Appendix B: Maths requirements and examples
In order to be able to develop their skills, knowledge and understanding in Environmental Science, students need to have been taught, and to have acquired competence in, the appropriate areas of mathematics as indicated in the table of coverage below.
Overall at least 10% of the marks in assessments for Environmental Science will require the use of mathematical skills. These skills will be applied in the context of environmental science and will be at least the standard of higher tier GCSE mathematics.
The following tables illustrate where these mathematical skills may be developed during teaching or could be assessed.
This list of examples is not exhaustive. These skills could be developed or assessed in other areas of specification content. Other areas where these skills could be developed have been exemplified throughout this specification.
Mathematical skill number  Mathematical skills  Exemplification of mathematical skill in the context of Alevel Environmental Science (examples are not limited to those given below) 

MS 0.1  Recognise and make use of appropriate units in calculations 
Students should demonstrate their ability to:

MS 0.2  Recognise and use expressions in decimal and standard form 
Students should demonstrate their ability to:

MS 0.3  Use ratios, fractions and percentages 
Students should demonstrate their ability to:

MS 0.4  Estimate results 
Students should demonstrate their ability to:

MS 0.5  Use calculators to find and use power, exponential and logarithmic functions 
Students should demonstrate their ability to:

Mathematical skill number  Mathematical skills  Exemplification of mathematical skill in the context of Alevel Environmental Science (examples are not limited to those given below) 

MS 1.1  Use an appropriate number of significant figures 
Students should demonstrate their ability to:

MS 1.2  Find arithmetic means 
Students should demonstrate their ability to:

MS 1.3  Construct and interpret frequency tables and diagrams, bar charts and histograms 
Students should demonstrate their ability to:

MS 1.4  Understand simple probability  Students should demonstrate their ability to:

MS 1.5  Understand the principles of sampling as applied to scientific data 
Students should demonstrate their ability to:

MS1.6  Understand the terms mean, median and mode 
Students should demonstrate their ability to:

MS 1.7 
Use a scatter diagram to identify a correlation between two variables 
Students should demonstrate their ability to:

MS 1.8  Make order of magnitude calculations 
Students should demonstrate their ability to:

MS 1.9 
Select and use a statistical test 
Students should demonstrate their ability to select and use:

MS 1.10 
Understand measures of dispersion, including standard deviation and range 
Students should demonstrate their ability to:

MS 1.11  Identify uncertainties in measurements and use simple techniques to determine uncertainty when data are combined 
Students should demonstrate their ability to:

Mathematical skill number  Mathematical skills  Exemplification of mathematical skill in the context of Alevel Environmental Science (examples are not limited to those given below)  

MS 2.1  Understand and use the symbols : = < << >> > and ~.  No exemplification required.  
MS 2.2  Change the subject of an equation 
Students should demonstrate their ability to:


MS 2.3  Substitute numerical values into algebraic equations using appropriate units for physical quantities 
Students should demonstrate their ability to:
to assess the impact of a new habitat management regime. 

MS 2.4  Solve algebraic equations 
Students should demonstrate their ability to:


MS 2.5 
Use logarithms in relation to quantities that range over several orders of magnitude 
Students should demonstrate their ability to:

Mathematical skill number  Mathematical skills  Exemplification of mathematical skill in the context of Alevel Environmental Science (examples are not limited to those given below) 

MS 3.1  Understand data presented in a variety of graphical forms 
Students should demonstrate their ability to:

MS 3.2  Translate information between graphical numerical and algebraic forms 
Students should demonstrate their ability to:

MS 3.3  Plot two variables from experimental or other data 
Students should demonstrate their ability to:

MS 3.4 
Understand that y = m x + c represents a linear relationship 
Students should demonstrate their ability to:

MS 3.5  Determine the intercept of a graph 
Students should demonstrate their ability to:

MS 3.6  Calculate rate of change from a graph showing a linear relationship 
Students should demonstrate their ability to:

MS 3.7 
Draw and use the slope of a tangent to a curve as a measure of rate of change 
Students should demonstrate their ability to:

Mathematical skill number  Mathematical skills  Exemplification of mathematical skill in the context of Alevel Environmental Science (examples are not limited to those given below) 

MS 4.1 
Calculate the circumferences, surface areas and volumes of regular and irregular shapes 
Students should demonstrate their ability to:
