Functional Skills Syllabus

Level 2 - using numbers and the number system – whole numbers, fractions, decimals and percentages

 

1. Read, write, order and compare positive and negative numbers of any size

2. Carry out calculations with numbers up to one million including strategies to check answers including estimation and approximation

3. Evaluate expressions and make substitutions in given formulae in words and symbols

4. Identify and know the equivalence between fractions, decimals and percentages

5. Work out percentages of amounts and express one amount as a percentage of another

6. Calculate percentage change (any size increase and decrease), and original value after percentage change 7. Order, add, subtract and compare amounts or quantities using proper and improper fractions and mixed numbers 8. Express one number as a fraction of another

9. Order, approximate and compare decimals

10.Add, subtract, multiply and divide decimals up to three decimal places 11.Understand and calculate using ratios, direct proportion and inverse proportion

12.Follow the order of precedence of operators, including indices

Level 2 - measures, shape and space

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13.Calculate amounts of money, compound interest, percentage increases, decreases and discounts including tax and simple budgeting 14.Convert between metric and imperial units of length, weight and capacity using a) a conversion factor and b) a conversion graph

15.Calculate using compound measures including speed, density and rates of pay

16.Calculate perimeters and areas of 2-D shapes including triangles and circles and composite shapes including non-rectangular shapes (formulae given except for triangles and circles)

17.Use formulae to find volumes and surface areas of 3-D shapes including cylinders (formulae to be given for 3-D shapes other than cylinders) 18.Calculate actual dimensions from scale drawings and create a scale diagram given actual measurements 19.Use coordinates in 2-D, positive and negative, to specify the positions of points

20.Understand and use common 2-D representations of 3-D objects

21.Draw 3-D shapes to include plans and elevations

22. Calculate values of angles and/or coordinates with 2-D and 3-D shapes

Level 2 - handling information and data

 

 

 

23.Calculate the median and mode of a set of quantities

24.Estimate the mean of a grouped frequency distribution from discrete data

25.Use the mean, median, mode and range to compare two sets of data 26.Work out the probability of combined events including the use of diagrams and tables, including two-way tables

27.Express probabilities as fractions, decimals and percentages

28.Draw and interpret scatter diagrams and recognise positive and negative correlation

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Level 2 - solving mathematical problems and decision making

 

 

Students at Level 2 are expected to be able to:

• Read, understand, and use mathematical information and mathematical terms;

• Address individual problems as described above;

• Use knowledge and understanding to a required level of accuracy;

• Identify suitable operations and calculations to generate results;

• Analyse and interpret answers in the context of the original problem;

• Check the sense and reasonableness of answers; and

• Present and explain results clearly and accurately demonstrating reasoning to support the process and show consistency with the evidence presented.

The context of individual problems at this level will require interpretation and analysis in order for the student to be able independently to identify and carry out an appropriate mathematical process or processes.