Mathematical Skills - GCSE Biology
Mathematical skills
In order to be able to develop their skills, knowledge and understanding in GCSE (9–1) in Biology A (Gateway Science), learners need to have been taught, and to have acquired competence in, the appropriate areas of mathematics relevant to the subject as indicated in the table of coverage below.
The questions and tasks used to target mathematical skills will be at a level of demand that is appropriate to GCSE (9–1) Biology.
In the Foundation Tier question papers, the questions that assess mathematical skills will not be of a lower demand than that which is expected of learners at Key Stage 3, as outlined in the Department for Education’s document 'Mathematics programme of study: key stage 3'.
In the Higher Tier question papers, the questions that assess mathematical skills will not be lower than that of question and tasks in assessment for the Foundation Tier in a GCSE qualification in Mathematics.
The assessment of quantitative skills would include at least 10% GCSE (or above) mathematical skills at the appropriate tier for biology.
These skills will be applied in the context of the relevant biology.
All mathematical content will be assessed within the lifetime of the specification.
This list of examples is not exhaustive and is not limited to GCSE examples. These skills could be developed in other areas of specification content as indicated in the opportunities to cover column.
The mathematical skills required for the GCSE (9–1) in Biology (B), Chemistry (C), Physics (P) and Combined Science (CS) are shown in the table below.
Mathematical Skills Requirements
| Ref | Mathematical skills | B | C | P | CS |
|---|---|---|---|---|---|
| M1 | Arithmetic and numerical computation | B | C | P | CS |
| M1a | Recognise and use expressions in decimal form | B | C | P | CS |
| M1b | Recognise and use expressions in standard form | B | C | P | CS |
| M1c | Use ratios, fractions and percentages | B | C | P | CS |
| M1d | Make estimates of the results of simple calculations | B | C | P | CS |
| M2 | Handling data | B | C | P | CS |
| M2a | Use an appropriate number of significant figures | B | C | P | CS |
| M2b | Find arithmetic means | B | C | P | CS |
| M2c | Construct and interpret frequency tables and diagrams, bar charts and histograms | B | C | P | CS |
| M2d | Understand the principles of sampling as applied to scientific data | B | |||
| M2e | Understand simple probability | B | |||
| M2f | Understand the terms mean, mode and median | B | P | CS | |
| M2g | Use a scatter diagram to identify a correlation between two variables | B | P | CS | |
| M2h | Make order of magnitude calculations | B | C | P | CS |
| M3 | Algebra | B | C | P | CS |
| M3a | Understand and use the symbols: =, <, <<, >>, >, ∝, ~ | B | C | P | CS |
| M3b | Change the subject of an equation | C | P | CS | |
| M3c | Substitute numerical values into algebraic equations using appropriate units for physical quantities | C | P | CS | |
| M3d | Solve simple algebraic equations | B | P | CS | |
| M4 | Graphs | B | C | P | CS |
| M4a | Translate information between graphical and numeric form | B | C | P | CS |
| M4b | Understand that y=mx+c represents a linear relationship | B | C | P | CS |
| M4c | Plot two variables from experimental or other data | B | C | P | CS |
| M4d | Determine the slope and intercept of a linear graph | B | C | P | CS |
| M4e | Draw and use the slope of a tangent to a curve as a measure of rate of change | C | P | CS | |
| M4f | Understand the physical significance of area between a curve and the x-axis and measure it by counting squares as appropriate | P | CS | ||
| M5 | Geometry and trigonometry | B | C | P | CS |
| M5a | Use angular measures in degrees | P | CS | ||
| M5b | Visualise and represent 2D and 3D forms including two dimensional representations of 3D objects | C | P | CS | |
| M5c | Calculate areas of triangles and rectangles, surface areas and volumes of cubes. | B | C | P | CS |