All
• Express simple functions algebraically and represent them in mappings or on a spreadsheet• Generate points in all four quadrants and plot the graphs of linear functions, where y is given explicitly in terms of x, on paper and using ICT; recognise that equations of the form y = mx + c correspond to straight-line graphs
• Construct linear functions arising from real-life problems and plot their corresponding graphs; discuss and interpret graphs arising from real situations, e.g. distance–time graphs
Most
• Find the inverse of a linear function
• Generate points and plot graphs of linear functions, where y is given implicitly in terms of x (e.g. ay + bx = 0, y + bx + c = 0), on paper and using ICT; find the gradient of lines given by equations of the form y = mx + c, given values for m and c
• Construct functions arising from real-life problems and plot their corresponding graphs; interpret graphs arising from real situations, e.g. time series graphs
Some
• Use ICT to explore the graphical representation of algebraic equations and interpret how properties of the graph are related to features of the equation, e.g. parallel and perpendicular lines
• Interpret the meaning of various points and sections of straight-line graphs, including intercepts and intersection, e.g. solving simultaneous linear equations
• Explore simple properties of quadratic functions; plot graphs of simple quadratic and cubic functions, e.g. y = x2, y = 3x2+4, y = x3
• Plot the graph of the inverse of a linear function
• Understand that equations in the form y = mx+c represent a straight line and that m is the gradient and c is the value of the y-intercept; investigate the gradients of parallel lines and lines perpendicular to these lines