Mathematical Skills - GCSE Physics

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Mathematical Skills

The table below identifies the mathematical skills that will be developed and assessed throughout this qualification. These are not explicitly referenced in the content. Details of the mathematical skills in other science subjects are given for reference.

Mathematical Skills in Science Subjects

Mathematical Skills	Science Subjects
Mathematical Skills	B	C	P
1 Arithmetic and numerical computation
A Recognise and use numbers in decimal form	✓	✓	✓
B Recognise and use numbers in standard form	✓	✓	✓
C Use ratios, fractions, percentages, powers and roots	✓	✓	✓
D Make estimates of the results of simple calculations, without using a calculator	✓		✓
E Use calculators to handle $\sin x$ and $\sin^{-1} x$ , where $x$ is expressed in degrees			✓
2 Handling data
A Use an appropriate number of significant figures	✓	✓	✓
B Understand and find the arithmetic mean (average)	✓	✓	✓
C Construct and interpret bar charts	✓	✓	✓
D Construct and interpret frequency tables, diagrams and histograms	✓		✓
E Understand the principles of sampling as applied to scientific data	✓
F Understand simple probability	✓	✓	✓
G Understand the terms mode and median	✓
H Use a scatter diagram to identify a pattern or trend between two variables	✓	✓	✓
I Make order of magnitude calculations	✓	✓	✓
3 Algebra
A Understand and use the symbols $<, >, \propto, \sim$		✓	✓
B Change the subject of an equation	✓	✓	✓
C Substitute numerical values into algebraic equations using appropriate units for physical quantities	✓	✓	✓
D Solve simple algebraic equations	✓	✓	✓
4 Graphs
A Translate information between graphical and numerical form	✓	✓	✓
B Understand that $y = mx + c$ represents a linear relationship		✓	✓
C Plot two variables (discrete and continuous) from experimental or other data	✓	✓	✓
D Determine the slope and intercept of a linear graph	✓	✓	✓
E Understand, draw and use the slope of a tangent to a curve as a measure of rate of change		✓	✓
F Understand the physical significance of area between a curve and the $x$ -axis, and measure it by counting squares as appropriate			✓
5 Geometry and trigonometry
A Use angular measures in degrees			✓
B Visualise and represent 2D and 3D objects, including 2D representations of 3D objects			✓
C Calculate areas of triangles and rectangles, surface areas and volumes of cubes	✓		✓