knowledge of fractions density, pressure) in and use and multiples numerical and proportion as equality algebraic contexts of ratios use compound units express a multiplicative such as density and relationship between pressure two quantities as a ratio or a fraction use compound units (such as speed, rates of pay, unit pricing) change freely between compound (e.g. speed, rates of pay, prices) in numerical contexts relate ratios to fractions and to linear functions Solving Equations and Inequalities Stage Stage Stage 6m Stage 7m Stage 8k Stage 9f Stage 9j 10c Stage 10h 10m 4 5 solve linear solve quadratic enumerate recognise and solve linear and solve, in simple find approximate inequalities in two equations possibilities of use relationships equations with use the concepts cases, two solutions to variables algebraically by combinations of between the unknown on and vocabulary of linear equations represent the factorising two variables operations, both sides of inequalities simultaneous numerically solution set to an solve quadratic including inverse the equation equations in express missing solve linear iteration inequality using set equations operations (e.g. two variables number find inequalities in solve two linear notation and on a (including those cancellation to algebraically problems approximate one variable simultaneous graph that require simplify algebraically solutions to derive an represent the equations in two rearrangement) calculations and linear equations equation (or solution set to an variables algebraically by expressions) using a graph two inequality on a algebraically find pairs of factorising solve linear simultaneous number line numbers that equations in one equations), find approximate satisfy an unknown solve the solutions to equation with algebraically equation(s) and quadratic two unknowns interpret the equations using a solution graph find deduce roots of approximate quadratic solutions to functions simultaneous algebraically equations using a graph
knowledge of fractions and multiples and use proportion as equality of ratios express a multiplicative relationship between two quantities as a ratio or a fraction use compound units (such as speed, rates of pay, unit pricing) change freely between compound (e.g. speed, rates of pay, prices) in numerical contexts relate ratios to fractions and to linear functions density, pressure) in numerical and algebraic contexts use compound units such as density and pressure Solving Equations and Inequalities Stage 4 Stage 5 Stage 6m Stage 7m Stage 8k Stage 9f Stage 9j 10c Stage 10h 10m enumerate possibilities of combinations of two variables express missing number problems algebraically find pairs of numbers that satisfy an equation with two unknowns recognise and use relationships between operations, including inverse operations (e.g. cancellation to simplify calculations and expressions) solve linear equations in one unknown algebraically solve linear equations with the unknown on both sides of the equation find approximate solutions to linear equations using a graph and use the concepts and vocabulary of inequalities solve linear inequalities in one variable represent the solution set to an inequality on a number line solve, in simple cases, two linear simultaneous equations in two variables algebraically derive an equation (or two simultaneous equations), solve the equation(s) and interpret the solution find approximate solutions to simultaneous equations using a graph find approximate solutions to equations numerically iteration solve two linear simultaneous equations in two variables algebraically solve linear inequalities in two variables represent the solution set to an inequality using set notation and on a graph solve quadratic equations algebraically by factorising solve quadratic equations (including those that require rearrangement) algebraically by factorising find approximate solutions to quadratic equations using a graph deduce roots of quadratic functions algebraically
Year-9-Curriculum-Guide-MASTER1.docx