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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. Use an appropriate number of significant figures.

    2. Understand and find the arithmetic mean (average).

    3. Construct and interpret bar charts.

    4. Construct and interpret frequency tables, diagrams and histograms.

    5. Understand simple probability.

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

    7. 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. 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. 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.