

*By toni On 12 November, 2017 · Leave a Comment*

Copy this pattern. You could use toothpicks or paper sticks or draw the pattern on isometric paper (download here).

Make or draw the next 3 patterns in the sequence.

How many sticks would you need to make the 10th pattern?

What about the 100th pattern?

How do you know?

## 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 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 7 to 10 Painted Cube

*By toni On 5 November, 2016 · 22 Comments*

Imagine a large cube made up from 27 small red cubes each measuring 1 cm by 1 cm by 1 cm. What is its volume?

Imagine dipping the large cube into a pot of yellow paint so the whole outer surface is covered. What is its surface area?

Now imagine breaking the […]

## Grade 8 to10 – Cuboids

*By toni On 1 November, 2016 · Leave a Comment*

Find a cuboid (with edges of integer values) that has a surface area of exactly 100 square units.

Is there more than one?

Can you find them all?

Can you provide a convincing argument that you have found them all?

Click here for Notes for Teachers.

Click […]

## Grades 7 to 9 Odd One Out

*By toni On 28 October, 2016 · Leave a Comment*

If three of the four expressions: 2x – 3 and x + 8 and 2x + 3 and 30 – x are equal, find their value and which expression is the odd one out.

Copy and label the diagram and explain the connection between the diagram and the first part of the […]

## Grades 7 to 9 Think of Two Numbers

*By toni On 26 October, 2016 · Leave a Comment*

Here is an alternative and more unusual version of the “Think of a Number” trick which you may have heard of before.

Think of two whole numbers under 10.

Take one of them and add 1.

Multiply by 5.

Add 1 again.

Double your answer.

Subtract 1.

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