MATHEMATICS CONTINUUM ALGEBRA Year 7 Year 13 Begin using symbols and Manipulate algebraic Expand a pair of Complete the square Use the binomial Simplify algebraic letters expressions brackets expansion expressions using partial fractions Factorise quadratic expressions Solve simple linear Solve more complex Solve quadratic Solve simultaneous Solve cubic equations Solve polynomial equations linear equations equations equations equations with complex Solve equations with roots Solve quadratic and unknown powers using cubic equations using logs trial and error Continue a simple Identify the rule in a Find the nth term of a Solve problems by Find the nth term of a Solve problems number sequence simple number linear sequence identifying and quadratic sequence involving geometric and sequence analysing sequences arithmetic progressions Plot and read Draw graphs of simple Draw graphs of more Understand how Plot graphs of linear and Understand and draw y-intercept coordinates linear functions such as complex linear functions gradient and quadratic functions transformations of = 3 = -2 x y and link to the equation of a graphs Draw and interpret real linear graph life graphs such as distance-time graphs Substitute into Use simple formulae Construct formulae Change the subject of a Use the quadratic expressions and formulae formula formulae Differentiate and Differentiate and integrate polynomial integrate further functions functions including trigonometric functions
MATHEMATICS CONTINUUM ALGEBRA Year 7 Year 13 Begin using symbols and letters Manipulate algebraic expressions Expand a pair of brackets Factorise quadratic expressions Complete the square Use the binomial expansion Simplify algebraic expressions using partial fractions Solve simple linear equations Solve more complex linear equations Solve quadratic and cubic equations using trial and error Solve quadratic equations Solve simultaneous equations Solve cubic equations Solve equations with unknown powers using logs Solve polynomial equations with complex roots Continue a simple number sequence Identify the rule in a simple number sequence Find the nth term of a linear sequence Solve problems by identifying and analysing sequences Find the nth term of a quadratic sequence Solve problems involving geometric and arithmetic progressions Plot and read coordinates Draw graphs of simple linear functions such as x = 3 and y = -2 Draw graphs of more complex linear functions Draw and interpret real life graphs such as distance-time graphs Understand how gradient and y-intercept link to the equation of a linear graph Plot graphs of linear and quadratic functions Understand and draw transformations of graphs Substitute into expressions and formulae Use simple formulae Construct formulae Change the subject of a formulae Use the quadratic formula Differentiate and integrate polynomial functions Differentiate and integrate further functions including trigonometric functions