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Students learn how to solve an equation using the balance method and trial and improvement. As learning progress they are taught how to form equations from known geometrical facts and real life problems.

This topic takes place in Term 4 of Year 10 and follows on from algebraic manipulation.

- use simple formulae
- generate and describe linear number sequences
- express missing number problems algebraically
- find pairs of numbers that satisfy an equation with two unknowns
- use and interpret algebraic notation
- simplify and manipulate algebraic expressions by:
- collecting like terms
- multiplying a single term over a bracket

- Solve linear equations in one unknown algebraically (including those with the unknown on both sides of the equation)
- 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 (or two simultaneous equations), solve the equation(s) and interpret the solution.

- To solve an equation is to find the only value (or values) of the unknown that make the mathematical sentence correct.
- 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 can forget to apply the same operation to both sides of the equation therefore leaving it unbalanced.
- 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

January 26, 2020

Preparing students for a mathematics exam takes time, patience and careful planning. In this blog I will share my ideas for teaching students how to prepare for their final exams. These are strategies that have worked well for me and I have see work well for others. Creative writing to formulate ideas Students need space […]

January 13, 2020

To find the area of compound shapes students need to understand what the word compound means. Therefore, I ask students to discuss in pairs a definition for the word compound and to extend it to include the shapes below. As a result of their learning in science students agree that a compound can be defined […]

January 4, 2020

At the start of the Spring Term these are three main priorities for me as the Head of Mathematics.