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These are the statements describing what students need to learn:

- 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
- 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
- 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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