To be working at Level 4, I need to……

• Multiply & Divide whole numbers by 10 or 100
• Solve number problems using mental and written methods involving the 4 operations
• Know times tables up to 10 x 10
• Add and subtract decimals to two places
• Recognise proportions of a whole and use fractions and percentages to describe them
• Describe simple number patterns and relationships including multiple, factor and square
• Use simple formulae expressed in words
• Use co-ordinates in the first quadrant
• Make 3D models by linking faces and edges
• Draw common 2D shapes in different orientations on a grid
• Identify congruent shapes
• Identify orders of rotational symmetry
• Choose appropriate units and instruments for measurements
• Calculate perimeters of shapes
• Find areas of shapes by counting squares
• Find volumes of 3D shapes by counting cubes
• Collect discrete data and record them using a frequency table (or tally chart)
• Understand and use the mode and median
• Group data in equal class intervals
• Represent collected data in frequency diagrams and interpret their meaning
• Construct and interpret simple line diagrams
• Understand and use simple vocabulary associated with probability such as fair, certain and likely
  

To be working at Level 5, I need to……

• Multiply and divide whole numbers and decimals by 10, 100 and 1000
• Order, add and subtract negative numbers
• Use all four operations with decimals to two places
• Calculate fractional and percentage parts of quantities
• Multiply and divide any 3 digit number by any 2 digit number
• Apply inverse operations to check solutions
• Check solutions by estimating using approximations
• Construct and use simple formulae in symbolic form
• Measure and draw angles to the nearest degree
• Use language associated with angle
• Identify all the symmetries of 2D shapes
• Know rough metric equivalents of imperial units still in use
• Convert one metric unit to another
• Make sensible estimates of measures
• Understand and use the mean of discrete data
• Compare two distributions using range and one of the measures of average
• Interpret graphs and diagrams and draw conclusions
• Understand and use the probability scale from 0 to 1
• Calculate probabilities of single events
• Understand that different outcomes may result from repeating and experiment
  

To be working at Level 6, I need to……

• Approximate with decimals when solving equations such as x = 20, using trial and improvement
• Write one number as a fraction or percentage of another
• Understand the equivalence of fractions, decimals and percentages
• Calculate using ratios
• Find and describe in words the rule for the next term and the nth term of a sequence where the rule is linear
• Solve linear equations with integer coefficients
• Represent mappings expressed algebraically
• Use graphical representations in four quadrants
• Recognise and use 2D representations of 3D objects
• Know and use the properties of quadrilaterals when classifying them
• Know basic angle facts of polygons, and of intersecting and parallel lines
• Calculate the circumference and area of a circle
• Calculate areas of plane rectilinear shapes
• Calculate the volume of a cuboid
• Enlarge a shape by a positive whole number scale factor
• Collect and record continuous data in a frequency table
• Construct and interpret frequency diagrams
• Construct pie charts
• Draw conclusions form scatter diagrams and have a basic understanding of correlation
• Identify all possible outcomes when dealing with a combination of two events, using diagrammatic or tabular methods
• Know that the total probability of all mutually exclusive outcomes of an experiment is 1
  

 

To be working at Level 7, I need to……

• Estimate by rounding to one significant figure and multiplying or dividing mentally
• Understand the effects of multiplying and dividing by numbers between 0 and 1
• Understand and use proportional change
• Find and describe in symbols the next or nth term of a sequence where the rule is quadratic
• Use algebraic and graphical methods to solve simultaneous linear equations
• Solve simple inequalities
• Understand and apply Pythagoras' theorem in 2D
• Calculate lengths, areas and volumes in plane shapes and prisms
• Enlarge shapes by a fractional scale factor
• Determine the locus of an object moving according to a rule
• Appreciate the continuous nature of measurement and recognise the extent of inaccuracy when rounding
• Understand and use compound measures such as speed
• Specify hypotheses and test them by designing and using appropriate methods that take account of bias
• Determine the modal class and estimate the mean, median and range of sets of grouped data
• Select the average most appropriate to an enquiry
• Compare distributions using measures of averages and range
• Draw the line of best fit on scatter diagrams, by inspection
• Understand relative frequency as an estimate of probability and use it to compare the outcomes of experiments
  

To be working at Level 8, I need to……

• Solve problems involving calculating with powers, roots and numbers expressed in standard form
• Use fractions and percentages to solve problems involving repeated proportional change or the calculation of the original quantity given the result of a proportional change
• Calculate one variable, given the others, in formulae such as V = rh
• Manipulate algebraic formulae, equations and expressions by finding common factors
• Multiply two linear expressions
• Solve inequalities in two variables
• Sketch and interpret graphs of linear, quadratic, cubic and reciprocal functions and graphs that model real situations
• Understand and use mathematical similarity
• Use Trigonometry in 2D problems
• Distinguish between formulae for perimeter, area and volume by considering dimensions
• Interpret and construct cumulative frequency tables and diagrams, using the upper bound of the class interval
• Estimate the median and interquartile range to compare distributions
• Calculate the probabilities of either independent or mutually exclusive events