**"Algebraic expressions"**

## 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 […]

## 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 […]

## 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 […]

## 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 […]

## 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 […]

## 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 […]

## Think of Two Whole Numbers

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

Here is an alternative version of the “Think of a Number” trick.

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.

Add your second number.

Add 2.

Double […]

## Take Three from Five

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

Is it always possible, from any set of five positive whole numbers, to choose three numbers that add up to a multiple of 3?

For example, if you start with 4, 7, 11, 12 and 18, you can choose 4, 11 and 12 which add up to 27 (a multiple of 3).

[…]

## What’s it Worth?

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

Each shape has a different value. The totals for the rows and columns are given. Can you find the values and the total of the first column?

Click here for the Notes for Teachers.

This problem is adapted from the NRICH task What’s it worth? with permission of the University […]

## Temperature

*By toni On 25 October, 2016 · Leave a Comment*

In some countries temperature is measured in degrees Celsius (originally called degrees Centigrade) and in other countries it is measured in degrees Fahrenheit.

The freezing point of water is 0 degrees Celsius and 32 degrees Fahrenheit.

The boiling point of water is 100 degrees Celsius and 212 degrees Fahrenheit.

Draw a graph […]

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