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Year 10 / GCSE · Maths

Algebra: Graphs

Year 10 / GCSE learners practise straight line and curve graphs gcse.

The activities include Estimate the Gradient of a Curve, Find Perpendicular Lines, Find the Area Under a Curve, and related practice. The checked support below includes video, teaching, worksheet, practice. Open a resource in its provider's website and choose the format that best helps the learner explain the idea independently.

Activities covered

  • Estimate the Gradient of a Curve
  • Find Perpendicular Lines
  • Find the Area Under a Curve
  • Find the Equation of a Line
  • Find the Gradient Between Two Points
  • Find the Midpoint
  • Identify and Interpret the Significant Points of a Quadratic Graph
  • Identify Parallel Lines
  • Identify Transformations with Trigonometric Graphs
  • Interpret Real Life Exponential Graphs
  • Interpret Real Life Reciprocal Graphs
  • Plot Quadratic Graphs
  • Recognise and Interpret Quadratic Graphs
  • Recognise and Interpret Simple Cubic and Reciprocal Graphs
  • Recognise and Interpret Simple Exponential Graphs
  • Recognise and Interpret the Cosine Graph
  • Recognise and Interpret the Sine Graph
  • Recognise and Interpret the Tangent Graph
  • Sketch Quadratics From Their Functions
  • Understand Conversion Graphs
  • Use a Graph to Solve an Equation
  • Work with Coordinates in Four Quadrants
  • Work with Coordinates in One Quadrant

Checked learning resources

  • Average gradient of a curve

    Oak National Academy · Video · Opens on the provider website

    GCSE Higher Maths lesson joining two points on a curve and calculating the gradient of the resulting chord to estimate an average rate of change.

  • Perpendicular linear graphs

    Oak National Academy · Video · Opens on the provider website

    GCSE Higher Maths lesson finding perpendicular gradients as negative reciprocals and using a point to determine the equation of the perpendicular line.

  • Estimating area under a curved speed-time graph

    Oak National Academy · Video · Opens on the provider website

    GCSE Higher Maths lesson splitting the area under a non-linear speed-time graph into trapezia to estimate distance travelled.

  • Equation of a line from coordinates

    Oak National Academy · Video · Opens on the provider website

    GCSE Higher Maths lesson finding the gradient from two points or using a given gradient and one point, then substituting to determine the intercept.

  • Midpoint of a coordinate line segment

    Corbett Maths · Video · Opens on the provider website

    GCSE explanation and questions averaging x- and y-coordinates to find a midpoint and reversing the method to find a missing endpoint.

  • Roots, intercept and vertex of a quadratic graph

    Oak National Academy · Video · Opens on the provider website

    GCSE Higher Maths lesson identifying roots at x-axis intersections, the y-intercept and the maximum or minimum turning point.

  • Parallel linear graphs

    Oak National Academy · Video · Opens on the provider website

    GCSE Higher Maths lesson recognising that distinct parallel lines have equal gradients and different intercepts, from equations or graphs.

  • Combining transformations of functions

    Oak National Academy · Video · Opens on the provider website

    GCSE Higher Maths lesson applying translations, stretches and reflections to function graphs while respecting the order of operations.