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Year 10 / GCSE · Maths

Lines And Vectors

Year 10 / GCSE learners practise vectors and coordinate geometry gcse.

The activities include Apply Algebraic Notation to Vectors, Recognise Horizontal and Vertical Lines Using x and y Coordinates, Reflect in a Given Line, and related practice. The checked support below includes video, worksheet, teaching, lesson. Open a resource in its provider's website and choose the format that best helps the learner explain the idea independently.

Activities covered

  • Apply Algebraic Notation to Vectors
  • Recognise Horizontal and Vertical Lines Using x and y Coordinates
  • Reflect in a Given Line
  • Solve Geometrical Problems Using Coordinates
  • Understand and Draw Vectors

Checked learning resources

  • Algebraic vector notation

    Oak National Academy · Video · Opens on the provider website

    Year 10 Higher lesson video writes routes such as OA = a, reverses direction as −a, adds connected routes, finds fractional positions and proves parallel or collinear vectors as scalar multiples.

  • Drawing vertical and horizontal graphs

    Oak National Academy · Video · Opens on the provider website

    Year 10 Foundation lesson video recognises and draws x = a as a vertical line with constant x-coordinate and y = b as a horizontal line with constant y-coordinate.

  • Reflecting points and shapes in a mirror line

    Corbett Maths · Video · Opens on the provider website

    GCSE video reflects points and complete shapes across axes and stated mirror lines, placing every image vertex the same perpendicular distance on the opposite side.

  • Problem solving with linear graphs and coordinates

    Oak National Academy · Video · Opens on the provider website

    Year 10 Foundation lesson video solves coordinate problems involving midpoints and gradients from pairs of points, including negative coordinates and graph interpretation.

  • Column vectors

    Oak National Academy · Video · Opens on the provider website

    Year 10 Foundation lesson video reads and draws column vectors as horizontal x-movement above vertical y-movement, using positive and negative components for all directions.

  • Algebraic vector notation worksheet and quizzes

    Oak National Academy · Worksheet · Opens on the provider website

    Year 10 Higher browser download page offers the exact worksheet and quizzes for reverse routes, vector sums, midpoints and parallel-vector reasoning.

  • Using Vectors in Geometrical Proofs Lesson Pack

    Twinkl / Beyond · Teaching · Account may be required

    KS4 Higher teaching pack uses algebraic vector routes to prove points are collinear and lines are parallel, with PowerPoint explanations, worksheet and answers.

  • Vertical and horizontal graphs worksheet and quizzes

    Oak National Academy · Worksheet · Opens on the provider website

    Year 10 Foundation browser download page offers worksheet and quiz practice identifying and sketching lines with constant x- or y-coordinate.