Your Basket 0 items - £0.00

Students learn how to set up and solve a pair of simultaneous equations using the elimination method. Learning progresses from solving equations where the coefficients are equal to setting up a pair of equations with different coefficients from known facts.

This unit takes place in Term 2 of Year 11 and follows on from solving equations with a single unknown.

**Prerequisite Knowledge**

- Solve two simultaneous equations in two variables algebraically;
- Find approximate solutions to simultaneous equations in two variables using a graph
- Translate simple situations or procedures into algebraic expressions or formulae; derive an equation

**Success Criteria**

- Solve two simultaneous equations in two variables algebraically;
- Find approximate solutions using a graph

**Key Concepts**

- For every unknown an equation is needed.
- Students need to have a secure understanding of adding and subtracting with negatives when eliminating an unknown.
- Coefficients need to be equal in magnitude to eliminate an unknown.
- Students need to check their solutions by substituting the calculated values into the original equations.

**Common Misconceptions**

- Students often struggle knowing when to add or subtract the equations to eliminate the unknown. Review addition with negatives to address this.
- Equations need to be aligned so that unknowns can be easily added or subtracted. If equations are not aligned students may add or subtract with non like variables.
- Students often try to eliminate variables with their coefficients being equal

August 22, 2019

When getting ready for a new school year I have a list of priorities to work through. Knowing my team have all the information and resources they need to teach their students gives me confidence we will start the term in the best possible way. Mathematics Teaching and Learning Folder All teachers receive a folder […]

July 6, 2019

Earlier this week, my school took part in a trial OFSTED inspection as part of getting ready for the new inspection framework in September 2019. This involved three Lead Inspectors visiting our school over the course of two days. The first day involved a ‘deep dive’ by each of the Lead Inspectors into Mathematics, English […]

June 30, 2019

The method of how to solve quadratics by factorising is now part of the foundational knowledge students aiming for higher exam grades are expected to have. Here is an example of such a question. Solve x2 + 7x – 18 = 0 In my experience of teaching and marking exam papers students often struggle with […]