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KS3 Mathematics

Please see below Curriculum Overview and I Can Statements.

 
 

Curriculum Overview

 

Year 7

Year 8 Year 9

  Autumn Term

  • 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

 

AUTUMN ASSESSMENT – [Non-Calculator]

 

Spring Term

  • 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]

Summer Term 

  • 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

 

 

 

Year 7, Autumn Term, Unit 1

I can (Foundation)… 

I can (Developing)... 

I can (Secure)...  I can (Excellent)... 
  • 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 

 

 

 

Year 7, Autumn Term, Unit 2

I can (Foundation)…

I can (Developing)... 

I can (Secure)...  I can (Excellent)... 
  • 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 

 

Year 7, Autumn Term, Unit 3

I can (Foundation)…

I can (Developing)... 

I can (Secure)... 

I can (Excellent)... 

  • 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 

Year 7, Autumn Term, Unit 4

I can (Foundation)…

I can (Developing)... 

I can (Secure)...  I can (Excellent)... 
  • 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) 

Year 7, Autumn Term, Unit 5

I can (Foundation)…

I can (Developing)... 

I can (Secure)...  I can (Excellent)... 
  • 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 

Year 8, Autumn Term, Unit 1

I can (Foundation)…

I can (Developing)... 

I can (Secure)...  I can (Excellent)... 
  • 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 

Year 8, Autumn Term, Unit 2

I can (Foundation)…

I can (Developing)... 

I can (Secure)...  I can (Excellent)... 
  • 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 

Year 8, Autumn Term, Unit 3

I can (Foundation)…

I can (Developing)... 

I can (Secure)...  I can (Excellent)... 
  • 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 

Year 8, Autumn Term, Unit 4

I can (Foundation)…

I can (Developing)... 

I can (Secure)...  I can (Excellent)... 
 
  • 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 

Year 8, Autumn Term, Unit 5

I can (Foundation)…

I can (Developing)... 

I can (Secure)...  I can (Excellent)... 
  •  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