Objectives:


Support:

  • Express simple functions in words.
  • Generate coordinate pairs that satisfy a simple linear rule; recognise straight-line graphs parallel to the x-axis or y-axis.

Core:

  • Express simple functions in symbols; represent mappings expressed algebraically.
  • 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.

Extension:

  • Find the inverse of a linear function.
  • Plot graphs of linear functions (y given implicitly in terms of x), e.g. ay + bx = 0,
    y + bx + c = 0, on paper and using ICT;
  • Given values for m and c, find the gradient of lines given by equations of the form y = mx + c.
  • Discuss and interpret distance–time graphs.

Key Vocabulary:

  • function, function machine, symbol, generate, mapping, table, linear, coordinates, x-coordinate, y-coordinate, term, equation, straight-line graph, linear function, quadrant, axis, axes origin, gradient, intercept, origin.

Suggested Lesson Outcomes:


SUPPORT CORE

Framework:






Teaching & Learning Resources:


Function Machine Resources
Coordinates Resources
y=mx+c Resources
Graphs Resources
Gradient Resources