Myths about teaching can hold you back
- Year 10•
- Foundation
Solving algebraic simultaneous equations by elimination
I can solve two linear simultaneous equations algebraically using elimination.
- Year 10•
- Foundation
Solving algebraic simultaneous equations by elimination
I can solve two linear simultaneous equations algebraically using elimination.
Lesson details
Key learning points
- It is possible to find a solution that satisfies two equations with two unknowns by trial and error.
- A more efficient method is to combine the two equations to create a third valid equation .
- If the third equation contains only one unknown, it is easy to solve .
- Once you know one of the unknowns, you can substitute to find the other .
Keywords
Simultaneous equations - Equations which represent different relationships between the same variables are called simultaneous equations.
Elimination - Elimination is a technique to help solve equations simultaneously and is where one of the variables in a problem is removed.
Common misconception
Performing different operations on different variables. E.g. subtracting one variable to eliminate then adding the other variable and constant. Pupils incorrectly think they are adding to eliminate.
This is caused by negative number skills. Subtracting two identical values always gives zero even if both are negative. If a term is the same in both equations, we subtract to eliminate. Clear working is crucial here.
To help you plan your year 10 maths lesson on: Solving algebraic simultaneous equations by elimination, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Solving algebraic simultaneous equations by elimination, 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.
Licence
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