 This page lists the GCSE Higher Algebra activities that are available once the resource has been purchased by your school

Manipulating Expressions Collecting like terms The language of algebra Multiplying out brackets Multiplying out harder brackets Expanding two sets of brackets Adding and subtracting algebraic fractions Expanding brackets in more complex situations
Solving Linear Equations Simple linear equations Linear equations including fractional coefficients Unknowns on both sides of a simple equation Simplifying to aid solving Slightly more complex equations Unknowns on both sides - a bit more complex Simplifying to aid solving - a bit more complex Constructing equations and then solving them Graphical representation of equations Algebraic fractions
Solving Linear Inequalities Linear inequalities in one variable and solutions on a number line Inequalities in two variables and solutions on a graph Several inequalities in two variables and solutions on a graph: SAMPLE AVAILABLE
Solving Simultaneous Equations Eliminating a variable to solve simultaneous linear equations Graphical representation of simultaneous equations No solutions and infinite solutions Solving by substitution when one equation is quadratic Graphical representations of cases involving a circle
Tinkering with Formulae Substituting numbers into formulae Changing the subject of a formula Considering the dimensions of a formula Deriving and using complex formulae Changing the subject of a formula in more complex cases
Investigating Graphs I Plotting simple linear graphs Recognising straight line graphs Plotting graphs of functions in implicit cases Finding the gradient of a straight line from its formula Interpreting real-life graphs Gradients and intercepts Recognising cubic and reciprocal graphs Recognising circular graphs Exponential and trigonometric graphs
Investigating Graphs II Generating and plotting simple quadratic functions Identifying parallel lines Inverse functions and their graphs Exploring parallel and perpendicular lines Finding equations of perpendicular lines Transforming graphs Using trial and improvement to solve quadratic equations: SAMPLE AVAILABLE Finding approximate solutions of a quadratic equation by using a graph Solving simple quadratic equations by factorising Identifying cases where factorising should be used Equations involving harder algebraic fractions Using the formula to solve quadratic equations Using graphs to find approximate solutions to quadratic equations Identifying the number of solutions to a quadratic equation Using the formula to solve quadratic equations in more complex cases Using completing the square to solve quadratic equations Deriving the formula for solving quadratic equations Using completing the square to solve problems
Tinkering with Expressions Taking out common factors Using laws of indices in algebraic cases Factorising quadratic expressions Simplifying rational expressions Establishing identities Simple cases of completing the square: SAMPLE AVAILABLE More complex cases of completing the square
Pattern Sniffing Generating simple sequences Finding the nth term for linear sequences Finding the nth term for quadratic sequences
Key
Appropriate for all students studying the GCSE Higher Tier course
Appropriate for students aiming to get a grade C or higher
Appropriate for students aiming to get a grade B or higher
Appropriate for students aiming to get a grade A or higher
Appropriate for students aiming to get a grade A*