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RADNOR HOUSE MATHEMATICS SCHEME OF WORK YEAR 3 AUTUMN TERM SPRING TERM SUMMER TERM Understanding the number system 2D shape and 3D solids Time and clock • Units, tens hundreds • Circles and semi circles • Analogue clock • Writing numbers in words and • Triangles • The 24-hour clock digits • Quadrilaterals and polygons • Conversion to and from 24 hour • Ordering • Faces, edges and corners clock • Counting in nines • Prisms • Writing times from words • Counting in elevens • 3D solids with curved surfaces • Conversion from hours to minutes and reverse Adding and subtracting Dividing • Adding and subtracting time • Pairs that sum to ten • Fractions and division • Reading and using timetables • Column addition - a formal • Division by 10 and 100 • Mental strategies 5 method ( 2 cols) • Informal methods of division • Context problems hours • Column addition with carrying • Inverse operations • Context problems • Formal methods of division ( single Calendar per • Subtraction from ten digit) • Day, week, month, year week • Column subtraction - a formal • Rounding • Converting between days, weeks, method (2 cols) • Context problems and mental months and years • Opposite operations - addition strategies • Differences in time using a and subtraction calendar • Mental strategies Fractions • Mental strategies • Problem solving • Recognising fractions • Context problems • Adding simple fractions Multiplying • Simples equivalent fractions Carroll and Venn diagrams • Multiples • Lowest terms • Carroll diagrams • Multiplying by 10 and 100 • Fractions of a number • Venn diagrams • Formal method of multiplication • fractions and division (two by one digits) Handling data • Mental strategies Adding and subtracting revision (5, 25) • Pictograms • Context problems • Problem solving • Bar charts Multiplication tables • Mental strategies • Frequency • Repeated addition • Frequency graphs • Multiplying by 10 and 100 Measures and measurement • 2x tables • Reading and marking scales Problem solving/ investigation work • 5x tables • Drawing and measuring lines • Mini investigations • 10xtables accurately • Units of length, mass and capacity Money Number patterns • Writing measurements • Writing sums of money • Odd and even numbers • Choosing units • Converting between pounds and • Recognising patterns - counting • Estimating and practice measurement pence sequences • Context problems • Adding and subtracting money Multiplication tables • Multiplying money 5 Position co-ordinates • 3x • Problem solving with money • Finding and naming positions • 4x • Mental strategies hours using letter-number grids per Multiplication tables week Symmetry and reflection • 2x • Lines of symmetry • 3x • Horizontal and vertical lines • 4x • Recognising horizontal and • 5x vertical lines of symmetry • 10x • Completing shapes with symmetry - reflection Compass directions and angles • Cardinal points on a compass • Angles of 90, 180, 360 YEAR 4 AUTUMN TERM SPRING TERM SUMMER TERM 1 Number system 5 Addition and subtraction Statistics Place value • Adding and subtracting (up to 4 cols) • Collecting data • Ordering numbers • Opposite operations (inverses) • Pictograms • Counting in 10, 100, 1000 • Context problems • Bar charts • Mental strategies • Venn diagrams 2 Addition and subtraction • Carroll diagrams • Adding and subtracting (up to 4 6 Multiplication and division cols) • Odd and even numbers Proportion • Opposite operations (inverses) • multiples • Addition subtraction consolidation • Context problems • Multiplying/dividing by 100, 1000 • Multiplication/division • Mental strategies • Square numbers consolidation • Multiplication - two digits by one digit • Conversion of simple fractions to 4 3 Cartesian co-ordinates • Multiplication - three digits by one digit decimals • Plotting points (first quadrant • Context problems • Fraction of an amount: one part of hours only) • Mental strategies a whole per • Horizontal and vertical lines • Chunking with single digits • 11 times table • Drawing shapes • Division algorithm for single digits week • Using letters to identify co- (dividing into 2 and 3 digits) ordinates • Factors Units of measure (put in spring term) • 7 and 8 tables • Length, mm, cm, m, km 4 Angles and direction • Mass, g, kg, t • Compass directions 7 Money • Capacity, ml, cl, l • Acute, right, obtuse angles • Conversion between pounds/pence • Context problems • Using a protractor to measure cents/euro angles (acute and obtuse only) • Addition/subtraction of money Time (put in spring term) • Using a protractor to draw angles • Multiplication/division of money • Clock, calendars, time calculation (acute and obtuse only) • Money problems • Angles and hands of the clock 8 Fractions Decimals • Fractions as part of whole • Place value and decimals (up to • Improper fractions, proper fractions thousandths) and mixed numbers • Ordering decimals • Lowest common multiples • Adding decimals Number sequences • Ordering fractions • Multiples Measures • 2 to 6 and 10 tables 9 Inequalities and negative numbers • Reading scales • Spotting patterns • Use negative numbers in context • Measuring lines • Writing a sequence given a rule (temperature) • Marking numbers on a scale • Function machines • Simple calculation in context with • Rounding to nearest 1000, whole • Inputs and outputs negative numbers number • Use of the <, > and = symbols 10 Shape Decimals and fractions (put in spring Circles and semi-circles term) • Triangles, quadrilaterals and polygon • Multiplication and division by 10, 4 properties 100,1000 hours • Pentagons and hexagons • Converting decimals to fractions per • Perimeter • Subtracting decimals • Area • Doubling and halving week • Horizontal and vertical lines • Nine and twelve tables • Symmetry and reflection Problem solving skills 11 3-D solids and transformations of 2D Investigation work shapes • Names of standard 3D solids • Euler's formula • lines of symmetry for standard shapes • reflection in horizontal and vertical lines YEAR 5 AUTUMN TERM SPRING TERM SUMMER TERM Place value Fractions • Place value up to millions, 9 Multiples and factors • Finding a fraction of an amount, ordering • Divisibility tests for 2, 5, 10, 4, and 3 one part of whole • Greater than (or equal to), less • Multiples • Finding fraction of an amount, than (or equal to), equal to • Factors, division using factors more than one part of a whole symbols • Primes • Adding fractions • Multiplying by 10, 100, • Subtracting fractions 1000,rounding integers to 10, 10 Transformations 100, 1000 • Describing positive (x,y) translations Perimeter, area and volume using vector notation • Area of rectangle, square Addition/subtraction • Plotting a given translation • Finding lengths given area and one • Addition/subtraction with • Using co-ordinate axes and negative side integers ( 4 cols) translations • Perimeter 4 • Mental strategies • Rotating a line, shape, rotational • Calculations with simple composite • Review of decimals symmetry shapes hours • Addition/subtraction of decimals • Reflection • Area of right triangle per (up to thou) • Know the names of the common 3D 11 Units of measurement shapes week Fractions and simple division • Length, mass, capacity • Volume • Division with integers, one-digit • Reading and marking on scales • Nets and simple surface area • Numerator, denominator and • Imperial units, 12 and 24 hour clock simplest form Algebra • Equivalent fractions 11a Tables • One step number machines • Ordering fractions • Multiplication tables from 1 to 12 • Inverse operations • Simple decimal conversions • Money • Expressing steps using words • Writing a simple formula Multiplication 12 Negative numbers • Simple expressions • Multiplication with integers, one- • Ordering on a number line • Collecting like terms digit • Addition • Evaluating expressions • Mental strategies • Subtraction • Problems using multiplicative • Using brackets Probability arithmetic • Minus a minus • Chance and the probability scale • Multiplying using factors • probability of an event happening 13 Long division Statistics • Division with integers, one-digit Multiplication and division with • Collecting data • Mental strategies decimals • Frequency tables, tally charts • Solving problems using division • Ordering and rounding decimals • Bar charts, pictograms • Long division • Multiplication by 10, 100, 100 (and • Mean, median, mode and range by their multiples) • Line graphs 14 Geometry and shape • Multiplying a decimal by a decimal • Using a calculator • Co-ordinates in the first quadrant • Decimal division with remainder • Parallel, perpendicular and diagonal • Dividing by multiples of 10, 100, lines. 1000 Angles • Equilateral, isosceles, scalene, right- • Dividing by a decimal 4 • Measuring and drawing angles angled, obtuse angled • Division by factors hours • Angles on a line sum to 180, • Square, rectangle, rhombus, angles at a point sum to 360 parallelogram, trapezium, isosceles Fractions, decimals and percentage per • Opposite angles, angles in a trapezium, kite, arrowhead. • Decimals as fractions, tenths, week triangle sum to 180 • Polygons up to decagon hundredths • Points on a compass • Triangle construction with protractor • Writing fractions as decimals • Converting percentages to and Shape and solids from fractions • Identifying congruent shapes. • Converting percentage to and from • Identifying three-dimensional decimals shapes: cube, cuboid, triangular • Converting decimals to fractions prism, tetrahedron, triangular • Finding one quantity as percentage based pyramid, square based of another pyramid, cylinder, cone, sphere. • 25%, 50%, 75% • Counting the number of faces, • Multiples and fractions of 10% vertices and edges of a shape. • VAT • Recognising and making nets. • Percentage problems • Visualising 3D shapes form 2D drawings. Proportion • Drawing 2D representations of • Ratio 3D shapes. • Multiples of a ratio, totals of a ratio 4 Sequences hours per Spotting patterns from shapes • Spotting patterns from a list of week numbers YEAR 6 AUTUMN TERM SPRING TERM SUMMER TERM 1 Place value and ordering 7 Working with fraction 2 Proportion • Integer and decimal place value • fractions of quantities • Equivalence of percentage, fraction • Ordering integers and decimals • Add/subtract fractions with same and and decimal • Rounding decimals and integers different denominators • Converting between three forms • Writing numbers in words and • Solving problems vice versa Measure and measurement • Metric and imperial units for length, Number Patterns 2 Number skills mass and capacity • Multiples • Formal methods of • Reading scales • Arithmetic sequences and finding addition/subtraction • Converting units of time, reading the next term • Formal methods of timetables • One/two stage number machines multiplication/division • Pictorial sequences 4 8 Negative numbers • Use and write down simple 3 Properties of numbers • Number line, ordering and use of < and formulae hours • Divisibility tests > per • Doubling and halving • Four rules with negative numbers Equations and algebra • Factors and multiples • Inverse operations week • Primes • Order of operations • Squares, cubes, roots, triangle 9 Symmetry and transformations • Using letters to represent numbers • Reflection in a given line, rotation unknowns • HCF, LCM about a given point • Evaluating expressions • Order of rotational symmetry for (substitution) 4 Angles and shapes simple shapes • Using brackets - expanding only • Acute, obtuse and reflex angles • Translation by a vector in two • Construct and solve linear • Drawing and measuring angles dimensions equations with one unknown on accurately • Co-ordinates of reflection in horizontal one side • Sum of angles at a point, on a line, and vertical lines • Construct and solve linear in a triangle and quadrilateral equations with one unknown on • Simple geometric problems 10 Long multiplication two sides • Classification of triangles and Long multiplication quadrilaterals Solids and volume 11 Probability • 3D solids and properties, cuboid, • The concept of chance triangular prism 5 Working with decimals • Probability scales from 0 to 1 • Nets • Addition/subtraction of decimals • Calculate probabilities for equally likely • Volume of right prisms • Multiply and divide decimals by a outcomes in simple cases single and double digits • Estimate probabilities based on Co-ordinates and graphs 2 • Know that multiplying and collected data • Equations of vertical and dividing by powers of 10 left and • Compare estimated probabilities with horizontal lines 4 right shift theoretical probabilities • Drawing straight line equations • Solve problems in context • Solving equations hours • Rounding to decimal places and 12 Shape and area per significant figures • Area and perimeter Organising information • Compound shapes • Flow diagrams week 6 Statistics • Area of triangle • Algorithms • Mean, median, mode and spread • Solving problems • Venn diagrams • Tally, bar and pie charts • Names and simple properties of circles • Carroll diagrams • Compare two distributions using averages and spread 13 Long division Co-ordinates and graphs • Calculator skills Long division • Polygons up to decagon • Co-ordinates in all four quadrants 7 Working with fractions 1 • Conversion graphs • Fractions as parts of whole • Distance-time graphs • Fractions as numbers • Scatter graphs • Equivalent fractions • Ordering fractions YEAY 7 AUTUMN TERM SPRING TERM SUMMER TERM Number sequences Proportion (percentage and ratio) Angles and bearings • Generate sequences from practical • Equivalence of fraction, decimal, • Parallel and perpendicular lines contexts percentage • Corresponding, alternate and • Special sequences: squares, cubes, • Percentages and multipliers opposite angles Fibonacci, triangle • Percentage increase/decrease • Draw and measure angles from 0 • Term-to-term rules • Ratio, simplest form, to 360 • Position-to-term rules • Divide a quantity into a given ratio • Proof of angles in triangle sum to • Simple fractal geometry 180 and quadrilateral to 360 Statistics • Compass and bearings • Qualitative and quantitative data • Properties of quarilaterals Straight line graphs 1 • Collecting data, tally charts • Plot points in all four quadrants • Pie charts, bar charts and Negative numbers • Plot graphs of linear equations, where frequency diagrams discrete and 3 • Number line, ordering and use of y is given explicitly in terms of x continuous < and > • Identify and interpret gradient and • Draw inferences from summarised hours • Four rules with negative intercept of lines data per numbers • Line graphs from real-life problems • Range, mean, median and mode, week and plot their graphs including modal class Area and volume currency conversion, temperature • Scatter graphs, line of best fit • Area and perimeter of squares, conversion rectangles and triangles Transformations and symmetry • Area of a trapezium Measures and measurement • Congruent shapes • Nets and surface area • Length, area, volume, capacity, mass , • Perform and describe translations, • Volume of cuboids and prisms time reflections, and rotations • Problem solving • Use units of measurement to solve • Enlarge 2-D shapes with a positive problems in everyday contexts whole-number scale factor. Properties of number • Know rough metric equivalents of • Factors, multiples, primes imperial measures in daily use (feet, Probability • Test for divisibility miles, pounds, pints, gallons) • Language of probability • Factor trees • Speed distance and time • Event spaces and mutually • Squares, cubes, roots, triangle • Distance -time graphs exclusive events numbers • Four rules using decimals • Estimate and compare • Four rules with integers probabilities from experimental Algebra and solving equations Working with fractions data Terms, signs and expressions • Ordering fractions, equivalent fractions Order of operations and algebra • Fractions of quantities Shape and construction (BIDMAS) • Four rules with fractions • Triangle constructions Simplify linear expressions by • Cancelling common factors for • loci 3 collecting like terms multiplication/division Multiply a single term over a hours bracket per Solving linear equations with integer coefficients week Evaluate simple expressions by substitution Use function machines and inverse function machines YEAR 8 AUTUMN TERM SPRING TERM SUMMER TERM Decimals and fractions Statistics Surface area and volume • Place value • Averages and spread • Names and properties of cube, • Multiplication/division by • Positive/ negative correlation in scatter cuboid, tetrahedron , sphere, right powers of 10 graphs, line of best fit. EXT: equation of prism including cylinder • Four rules with decimals, line of best fit • Nets and surface area fractions and integers • Stem and leaf diagrams, box and • Volume of cuboids and prisms • Rounding decimal places and sig whisker diagrams • Problem solving fig • Mean from grouped frequency table • Unit conversions • BIDMAS • Pie charts • Negative numbers Indices • Context problems Straight line graphs • Index notation • Decimal places and significant • Plot graphs of linear, quadratic and • Laws of indices figures cubic equations • Negative indices • Gradient and intercept lines of the 3 Proportion form y = mx + c • Equivalence of fraction, decimal, • Find the equation, mid-point of a given Pythagoras hours percentage including fraction to two points Proof of Pythagoras per decimal conversion and recurring • Parallel and perpendicular lines Finding the length of the decimals • Solving simultaneous equations hypotenuse week • Recurring decimals graphically Finding the length of shorter sides • Increase/decrease amounts by a Solving problems in context percentage Transformations and symmetry • Percentage increase/decrease • Congruent and similar shapes Constructions and loci • Reverse percentage calculations • Perform and describe translations, • Draw angles and lines accurately • Ratio, simplest form, divide a reflections and rotations using co- • Midpoint and perpendicular quantity into a given ratio ordinate axes bisector of a line • Unitary method • Enlarge 2-D shapes with a positive • Perpendicular from a point to a line • Linear conversion whole-number scale factor, from a • Constructing 60, 90, 120 Angles and angle reasoning centre of enlargement • Bisecting an angle • Corresponding, alternate and • Line, area and volume ratios • Determine a locus of points given a opposite angles rule • Compass and bearings Probability • Using scales • Quadrilaterals • Event spaces and mutually exclusive • Ruler compass constructions of events - two way tables, tree diagrams • equilateral triangle and rhombus • Independent events and multiplication • Solve simple geometric problems rule • Sampling without replacement Polygons and angles • Regular and irregular polygons up to dodecagon Properties of number • Interior and exterior angles of • Factors, multiples, primes polygons • Factor trees • Circles • Squares, cubes • Solve multi step geometric • LCM, HCF problems • Uniqueness of prime factorisation 3 hours Algebra Number sequences • Terms, signs and expressions • Special sequences: squares, cubes, per • Order of operations and algebra Fibonacci, triangle week • Simplify linear expressions by • Term-to-term rules, position-to-term collecting like terms rules (linear) • Multiply a single term over a • Term -to term rules (quadratic) bracket • Position to term (quadratic) • Evaluate simple expressions by • Ext : recurrence relations substitution • Expand a product of linear factors • Factorise simple expressions - both letters and numbers • Change the subject of a formula - linear examples only Solving equations • Solving linear equations • Solving simple quadratic equations • Construct and solve equations from context • Direct proportion • Manipulation of equations YEAR 9 AUTUMN TERM SPRING TERM SUMMER TERM Decimals and integers Linear and simultaneous equations Volume • Applying the four rules of • Two operations , unknown on both • Solids and Euler's formula operation with decimals and sides • Volume and surface area of prisms integers (positive and negative) • Equations with brackets • Nets • Using a calculator efficiently • Modelling • Cones • Rounding to nearest whole • Simultaneous equations by elimination • Unit conversions number, one, two or three and substitution decimal places or significant figures Transformations Trigonometry • Converting simple fractions to • Rotations: centre and angle, direction • Opposite, adjacent and hypotenuse decimals including recurring • Reflection on co-ordinate axes • Sine, cosine and tangent ratios decimals • Vectors and translations • Finding side lengths in a triangle 3 • Converting terminating decimals • Enlargements: centre and scale factor • Finding an angle in a triangle to fractions (positive integer and fraction) • Problem solving hours • Combinations of transformations per Properties of number Statistics • Squares and roots, cubes and Fractions and percentage • Averages and spread week cube roots Conversion between fraction and • Frequency tables • BIDMAS percentage • Grouped frequency tables • Factors and primes Four operations with fractions • Cumulative frequency • Prime number trees, HCF, LCM Fraction and percentage of a quantity • Estimating quartiles • Laws of indices Increase/decrease by percentage - • Standard form multipliers Ratio Unitary problems • Simplifying ratio , expressing in Sequences Percentage/fraction problems form 1:n • Term-to-term rules • Ratio and fractions, using the • Position to term rules Pythagoras unitary method • Special sequences: triangle, • Proof of Pythagoras • Solving problems Fibonacci • Finding the length of the hypotenuse, • Direct proportion • Quadratic sequences finding the length of shorter sides • Indirect proportion • Solving problems in context Algebra 1 Inequalities • Simplifying expressions • Open and closed intervals • Substitution - fractions, decimals • Solution of linear inequalities and integers • Rearrange simple expressions Probability • Expanding over a single bracket • Event spaces and mutually exclusive events - two way tables, Algebra 2 tree diagrams • Products of brackets • Independent events and • Factorising linear and quadratic multiplication rule expressions • Sampling without replacement • Difference of two squares • Changing the subject of a formula Quadratic equations • Sketching Construction and geometry • Factorising • Bearings • Quadratic formula • Scale drawing 3 • Five standard constructions Area and perimeter hours • Corresponding, alternate and • Area of rectangles, triangles, per opposite angles parallelograms and trapeziums, • Circles week Angles and polygons • Units conversion Properties of the parallelogram, rectangle, square, rhombus, trapezium and kite • Polygons nomenclature • Interior and exterior angles • Sum of exterior angles • Solve multi-step geometric problems Graphs and co-ordinates • Plot graphs of linear, linear and quadratic equations • gradient and intercept lines of the form y = mx + c • Find the equation, mid-point of a given two points • Parallel and perpendicular lines • Solving simultaneous equations graphically • Find the equation of a line given two points on the line

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posted: | 9/14/2012 |

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