From Maths Struggles to Triumphs - The Key to Unlocking Maths Potential

1. Read, write, order and compare large numbers (up to one million)

2. Recognise and use positive and negative numbers

3. Multiply and divide whole numbers and decimals by 10, 100, 1000

4. Use multiplication facts and make connections with division facts

5. Use simple formulae expressed in words for one or two-step operations

6. Calculate the squares of one-digit and two-digit numbers

7. Follow the order of precedence of operators

8. Read, write, order and compare common fractions and mixed numbers

9. Find fractions of whole number quantities or measurements

10.Read, write, order and compare decimals up to three decimal places

11.Add, subtract, multiply and divide decimals up to two decimal places

12.Approximate by rounding to a whole number or to one or two decimal places

13.Read, write, order and compare percentages in whole numbers

14.Calculate percentages of quantities, including simple percentage increases and decreases by 5% and multiples thereof

15.Estimate answers to calculations using fractions and decimals

16.Recognise and calculate equivalences between common fractions, percentages and decimals

17.Work with simple ratio and direct proportions

18.Calculate simple interest in multiples of 5% on amounts of money

19.Calculate discounts in multiples of 5% on amounts of money

20.Convert between units of length, weight, capacity, money and time, in the same system

21.Recognise and make use of simple scales on maps and drawings

22.Calculate the area and perimeter of simple shapes including those that are made up of a combination of rectangles

23.Calculate the volumes of cubes and cuboids

24.Draw 2-D shapes and demonstrate an understanding of line symmetry and knowledge of the relative size of angles

25.Interpret plans, elevations and nets of simple 3-D shapes

26.Use angles when describing position and direction, and measure angles in degrees

27.Represent discrete data in tables, diagrams and charts including pie charts, bar charts and line graphs

28.Group discrete data and represent grouped data graphically

29.Find the mean and range of a set of quantities

30.Understand probability on a scale from 0 (impossible) to 1 (certain) and use probabilities to compare the likelihood of events

31.Use equally likely outcomes to find the probabilities of simple events and express them as fractions

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