Changing the subject

Term 1 starting in week 9 :: Estimated time: 2 weeks

Solve linear equations (review)
Solve inequalities (review)
Form and solve equations and inequalities in the context of shape
Change the subject of a simple formula (review)
Change the subject of a known formula
Change the subject of a complex formula

For higher-attaining pupils:

Change the subject where the subject appears more than once
Solve equations by iteration

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Activities for pupils

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.

Changing The Subject Video Otherwise known as rearranging the formula, this video shows how to change the subject of an equation.

Changing The Subject Rearrange a formula in order to find a new subject in this self marking exercise.

Inequalities Check that you know what inequality signs mean and how they are used to compare two quantities. Includes negative numbers, decimals, fractions and metric measures.

Formulae to Remember The traditional pairs or pelmanism game adapted to test recognition for formulae required to be memorised for GCSE exams.

Iteration Find approximate solutions to equations numerically using iteration.

Here are some exam-style questions on this topic:

"Rearrange the following formula to make \(d\) the subject:" ... more

"Make \(b\) the subject of the following formula:" ... more

"The following kinematics formula can be used to work out the distance travelled (displacement) of an object travelling with constant acceleration." ... more

"A circle is drawn inside a square so that it touches all four sides of the square." ... more

"(a) Simplify the following expression." ... more

See all these questions

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

Algebra Pupils begin their study of algebra by investigating number patterns. Later they construct and express in symbolic form and use simple formulae involving one or many operations. They use brackets, indices and other constructs to apply algebra to real word problems. This leads to using algebra as an invaluable tool for solving problems, modelling situations and investigating ideas. If this topic were split into four sub topics they might be: Creating and simplifying expressions; Expanding and factorising expressions; Substituting and using formulae; Solving equations and real life problems; This is a powerful topic and has strong links to other branches of mathematics such as number, geometry and statistics. See also "Number Patterns", "Negative Numbers" and "Simultaneous Equations".

Lesson Starters

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

1st Lesson

Paradox

Can you solve this paradox by agreeing whether the statements are right or wrong?

2nd Lesson

How Do You Do?

A little lateral thinking will help you solve this number puzzle.

3rd Lesson

Kim's Game 2

This is the Maths version of the traditional memory game. Memorise 10 mathematical facts then recall them as they disappear from view.

4th Lesson

How Many Triangles? 2

How many triangles are hidden in the pattern? What strategy might you use to count them all to ensure you don't miss any out?

5th Lesson

Mystery Numbers

Can you recognise the mystery numbers from the clues?

6th Lesson

Refreshing Revision

It is called Refreshing Revision because every time you refresh the page you get different revision questions.

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.

White Rose Resources

End of block assessments provide a quick progress check at the end of each block of learning to make sure students have understood the content covered.