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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. 1A Decimal-form numbers

      Recognise and use numbers in decimal form.

    2. 1B Standard-form numbers

      Recognise and use numbers in standard form.

    3. 1C Ratios, fractions, percentages, powers and roots

      Use ratios, fractions, percentages, powers and roots.

    4. 1D Estimate simple calculations

      Estimate results of simple calculations without a calculator.

    5. 1E Trigonometric calculator functions

      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. 3A Inequality and proportionality symbols

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

    2. 3B Change the subject of an equation

      Change the subject of an equation.

    3. 3C Substitute values with units

      Substitute numerical values into algebraic equations using appropriate physical units.

    4. 3D Solve simple algebraic equations

      Solve simple algebraic equations.

  4. 4 Graphs

    1. 4A Graphical and numerical forms

      Translate information between graphical and numerical form.

    2. 4B Linear relationships

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

    3. 4C Plot two variables

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

    4. 4D Slope and intercept

      Determine the slope and intercept of a linear graph.

    5. 4E Tangents and rate of change

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

    6. 4F Area under a curve

      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. 5A Angular measures

      Use angular measures in degrees.

    2. 5B Two- and three-dimensional objects

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

    3. 5C Areas, surface areas and volumes

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