identify and interpret gradients use the form = mx + c to identify find approximate solutions to recognise and use the and intercepts of linear functions parallel lines problems such as simple equation of a circle with graphically find the equation of the line through kinematic problems involving centre at the origin recognise, sketch and interpret two given points, or through one point distance, speed and find the equation of a tangent graphs of linear functions and with a given gradient acceleration to a circle at a given point simple quadratic functions interpret the gradient of a straight line calculate or estimate gradients plot and interpret graphs and graph as a rate of change of graphs and areas under graphs of non-standard (piece-wise recognise, sketch and interpret graphs graphs (including quadratic linear) functions in real contexts, of quadratic functions and other non-linear graphs), to find approximate solutions to and interpret results in cases recognise, sketch and interpret graphs problems such as simple kinematic such as distance-time graphs, of simple cubic functions and the problems involving distance and velocity-time graphs and reciprocal function = 1/x with x 0 ≠ speed graphs in financial contexts plot and interpret graphs (including interpret the gradient at a reciprocal graphs) and graphs of point on a curve as the functions in real contexts, to instantaneous rate of change find approximate solutions to problems such as simple kinematic identify and interpret problems involving distance, speed and intercepts, turning points of acceleration quadratic functions graphically Conjecturing Stage 4 Stage 5 Stage 6 Stage 7 8 Stage 9h Stage 10j apply and prove the use the basic congruence standard circle theorems criteria for triangles (SSS, concerning angles, radii, SAS, ASA, RHS) tangents and chords, and apply angle facts, triangle use them to prove related congruence, similarity and results properties of quadrilaterals to conjecture and derive results about angles and sides, including Pythagoras’ Theorem and the fact that the base angles of an isosceles triangle are equal, and use known results to obtain simple proofs Analysing Statistics Stage 4 Stage 5 Stage 6 Stage 7 Stage 8 9 Stage 10o infer properties of populations or distributions from a sample, whilst knowing the limitations of sampling
identify and interpret gradients and intercepts of linear functions graphically recognise, sketch and interpret graphs of linear functions and simple quadratic functions plot and interpret graphs and graphs of non-standard (piece-wise linear) functions in real contexts, to find approximate solutions to problems such as simple kinematic problems involving distance and speed use the form = mx + c to identify parallel lines find the equation of the line through two given points, or through one point with a given gradient interpret the gradient of a straight line graph as a rate of change recognise, sketch and interpret graphs of quadratic functions recognise, sketch and interpret graphs of simple cubic functions and the reciprocal function = 1/x with x ≠ 0 plot and interpret graphs (including reciprocal graphs) and graphs of functions in real contexts, to find approximate solutions to problems such as simple kinematic problems involving distance, speed and acceleration find approximate solutions to problems such as simple kinematic problems involving distance, speed and acceleration calculate or estimate gradients of graphs and areas under graphs (including quadratic and other non-linear graphs), and interpret results in cases such as distance-time graphs, velocity-time graphs and graphs in financial contexts interpret the gradient at a point on a curve as the instantaneous rate of change identify and interpret intercepts, turning points of quadratic functions graphically recognise and use the equation of a circle with centre at the origin find the equation of a tangent to a circle at a given point Conjecturing Stage 4 Stage 5 Stage 6 Stage 7 8 Stage 9h Stage 10j use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS) apply angle facts, triangle congruence, similarity and properties of quadrilaterals to conjecture and derive results about angles and sides, including Pythagoras’ Theorem and the fact that the base angles of an isosceles triangle are equal, and use known results to obtain simple proofs apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results Analysing Statistics Stage 4 Stage 5 Stage 6 Stage 7 Stage 8 9 Stage 10o infer properties of populations or distributions from a sample, whilst knowing the limitations of sampling
Year-9-Curriculum-Guide-MASTER1.docx