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Meadowdale Academy
Mastery Maths Curriculum
Our Intention
We believe every child can succeed in maths.

These plans are based on the Schemes of Work from White Rose and PD
Materials form NCETM and cover all National Curriculum Objectives.

We use the concrete, pictorial, abstract approach, allowing pupils plenty
of time with objects and manipulatives to build their understanding of a
concept, looking at the why and how initially. Building to pictorial
representations to aid pupils’ reasoning and problems solving before
moving onto the abstract methods or more complex calculations.

These plans set out the small sequential steps necessary for a deep and
lasting understanding. These steps are taken at the necessary pace of the
class, teachers will use their judgement and only move on when they are
confident the majority of pupils have grasped the small step. We believe
these small steps will avoid cognitive overload and help us to cover the
depth necessary for a greater understanding - depth before breadth so we can learn more and remember more.

The Medium Term plans also show the connections or links between topics, that are necessary for understanding and building on key skills
that are essential for fluency, reasoning and problem solving. We encourage pupils to ask, ‘What do I know already?’ before tackling any
problem and look for efficient methods of calculations, as well as, being able to check their own work and prove their thinking.

Fluency, reasoning and problem solving should be an integrated part of every lesson. Allowing plenty of time for children to talk and explain
their thinking.

Pupils need to be aware that the journey in maths in the most important, the process and strategies used to solve a problem, drawing on
known facts. It is not always essential to find a solution or, on occasions, many solutions may be possible.
Implementation

                                              Long Term Forecast 2020 – 2021
Pupils will be taught to:
The national curriculum for mathematics aims to ensure that all pupils: National Curriculum Mathematics
    become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so
       that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately.
    reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or
       proof using mathematical language
    can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking
       down problems into a series of simpler steps and persevering in seeking solutions.

Key stage 1 – Years 1 and 2
The principal focus of mathematics teaching in key stage 1 is to ensure that pupils develop confidence and mental fluency with whole numbers, counting and
place value. This should involve working with numerals, words and the four operations, including with practical resources [for example, concrete objects and
measuring tools].

At this stage, pupils should develop their ability to recognise, describe, draw, compare and sort different shapes and use the related vocabulary. Teaching
should also involve using a range of measures to describe and compare different quantities such as length, mass, capacity/volume, time and money.

By the end of year 2, pupils should know the number bonds to 20 and be precise in using and understanding place value. An emphasis on practice at this
early stage will aid fluency.

Pupils should read and spell mathematical vocabulary, at a level consistent with their increasing word reading and spelling knowledge at key stage 1.

White Rose Long Term Planning
NCETM Mastery Professional Development Primary Materials

     Identifies Ready-to-progress criteria from DfE Mathematics guidance: key stages 1 and 2 Here
Year                      Autumn 2020                                                 Spring 2021                                           Summer 2021
       Number: Place Value (within 10)                             Consolidation                                        Consolidation
       Week 1-4                                                    Week 1                                               Week 1
              Sort, represent and count objects – cardinal
                                                                   Number: Addition and Subtraction (within 20)         Number: Multiplication & Division (Reinforce
              One more and one less                               Week 2-4                                             multiple of 2, 5, & 10)
                                                                    Add by counting on – Augmentation                  Week 2-4
             Compare and order groups, objects and numbers
                                                                           Number bonds to 20                                Count in 10s
       Number: Addition and Subtraction (within 10)                                                                        Make doubles
       Week 5-9                                                            Subtraction, not crossing 10 and crossing
                                                                       10                                                     Make equal groups – grouping, then sharing
              Number bonds with 10 and to 10
                                                                           Related facts
                                                                                                                        Number: Fractions
                       Adding together and adding more
                                                                                                                        Week 5-6
                                                                   Number: Place Value (within 50) – introduce
                       Subtracting finding parts, counting back                                                         Find a half
                                                                   multiples of 2, 5, & 10
           and finding the difference                                                                                    Find a quarter
                                                                   Week 5-7
                  Fact families and comparing addition and                Numbers to 50, including Tens and Ones      Geometry: Position & Direction
           subtraction                                                                                                  Week 7
                                                                         One more, One less
       Geometry: Shape                                                Compare & Order numbers and objects                    Describe turns
 1     Week 10
                                                                           Count in 2s & 5s                                  Describe position
              Recognising, naming and sorting 3-D shapes
                                                                   Measurement: Length & Height                         Number: Place Value (within 100)
              Recognising, naming and sorting 2-D shapes
                                                                   Week 8-9                                             Week 8-9
              Patterns with 3-D and 2-D shapes                            Compare length and height                         Counting to 100 & positioning numbers
                                                                           Measure length and height                      Comparing & ordering numbers
       Number: Place Value (within 20)
       Week 11-12
                                                                           Add and Subtract lengths                          One more, one less
              Numbers from 11-20
                                                                   Measure Weight & Volume                              Measurement: Money
              Tens and Ones                                       Week 10-11                                           Week 10
                                                                    Introduce weight and mass                           Recognise coins
              One more, One less
                                                                    Measure and compare mass                            Recognise notes
             Compare & Order objects and numbers                   Introduce capacity and volume                            Count coins
                                                                    Measure & Compare capacity
       Consolidation
       Week 13                                                                                                          Measurement: Time
                                                                   Consolidation                                        Week 11-12
                                                                   Week 12                                               Before & after, including dates
                                                                                                                         Time to the hour & half hour
                                                                                                                         Writing & comparing time
Number: Place Value                                           Number: Multiplication and Division            Measurement: Length and Height
       Week 1-4                                                      Week 1-4                                       Week 1-2
                                                                                                                     Measure length
                  Count, represent, read, write compare &                      Recognise & make equal groups –
                                                                                                                     Compare & order length
           order numbers to 20, 50, then 100                             sharing & grouping
                                                                                                                                    Four operations with length
              Tens and ones with part-whole, addition & PV                 Multiplication sentences, 2, 5 & 10
           chart, within 50, then 100                                    times-table
                                                                                                                    Geometry: Position and Direction
              Count 2s, 5s, 10s and 3s                                     Odd and even Numbers                   Week 3-4
                                                                                                                     Describe position
                                                                            Divide by 2, 5 and 10                   Describe Movement
       Number: Addition and Subtraction
       Week 5-9                                                                                                      Describe turns
                                                                     Statistics                                      Making patterns with shapes
                      Number bonds to 20, including                 Week 5-6
           comparing, then to 100 (tens and ones)                     Make tally charts                            Problem solving and efficient methods
                          Add and subtract, 1s, 10s, 1-digit & 2-              Draw & interpret pictograms        Week 5-6
           digit numbers                                                                                             Consolidate any necessary learning to date
                                                                                Block diagrams                      Investigate open ended questions, build
   2            Add three 1-digit numbers                                                                             resilience and maths confidence
Recap                                                                Geometry: Property of Shape
in red Measurement: Money                                            Week 5-6                                       Measurement: Time
       Week 10-11                                                                                                   Week 7-8
        Recognise, count & select money – pence, pounds,                  Recognise, describe & draw 2-D shapes    Telling the time to the hour & half hour
          notes and coins                                                                                            O’clock, half past, quarter past & quarter to
                                                                           Lines of Symmetry
                          Find the total, difference & change                                                       Telling time to 5 minutes
                                                                           Recognise & describe 3-D shapes
                          Two-step problems                                                                              Find & compare durations of time, including
                                                                     Number: Fractions                                  hours & days
       Number: Multiplication and Division                           Week 9-12
                                                                                                                    Measurement: Mass, Capacity and Temperature
       Week 12                                                        Make equal parts
                                                                                                                    Weeks 9-11
                                                                      Find & recognise a half, quarter & third
                   Recognise and make equal groups, including                                                       Compare mass & measure in grams & kilograms
                                                                      Unit & non-unit fractions, including
           redistributing to unequal groups                                                                          Compare volume & measure in millilitres &
                                                                        equivalence
                                                                                                                       litres
             Add equal groups                                                                                       Temperature
          Make arrays
                                                                                                                    Consolidation
       Consolidation                                                                                                Week 12
       Week 13
Lower key stage 2 – Years 3 and 4
       The principal focus of mathematics teaching in lower key stage 2 is to ensure that pupils become increasingly fluent with whole numbers and the four
       operations, including number facts and the concept of place value. This should ensure that pupils develop efficient written and mental methods and
       perform calculations accurately with increasingly large whole numbers.

       At this stage, pupils should develop their ability to solve a range of problems, including with simple fractions and decimal place value. Teaching should also
       ensure that pupils draw with increasing accuracy and develop mathematical reasoning so they can analyse shapes and their properties, and confidently
       describe the relationships between them. It should ensure that they can use measuring instruments with accuracy and make connections between measure
       and number.

       By the end of year 4, pupils should have memorised their multiplication tables up to and including the 12 multiplication table and show precision and
       fluency in their work.

       Pupils should read and spell mathematical vocabulary correctly and confidently, using their growing word reading knowledge and their knowledge of
       spelling.

Year                       Autumn 2020                                             Spring 2021                                         Summer 2021
         Number: Place Value                                      Number: Multiplication and Division                  Number: Fractions
         Week 1-3                                                 Week 1-3                                             Week 1-3

                       Represent numbers to 100                              2, 4 & 8 times-tables                           Unit and non-unit fractions

                           Tens & Ones using addition                        Related calculations                            Counting in tenths & tenths as decimals

                        100s, 10s and 1s, including finds 1,            Multiply & Divide 2-digits by 1-digit                Fractions of a set of objects
             10 or 100 more or less
                                                                         Scaling                                              Equivalent fractions
                       Represent, compare & order numbers
                                                                                                                               Compare & order fractions
             to 1,000                                             Measure: Money
   3
Recap                                                            Week 4                                                       Add and subtract fractions
              Count in 50s
in red                                                                   Count money in pence & pounds                Measure: Time
       Number Addition and Subtraction
                                                                         Convert pounds and pence                     Week 4-6
       Week 4-8
                                                                                                                        O’clock, half past, quarter past & quarter to
                       Add and subtract 1 & 2-digit numbers             Add and Subtract money
                                                                                                                              Months, years, hours and telling the time
                Add and Subtract up to 3-digit numbers                  Give change                                     Finding and comparing durations
            Spot the pattern                                                                                             Measuring time in seconds
                                                                  Statistics
                 Estimate and check answers to calculations      Week 5-6                                             Geometry: Properties of Shape – week 7-8
                                                                   Make tally charts
         Number: Multiplication and Division                       Pictograms                                                 Turns, angles including right-angles
Week 9-12                                               Bar Charts
                                                                 Tables                                                     Parallel and perpendicular
                Multiplication – equal groups
                                                                                                                             Recognise & describe 2-D & 3-D
                Multiply and Divide by 2, 5 & 10             Measure: Length and Perimeter                          shapes
            Multiply and Divide by 3, 4 & 8                  Week 7-9

                                                                     Measure & Compare lengths                  Geometry: Properties of Shape
                The 3, 4 & 8 times table                                                                        Week 7-8
                                                                     Add & Subtract lengths
         Consolidation                                                                                                  Right angles & comparing angles
         Week 13                                                     Measure & Calculate perimeter
                                                                                                                        Measure accurately (straight lines)
                                                              Number: Fractions
                                                              Week 10-11                                                   Horizontal, vertical, Parallel &
                                                                                                                     perpendicular
                                                                         Making equal parts
                                                                                                                            Recognise, describe & make 2-D & 3-
                                                                         Recognise a half, a quarter and a          D shapes
                                                                  third
                                                                                                                 Measure: Mass and Capacity
                                                                         Unit and non-unit fractions            Week 9-11
                                                                     Beginning equivalence                       Measure & compare mass
                                                                                                                  Measure & compare capacity
                                                              Consolidation                                            Add and subtract mass & capacity
                                                              Week 12                                               Compare volume

                                                                                                                        Temperature

                                                                                                                 Consolidation
                                                                                                                 Week 12
         Number: Place Value                                  Number: Multiplication and Division                Number: Decimals
         Week 1-4                                             Week 1- 3                                          Week 1-2
                                                                                                                  Bonds to 10 and 100
                    Represent numbers to 1,000                          11 and 12 times table                   Make a whole & write decimals
                                                                                                                 Compare, order and round decimals
                         Count in 1,000s, 100s, 10s and 1s               Multiply 3 different numbers, Factor
   4                                                              pairs                                           Halves and Quarters
Recap               Round to the nearest 10, 100 and 1000
in red                                                               Multiply and divide 2-digits by 1-digit    Measurement: Money
                    Negative numbers                                                                            Week 3-4
                                                                     Multiply and divide 3-digits by 1-digit
                                                                                                                  Ordering & Estimating money
                    Roman Numerals                                                                               Convert pounds and pence
                                                                     Correspondence problems
                                                                                                                  Add & subtract money, including finding
         Number: Addition and Subtraction                                                                           change
                                                              Measurement: Area
         Week 5-7
   Add and subtract 1s, 10s, 100s and 1000s          Week 4                                                   Four operations and money
      Add and subtract two 3-digit numbers               What is area and counting squares
      Add and subtract two 4-digit numbers               Making shapes                                       Measurement: Time
      Estimate and check answers                         Comparing area                                      Week 5-6
                                                                                                                Telling the time to 5 & 1 minute
Measurement: Length and Perimeter                        Number: Fractions                                      Using a.m, p.m. & the 24-hour clock
Week 8-9                                                 Week 5-8                                               Hours, minutes, seconds, years, months,
    Equivalent lengths, m, cm & mm                                                                               weeks & days
                                                                Unit and non-unit fractions
    Add and subtract lengths                                                                                   Analogue to digital time, 12 & 24 hour
    Kilometres                                                 Tenths
                                                                                                               Statistics
           Perimeter on a grid                                 Equivalent fractions
                                                                                                               Week 7
                                                                Fractions greater than one
          Perimeter of rectangles and rectilinear                                                                     Interpret charts
       shapes                                                  Add and subtract fraction within one
                                                                                                                       Comparison, sum & difference
                                                             whole
Number: Multiplication and Division                                                                                    Introducing line graphs
Week 10-12                                                      Add and subtract fraction bridging one
                                                             whole
                                                                                                               Geometry: Properties of Shape
           Multiply and divide by 10 and 100               Calculate fractions of sets, objects & quantity
                                                                                                               Week 8-9
                Multiply by 1 and 0, divide by 1 and
                                                         Number: Decimals                                             Right-angles & comparing angles
       itself
                                                         Week 9-10
                                                                                                                      Identify, compare & order angles
                Multiply and divide by 3                 Recognise tenths and hundredths
                                                          Show tenths and hundredths as decimals, in a               Recognise & describe 2-D shapes
                Times table and division facts for 6,      place value chart & on a number line
       9 and 7                                            Divide 1 and 2-digits by 10 and 100                        Triangles and Quadrilaterals
                                                                                                                      Symmetry, Lines of symmetry
Consolidation                                            Consolidation
Week 13                                                  Week 11                                               Geometry: Position and Direction
                                                                                                               Week 10-11
                                                         Activity Week                                                Describe position
                                                         Week 12
                                                                                                                      Draw and move on a grid
                                                                                                                      Describe movement on a grid

                                                                                                               Consolidation
                                                                                                               Week 12
Upper key stage 2 – Years 5 and 6
       The principal focus of mathematics teaching in upper key stage 2 is to ensure that pupils extend their understanding of the number system and place value
       to include larger integers. This should develop the connections that pupils make between multiplication and division with fractions, decimals, percentages
       and ratio.

       At this stage, pupils should develop their ability to solve a wider range of problems, including increasingly complex properties of numbers and arithmetic,
       and problems demanding efficient written and mental methods of calculation. With this foundation in arithmetic, pupils are introduced to the language of
       algebra as a means for solving a variety of problems. Teaching in geometry and measures should consolidate and extend knowledge developed in number.
       Teaching should also ensure that pupils classify shapes with increasingly complex geometric properties and that they learn the vocabulary they need to
       describe them.

       By the end of year 6, pupils should be fluent in written methods for all four operations, including long multiplication and division, and in working with
       fractions, decimals and percentages.

       Pupils should read, spell and pronounce mathematical vocabulary correctly.

Year                      Autumn 2020                                              Spring 2021                                              Summer 2021
        Number: Place Value                                      Number: Multiplication and Division                     Consolidation
        Week 1-3                                                 Week 1-3                                                Week 1
               Numbers to 1,000                                        Multiplying up to 4-digits by 1 digit           Number: Decimals
               Numbers to one million                                  Multiplying 2, 3 and 4-digits by 2-digits       Week 2-4
                                                                                                                          Add and subtract decimals within 1
                Round to nearest 10, 100 up to nearest                 Dividing up to 3-digits by 1 digit               Add and subtract decimals with the same and
            million
                                                                                                                            different number of decimal places
                                                                        Dividing 4-digits by 1 digit
               Negative numbers & Roman numerals                                                                         Add and subtract wholes and decimals
                                                                        Divide with remainders                           Decimals sequences
   5   Number Addition and Subtraction
Recap Week 4-5                                                                                                                  Multiply and divide decimals by 10, 100
in red  Add & subtract two 4-digit numbers                      Number: Fractions                                           and 1,000
        Add and subtract numbers with more then 4-              Week 4-9
                                                                  Unit and non-unit fractions                           Geometry: Properties of Shape
          digits
                                                                                                                         Week 5-7
        Round to estimate & approximate and inverse
                                                                         Equivalent fractions, compare and order
                                                                     fractions                                                   Identify and compare angles
        Measurement: Perimeter
        Week 6 *Please note this is a different order to WR             Improper fractions and mixed numbers                    Measure and draw angles accurately
         Measure perimeter
                                                                        Number sequences                                       Calculate angles on a straight line and
         Perimeter of rectangles and rectilinear shapes                                                                     around a point
         Calculate perimeter                                       Add and subtractions with the same
                                                                     denominators and different denominators                Triangles and Quadrilaterals
Statistics                                                Multiply fractions and mixed numbers by an      Regular and irregular shapes
Week 7-8                                                   integer                                         3-D shapes
 Interpret tables, charts and graphs
                                                             Calculated fractions of quantities and    Geometry: Position and Direction
       Read and interpret line graphs                     amounts                                      Week 8-9
      Draw and use line graphs                                                                          Describe position and draw on a grid
                                                       Number: Decimals and Percentage
   Two-way tables and timetables                                                                        Translation with coordinates
                                                       Week 10-11
                                                                                                         Lines of symmetry
Number Multiplication and Division                                Decimals up to 2 d.p.                 Reflection with coordinates
Week 9-11
                                                              Rounding, order and compare decimals     Measurement: Converting Units
       Multiples, Factors and Primes                     Percentages                                  Week 10-11
       Square and Cube numbers                               Equivalent fractions, decimals and              Kilometres, Kilograms, Millimetres
                                                           percentages
       Multiply and divide by 10, 100 and 1,000                                                               Metric units
                                                       Consolidation
       Efficient methods of multiplication                                                                    Imperial units
                                                       Week 12
Measurement: Area                                                                                              Converting units of time and timetables
Week 12 *Please note this is a different order to WR

       Counting squares                                                                                Measurement: Volume
                                                                                                        Week 12
       Area of rectangles and compound shapes                                                           Volume and compare volume
       Area of irregular shapes                                                                         Estimate volume
                                                                                                         Estimate capacity
Consolidation
Week 13
Number: Place Value                                  Number Fractions – continued from Autumn           Geometry: Properties of Shape
        Week 1-2                                             Week 1                                             Week 1-3
                                                              Multiply unit fraction & non-unit fractions by    Describe angles in degrees
                     Represent compare & order numbers         integers
            to 1 million                                      Multiply fraction by fractions                          Measure and draw lines & angles
                Represent, compare & order numbers to 10     Divide fraction by integers
                                                                                                                       Angles on a straight line & around a point
            million                                           Four rules with fractions
                                                              Fractions of an amount and find the whole               Vertically opposite angles
               Round any number
                                                             Number: Decimals                                          Angles in a triangle, special quadrilateral
               Negative numbers in context
                                                             Week 2-3                                               & regular polygons
        Number: Addition and Subtraction                            Decimals up to 2 d.p.                             Draw shapes accurately
        Week 3-4 *Please note this is a different order to
        WR                                                          Understanding thousandths & Three                 Draw nets for 3-D shapes
         Add & subtract whole numbers with more than            decimal places
           4-digits                                                                                             Consolidation & SATs Preparation
         Inverse operations                                        Multiply & divide decimals by 10, 100 &    Weeks 4-5
                                                                 1,000
               Related facts using compensation                Multiply & divide decimals by integers         Consolidation, Investigations & Preparation for
   6
            properties                                          Decimals as fractions & fraction to decimals   KS3
           Multi-step problems and efficient methods                                                           Week 6-12
Recap
in red                                                       Number Percentage
       Measurement: Perimeter                                Week 4-5
       Week 5 *Please note this is a different order to WR    Understand percentage
        Perimeter on a grid & of a rectangle                 Equivalent & order fractions, decimals and
        Perimeter of rectilinear shapes                        percentages
        Calculate perimeter                                  Percentage of amounts
                                                              Percentage missing values
        Number Multiplication and Division
        Week 6-8 *Please note this is a different order to   Number: Algebra
        WR                                                   Week 6-7
         Multiply by 1-digit, up to 3-digits by 2-digits     Find a rule, one & two-steps
         Multiply 4-digit 2-digits                           Forming expressions
         Divide 4-digits by 1-digit, including remainders    Substitution
         Short division by 2-digits                          Formulae & forming equations
         Division using factors                              Solve one & two-step equations
         Long division
         Factors, Common factors, Primes to 100, Square            Find pairs of values
           and Cube numbers
         Order of Operations                                Measurement: Converting Units
                                                             Week 8
                Mental calculations &      reasoning from    Convert & calculate with metric measures
known facts                                          Miles & kilometres
                                                         Imperial measures
Measurement: Area and Volume
Week 9 *Please note this is a different order to WR   Number: Ratio
                                                      Week 9-10
       Area of rectangles
                                                              Ration & fractions and introducing the
       Area of triangles                                 ration symbol
       Area of parallelogram
                                                                   Calculating ratio
   Volumes counting cubes and of a cuboid
                                                              Using & calculating scale factor
Number Fractions
Week 10-13 & Spring week 1                                         Ration & proportion problems
 Unit and non-unit fraction
                                                      Statistics
        Equivalent fractions and simplifying         Week 11
    fractions                                          Read, interpret & draw line graphs
       Improper fraction and mixed numbers            Circles
                                                       Read, interpret & draw pie charts
           Compare and order fractions                The mean
   Add and subtract fractions, including mixed
    numbers                                           Geometry: Positions and Direction
                                                      Week 12 *Please note this is a different order to
                                                      WR
                                                       The first quadrant
                                                       Four quadrants
                                                       Translations
                                                       Reflections
Key stage 2 – Years 7 and 8
       KS3 National Curriculum Mathematics
       Mathematics is a creative and highly inter-connected discipline that has been developed over centuries, providing the solution to some of history’s most
       intriguing problems. It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of
       employment. A high-quality mathematics education therefore provides a foundation for understanding the world, the ability to reason mathematically, an
       appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject.

       Mathematics is an interconnected subject in which pupils need to be able to move fluently between representations of mathematical ideas. The
       programme of study for key stage 3 is organised into apparently distinct domains, but pupils should build on key stage 2 and connections across
       mathematical ideas to develop fluency, mathematical reasoning and competence in solving increasingly sophisticated problems. They should also apply
       their mathematical knowledge in science, geography, computing and other subjects.

       Decisions about progression should be based on the security of pupils’ understanding and their readiness to progress to the next stage. Pupils who grasp
       concepts rapidly should be challenged through being offered rich and sophisticated problems before any acceleration through new content in preparation
       for key stage 4. Those who are not sufficiently fluent should consolidate their understanding, including through additional practice, before moving on.

            Higher Strand challenge

Year                        Autumn 2020                                             Spring 2021                                           Summer 2021
       Place Value & Ordering                                    Addition & Subtraction                                  Constructing, Measuring & Using Geometric
       *Please note this is a different order to WR              Week 1-2                                                Notation
       Week 1-3                                                   Mental strategies for addition & subtraction          Week 1-3
        Recognise the place value of any whole number            Formal methods for whole and decimal                   Draw & measure line segments including
           or decimal up to one billion & write in words and        numbers                                                 geometric figures
           figures                                                Choose the most appropriate methods                    Classify, measure and draw angles
        Work out intervals and place integers on a               Perimeter                                              Identify perpendicular and parallel
           number line                                            Solve problems involving Finance, timetables,          Recognise types of triangle, quadrilateral and
   7    Round integers to the nearest power of 10 & to             frequency trees and graphs                              polygons up to decagon
Recap      1 significant figure                                                                                           Construct triangles and complex polygons
in red  Compare and order integers, using =, ≠, , ≤, ≥                Add and subtract number given in standard     Interpret and draw simple pie charts
        Find the range & medium                                     form
                                                                                                                         Developing Geometric Reasoning
                Write 10, 100, 1,000 etc. As powers of 10       Multiplication & Division                               Week 4-6
                                                                 Week 3-5                                                 Understand and use the sum of angles at a
               Write whole number and decimals in the            Understand and use factors & multiples                   point, angles on a straight line and use
            form A x 10n                                          Multiply & divide integers & decimals by powers          vertically opposite angles
                                                                    of 10                                                 Know and apply sum of angles in a triangles
                Investigate negative powers
Sequencing                                                                                                       and quadrilateral
Week 4-6                                                     Multiply by 0.1 and 0.01                          Solve complex angle problems
 Describe & continue a sequence                        Convert between metric units
 Represent a sequence in tabular and graphical         Formal methods for whole and decimals                          Find and use angle sum of any polygon
   forms                                                 numbers
 Recognise the difference between linear & non-        Understand and use order of operations                         Understand and use parallel line angles
   linear sequences                                     Area of rectangles, parallelograms, triangles and       rules
 Explain the term to term rule
                                                              trapeziums                                                Use known facts to obtain simple proofs
       Find missing numbers within sequences           Solve problems using the mean
                                                                                                             Developing Number Sense
Algebraic Notation                                           explore multiplication & division in           Week 7-8
Week 7-9                                                 algebraic expressions                                Know and use mental arithmetic strategies for
 Find input and outputs for a single & two-step                                                                integers, decimal and fractions
    function machines                                Fraction & Percentages of Amounts                        Use factors to simplify calculations
 Use diagrams & letters to with single & two-step   Week 6                                                   Use estimation to check mental calculations
    function machines                                 Find fraction & percentage of a given amount           Use known facts to derive others facts
 Substitute values into one & two-step               Use a given fraction to find the whole and/or          Use known algebraic facts to derive other facts
    expressions                                          other fractions                                      Know when to use a mental strategy, formal
 Generate sequences given an algebraic rule                                                                    written method or a calculator
 Represent one & two-step functions graphically            Solve problems with fraction and
                                                         percentages greater than 1 and 100%                 Sets & Probability
Equality and Equivalence                                                                                     Week 9-10
Week 10-11                                           Direct Number                                            Identify and represent sets
 Understand & use fact families, numerically &
                                                     Week 7-9                                                 Interpret and create Venn diagrams
   algebraically                                      Order, add, subtract, multiply and divide direct       Understand and use the intersection & union
                                                         numbers (whole or decimal, positive or                  of sets
 Solve one-step linear equations with all four
                                                         negative)
   operations
                                                      Use a calculator                                               Understand and use the complement of
 Understand and use terminology of equality,
   equivalence, like & unlike terms                   Use direct numbers in algebraic equations,                sets
 Simplify algebraic equations by collecting like
                                                         including two-step equations                           Know and use vocabulary of probability
   terms                                              Use order of operations                                  Generate sample space & calculate probability
                                                                                                                 of a single event
                                                             Roots of positive numbers                         Understand and use the probability scale,
Fractions, Percentages & Decimals
Week 12-13                                                                                                       knowing the sum of probabilities of all possible
                                                             Explore higher powers and roots                    outcomes is 1
 Represent tenths & hundredths as diagrams &
    on a number line                                 Addition & Subtraction of Fractions
 Convert between fractions, decimals and                                                                    Prime Numbers and Proof
                                                     Week 10-12                                              Week 11-12
    percentages                                       Understand representation of fractions &
 Use & interpret Pie charts                                                                                  Recognise and identify multiples, factors,
                                                        convert between mixed number and fractions               prime numbers, square & triangle numbers
 Identify & use simple equivalent fractions          Add and subtract fractions, improper fractions         Find common factors & multiples (HCF & LCM)
                                                        and mixed numbers
   Understand and use equivalent fractions              Write a number as a product of its prime
       Explore fraction above one as decimals and      Use fractions in algebraic context                    factors
    percentages                                         Add and subtract decimals and fractions
                                                                                                                  Use a Venn diagram to calculate HCF &
                                                            Add and subtract simple algebraic fractions       LCM
                                                                                                              Make, test & disprove conjectures
Impact
Assessment strategies are used daily and are ongoing. Teachers as constantly assessing, through their questioning, discussions and book looks.
This informs necessary planning, interventions, pre teaching or groupings for future lessons.

We try to complete regular low-stakes quizzes to aid retrieval of current and known facts. Little and often.

Pre Learning Checks are used to assess what pupils know already, to aid planning the sequential steps to follow and set individual targets.

Post Leaning Checks are used to assess retention, check targets and inform planning for future steps.

More formal assessments are used termly to monitor progress and inform planning.

Resources
NCETM National Curriculum Resource Tool – every Topic, every Year Group Curriculum Explained, Links & Resources (Making connections,
Articles, Activities, Exemplification & Videos) Here

NCETM Video presentation by Debbi Morgan CBE (Director of Primary) explaining the Mastery approach: Here

NCETM Example Lessons Videos: Here

NCETM Progression Maps – for each topic, see where it is taught throughout Y1-6: Here

NCETM Progression Maps Reasoning – for each topic, see where it is taught throughout Y1-6 with reasoning suggestions: See Planning File

NCETM Calculation Guide. This is very detailed, our Calculation Policy was reduced to 4 pages to make it manageable for parents Here

NCETM Primary Assessment Materials – a written guide giving example questions and an idea of the expectation for each year group: Here

2018 KS1 Mathematics Exemplification – demonstration of work to the expected standard: Here

2016 KS2 Mathematics Exemplification - demonstration of work to the expected standard: Here

Free videos (RebeccaTheMathsLady) explaining how to teach primary maths: Here

Third Space Learning guide to teaching mental maths strategies: Here
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