Forming simultaneous equations
I can derive two different simultaneous equations from a context.
Forming simultaneous equations
I can derive two different simultaneous equations from a context.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Relationships in context can be expressed using letters to represent the unknown values.
- It is important to be clear about what each variable represents.
- Two different statements can be connected via their variables.
- One pair of values could satisfy more than one equation.
Keywords
Simultaneous equations - Equations which represent different relationships between the same variables are called simultaneous equations.
Common misconception
Incorrectly identifying when simultaneous equations can be formed. This can lead to pupils using the same letter in two equations to represent different things.
Pupils should be writing down precisely what the variable represent in context. They can then compare whether they are using the same letter to represent the same thing in two different equations.
To help you plan your year 10 maths lesson on: Forming simultaneous equations, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Forming simultaneous equations, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Simultaneous equations: 2 variables unit, dive into the full secondary maths curriculum, or learn more about lesson planning.