# Schemeoutline3to9web

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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
• 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
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
• 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
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
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
• 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
• 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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