6.03 Algebraic equations Linear equations in 6.03a Solve linear equations in one Set up and solve linear equations [Examples may include one unknown in mathematical and manipulation of algebraic unknown algebraically. contexts, including fractions, 6.01g] e.g. Solve those with the unknown on both sides of the equation. e.g. Solve Interpret solutions in context. Quadratic 6.03b Solve quadratic equations with Know the quadratic formula. coefficient of x2 equal to 1 by equations Rearrange and solve quadratic factorising. equations by factorising, completing the square or using e.g. Solve . the quadratic formula. Find x for an x cm by (x + 3) cm rectangle of area e.g. 40 cm2. 6.03c Simultaneous Set up and solve two linear Set up and solve two simultaneous equations in two simultaneous equations (one equations variables algebraically. linear and one quadratic) in two variables algebraically. e.g. Solve simultaneously e.g. Solve simultaneously and and Approximate 6.03d Use a graph to find the Use graphs to find approximate Know that the coordinates of approximate solution of a linear roots of quadratic equations and the points of intersection of a solutions using a the approximate solution of two curve and a straight line are the equation. graph linear simultaneous equations. solutions to the simultaneous equations for the line and curve.
6.03 Algebraic equations 6.03a Linear equations in one unknown Solve linear equations in one unknown algebraically. e.g. Solve Set up and solve linear equations in mathematical and contexts, including those with the unknown on both sides of the equation. e.g. Solve Interpret solutions in context. [Examples may include manipulation of algebraic fractions, 6.01g] 6.03b Quadratic equations Solve quadratic equations with coefficient of x2 equal to 1 by factorising. e.g. Solve . Find x for an x cm by (x + 3) cm rectangle of area 40 cm2. Know the quadratic formula. Rearrange and solve quadratic equations by factorising, completing the square or using the quadratic formula. e.g. 6.03c Simultaneous equations Set up and solve two linear simultaneous equations in two variables algebraically. e.g. Solve simultaneously and Set up and solve two simultaneous equations (one linear and one quadratic) in two variables algebraically. e.g. Solve simultaneously and 6.03d Approximate solutions using a graph Use a graph to find the approximate solution of a linear equation. Use graphs to find approximate roots of quadratic equations and the approximate solution of two linear simultaneous equations. Know that the coordinates of the points of intersection of a curve and a straight line are the solutions to the simultaneous equations for the line and curve.
379302-revision-checklist-higher-tier.docx