Foundation and Higher / Grades 3 to 6
Expanding and simplifying brackets
Expand single brackets, handle negative signs, collect like terms, and show enough working for GCSE method marks.
Pearson Edexcel GCSE Maths algebra A4: collect like terms and multiply a single term over a bracket.
Open full lessonFoundation and Higher / Grades 3 to 6
Solving linear equations
Solve one-step, two-step, bracketed, and both-sides linear equations while keeping working balanced.
Pearson Edexcel GCSE Maths algebra A17: solve linear equations in one unknown, including equations with the unknown on both sides.
Open full lessonFoundation and Higher / Grades 3 to 5
Factorising into a single bracket
Find the highest common factor of terms and rewrite expressions using one bracket.
Pearson Edexcel GCSE Maths algebra A4: simplify and manipulate algebraic expressions by factorising.
Open full lessonFoundation and Higher / Grades 4 to 7
Factorising quadratics
Factorise quadratics of the form x² + bx + c, including negative terms, and use factorised form to solve equations.
Pearson Edexcel GCSE Maths algebra A4 and A18: factorise quadratic expressions and solve quadratic equations by factorising.
Open full lessonFoundation and Higher / Grades 3 to 6
Substitution into expressions and formulae
Replace letters with values, follow the correct order of operations, and handle negative numbers accurately.
Pearson Edexcel GCSE Maths algebra A2 and A5: substitute numerical values into expressions and formulae, and understand standard formulae.
Open full lessonFoundation and Higher / Grades 4 to 6
Linear sequences and the nth term
Find the common difference, write the nth term of a linear sequence, and use it to generate or test terms.
Pearson Edexcel GCSE Maths algebra A23 to A25: generate terms, recognise arithmetic progressions, and deduce expressions for the nth term.
Open full lessonFoundation and Higher / Grades 4 to 7
Rearranging formulae
Change the subject of a formula by using inverse operations and keeping both sides balanced.
Pearson Edexcel GCSE Maths algebra A5: understand, use, and rearrange formulae to change the subject.
Open full lessonFoundation and Higher / Grades 4 to 6
Solving linear inequalities
Solve linear inequalities, keep the inequality sign correct, and identify integer solutions where needed.
Pearson Edexcel GCSE Maths algebra A22: solve linear inequalities in one variable and represent solutions.
Open full lessonFoundation and Higher / Grades 5 to 7
Simultaneous equations
Solve two linear equations by eliminating one unknown, then substitute back to find the other unknown.
Pearson Edexcel GCSE Maths algebra A19: solve two simultaneous equations in two variables.
Open full lessonFoundation and Higher / Grades 4 to 7
Straight-line graphs
Use y = mx + c to identify gradients, y-intercepts, and equations of straight lines.
Pearson Edexcel GCSE Maths algebra A9 and A10: plot and interpret graphs, gradients, intercepts, and equations of straight lines.
Open full lessonHigher / Grades 6 to 8
Algebraic fractions
Simplify algebraic fractions by cancelling common factors, factorising first, and using common denominators.
Pearson Edexcel GCSE Maths algebra A4 and A17: manipulate algebraic expressions and work with algebraic fractions.
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