Graphs
Groups
Coordinates
Plotting points in all four quadrants, with midpoints and missing corners.
Straight-line graphs
The line a linear equation draws: gradient, intercept and related lines.
Quadratic graphs
The parabola a quadratic draws: symmetry, roots, intercept and turning point.
Cubic, reciprocal and other curves
Cubic and reciprocal curves, and exponential and trigonometric ones at Higher.
Real-life graphs
Graphs of journeys, charges and readings, and what gradient and area mean.
Transformations of graphs
Higher tier: how adding moves a graph and a minus sign reflects it.
Gradients and areas under curves
Higher tier: gradients of curves, rates of change, and areas under graphs.
Circles on coordinate axes
Higher tier: the circle x² + y² = r², its tangents, and lines that cross it.