• Unit 1: Written methods – integers, negatives, decimals
• Unit 2: Statistics – mean
• Unit 3: Units of measure, Perimeter and Area
• Unit 4: 3D shapes - Properties & nets, Surface area, Volume of Prisms, Units
• Unit 5: Factors, multiples & primes

AUTUMN ASSESSMENT – [Non-Calculator]

• Unit 1: Percentages – Conversions & percentage change
• Unit 2: Place value & order – negatives, decimals, fractions
• Unit 3: Rounding & approximation
• Unit 4: Statistics – mean, median, mode, range
• Unit 5: Statistical diagrams – interpret, draw & averages

AUTUMN ASSESSMENT – [Calculator]

• Unit 1: Indices & surds
• Unit 2: Standard index form – Conversions & four operations
• Unit 3: Quadratic expressions – Expanding, factorising & graphing
• Unit 4: Simultaneous equations

• Unit 6: Fractions – equivalence & four operations
• Unit 7: Algebra – expressions, substitution & formulae, Solving equations
• Unit 8: Properties of 2D shapes – triangles, quadrilaterals, circles
• Unit 9: Angles – angle properties

SPRING ASSESSMENT – [Non-Calculator]

• Unit 6: Area and circumference
• Unit 7: Volume – Composite, cylinders & rates of flow
• Unit 8: Transformations – Enlargement
• Unit 9: Understanding ratio
• Unit 10: Similarity, congruence & scale

SPRING ASSESSMENT – [Calculator]

• Unit 6:  Cumulative frequency – Graph & interpret
• Unit 7: Box and Whisker diagrams
• Unit 8: Probability – Theoretical, conditional & diagrams
• Unit 9: Quadratic sequences – Generate & describe
• Unit 10: Constructions, bisectors & Loci

SPRING ASSESSMENT – [Non-Calculator]

• Unit 10: Sequences – term-to-term, nth term, special sequences
• Unit 11: Co-ordinates & linear graphs
• Unit 12: Understanding proportion

SUMMER ASSESSMENT - [Calculator]

• Unit 13: Statistical diagrams – interpret & draw
• Unit 14: Probability

• Unit 11: Transformations – Reflection, rotation & translation
• Unit 12: Algebra – Re-arranging formulae
• Unit 13: Pythagoras Theorem

SUMMER ASSESSMENT – [Calculator]

• Unit 14: Algebra – Inequalities
• Unit 15: Gradient & y=mx+c

• Unit 11: Compound measures
• Unit 12: Error bounds
• Unit 13: Direct & inverse proportion

SUMMER ASSESSMENT – [Calculator]

• Unit 14: Trigonometry
• Unit 15: Bearings

• Compare integers and decimals, using the symbols less than (<) and greater than (>)  

• Add and subtract two or more integers with decimals, with varying numbers of significant figures 
• Multiply up to four-digit by three-digit whole numbers 
• Divide up to four-digit by three-digit whole numbers 

• Interpret remainders of division, with problems set in context 
• Multiply with a mixture of integers and decimals, including decimals with decimals (e.g. 0.6 and 0.06, 0.t × 0.t or 0.t × 0.0h, 0.0h × 0.t and 0.0h × 0.0h) 

• Understand the effect of dividing by a number between 0 and 1 

•  
• Multiply and divide any number by 10, 100 and 1000 
• Understand the effect of dividing by a number between 0 and 1 

• add and subtract negative integers from positive and negative integers 
• Multiply any number by 0.1, 0.01 and 0.001 
• Divide any number by 0.1, 0.01 and 0.001 

• Interpret answers to calculations using a multiplication or division fact 

• Add and subtract with positive and negative integers 
• Multiply and divide with positive and negative integers 

• multiply integers and decimals including by decimals such as 0.6 and 0.06, 0.t × 0.t or 0.t × 0.0h, 0.0h × 0.t and 0.0h × 0.0h 

• Divide by decimals, dividing by transforming to division by an integer 

• Know and use the priority of operations and laws of arithmetic 

• Divide integers with remainders and express as decimal answers, including recurring decimals 

• Understand the meaning of ‘average’ as a typicality (or location) 
• Calculate the mean of a set of discrete data 

• Interpret the mean of a set of discrete data 

• Use the mean to find a missing number in a set of data 
• Identify outliers in data samples and comment on their effect upon the mean   
• Calculate the mean from a frequency table 

• Evaluate changes to the mean when numbers are added / removed / replaced 
• Analyse and compare sets of data, appreciating the limitations of statistics like the mean 

• Use a ruler to accurately measure line segments to the nearest millimetre 
• Use a protractor to accurately measure angles to the nearest degree 
• Find the area of triangles by counting i.e. adding full and partial squares 

• Convert fluently between metric units of length  
• Convert fluently between metric units of mass 
• Deduce a formula for the area of a triangle 
• Use a formula to calculate the area of triangles 
• Deduce and use the formula for the area of a parallelogram 
• Calculate the perimeter and area of shapes made from rectangles 

• Convert fluently between units of time 
• Convert fluently between units of money 
• Calculate areas of compound shapes made from rectangles and triangles 

• Convert decimal times to hours, minutes, seconds 
• Deduce and use the formula for the area of a trapezium 

• Know the connection between faces, edges and vertices in various 3D shapes 
• Calculate the surface area of nets by counting squares  
• Calculate the surface area of cuboids by counting squares 
• Calculate the volume of 3D objects by counting 
•  

•  Know and use geometric properties of cuboids 
• Recognise and draw the nets of 3D shapes  
• Identify 3D shapes from their properties 
• Find the surface area of cubes and cuboids by calculation 
• Know and use the formula for the volume of a cuboid 
• Know rough metric equivalents of imperial measures in daily use (feet, miles, pounds, pints, gallons) 
• Convert between metric measures of capacity i.e. ml, cl, L  

•  Know and use geometric properties of shapes made from cuboids 
• Calculate surface areas of shapes made from cuboids, for example, L-shaped 
• Calculate the surface area of triangular prisms 
• Calculate volumes of shapes made from cuboids, for example, L-shaped 
• Calculate the volume of triangular prisms 
• Convert cm³ to ml and litres and vice versa  

• Identify and draw more complex nets of 3D shapes, including irregular polyhedral ones 
• Calculate the surface area of parallelogram and trapezoidal prisms 
• Calculate the volume of parallelogram and trapezoidal prisms 
• Convert between area measures (e.g. mm² to cm², cm² to m², and vice versa) 

• Find all possible factor pairs for any given integer 
• Use index notation for squares and cubes and for positive integer powers of 10 
• Use index notation for small integer powers (e.g. 3 × 2³ = 24) 

• Find the HCF or LCM of any two given numbers 
• Know all the squares of numbers up to 20 and recognise their square roots 
• Extend mental calculations to cubes and cube roots 
• Find prime numbers and test to see if they are prime  
• Use prime decomposition to express numbers as a product of their prime factors 
• Find other powers and roots (including using the √
•  symbol), including the use of a scientific calculator 

• Give the positive and negative square root of a square number 
• Be able to estimate square roots of non-square numbers less than 400 
• Combine laws of arithmetic for brackets with mental calculations of cubes and squares 
• Combine laws of arithmetic for brackets with mental calculations of cube roots and square roots 

• Mentally or otherwise calculate the squares of numbers, up to 20, multiplied by a multiple of ten (e.g. 0.2, 300, 0.400) 
• Finding the HCF and LCM using prime decomposition statements 
• Understand which part of an expression is raised to a power by knowing the difference between 3 × (7 + 8)²  and 32 × (7 + 8) and (3 × (7 + 8))² 

• Understand the meaning of ‘percentage’ 
•  

• Convert decimals and fractions into percentages, including mixed numbers 
• Calculate percentages of amounts without a calculator 
• Compare two quantities using percentages 
• Evaluate percentage increase/decrease of amounts 
• Calculate simple interest 

• Calculate percentages of amounts by identifying a multiplier 
• Write a quantity as a percentage of another 
• Evaluate the percentage change between two quantities 
• Calculate compound interest 

• Solve reverse percentage problems, finding the original value, without a calculator 
• Solve original value problems with a calculator, using a reverse multiplier  
• Solve compound interest problems, finding the number of years, n, or the rate of interest 

• Read, write and understand the place value of integers and decimals of any size. 
• Order positive and negative numbers, including decimals, as a list  

•  Use > or < correctly between two negative decimals  
• Find the reciprocal of a number 
• Know fractional equivalents to key recurring decimals e.g. 0.333333..., 0.66666666..., 0.11111… 

• Work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 and 3/8) 
• Order fractions by converting them to decimals or equivalent fractions.   
• Know the denominators of simple fractions that produce recurring decimals, and those that do not 

• Convert a recurring decimal to a fraction 
• use the symbols =, ≠, <, >, ≤, ≥ with any pair or combination of integers, decimals and fractions 

• Use rounding to the nearest power of 10 
• Round numbers to two or three decimal places 

• Know how to identify the total significant figures in any number 
• Know that there are different ways of finding an approximation and can judge whether an answer is an over/under-estimate 

• Round to an appropriate number of decimal places after calculations, e.g. money problems after division, etc. 
• Work with numbers rounded to whole numbers or to two decimal places to estimate solutions, e.g. average populations of cities under certain effects. 
• Round numbers to a given number of significant figures 
• Use numbers of any size rounded to 1 significant figure to make standardized estimates for calculations with more than one operation. 
• Calculate simple error intervals for measures using inequality notation a < x < b 

• Make standardized estimates for calculations involving mixed operations, including quotients, powers and roots 
• Calculate the lower and upper bounds of area and perimeter measurements 
• Calculate the bounds of error for surface area and volume problems 
• Calculate the bounds of error for compound measures problems 

• Find the mode of sets of data 
• Find the median of a set of data including when there are an even amount of numbers in the data set 
• Calculate and understand the range as a measure of spread (or consistency) 

• Analyse and compare sets of data, appreciating the limitations of different statistics (mean, median, mode, range) 

• Evaluate problems involving the mean of combined data sets 
• Calculate the mean of a subset of data 

•  Construct and interpret frequency tables 
• Construct bar charts for continuous data with equal intervals 
• Understand what is meant by ‘frequency density’ 

• Derive averages from singular and dual bar charts 
• Derive averages and range from a frequency table 
• Construct and interpret grouped frequency tables 
• Construct and interpret stem and leaf diagrams representing integer values 
• Derive the intervals containing the median and mode   

• Derive an estimate of the mean from a grouped frequency table 
• Derive averages and range from stem and leaf diagrams 
• Construct histograms for continuous data with unequal intervals 
• Construct frequency polygons from grouped frequency data 

• Construct and derive averages from stem and leaf diagrams representing decimal values 
• Interpret averages from histograms 
• Interpret frequencies from histograms 
• Interpret averages from frequency polygons