Year 9 Autumn Term Topics Covered Calculations Special Numbers Manipulating Algebraic Expressions Fractions Decimals, Fractions and Rounding

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1 Year 9 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 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 Grade 5 - Special Numbers 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 Grade 5 understand negative powers of 10 and use standard form for small numbers Manipulating Algebraic Expressions Grade 3 substitute negatives, use powers and factorise into single brackets Grade 4 use simple index laws when multilpying expressions and expend double brackets Grade 5 square single brackets and factorise quadratic expressions Fractions Grade 3 add and subtract fractions and convert between mixed numbers and improper fractions Grade 4 multiply fractions, find reciprocals and divide fractions Grade 5 multiply and divide mixed numbers, simplify, add and subtract algebraic fractions Decimals, Fractions and Rounding 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 Grade 5 convert between reccuring decimals & fractions, estimate and find bounds ASSESSMENT 1 Probability 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 Grade 5 draw tree diagrams for two independent events and use them to find probabilities

2 Year 9 Spring Term Topics Covered Equations, Formulae and Inequalities 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 Grade 5 solve two linear simultaneous equations & rearrange formulae involving powers/ roots Ratio, Proportion and Compound Measures 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 Grade 5 recognise direct proportion graphs, write formulae, solve pressure & density problems Properties of Shapes Grade 3 know regular polygons and understand silmilarity and congruence Grade 4 Understand and use Pythagoras' Theorem in right angled triangles Grade 5 use trigonometry problems in right angle triangles and Pythagoras in other shapes Functions and Graphs 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 Grade 5 use y=mx+c to solve problems, find midpoints, analyse speed/t and velocity/t graphs ASSESSMENT 2 Transformations Grade 3 use vectors to describe and perform translations Grade 4 combine translations and identify parallel vectors Grade 5 add, subtract and scalar multiply vectors using a diagram

3 Year 9 Summer Term Topics Covered Mensuration 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 Grade 5 solve problems involving arcs and sectors and surface area of prisms Percentages 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 Grade 5 solve compound interest problems and use unitary method for reverse percentages Angles and Constructions Grade 2 contruct and classify triangles and calculate missing angles Grade 3 solve isosceles/ quadrilateral angle problems and construct bisectors of lines/ angles Grade 4 solve loci problems and find angles in regular/ irregular polygons Averages Grade 3 calculate averages from tables and charts Grade 4 calculate averages from stem and leaf and solve mean problems Grade 5 estimate the mean from grouped data Sampling, Displaying and Analysing Data 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 Grade 5 construct and interpret scatter diagrams and frequency polygons END OF YEAR 8 ASSESSMENT Sequences 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 Grade 5 generate quadratic sequences and find the nth term rule in simple cases

4 Manipulating Algebraic Expressions Fractions Special Numbers Calculations N1 I can. fluently add, subtract, multiply and divide integers/ decimals mentally & on paper use BIDMAS in written calculations with powers, roots, fractions and negatives 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 N4 I can. write an integer as a product of prime factors using index notation find the HCF and LCM of two numbers using venn diagrams where appropriate add, subtract, multiply and divide negative integers, decimals and fractions use BIDMAS with negatives, powers and roots and estimate square roots understand one and zero powers understand negative powers of 10 and use metric prefixes understand negative powers of 10 write lerge and small numbers in standard form multiply and divide numbers in standard form with/ without calculators A1 I can. understand "expression", "equation", "identity" and "formula" substitute +ve, -ve numbers & fractions in expressions with indices add, subtract and multiply expressions and simplify (inc' indices) simplify algebraic fractions by cancelling common factors (indices) expand and factorise single brackets, sums and differences expand and factorise single brackets expand and simplify sums and differences of two single brackets square linear expressions by expanding double brackets expand double brackets in one or two variables factorise quadratic expressions N2 I can. simplify fractions, write and simplify a number as a fraction of another in contexts convert fluently between mixed numbers and improper fractions add and subtract fractions/ mixed numbers fluently & in problem solving contexts multiply and divide mixed numbers and fractions find integer powers of fractions and mixed numbers, cancelling first as appropriate simplify algebraic fractions add and subtract simple algebraic fractions

5 Ratio, Proportion and Compound Measures Equations, Formulae and Identities Probability Decimals, Fractions and Rounding N3 I can. understand the effect of multiplying & dividing by 0.1, 0.01, etc multiply and divide decimals by numbers between -1 and 1 multiply and square decimals mentally and efficiently on paper divide by decimals by transforming to division by an integer convert between fractions and decimals convert between reccuring decimals and fractions round to decimal places and significant figures estimate calculations by rounding to one significant figure find upper and lower bounds for rounded numbers and meaurements find bounds for calculations involving multiplication and addition P1 I can. calculate probabilities and make predictions by: probability number of trials use union and intersection notation for venn diagrams find probabilities from venn diagrams use P(not X)=1-P(X) and add probabilities to find P(A or B) find missing probabilities in a table including algebraic problems use tree diagrams to list all outcomes with two independent events use tree diagrams to calculate probabilities with two independent events A2 I can. solve linear equations with unknowns both sides solve equations with brackets, -ve coefficients and denominators solve equations with the unknown in the denominator set up & solve equations to solve angle, perimeter and word prob's rearrange formulae involving square roots and powers understand simultaneous equations solve simultaneous equations any substitution solve inequations & understand multiplying/ dividing by negatives R1 I can. use ratio notation, simplify ratios and understand the link to fractions solve ratio problems involving sharing and scaling ratios solve harder ratio problems in various contexts solve ratio problems involving algebra master unitary and multiplier methods for direct proportion recognise the features of direct proportion graphs write a formula for two quantities in direct proportion understand the compound measures speed, pressure and density solve speed, densty and pressure prob's by proportional reasoning

6 Mensuration Transformations Functions and Graphs Properties of Shapes G3 I can. use Pythagoras' Theorem in isosceles / rectangles etc.. find the shortest distance between two coordinate points use Pythagoras' Theorem leaving answers in exact surd form understand the meaning of the trigonometric ratios; sin, cos & tan use trig' ratios to find sides with unknown on the numerator use trig' ratios to find sides with unknown on the denominator understand the inverse trigonometric ratios sin -1, cos -1, tan -1 use inverse trig ratios to find angles in right triangles use trigonometry to sole problems in context (e.g. bearings) A3 I can. use tables to plot implicit/ explict linear graphs find gradient and intercept of straight line graphs 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 find midpoints of lines & identify parallel lines from their equations find the equation of a line with given gradient through a point plot quadratic and cubic graphs and the graph of y=1/x find approximate solutions to quadratic equations graphically draw and interpret d/t and v/t graphs know gradient is speed for a d/t graph and acceleration for a v/t graph G4 I can. identify planes of symmetry in 3D shapes describe translations unambiguously in words describe translations using column vectors translate a shape in a column vector understand the effect of one translation followed by another identify two parallel vectors G2 I can. derive & use formulae for area of parallelogram, trapezia, circles calculate area and circumference of circles and sectors calculate lengths of arcs perimeters of curvilinear shapes calculate volumes of prisms including cylinders calculate surface areas of prisms (involving use of Pythagoras) calculate surface areas of cylinders understand conversion of metric units of area and volume convert between measures of volume and capacity

7 Sampling, Displaying and Analysing Data Averages Angles and Constructions Percentages N5 I can. convert fluently between percentages and fractions (and decimals) find one amount as a percentage of another with or without a calculator use appropriate calc/ non calc methods to find %s of amounts and solve problems use decimal multipliers to increase/ decrease by a percentage with a calculator use decimal multipliers to solve compound interest and depreciation problems solve reverse percentage problems using a unitary method G1 I can. solve angle problems involving triangles, quad's and parallels solve angle problems invoving bearings derive formula for sum of interior angles in irregular polygon find missing angles in irregular polygons and solve algebra prob's derive formulae for interior and exterior angles of regular polygons solve problems involving angles in regular polygons construct bisectors of lines and angles and perpendiculars to lines construct loci of points equidistant from; 1 or 2 points, 1 or 2 lines solve abstract loci problems involving shading regions solve loci problems in scale drawings in real life contexts 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 calculate mean median mode and range from frequency tables estimate the mean (and range) from grouped frequancy tables identify the modal class and the class interval containing the median S2 I can. know data types and vocabulary and collect data efficiently and without bias group continuous data into appropriate intervals of equal width construct and interpret pie charts for samples of any size construct scatter diagrams for bivariate data describe correlation draw a line of best fit by eye and use it to make estimates draw frequency polygons and use them to compare two sets of data

8 Sequences A4 I can. find the n th term rule for an increasing or decreasing linear sequence use the n th term rule to generate sequences and find terms further on know what a quadratic sequence is and that common difference c generate terms of quadratic sequences from the n th term rule find the rule for simple quadratic sequences (no formal method) use n th term rules to solve problems in the context of patterns