Algebra skills
Year 3
- Level 1: Solving word problems involving an unknown
- Level 2: Solving word problems involving an unknown
- Level 3: Solving word problems involving an unknown
Year 4
Year 5
Year 6
- Understanding coefficients
- Numeric substitution in algebraic expressions
- Level 1: Solve simple equations
- Level 2: Solve simple equations
- Level 1: Simple equations with brackets
- Level 2: Simple equations with brackets
- Level 1: Solve word equations
- Level 2: Solve word equations
Year 7
Take the Algebra test
- Level 1: coefficients and constants
Cheat sheet on the topic - Level 2: coefficients and constants Cheat sheet on the topic
- Level 3: coefficients and constantsCheat sheet on the topic
- Level 1: Simplification and expansion of algebraic expressionsCheat sheet on the topic
- Level 2: Simplification and expansion of algebraic expressionsCheat sheet on the topic
- Level 3: Simplification and expansion of algebraic expressionsCheat sheet on the topic
- Numeric substitution in simple algebraic expressionsCheat sheet on the topic
- Numeric substitution in algebraic expressionsCheat sheet on the topic
- Symbolic substitution in algebraic expressionsCheat sheet on the topic
- Solve simple linear equationsCheat sheet on the topic
- Solve linear equationsCheat sheet on the topic
- Solve inequalities in a single variableCheat sheet on the topic
Year 8
Take the Algebra test
- Level 1: Simplification and expansion of algebraic expressionsCheat sheet on the topic
- Level 2: Simplification and expansion of algebraic expressionsCheat sheet on the topic
- Level 3: Simplification and expansion of algebraic expressionsCheat sheet on the topic
- Level 1: Simplification of rational algebraic expressionsCheat sheet on the topic
- Level 2: Simplification of rational algebraic expressionsCheat sheet on the topic
- Simplification of algebraic expressions involving integer indicesCheat sheet on the topic
- Numeric substitution in algebraic expressionsCheat sheet on the topic
- Symbolic substitution in algebraic expressionsCheat sheet on the topic
- Solve linear equationsCheat sheet on the topic
- Solve inequalities in a single variableCheat sheet on the topic
Year 9
Take the Algebra test
- Level 1: Simplification and expansion of algebraic expressions
- Level 2: Simplification and expansion of algebraic expressions
- Level 3: Simplification and expansion of algebraic expressionsCheat sheet on the topic
- Level 1: Simplification of rational algebraic expressionsCheat sheet on the topic
- Level 2: Simplification of rational algebraic expressionsCheat sheet on the topic
- Level 1: Addition and subtraction of rational expressionsCheat sheet on the topic
- Level 2: Addition and subtraction of rational expressionsCheat sheet on the topic
- Level 3: Addition and subtraction of rational expressions
- Level 1: Evaluate the exponent of an exponentCheat sheet on the topic
- Level 2: Evaluate the exponent of an exponent
- Level 1: Integer indicesCheat sheet on the topic
- Level 2: Integer indices Cheat sheet on the topic
- Factorise difference of squares Cheat sheet on the topic
- FactorisationCheat sheet on the topic
- Symbolic substitution in algebraic expressionsCheat sheet on the topic
- Solve linear equations Cheat sheet on the topic
- Linear equations involving fractionsCheat sheet on the topic
- Level 1: Solve word equationsCheat sheet on the topic
- Solve symbolic linear equationsCheat sheet on the topic
- Solve inequalities in a single variableCheat sheet on the topic
- Level 1: Solve the quadratic equation by factorisationCheat sheet on the topic
- Level 2: Solve the quadratic equation by factorisation
Year 10
Take the Algebra test
- Level 1: Simplification and expansion of algebraic expressionsCheat sheet on the topic
- Level 2: Simplification and expansion of algebraic expressionsCheat sheet on the topic
- Level 3: Simplification and expansion of algebraic expressionsCheat sheet on the topic
- Level 1: Simplification of rational algebraic expressionsCheat sheet on the topic
- Level 2: Simplification of rational algebraic expressionsCheat sheet on the topic
- Level 1: Addition and subtraction of rational expressionsCheat sheet on the topic
- Level 2: Addition and subtraction of rational expressionsCheat sheet on the topic
- Level 3: Addition and subtraction of rational expressionsCheat sheet on the topic
- Level 1: Integer indicesCheat sheet on the topic
- Level 2: Integer indicesCheat sheet on the topic
- Rational indicesCheat sheet on the topic
- Symbolic substitution in algebraic expressionsCheat sheet on the topic
- Solve linear equationsCheat sheet on the topic
- Linear equations involving fractionsCheat sheet on the topic
- Transposing formulasCheat sheet on the topic
- Solve inequalities in a single variableCheat sheet on the topic
- Level 1: The quadratic equation discriminantCheat sheet on the topic
Historical note - Level 2: The quadratic equation discriminantCheat sheet on the topicHistorical note
- Level 1: Solve the quadratic equation by factorisationCheat sheet on the topicHistorical note
- Level 2: Solve the quadratic equation by factorisationCheat sheet on the topicHistorical note
- Level 3: Solve the quadratic equation by factorisationCheat sheet on the topicHistorical note
- Completing the squareCheat sheet on the topic
- Level 1: Quadratic turning pointCheat sheet on the topic
- Level 2: Quadratic turning pointCheat sheet on the topic
- Factorising polynomialsCheat sheet on the topic
- Long division of polynomialsCheat sheet on the topic
- Solving simultaneous linear equationsCheat sheet on the topic
- Simultaneous linear equations word problemsCheat sheet on the topic
Year 11
- Simplification and expansion of algebraic expressions
- Level 1: Integer indices
- Level 2: Integer indices
- Level 3: Integer indices
- Level 1: Rational indices
- Level 2: Rational indices
- Simplification of rational algebraic expressions
- Rewrite rational expressions
- Symbolic substitution in algebraic expressions
- Solve linear equations
- Solving inequalities
- Factorising polynomials
- Greatest common divisor of algebraic expressions
- Transposing formulas
- Polynomial coefficients and constants
- Level 1: Solve the quadratic equation by factorisation
- Level 2: Solve the quadratic equation by factorisation
- Level 3: Solve the quadratic equation by factorisation
- Completing the square
- Level 1: Quadratic turning point
- Level 2: Quadratic turning point
- The general quadratic formula
- Level 1: The quadratic equation discriminant
- Level 2: The quadratic equation discriminant
- Solving quadratic inequalities
- Quadratic models
- Level 1: Long division of polynomials
- Level 2: Long division of polynomials
- Level 3: Long division of polynomials
- Level 1: The cubic equation
- Level 2: The cubic equation
- Level 1: Factorisation of the cubic equation
- Level 2: Factorisation of the cubic equation
- Solving cubic inequalities
- Solving simultaneous linear equations
- Simultaneous linear equations in three unknowns
- Simultaneous linear equations in four unknowns
- Simultaneous linear equations word problems
- Partial sums of arithmetic series
Year 12
- Simplification and expansion of algebraic expressions
- Simplification of rational algebraic expressions
- Simplification of algebraic expressions involving integer indices
- Simplification of algebraic expressions involving rational indices
- Long division of polynomials
- Simultaneous linear equations in three unknowns
- Simultaneous linear equations in four unknowns
- Simultaneous nonlinear equations
- Partial sums of arithmetic series
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