Year 8 Autumn Term Topics Covered Calculations Ratio, Proportion and Compound Measures Manipulating Algebraic Expressions Fractions

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1 Year 8 Autumn Term Topics Covered Note: grades given are our own internal 'Sprowston' grades used as a guide for the purpose of tracking students' progress Calculations Grade 2 Multiply and divide integers efficiently on paper and use BIDMAS Grade 3 Add, subtract, multiply and divide integers and decimals and use powers Grade 4 multiply and divide by numbers between 0 and 1 and integer powers of 10 Ratio, Proportion and Compound Measures Grade 2 simplify ratios and use unitary method of proportional reasoning including speed prob's Grade 3 solve ratio problems & use division to find multipliers for proportion, speed and currency Grade 4 write ratios as form 1:n, use unitary/ multiplier methods & recognise inverse proportion Manipulating Algebraic Expressions Grade 2 write expressions, substitute values in, simplify and expand brackets Grade 3 substitute negatives, use powers and factorise into single brackets Grade 4 use simple index laws when multilpying expressions and expend double brackets Fractions Grade 2 understand equivalence of fractions and simplify a fraction fully Grade 3 add and subtract fractions and convert between mixed numbers and improper fractions Grade 4 multiply fractions, find reciprocals and divide fractions Decimals, Fractions and Rounding Grade 2 order decimals, add and subtract decimals and know/use equivalent fractions Grade 3 multiply and divide decimals by decimals and confidently convert fractions decimals Grade 4 divide by decimals, round decimals, make estimates, know recurring decimals ASSESSMENT 1 Sampling, Displaying and Analysing Data Grade 2 represtent data in dual bar charts and line graphs and compare distributions Grade 3 know when different graphs and charts are appropriate and use pie charts Grade 4 understand data types and bias, group data, draw frequency diagrams and stem & leaf

2 Year 8 Spring Term Topics Covered Special Numbers Grade 2 systematically find multiples, factors and primes, add/subtract positives from negatives Grade 3 Find HCF and LCM in simple cases and use 4 operations with negative numbers Grade 4 use BIDMAS with powers, roots & negatives and use standard form for large numbers Mensuration Grade 2 find areas of triangles, area and perimeter of compound shapes, volume of cuboid Grade 3 find areas of parallelogram and trapezia and surface area of cuboids Grade 4 find area and circumference of circles and volume of prisms Equations, Formulae and Inequalities Grade 2 construct and solve two-step linear equations and show inequalities on a number line Grade 3 solve equations with unknowns on both sides and solve simple inequalities Grade 4 solve equations with negative coefficients, inequations, begin to rearrange formulae Properties of Shapes Grade 2 classify quadrilaterals and represent 3D shapes in 2D Grade 3 know regular polygons and understand silmilarity and congruence Grade 4 Understand and use Pythagoras' Theorem in right angled triangles ASSESSMENT 2 Percentages Grade 2 convert percentages to decimals and fractions and find a percentage of an amount Grade 3 express a number as a percentage of another, use decimals to find percentages of n o s Grade 4 use decimal multipliers to increase and decrease by a percentage

3 Year 8 Summer Term Topics Covered Sequences Grade 2 recognise squares, cubes, triangles and Fibonacci and nth term rules in words Grade 3 use algebraic nth term rules to generate and describe linear increasing sequences Grade 4 find nth term rules for decreasing linear sequences and triangular numbers Functions and Graphs Grade 2 use coordinates in 4 quadrants, substitute into functions and generate coordinates Grade 3 plot graphs of linear functions from a table and draw real-life graphs Grade 4 find gradients, know the form y=mx+c and, plot quadratic graphs and real life graphs Angles and Constructions Grade 2 contruct and classify triangles and calculate missing angles Grade 3 use compasses to construct triangles and solve angle problems involving parallel lines Grade 4 prove angle results and solve problems involving bearings Probability Grade 2 calculate probabilities of single events as (simplified) fractions, decimals or percentages Grade 3 calculate P(A or B) and P(Not X) for single events with mutually exclusive outcomes Grade 4 calculate probabilities with two events and estimate no of times an event will occur Averages Grade 2 find all averages and range and compare distributions Grade 3 calculate averages from tables and charts Grade 4 calculate averages from stem and leaf and solve mean problems END OF YEAR 8 ASSESSMENT Transformations Grade 2 enlarge shapes by a scale factor Grade 3 enlarge from a centre and find and use scale factors Grade 4 find centres of enlargement and describe enlargements fully Grade 5 enlarge by fractional scale factors from a centre

4 Fractions Manipulating Algebraic Expression Ratio, Proportion and Compound Measures Calculations N1 I can.. add subtract, multiply and divide mentally (including in context) multiply and divide integers and decimals by 10, 100,. divide numbers and give the answer as a mixed number use BIDMAS to calculate mentally (with jottings) add and subtract numbers efficiently on paper multiply, square and divide efficiently on paper use a calculator efficiently to solve problems, not rounding at intermediate steps understand the effect of multiplying and dividing by numbers between 0 and 1 understand equivalence of 0.1, 1/10 and 10-1 and multiply and divide by 10 n (integer n) R1 I can.. use ratio notation, understand equivalence and simplify ratios understand the relationship between a ratio and the fractions of the whole for each part share an amount in a given ratio and find one part when the other is known write ratios in the form 1:n or n:1 to compare them and solve problems master unitary and multiplier methods and decide sensibly which to use calculate best value for money convert between currencies understand that speed is a compound measure and accurately measure speeds use proportional reasoning to solve speed problems involving speed, distance & time understand inverse proportion and solve simple problems informally without algebra A1 I can.. write expressions and use correct algebraic notation and conventions know the difference between an expression and an equation substitute positive and negative integers into expressions use substitution to decide whether expressions are equivalent simplify algebraic expressions by collecting like terms multiply algebraic expressions and use simple index laws expand and factorise single brackets expand and simplify sums and differences of two single brackets expand double brackets in one variable N2 I can.. understand equivalent fractions and simplify fully write a number as a fraction of another in various contexts find fractions of integers and decimals including real life problems convert between mixed numbers and improper fractions add and subtract mixed numbers multiply and divide fractions by integers multiply proper fractions cancel common factors first to simplify proper fraction multiplications understand reciprocals and divide proper fractions by proper fractions

5 Mensuration Special Numbers Sampling, Displaying and Analysing Data Decimals, Fractions and Rounding N3 I can.. understand place value and use decimals in contexts of money and measurement compare and order decimals add and subtract decimals mentally and efficiently on paper multiply and divide decimals by 10,100, and then by 0.1, 0.1 multiply decimals mentally and efficiently on paper divide by decimals by transforming to division by an integer round to decimal places and significant figures use rounding to make estimates convert between fractions and decimals recognise common recurring decimals and know they are exact fractions S2 I can.. understand different types of data: discrete, continuous, quantitative, qualitative collect data effectively using data capture sheet appropriate to the type of data understand "sample" and "population" and appreciate importance of sample size understand bias and produce samples and questionnaires that minimise it group continuous data into appropriate intervals of equal width construct and interpret frequency diagrams (bar charts for continuous data) construct and interpret stem and leaf diagrams compare two distributions N4 I can.. systematically find all factors and the first few multiples of a number Find the HCF and LCM of two numbers write an integer as a product of prime factors and know it is unique use venn diagrams to find the HCF and LCM of two numbers order, add and subtract negative numbers on a number line multiply and divide negative numbers use BIDMAS with negative numbers, small integer powers and roots one and zero powers, and index laws for multiplication use standard form for large numbers multiply and divide numbers in standard form with and without a calculator G2 I can.. calculate perimeters of compound shapes made from rectangles calculate areas of compound shapes made of rectangles & triangles derive and use formulae for area of triangle and parallelogram derive equivalent fomulae for area of trapezium in different ways find areas of all rectilinear shapes including algebra problems understand that π is circle diameter for any circle solve circumference, radius and diameter problems establish and use the relationship between area and radius recognise prisms, calculate their volumes and solve problems

6 Sequences Percentages Properties of Shapes Equations, Formulae and Identities A2 I can.. solve equations with unknown on one side solve eq'ns with brackets, negative coeffs and division (x on numerator) solve equations with unknown on both sides and the above set up & solve equations to solve angle, perimeter and word problems solve linear inequations with unknowns on both sides list the integers that satisfy and inequality rearrange and use simple formulae G3 I can.. Investigate the relationship between sides in right triangles establish Pythagoras' Theorem use Pythagoras' Theorem to find the hypotenuse use Pythagoras' Theorem to find a shorter side solve problems involving right triangles in context (e.g. bearings) N5 I can.. understand percentages as fractions out of 100 convert between percentages and fractions (and decimals) find one amount as a percentage of another with or without a calculator find percentages of amounts without a calculator use decimal multipliers to find percentages of amounts with a calculator use decimal multipliers to increase/ decrease by a percentage with a calculator A4 I can.. understand the n th term rule of a sequence use the n th term rule to generate sequences and find terms further on find the n th term rule for an increasing linear sequence find the n th term rule for a decreasing/ fractional linear sequence use n th term rules to solve problems in the context of patterns derive the rule for the n th triangular number

7 Averages Probability Angles and Constructions Functions and Graphs A3 I can.. plan and draw axes and plot and read coordinates in 4 quadrants use tables of values to plot graphs of linear functions plot graphs of linear functions defined implicitly (e.g. ax+by=c) find gradients of straight lines understand the form y=mx+c and the meaning of m and c write down the equation of a straight line In the form y=mx+c plot quadratic graphs draw and use linear distance-time and velocity-time graphs draw and use real life graphs, interpret e.g. fixed charge & cost per unit G1 I can.. recognise vertically oppostite, corresponding and alternate angles solve angle problems involving parallel lines, stating reasons understand geometric proof & prove angle sum of general triangle solve angle problems (triangles, isosceles, quad's & parallels) solve angle problems involving algebra construct triangles including (SSS) measure and construct bearings solve problems involving bearings construct & interpret scale drawings involving maps and bearings P1 I can.. calculate probabilities as fractions, decimals or percentages use P(not X)=1-P(X) add probabilities to find P(A or B) list all outcomes for two events and construct sample space diagrams calculate probabilities with two events use experiments to estimate probabilities estimate no of times an event will occur using theoretical / experimental probability use union and intersection notation for venn diagrams S1 I can.. calculate mean median mode and range use averages and range to make comparative statements about two sets of data solve harder problems involving the mean and working backwards know the advantages and disadvantages of the different averages find averages from stem and leaf diagrams and pie charts

8 Transformations G4 I can.. enlarge a shape by a positive integer scale factor (no centre) find the scale factor for an enlargement enlarge a shape by a positive integer scale factor from a centre enlarge a shape by a positive fractional scale factor from a centre describe enlargements fully on a grid or plain paper