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10 Mathematical skills

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5 topics · 25 learning objectives

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  1. 1 Arithmetic and numerical computation

    1. Recognise and use numbers in decimal form.

    2. Recognise and use numbers in standard form.

    3. Use ratios, fractions, percentages, powers and roots.

    4. Estimate results of simple calculations without a calculator.

    5. Use calculators to handle sin x and sin⁻¹ x, where x is in degrees.

  2. 2 Handling data

    1. 2A Significant figures

      Use an appropriate number of significant figures.

    2. 2B Arithmetic mean

      Understand and find the arithmetic mean (average).

    3. 2C Bar charts

      Construct and interpret bar charts.

    4. 2D Frequency tables, diagrams and histograms

      Construct and interpret frequency tables, diagrams and histograms.

    5. 2F Simple probability

      Understand simple probability.

    6. 2H Scatter diagrams

      Use a scatter diagram to identify a pattern or trend between two variables.

    7. 2I Order-of-magnitude calculations

      Make order-of-magnitude calculations.

  3. 3 Algebra

    1. Understand and use the symbols <, >, ∝ and ~.

    2. Change the subject of an equation.

    3. Substitute numerical values into algebraic equations using appropriate physical units.

    4. Solve simple algebraic equations.

  4. 4 Graphs

    1. Translate information between graphical and numerical form.

    2. Understand that y = mx + c represents a linear relationship.

    3. Plot two variables, discrete or continuous, from experimental or other data.

    4. Determine the slope and intercept of a linear graph.

    5. Understand, draw and use a curve tangent's slope as a measure of rate of change.

    6. Understand the physical significance of the area between a curve and the x-axis and measure it by counting squares where appropriate.

  5. 5 Geometry and trigonometry

    1. Use angular measures in degrees.

    2. Visualise and represent 2D and 3D objects, including 2D representations of 3D objects.

    3. Calculate triangle and rectangle areas and cube surface areas and volumes.