This unit is part of the **Functional Skills** and has the following learning outcomes and assessment criteria:

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**Numbers**- 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

**Measures, shape and space**- 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

**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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