**GCSE Content**

17. solve linear equations in one unknown algebraically (including those with the

unknown on both sides of the equation); find approximate solutions using a graph

A variety of resources to use:

**Enigma Maths Hub**: under Key Stage 3 Mathematics Core Concepts see **Solving Equations – Small Steps**

For each of the above you will find suggestions and resources including **NCETM checkpoints activities**.

On Matt Woodfine’s **Maths White Board**, from the **home page** use the filter to choose Algebra and search on linear equations.

On **Math Whiteboard** start a new board. On the right-hand side of the top menu select the three dots for More and then Highlight equivalence.

You can type expressions on a whiteboard and equivalent expressions will be highlighted in the same colour – brilliant. (For more on this feature – see **Highlight Equivalence**.

The ability to display or hide the variable and to take snapshots means working can be clearly shown using this **PhET Sims Equality Explorer**.

Math HTML5 PhET sims by topic see **PhET Sims – Index**.

From Andy Lutwyche one of the **Clumsy Clive series** is on **Solving Equations**. Andy has many other **Equations resources** including **Building Blocks – Solving (Linear) Equations**.

On the **SERP website** before see **MathByExample** and **AlgebraByExample** which is a set of Algebra 1 assignments that incorporate worked examples and prompt students to analyze and explain. These resources can provide prompts for discussing common misconceptions.

Using the **KS3 Index on Transum**, we can see many activities on **solving linear equations** these activities include equations with fractions.

On Dr Austin Maths you can find many resources on **linear equations**.

The practice strips are wonderfully efficient for photocopying.

On **Corbett Maths** we have videos, practice questions and textbook exercises.

- Equations: solving Video 110 Practice Questions Textbook Exercise
- Equations: involving fractions Video 111 Practice Questions Textbook Exercise
- Equations: fractional advanced Video 111a Practice Questions Textbook Exercise
- Equations: cross multiplication Video 112 Practice Questions Textbook Exercise
- Equations: letters both sides Video 113 Practice Questions Textbook Exercise

On Dr Frost Maths we can use any of the reosurces here on **linear equations** or perhaps try his **full coverage resource** – if you want a compilation of GCSE questions.

I think this ‘cover up’ method seen here on Don Steward’s Median can be helpful for many students, something I have used sometimes in class where students are finding solving equations challenging.

On Don Steward’s Median, you will find resources labeled **linear equations**, **linear equations cover up method**, and **linear equations x both sides**.

CIMT have a tutorial on **Linear Equations** in their Interactive resources for Year 7 and on **Linear Equations with Brackets** in the Year 8 resources**.**

**Graspable Math** – Solving Equations

Graspable Math is easy to use, I decided I would **solve an equation** and wanted to show all the steps. To start, go to a **blank canvas** and choose Insert / Math Expression, I have used the method of selecting and holding the = sign to start as you can see illustrated in the video above; I was then able to enter an operation to apply to both sides of the equation.

From Phil Bruce – **Linear equations with algebra discs.**

On Jonathan Hall’s Mathsbot, in the **Manipulatives collection**, we have **Algebra Discs**.

Using my **GCSE Algebra page** which includes the GCSE subject content and resources, note also the sites easily searchable for **algebra resources by topic**. Several examples from these pages are given in this post for further resources from other sites on that list:

**The Standards Unit Mostly Algebra A2 and A3****Nrich Algebra****Mr Barton Maths Linear Equations****Colin Foster’s Expression Polygons**, one of his**Mathematical Etudes**.