Outcome | Kinematics Key knowledge • the concepts of position, time, average and instantaneous speed, velocity and acceleration, displacement and distance travelled • formulas for rectilinear motion involving constant acceleration • central difference, step functions, numerical approximation and limiting value. Key skills • construct continuous position-graphs, velocity-time and acceleration-time graphs based on empirical data, and interpret these and given graphs in context • determine position, time, speed, displacement, distance travelled, velocity and acceleration in contexts involving rectilinear motion, and solve related problems • apply the formulas for rectilinear motion involving constant acceleration to solve problems. Non-linear relations and functions Key knowledge • the definition of relation and function, independent and dependent variables, domain, co-domain and range, graphs and their features • reciprocal functions and their properties • distance formula and locus definitions of curves in the plane • cartesian, polar and parametric coordinate systems and graphs, including exact values for circular functions. Key skills • construct graphs from empirical data and form continuous interpolations and extrapolations, and identify and interpret key features of these graphs and given graphs • construct the graph of a reciprocal function from the graph of the original function • use the distance formula and locus definitions to obtain the rule of a relation and draw the corresponding curve • graph non-linear relations in the plane from their cartesian, polar and parametric representations, and identify and interpret their key features. |
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