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- Understand and use representations of directed numbers
- Order directed numbers using lines and appropriate symbols
- Perform calculations that cross zero
- Add directed numbers
- Subtract directed numbers
- Multiplication of directed numbers
- Multiplication and division of directed numbers
- Use a calculator for directed number calculations
- Evaluate algebraic expressions with directed number
- Introduction to two-step equations
- Solve two-step equations
- Use order of operations with directed numbers

For higher-attaining pupils:

- Roots of positive numbers
- Explore higher powers and roots

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Here are some related resources in alphabetical order. Some may only be appropriate for high-attaining learners while others will be useful for those in need of support. Click anywhere in the grey area to access the resource.

- Bidmaze Find your way through the maze encountering mathematical operations in the correct order to achieve the given total.
- Boxed In Numbers The classic dots and boxes game with the addition of some positive and negative numbers which determine your score.
- Equations A series of exercises, in increasing order of difficulty, requiring you to solve linear equations. The exercises are self marking.
- Indices A self marking exercise on indices (powers or exponents) including evaluating expressions and solving equations.
- Negative Magic Four partially completed magic squares containing negative numbers. Fill in the missing numbers.
- Negative Numbers Use negative numbers in basic arithmetic and algebraic calculations and word problems.
- Negative Numbers Video Revise how to add, subtract, multiply and divide negative numbers.
- Number Line This number line visual aid is designed to be projected onto a whiteboard for whole class exposition.
- Number Line Banner A printable banner (multiple A4 sheets) of a colourful number line for the classroom wall.
- Substitution Substitute the given values into the algebraic ex
pressions. - Temperatures Test your understanding of negative numbers with this self marking quiz about temperatures.

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

Here are some suggestions for whole-class, projectable resources which can be used at the beginnings of each lesson in this block.

Perform calculations involving negative numbers

Practise techniques for answering questions involving negative numbers.

Copy and complete the multiplication grid. The higher levels include negative numbers.

A little lateral thinking might help you solve this puzzle.

A number placing puzzle which, when solved, raises the notion of proof.

Some calculations are partly obscured. Work out what those calculations might be.

Four problems involving addition, subtraction, multiplication and division

Estimate the lengths of four lines then add your answers together.

Start with 512. Halve it to get 256. Halve it to get 128. Continue as far as possible.

Some of the Starters above are to reinforce concepts learnt, others are to introduce new ideas while others are on unrelated topics designed for retrieval practice or and opportunity to develop problem-solving skills.