Mathletics and the England National Curriculum 2014
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Primary National Curriculum for England Mathletics and the Primary England National Curriculum 2014 This alignment document lists all Mathletics curriculum activities, eBooks and Live Mathletics levels associated with each ‘England 2014 NC’ course, and demonstrates how these fit within the Early Years Foundation Stage and the England National Curriculum programmes of study. As new activities are developed, this document will be updated. You can download the latest version from the training and support portal: www.3plearning.com/training Contents Content Page Framework and Curriculum Overview 1 Progression and Attainment with Mathletics 3 Reception 4 Year 1 5 Year 2 8 Year 3 13 Year 4 19 Year 5 25 Year 6 32 KS1 Performance Descriptors 39 KS2 Performance Descriptors 43
Primary National Curriculum for England The Early Years Foundation Stage Overarching principles: “Every child is a unique child, who is constantly learning and can be resilient, capable, confident and self-assured. Children learning to be strong and independent through positive relationships. Children learn and develop well in enabling environments, in which their experiences respond to their individual needs and there is a strong partnership between practitioners and parents and/or carers. Children develop and learn in different ways and at different rates. The framework covers the education and care of all children in early years provision, including children with special educational needs and disabilities.” Mathletics provides a nurturing, secure and fun learning environment for children to embark on mathematics learning. Children explore Mathletics activities and games at their own pace, gaining recognition for their achievements as they progress. For guides, training and support visit www.3plearning.com/training 1
Primary National Curriculum for England The Primary Curriculum The national curriculum for mathematics aims to ensure that all pupils: “Become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that all pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately.” Curriculum activities and Live Mathletics develop fluency in recalling and applying mathematical knowledge through practice with increasingly harder activities. The student support centre and features such as the concept search help to develop conceptual understanding through interactive explanations and walk-throughs. “Reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language.” Reasoning activities are provided through Mathletics curriculum activities and eBooks which encourage children to explore relationships and develop arguments and justifications. “Can solve problems by applying their mathematics to a variety of routine and onon-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions.” Pupils develop problem-solving skills and demonstrate depth of mathematical knowledge through problem-solving activities and games in curriculum activities, eBooks and the ‘Problem- solving Centre’. For guides, training and support visit www.3plearning.com/training 2
Primary National Curriculum for England Progression and Attainment We have created a reference framework for attainment and progress based on the National Curriculum for England and the Test Assessment Framework. A document showing the progression across the Mathletics curriculum framework for key stages 1 and 2 can be found here. This framework is linked to Mathletics performance descriptors which aim to describe the typical characteristics of children whose test performance is at the threshold of the expected standard for that key stage. The performance descriptor only reflects the elements of the programme of study that can be assessed in a written test. These have been developed using guidance from the Standards & Testing Agency. You’ll find references to Mathletics performance descriptors in the curriculum reports associated with Mathletics Assessments. View progression across the curriculum framework for key stages 1 and 2 here. View Mathletics performance descriptors for keys stages 1 and 2 here. For guides, training and support visit www.3plearning.com/training 3
Primary National Curriculum for England Reception The Early Years Foundation Stage statutory framework states: “Mathematics involves providing children with opportunities to develop and improve their skills in counting, understanding and using numbers, calculating simple addition and subtract problems; and to describe shapes, spaces and measures.” Expectation Activities & Live Mathletics eBooks Number Numbers to 30: Numbers to 30: ELGNu1 Children count reliably Concept of zero More or Less? with numbers from 1 to 20, place YR Numbers & Patterns: Count to 5 Order Numbers to 10 them in order and say which Numbers to 10 How Many? Order Numbers to 20 number is one more or one less Numbers to 20 How many dots? Time, Money and Data: than a given number. Matching Numbers to 10 Who has the goods? Operations with Number: ELGNu2 Using quantities and Operations with Number: Model Subtraction YR Operations with objects, they add and subtract two Adding to 5 Subtracting from 5 Number: single-digit numbers and count on Adding to Ten Subtracting from Ten Addition & Subtraction or back to find the answer. Model Addition Live Mathletics L1 YR Operations with Number: Addition & ELGNu3 They solve problems, Operations with Number: Subtraction including doubling, halving and Share the Treasure Grouping & Sharing sharing. YR Numbers & Patterns: Number Relationships Space, Shape & Measure Measurement: Balancing Act YR Measurement: ELGSSM1 Children use everyday Comparing Length Time, Money & Data: Length language to talk about size, weight, Everyday Length Days of the Week Mass capacity, position, distance, time Everyday Mass Who has the Goods? Volume & Capacity and money to compare quantities Filling Fast! Same and Different YR Time, Money & Data: and objects and to solve problems. Hot or Cold? Sort It Time, Money How Full? Which holds more? Patterns: ELGSSM2 They recognise, create Colour Patterns YR Numbers & Patterns: and describe patterns. Complete the Pattern Patterns & Rules Missing it! Patterns: ELGSSM3 They explore Collect Simple Shapes YR Space & Shape: characteristics of everyday objects Collect the Shapes Space & Shape: 2D Shape and shapes and use mathematical Match the Object Simple Patterns 3D Shape language to describe them. Where is it? Position For guides, training and support visit www.3plearning.com/training 4
Primary National Curriculum for England KS1: Years 1 & 2 The national curriculum states: “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].” Year 1 Expectation Activities & Live Mathletics eBooks Number: Place Value 1N1a Count to and across Numbers to 100: Numbers to 50: Y1 Numbers: 100, forwards and Before, After and Between to 100 Before, After and Between to 20 Numbers to 20 backwards, beginning with 0 Going Down Counting Backwards Numbers to 50 or 1, or from any given Going Up Counting Forwards Numbers to 100 number. Number Lines Y1 Numbers: Grouping & Sharing: Number & Fractions: Numbers to 20 1N1b Count in multiples of Groups of Five Counting by Fives Numbers to 50 twos, fives and tens. Groups of Ten Counting by Tens Numbers to 100 Groups of Two Counting by Twos Skip Counting Numbers to 50: Y1 Numbers: Numbers to 100: 1N2a Count, read and write 1 to 30 Numbers to 20 Before, After and Between to 100 numbers to 100 in Before, After and Between to 20 Numbers to 50 Going Down numerals. Counting Backwards Numbers to 100 Going Up Counting Forward Skip Counting Numbers to 50: Numbers to 100: Y1 Numbers: 1N2b Given a number, Before, After and Between to 20 Before, After and Between to 100 Numbers to 20 identify one more and one Counting Backwards Going Down Numbers to 50 less. Counting Forwards Going Up Numbers to 100 Numbers to 50: 1N2c Read and write Y1 Numbers: Matching Numbers to 10 numbers from 1 to 20 in Numbers to 20 Matching Numbers to 20 numerals and words. 1N4 Identify and represent Data, Time & Money: numbers using objects and More or Less? Numbers to 100: Y1 Numbers: pictorial representations Who has the goods? Arranging numbers Numbers to 20 including the number line, Numbers to 50: Making Numbers Count Numbers to 50 and use the language of: 1 to 30 Number Lines Numbers to 100 equal to, more than, less Making Teen Numbers than (fewer), most, least. For guides, training and support visit www.3plearning.com/training 5
Primary National Curriculum for England Year 1 Expectation Activities & Live Mathletics eBooks Number: Addition & Subtraction Addition & Subtraction: Addition & Subtraction: Y1 Operations with 1C1 Represent and use number Addictive Addition Balance Additions to 20 Numbers: bonds and related subtraction Adding to make 5 & 10 Subtracting from Ten Addition; Subtraction; facts within 20. Balance numbers to 10 Subtraction Facts to 18 Addition & Subtraction Balance numbers to 20 Live Mathletics L1, 2 Addition & Subtraction: Addition & Subtraction: Addictive Addition Balance Additions to 20 Y1 Operations with 1C2a Add and subtract one-digit Adding to make 5 & 10 Simple Subtraction Numbers: and two-digit numbers to 20, Addition Subtracting from Ten Addition; Subtraction; including zero. Addition Facts Subtraction Facts to 18 Addition & Subtraction Balance numbers to 10 Live Mathletics L1, 2 Balance numbers to 20 Addition & Subtraction: Addition & Subtraction: 1C2b Read, write and interpret Y1 Operations with Addictive Addition Simple Subtraction mathematical statements involving Numbers: Addition Subtracting from Ten addition (+), subtraction (-) and Addition; Subtraction; Addition Facts Subtraction Facts to 18 equals (=) signs. Addition & Subtraction Balance numbers to 10 Live Mathletics L1, 2 1C4 Solve one-step problems that Addition & Subtraction: involve addition and subtraction, Grouping & Sharing: Y1 Operations with Add and Subtract Problems using concrete objects and Groups of Five Numbers: Balance Additions to 20 pictorial representations, and Groups of Ten Addition; Subtraction; Balance numbers to 10 missing number problems such as Groups of Two Addition & Subtraction Balance numbers to 20 7 =_ - 9. Number: Multiplication & Division 1C8 Solve one-step problems Grouping & Sharing: involving multiplication and Groups of Five Y1 Operations with division, by calculating the answer Groups of Ten Numbers: using concrete objects, pictorial Groups of Two Multiplication representations and arrays with Multiplication Arrays Division the support of the teacher. Share the Treasure Number: Fractions Number & Fractions 1F1a Recognise, find and name a Halves Grouping & Sharing Y1 Numbers: half as one of two equal parts of Halves and Quarters Share the Treasure Fractions an object, shape or quantity. Is it half? 1F1b Recognise, find and name a Number & Fractions Grouping & Sharing Y2 Numbers: quarter as one of four equal parts Halves and Quarters Share the Treasure Fractions of an object, shape or quantity. For guides, training and support visit www.3plearning.com/training 6
Primary National Curriculum for England Year 1 Expectation Activities & Live Mathletics eBooks Measurement 1M1 Compare, describe and solve practical problems for: lengths and Measurement Y1 Measurement: heights (e.g. long/short, longer/shorter, Data, Time & Money Comparing Volume Length, Mass, Volume & tall/short, double/half); mass or weight More or Less? Everyday Length Capacity (e.g. heavy/light, heavier than, lighter Sort It Filling Fast! Y1 Chance & Data: than); capacity/volume (full/empty, Who has the Goods? Which Holds More? Data more than, less than, quarter); and time (quicker, slower, earlier, later) Measurement Y1 Measurement: 1M2 Measure and begin to record the Data, Time & Money Comparing Length Length, Mass, Volume & following: lengths and heights; Half Hour Times Everyday Length Capacity mass/weight; capacity and volume; Hour Times Everyday Mass Y1 Chance & Data: and time (hours, minutes, seconds). Which measuring tool? Data 1M3 Recognise and know the value of Y1 Time & Money: Data, Time & Money different denominations of coins and Money Everyday Money notes. 1M4a Tell the time to the hour and half Data, Time & Money Y1 Time & Money: past the hour and draw the hands on a Half Hour Times Time clock face to show these times. Hour Times 1M4b Sequence events in chronological order using language Data, Time & Money Y1 Time & Money: such as: before and after, next, first, Days of the Week Time today, yesterday, tomorrow, morning, afternoon and evening. 1M4c Recognise and use language Data, Time & Money Y1 Time & Money: relating to dates, including days of the Days of the Week Time week, weeks, months and years. Months of the Year Geometry: Properties of Shapes 1G1a Recognise and name common Space & Shape Y1 Shape & Space: 2-D shapes [e.g. rectangles (including Collect Simple Shapes 2D Shape, 3D Shape, squares), circles and triangles]. Position 1G1b Recognise and name common 3- Space & Shape Y1 Shape & Space: D shapes [e.g. cuboids (including Collect the Objects 1 2D Shape, 3D Shape, cubes), pyramids and spheres]. Match the Solid 1 Position Geometry: Position and Direction 1P2 Describe position, directions and Space & Shape Y1 Shape & Space: movements, including half, quarter and Flip, Slide, Turn Position three-quarter turns. Where is it? For guides, training and support visit www.3plearning.com/training 7
Primary National Curriculum for England Year 2 Expectation Activities & Live Mathletics eBooks Number: Place Value Numbers – Skip Counting Multiply & Divide 10 More, 10 Less Dividing Fives Count by Fives Y1 Numbers: Dividing Tens 2N1 Count in steps of 2, 3, Count by Tens Skip Counting Dividing Twos and 5 from 0, and in tens Count by Twos from any number, forward or Skip Counting Patterns & Relationships Y2 Numbers: Count Forwards Patterns Skip Counting backward. Numbers 1 Count Backwards Patterns Number Lines Live Mathletics L3: Numbers 2 2s, 5s, and 10s also 3s & 4s Number Line Order 2N2a Read and write Numbers 1: Y1 Numbers: numbers to at least 100 in Matching Numbers to 20 Numbers to 100 numerals and in words Reading Numbers to 30 Place Value to 99 Numbers 1: Numbers 1: 2N2b Compare and order Before, After & Between to 100 Compare Numbers to 100 Y1 Numbers: numbers from 0 up to 100; Compare Numbers to 20 Numbers 2: Place Value to 99 use and = signs Arranging Numbers Numbers 2: 2N3 Recognise the place Make Big Numbers Count Y1 Numbers: value of each digit in a two- Make Numbers Count Place Value to 99 digit number (tens, ones). Place value 1 Numbers 2: Y1 Numbers: 2N4 Identify, represent and Make Big Numbers Count Place Value to 99 estimate numbers using Numbers 1: Make Numbers Count Y2 Numbers: different representations, Number Lines Number Line Order Number Sense including the number line. Place value 1 Y1 Numbers: Numbers to 100 2N6 Use place value and Numbers 1: Numbers 2: Place Value to 99 number facts to solve 1st to 31st Ordinal Numbers Ordinal Numbers problems. Y2 Numbers: Number Sense Number: Addition & Subtraction 2C1a Recall and use addition Add & Subtract Add & Subtract Y2 Operations with and subtraction facts to 20 Addictive Addition Simple Subtraction Numbers: Addition, fluently, and derive and use Complements to 10, 20, 50 Live Mathletics L1, 2 Subtraction related facts up to 100. Balance numbers to 20 2C1b Add and subtract numbers mentally, including: Add & Subtract Add & Subtract a two-digit number and ones, 10More, 10 Less Simple Subtraction Y2 Operations with a two-digit number and tens, Fact Families: Add & Subtract Add 2 numbers using bonds to Numbers: Addition, two two-digit numbers, Magic Mental Addition 10 Subtraction adding three one-digit Magic Mental Subtraction Live Mathletics L1, 2 numbers. For guides, training and support visit www.3plearning.com/training 8
Primary National Curriculum for England Year 2 Expectation Activities & Live Mathletics eBooks Number: Addition & Subtraction 2C2 Add and subtract numbers Add & Subtract Add & Subtract using concrete objects, pictorial Addictive Addition Repartition to Subtract Y2 Operations with representations, including: a two-digit Bar Model Problems 1 Subtract Numbers Numbers: number and ones, a two-digit number Complements to 10, 20, 50 Patterns & Relationships Addition; Subtraction and tens, two two-digit numbers, Magic Mental Addition Adding In Any Order adding three one-digit numbers. Magic Mental Subtraction 2C3 Recognise and use the inverse Y2 Operations with Add & Subtract relationship between addition and Numbers: Addition, Balance numbers to 20 subtraction and use this to check Subtraction Fact Families: Add and Subtract calculations and missing number Related Facts 1 problems. 2C4 Solve problems with addition Numbers - Skip Counting and subtraction: using concrete Add & Subtract: Y2 Operations with Count Backward Patterns objects and pictorial representations, Bar Model Problems Numbers: Addition; Count Forward Patterns including those involving numbers, Problems: Add and Subtraction Time & Money quantities and measures; applying Subtract 1 Y2 Numbers: How much Change? (GBP) their increasing knowledge of mental Skip Counting Who has the Money? (GBP) and written methods. 2C9a Show that addition of two Add & Subtract Y2 Operations with numbers can be done in any order Balance numbers to 20 Patterns & Relationships Numbers: (commutative) and subtraction of one Fact Families: Add and Adding In Any Order Addition; Subtraction number from another cannot. Subtract Number: Multiplication & Division Multiply & Divide Multiply & Divide Y2: Operations with 2C6 Recall and use multiplication Dividing Fives Groups of Two Numbers: Multiplication; and division facts for the 2, 5 and 10 Dividing Tens Numbers 2 Division multiplication tables, including Dividing Twos Odd and Even Numbers 1 Y2: Numbers: recognising odd and even numbers. Groups of Five Live Mathletics L3: Skip Counting Groups of Ten 2s, 5s, and 10s also 3s & 4s Y2 Operations with 2C7 Calculate mathematical Numbers: Multiplication, statements for multiplication and Division division within the multiplication Multiply & Divide Live Mathletics L3 Y3 Multiplication & tables and write them using the Multiplication Arrays Division: multiplication (×), division (÷) and Introducing Multiplication equals (=) signs. Division Y2 Operations with 2C8 Solve problems involving Numbers: multiplication and division using Multiplication, Division materials, arrays, repeated addition, Numbers – Fractions Y3 Multiplication & mental methods, and multiplication Divide Into Equal Groups Division: and division facts, including problems Games and in contexts. Investigations For guides, training and support visit www.3plearning.com/training 9
Primary National Curriculum for England Year 2 Expectation Activities & Live Mathletics eBooks Number: Multiplication & Division Y2 Operations with Number: Division 2C9b Show that multiplication of Y2 Patterns & Relationships: two numbers can be done in any Patterns & Rules order (commutative) and division of Y3 Multiplication & Division: one number by another cannot. Introducing Multiplication Division Number: Fractions Numbers – Fractions 2F1a Recognise, find, name and Divide Into Equal Groups Y2 Numbers: write fractions 1/3, 1/4, 2/4 and 3/4 Fractions of a Collection Fractions of a length, shape, set of objects or Halves and Quarters Y3 Fractions: quantity. Model Fractions Introducing Fractions Part-Whole Rods 1 Y2 Numbers: Numbers – Fractions Fractions 2F1b Write simple fractions e.g. 1/2 Divide Into Equal Groups Y3 Fractions: of 6 = 3. Model Fractions Introducing Fractions Types of Fractions Y2 Numbers: Fractions 2F2 Recognise the equivalence of Y3 Fractions: 2/4 and 1/2. Introducing Fractions Types of Fractions Measurement 2M1 Compare and order lengths, Y2 Measurement: mass, volume/capacity and record Length, Mass, Volume and the results using >, < and = Capacity 2M2 Choose and use appropriate standard units to estimate and Measurement: measure length/height in any How Full? direction (m/cm); mass (kg/g); Y2 Measurement: How Heavy? temperature (°C); capacity Length, Mass, Volume and How Long is That? (litres/ml) to the nearest Capacity Temperature appropriate unit, using rulers, Using a Litre scales, thermometers and measuring vessels. 2M3a Recognise and use symbols Time & Money for pounds (£) and pence (p); Y2 Time & Money: How much change? GBP combine amounts to make a Money Who has the Money? GBP particular value. 2M3b Find different combinations Time & Money Y2 Time & Money: of coins that equal the same Who has the Money? GBP Money amounts of money. For guides, training and support visit www.3plearning.com/training 10
Primary National Curriculum for England Year 2 Expectation Activities & Live Mathletics eBooks Measurement 2M4a Tell and write the time to five Time & Money minutes, including quarter past/to the Five Minute Times Y2 Time & Money: hour and draw the hands on a clock Quarter to & Quarter Past Time face to show these times. Tell Time to the Half Hour Time & Money 2M4b Compare and sequence Y2 Time & Money: Days of the Week intervals of time. Time Months of the Year Y2 Time & Money: 2M4c Know the number of minutes in Time an hour and the number of hours in a Y3 Time: day. Time 2M9 Solve simple problems in a Time & Money practical context involving addition and Y2 Time & Money: How Much Change? GBP subtraction of money of the same unit, Money Who has the Money? GBP including giving change. Geometry: Properties of Shapes Space & Shape 2G1a Compare and sort common 2-D Y2 Space & Shape: Collect the Shapes 1 shapes and everyday objects. 3D Space Space & Shape 2G1b Compare and sort 3-D shapes Y2 Space & Shape: Collect the Objects and everyday objects. 3D Shape Match the Solid 1 2G2a Identify and describe the Space & Shape properties of 2-D shapes, including the Collect the Shapes 1 Y2 Space & Shape: number of sides and line symmetry in Count Sides and Corners 2D Space a vertical line. Symmetry Space & Shape 2G2b Identify and describe the Faces, Edges and Vertices Y2 Space & Shape: properties of 3-D shapes, including the How many Corners? 3D Space number of edges, vertices and faces. How many Edges? How many Faces? 2G3 Identify 2-D shapes on the surface of 3-D shapes, for example a Space & Shape Y2 Space & Shape: circle on a cylinder and a triangle on a Relate Shapes and Solids 3D Space pyramid. For guides, training and support visit www.3plearning.com/training 11
Primary National Curriculum for England Year 2 Expectation Activities & Live Mathletics eBooks Geometry: Position and Direction Y1 Patterns & Patterns & Relationships Relationships: 2P1 Order and arrange combinations of Colour Patterns Patterns and Rules mathematical objects in patterns and Complete the Pattern Y2 Patterns & sequences. Missing it! Relationships: Pattern Error Patterns and Rules 2P2 Use mathematical vocabulary to describe position, direction and Position movement, including movement in a Flip, Slide, Turn Y2 Space & Shape: straight line and distinguishing between Following Directions Position rotation as a turn and in terms of right Left or Right? angles for quarter, half and three-quarter turns (clockwise and anti-clockwise). Statistics Chance & Data Y1 Chance and Data: 2S1 Interpret and construct simple Chance & Data Column Graphs Data pictograms, tally charts, block diagrams Sorting Data More or Less? Y2 Chance and Data: and simple tables. Tallies Picture Graphs Data 2S2 Ask and answer simple questions by Chance & Data Y1 Chance and Data: Chance & Data counting the number of objects in each Column Graphs Data Sorting Data category and sorting the categories by More or Less? Y2 Chance and Data: Tallies quantity. Picture Graphs Data Chance & Data Y1 Chance and Data: Chance & Data 2S3 Ask and answer questions about Column Graphs Data Sorting Data totalling and comparing categorical data. More or Less? Y2 Chance and Data: Tallies Picture Graphs Data Year 2 For guides, training and support visit www.3plearning.com/training 12
Primary National Curriculum for England Lower Key Stage 2: Years 3 & 4 The national curriculum states: “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.” Year 3 Expectation Activities & Live Mathletics eBooks Number: Place Value Patterns & Relationships Multiply & Divide 3N1b Count from 0 in multiples Skip Counting Groups of Four of 4, 8, 50 and 100 Skip Counting with Coins Groups of Eight Live Mathletics L3 Reading & Understanding Reading & Understanding 3N2a Compare and order Y3 Reading and Whole Number Whole Number numbers up to 1000; read and Understanding Whole Ascending Order Number Lines write numbers up to 1000 in Numbers: Compare Numbers to 100 Which is bigger? numerals and in words. Looking at Whole Numbers Descending Order Which is smaller? Reading & Understanding Whole Number 3N2b Find 10 or 100 more or 10 More, 10 Less less than a given number. Reading & Understanding Whole Number 3N3 Recognise the place value Model Numbers of each digit in a three-digit Partition and Rename 1 number (hundreds, tens, ones). Place Value 2 Place Value of Whole Numbers Reading & Understanding Whole Number Y3 Reading and 3N4 Identify, represent and Model Numbers Understanding Whole estimate numbers using different Number Lines Numbers: representations. Partition and rename 1 Round and Estimate Place value 2 Y3 Reading and Understanding Whole 3N6 Solve number problems and Problem-solving Numbers: practical problems involving Fit the Conditions 1 Looking at Whole Numbers these ideas. Missing Numbers 1 Place Value of Whole Numbers For guides, training and support visit www.3plearning.com/training 13
Primary National Curriculum for England Year 3 Expectation Activities & Live Mathletics eBooks Number: Addition & Subtraction 3C1 Add and subtract Add & Subtract - Mental Add & Subtract - Mental Y3 Addition and Subtraction: numbers mentally Commutative Property of Magic Mental Addition Addition Mental Strategies including: a three-digit Addition Magic Mental Subtraction Subtraction Mental Strategies number and ones, a Complements to 10, 20, 50 Missing Numbers Y4 Addition and Subtraction: three-digit number and Complements to 50 and 100 Pyramid Puzzles 1 Addition Mental Strategies tens, a three-digit number Estimate Differences Live Mathletics L1, 2, 3, and 4 Subtraction Mental Strategies and hundreds. Estimate Sums (some content in L4) Add & Subtract - Written 1 Add & Subtract - Written 2 2-Digit Differences 2-Digit Differences: Regroup 3-Digit Differences Add 3-Digit Numbers: Regroup 3C2 Add and subtract Add 3-Digit Numbers Add Multi-Digit Numbers 1 Y3 Addition and Subtraction: numbers with up to three Add Three 2-Digit Numbers Add Numbers: Regroup a Ten Written Methods digits using formal written Add Two 2-Digit Numbers Add Three 2-Digit Numbers: Y4 Addition and Subtraction: methods of columnar Column Addition Regroup Written Methods addition and subtraction. Column Subtraction Add Two 2-Digit Numbers: Columns That Add Regroup Columns that Subtract Strategies for Column Addition Subtract Numbers Subtract Numbers: Regroup 3C3 Estimate the answer Y3 Reading and Add & Subtract - Mental Strategies to a calculation and use Understanding Whole Estimate Differences inverse operations to Numbers: Estimate Sums check answers. Round and Estimate Add & Subtract - Written Y3 Patterns and 3C4 Solve problems, Patterns & Relationships Find the Missing Number 1 Relationships: including missing number Commutative Property of Problem-Solving Equations and Equivalence problems using number Addition Bar Model Problems 2 Y3 Addition and Subtraction: facts, place value, and Add & Subtract - Mental I am thinking of a number! Addition more complex addition Missing Numbers Fit the Conditions 1 Subtraction and subtraction. Pyramid Puzzles 1 Missing Numbers 1 Addition and Subtraction Problems: Add & Subtract Number: Multiplication & Division Y3 Multiplication and Multiply & Divide Multiply & Divide 3C6 Recall and use Division: Dividing Eights Groups of Four multiplication and division Multiplication Facts Dividing Fours Groups of Three facts for the 3, 4 and 8 Y4 Multiplication and Dividing Threes Times tables multiplication tables. Division: Groups of Eight Live Mathletics L3 Multiplication Facts For guides, training and support visit www.3plearning.com/training 14
Primary National Curriculum for England Year 3 Expectation Activities & Live Mathletics eBooks Number: Multiplication & Division Y3 Multiplication & Division: 3C7 Write and calculate Introducing Multiplication mathematical statements for Mental Multiplication Multiply & Divide multiplication and division using the Strategies Multiply Multiples of 10 multiplication tables that they know, Division Multiply: 1-Digit Number including for two-digit numbers Y4 Multiplication & Division: Related Facts 2 times one-digit numbers, using Using Known Facts Times Tables mental and progressing to formal Written Methods written methods. Mental Division Strategies Y3 Multiplication & Division: 3C8 Solve problems, including Problem-solving Mental Multiplication missing number problems, involving Bar Model Problems 2 Strategies multiplication and division, including I am Thinking of a Number! Division integer scaling problems and Fill the jars Multiplication Strategies correspondence problems in which n Multiply & Divide Games and Investigations objects are connected to m objects. Related Facts 2 Y4 Multiplication & Division: Games and Investigations Number: Fractions 3F1a Count up and down in tenths; Y3 Fractions: recognise that tenths arise from Types of Fractions dividing an object into 10 equal parts Y4 Fractions: and in dividing one-digit numbers or Types of Fractions quantities by 10. Fractions Fractions 3F1b Recognise, find and write Fill the jars! Y3 Fractions: Part-Whole Rods 2 fractions of a discrete set of objects: Fraction Fruit Sets Introducing Fractions Partition Into Equal Parts unit fractions and non-unit fractions Fraction of an Amount Y4 Fractions: Thirds and Sixths with small denominators. Fractions of a Collection Working with Fractions What Fraction is Shaded? Model Fractions Y3 Fractions: Fractions 3F1c Recognise and use fractions as Introducing Fractions Counting with Fractions on a Number Line numbers: unit fractions and non-unit Types of Fractions Fraction of an Amount fractions with small denominators. Y4 Fractions: Identifying Fractions on a Number Line Types of Fractions Y4 Fractions: 3F2 Recognise and show, using Fractions Working with Fractions diagrams, equivalent fractions with Equivalent Fraction Wall 1 Y5: Fractions: small denominators. Shading Equivalent Fractions Types of Fractions Y3 Fractions: 3F3 Compare and order unit Fractions Introducing Fractions fractions and fractions with the same Comparing Fractions 1 & 1a Y4 Fractions: denominators. Counting with Fractions on a Number Line Working with Fractions For guides, training and support visit www.3plearning.com/training 15
Primary National Curriculum for England Year 3 Expectation Activities and Live Mathletics eBooks Number: Fractions Fractions 3F4 Add and subtract fractions with Add Subtract Fractions 1 Y5 Fractions: the same denominator within one Add: Common Denominator Calculating whole (e.g. 5/7 + 1/7 = 6/7). Subtract: Common Denominator Fractions Y4 Fractions: Counting with Fractions on a Number Line 3F10 Solve problems that involve Working with Fractions Fraction Fruit Stes 1 fractions. Y5 Fractions: Part-Whole Rods 2 Calculating Partition Into Equal Parts Measurement Y3 Measurement: Y3M1a Compare lengths Units of Length (m/cm/mm). Y3 Measurement 3M1b Compare mass (kg/g). Mass Y3 Measurement 3M1c Compare volume/ capacity Volume and Capacity (l/ml). Capacity Measurement Y3 Measurement: 3M2a Measure lengths (m/cm/mm). How Long is That? Units of Length Measuring Length Measurement Y3 Measurement 3M2b Measure mass (kg/g). How Heavy? Mass Y3 Measurement 3M2c Measure volume/capacity Volume and Capacity (l/ml) Capacity Time What is the Time? 3M4a Tell and write the time from Y3 Time Tell Time to the Half Hour an analogue clock: 12-hour clocks. Telling Time Five Minute Times Quarter to and Quarter past 3M4b Tell and write the time from Y3 Time an analogue clock: 24-hour clocks. Telling Time For guides, training and support visit www.3plearning.com/training 16
Primary National Curriculum for England Year 3 Expectation Activities and Live Mathletics eBooks Measurement 3M4c Tell and write the time from an analogue clock, including using Roman numerals from I to XII. 3M4d Estimate and read time with Time increasing accuracy to the nearest 24 Hour Time minute; record and compare time in Y3 Time: Five Minute Times terms of seconds, minutes, hours and Telling Time Quarter to and Quarter Past o’clock; use vocabulary such as Measuring Time Tell Time to the Half Hour a.m./p.m., morning, afternoon, noon and What is the Time? midnight. 3M4e Know the number of seconds in a Time Y3 Time minute and the number of days in each Using a Calendar Measuring Time month, year and leap year. 3M4f Compare durations of events, for Y3 Time example to calculate the time taken by Measuring Time particular events or tasks. Y3 Measurement: 3M7 Measure the perimeter of simple Units of Length 2-D shapes. Y4: Measurement: Perimeter Y3 Addition and Subtraction: 3M9a Add and subtract amounts of Add & Subtract – Money Money money to give change, using both £ and How much Change? Y4 Addition and Subtraction: p in practical contexts. Money Money 3M9b Add and subtract lengths (m/cm/mm). 3M9c Add and subtract mass (kg/g). 3M9d Add and subtract volume/capacity (l/ml). For guides, training and support visit www.3plearning.com/training 17
Primary National Curriculum for England Year 3 Expectation Activities and Live Mathletics eBooks Geometry: Properties of Shapes Space & Shape 3G2 Identify horizontal and Sides, Angles & Diagonals Y3 Space, Shape and Position: vertical lines and pairs of What Line am I? Lines and Angles perpendicular and parallel lines. Y2 Shape 2D Space 3G3a Draw 2-D shapes. 3D Space Y3 Space, Shape and Position: Investigating 3D shapes Space & Shape Y2 Shape 3G3b Make3-D shapes using Collect the Objects 2D Space modelling materials; recognise 3- Faces, Edges and Vertices 1 3D Space D shapes in different orientations Faces, Edges and Vertices 2 Y3 Space, Shape and Position: and describe them. Match the Solid 2 Investigating 3D shapes Y3 Space, Shape and Position: 3G4a Recognise that angles are Space & Shape Lines and Angles a property of shape or a Sides, Angles & Diagonals Y4 Space, Shape and Position: description of a turn. Right Angles Relation Lines, Angles and Shapes 3G4b Identify right angles, recognise that two right angles Y3 Space, Shape and Position: make a half-turn, three make Space & Shape Lines and Angles three quarters of a turn and four Right Angle Relation Y4 Space, Shape and Position: a complete turn; identify whether Lines, Angles and Shapes angles are greater than or less than a right angle. Statistics Chance & Data Chance & Data 3S1 Interpret and present data Bar Chart Pictographs Y3 Chance and Data: using bar charts, pictograms and Caroll Diagram Sorting Data Data tables. Interpreting Tables Tallies Making Graphs 3S2 Solve one-step and two- Chance & Data step questions such as ‘How Y3 Chance and Data: Add & Subtract Using Graphs many more?’ and ‘How many Data Bar Chart fewer?’ using information Y4 Chance and Data: Interpreting Tables presented in scaled bar charts, Data Pictographs pictograms and tables. For guides, training and support visit www.3plearning.com/training 18
Primary National Curriculum for England Year 4 Expectation Activities and Live Mathletics eBooks Number: Place Value Multiplication & Division Problem-solving Facts 4N1 Count in multiples of 6, 7, 9, Fit the Conditions 1 Groups of Nine 25 and 1000. Live Mathletics L4 Groups of Seven Groups of Six Whole Numbers Greater Than or Less Than? Y3 & 4: Reading & 4N2a Order and compare Put in Order 1 Understanding Whole Numbers: numbers beyond 1000. Which is Greater? Looking at Whole Numbers Which is Less? 4N2b Find 1000 more or less than a given number. Whole Numbers – Place Value & Rounding 4N3a Recognise the place value Expanding Numbers Y3 & 4: Reading & of each digit in a four-digit Partition and rename 2 Understanding Whole Numbers: number (thousands, hundreds, Place value 3 Place Value of Whole Numbers tens, and ones). Place Value to Thousands 4N3b Read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value. Time Y4: Reading & Understanding Elapsed Time 4N4a Identify, represent and Length, Perimeter & Area Whole Numbers: Using Timetables estimate numbers using different Measuring Length Round and Estimate Data representations. Operations with Length Y4: Chance & Data: Interpreting Tables Data Reading From a Bar Chart Place Value & Rounding Add & Subtract – Mental Nearest 10? Y3 & 4: Reading & 4N4b Round any number to the Strategies Nearest 100? Understanding Whole Numbers: nearest 10, 100 or 1000. Estimate Differences Nearest 1000? Round and Estimate Estimate Sums Rounding Numbers Y6: Reading and Understanding 4N5 Count backwards through Whole Numbers Whole Numbers: zero to include negative numbers. Integers on a Number Line Types of Numbers Problem-solving 4N6 Solve number and practical Y3: Reading and Understanding Find the Missing Number 1 problems that involve all of the Whole Numbers: Fit the Conditions 1 above and with increasingly large Looking at Whole Numbers I am Thinking of a Number! positive numbers. Place Value of Whole Numbers Missing Numbers 1 Round and Estimate Missing Numbers 2 For guides, training and support visit www.3plearning.com/training 19
Primary National Curriculum for England Year 4 Expectation Activities and Live Mathletics eBooks Number: Addition & Subtraction Add & Subtract – Mental Add & Subtract - Written Bump Add and Subtract Methods Pyramid Puzzles 2 4C2 Add and subtract Adding Colossal Columns Split Add and Subtract numbers with up to 4 digits Strategies for Column Add & Subtract - Written using the formal written Addition Y4: Addition & Subtraction: 3-Digit Differences with Zeros methods of columnar addition Subtracting Colossal Written Methods Add 3-Digit Numbers and subtraction where Columns Add 3-Digit Numbers: appropriate. Problem-solving Regroup Problems: Add and Subtract Add Three 3-Digit Numbers: Live Mathletics L4, 5 Regroup Y4: Reading & 4C3 Estimate and use inverse Add & Subtract – Mental Understanding Whole operations to check answers to Estimate Differences Numbers: a calculation. Estimate Sums Round and Estimate Add & Subtract - Mental 4C4 Solve addition and Pyramid Puzzles 2 Y4: Addition & Subtraction: subtraction two-step problems Add & Subtract - Written Addition Mental Strategies in contexts, deciding which Add Three 3-Digit Numbers: Regroup Subtraction Mental Strategies operations and methods to use Problem-solving Y5: Addition & Subtraction: and why. I am Thinking of a Number! Written Methods Problems: Add and Subtract 2 Number: Multiplication & Division Multiplication & Division Multiplication & Division Facts Facts Y4: Multiplication & Division: 4C6a Recall multiplication and Dividing Nines Groups of Six Multiplication Facts division facts for multiplication Dividing Sevens Groups of Nine Using Known Facts tables up to 12 × 12. Dividing Sixes Groups of Seven Times Tables Live Mathletics L3, 4, 5 Y3: Multiplication & Division: 4C6b Use place value, known Multiplication & Division Introducing Multiplication and derived facts to multiply Mental Methods Division Problem-solving Y4: Multiplication & Division: and divide mentally including: Mental Methods Problems: Times and Divide Mental Multiplication multiplying by 0 and 1; dividing Multiplication Strategies by 1; multiplying three numbers. Related Facts 2 Mental Division Strategies Y4: Multiplication & Division: Games and Investigations Mental Multiplication Strategies 4C6c Recognise and use Problem-solving Multiplication & Division Mental Division Strategies factor pairs and commutativity Problems: Times and Divide Related Facts 2 Using Known Facts in mental calculations. Y5: Multiplication & Division: Mental Multiplication Strategies Mental Division Strategies For guides, training and support visit www.3plearning.com/training 20
Primary National Curriculum for England Year 4 Expectation Activities and Live Mathletics eBooks Number: Calculation Multiplication & Division 4C7 Multiply two-digit and three- Grid Methods 1 Y5: Multiplication & Division: digit numbers by a one-digit Multiply: 1-Digit Number Written Methods number using formal written layout. Multiply: 1-Digit Number, Regroup Multiply: 2-Digit by 1-Digit 4C8 Solve problems involving multiplying and adding, including Y3&4: Multiplication & using the distributive law to multiply Problem-solving Division: two digit numbers by one digit, I am Thinking of a Number! Games and Investigations integer scaling problems and Problems: Times and Divide Y4: Patterns and Functions: harder correspondence problems Patterns and Functions such as how n objects are connected to m objects. Number: Fractions Y3: Fractions 4F1 Count up and down in Types of Fractions hundredths; recognise that Y4&5: Fractions hundredths arise when dividing an Fractions, Decimals and object by a hundred and dividing Percentages tenths by ten. Types of Fractions 4F2 Recognise and show, using Fractions Y4&5: Fractions diagrams, families of common Equivalent Fraction Wall 2 Types of Fractions equivalent fractions. Shading Equivalent Fractions Fractions Y5: Fractions, Decimals and 4F4 Add and subtract fractions Add Like Fractions Percentages with the same denominator. Common Denominator Calculating One take Fraction Y3: Fractions Types of Fractions 4F6a Recognise and write decimal Y4: Fractions equivalents to ¼ ½ ¾. Fractions, Decimals and Percentages Y3: Fractions 4F6b Recognise and write decimal Types of Fractions Fractions equivalents of any number of Y4: Fractions Decimal Place Value tenths or hundredths. Fractions, Decimals and Percentages For guides, training and support visit www.3plearning.com/training 21
Primary National Curriculum for England Year 4 Expectation Activities and Live Mathletics eBooks Number: Fractions Y5: Fractions, Decimals and Percentages 4F7 Round decimals with one decimal Fractions Fractions, Decimals and Percentages) place to the nearest whole number. Comparing Decimals 1 Y6: Fractions, Decimals and Percentages Decimal Fractions Y4: Fractions 4F8 Compare numbers with the same Fractions Fractions, Decimals and Percentages number of decimal places up to two Comparing Decimals 1 Y5: Fractions, Decimals and Percentages decimal places. Fractions, Decimals and Percentages 4F9 Find the effect of dividing a one- Y4: Fractions or two-digit number by 10 and 100, Fractions, Decimals and Percentages Fractions identifying the value of the digits in the Y4: Multiplication and Division: Decimal Place Value answer as units, tenths and Mental Multiplication Strategies hundredths. Mental Division Strategies 4F10a Solve problems involving increasingly harder fractions to Fractions Y4: Fractions calculate quantities, and fractions to Counting with Fractions on a Working with Fractions divide quantities, including non-unit Number Line Y5: Fractions, Decimals & Percentages fractions where the answer is a whole Fraction Fruit Sets 2 Calculating number Y4: Addition & Subtraction: 4F10b Solve simple measure and Length, Perimeter and Area Money money problems involving fractions Operations with Length Y4: Fractions: and decimals to two decimal places. Working with Fractions Measurement Y4: Length, Perimeter & Area: Units of Length Y4: Volume, Capacity & Mass: 4M1 Compare different measures, Volume, Capacity and Mass including money in pounds and pence. Y4: Addition & Subtraction: Money Y4: Time Measuring Time Y4: Length, Perimeter & Area: Units of Length Y4: Volume, Capacity & Mass: 4M2 Estimate different measures, Volume, Capacity and Mass including money in pounds and pence. Y4: Addition & Subtraction: Money Y4: Coin Count Y4: Time 4M4a Read, write and convert time Telling Time Time between analogue and digital 12-hour Measuring Time Elapsed Time clocks. Y5: Time: Measuring Time For guides, training and support visit www.3plearning.com/training 22
Primary National Curriculum for England Year 4 Expectation Activities and Live Mathletics eBooks Measurement Y4: Time 4M4b Read, write and convert Time Telling Time time between analogue and digital 24 Hour Time Measuring Time 24-hour clocks. What Time Will It Be? Y5: Time: Measuring Time Y4: Time Time 4M4c Solve problems involving Telling Time Elapsed Time converting from hours to minutes; Measuring Time Hours and Minutes Live Mathletics L5 minutes to seconds; years to Y5: Time: Using Timetables months; weeks to days. Measuring Time What Time Will it Be? Calculating Time Length, Perimeter & Area Units of Y4: Length, Perimeter & Area: Operations with Length Measurement Units of Length Units of Measurement Litre Conversions Y4: Volume, Capacity & Mass: 4M5 Convert between different Centimetres & metres Metres and Volume, Capacity and Mass units of measure (e.g. kilometre to Converting cm and mm Kilometres Y4: Time: metre; hour to minute). Grams and Kilograms Millilitres and Litres Measuring Time Grams and Milligrams Time Y5 Length, Perimeter and Area: Kilogram Conversions Hours and Minutes Units of Length Kilometre Conversions Live Mathletics L5 Length, Perimeter & Area 4M7a Measure and calculate the Measuring Length perimeter of a rectilinear figure Y4&5: Length, Perimeter & Area: Perimeter of Shapes (including squares) in centimetres Perimeter Perimeter squares and and metres. rectangles 1 Length, Perimeter & Area 4M7b Find the area of rectilinear Area of Shapes Y4&5: Length, Perimeter & Area: shapes by counting squares. Biggest Shape Area Equal Areas 4M9 Calculate different measures, Y4: Addition & Subtraction Length, Perimeter & Area including money in pounds and Money Operations with Length pence. Y4: Coin Count Geometry: Properties of Shapes Space & Shape Collect more shapes 4G2a Compare and classify Y4: Space & Shape: Collect the Objects 2 geometric shapes, including Lines, angles and shapes Collect the polygons quadrilaterals and triangles, based Y5: Geometry: Triangle Tasters on their properties and sizes. 2D Shapes Length, Perimeter & Area Equal Areas Y3: Space, Shape & Position: 4G2b Identify lines of symmetry in Space & Shape Investigating 2D Shapes 2-D shapes presented in different Symmetry Y4: Space & Shape: orientations. Symmetry or Not? Lines, angles and shapes For guides, training and support visit www.3plearning.com/training 23
Primary National Curriculum for England Year 4 Expectation Activities and Live Mathletics eBooks Geometry: Properties of Shapes Y3: Space, Shape and Position: 4G2c Complete a simple Investigating 2D Shapes symmetric figure with respect to a Y4: Space and Shape: specific line of symmetry. Lines, angles and shapes 4G4 Identify acute and obtuse Space & Shape Y4: Space and Shape: angles and compare and order Classifying Angles Lines, angles and shapes angles up to two right angles by Equal Angles size. What Type of Angle? Geometry: Position & Direction Y4: Space and Shape: 4P2 Describe movements between Position Position positions as translations of a given Following Directions Y5: Position unit to the left/right and up/down. Spatial Orientation Position 4P3a Describe positions on a 2-D Coordinate Graphs: 1st Quadrant Y4: Space and Shape: grid as coordinates in the first Coordinate Meeting Place Position quadrant. Map Coordinates Using a Key Y4: Space and Shape: 4P3b Plot specified points and Position Position draw sides to complete a given Coordinate Meeting Place Y5: Position polygon. Using a Key Coordinates Statistics 4S1 Interpret and present discrete Data Y4: Chance and Data: and continuous data using Compound Bar Chart Data appropriate graphical methods, Interpreting Tables Y5: Data Representation: including bar charts and time Reading from a Bar Chart Types of Graphs graphs. Venn Diagram 1 4S2 Solve comparison, sum and Y4: Chance and Data: difference problems using Data Data information presented in bar Add and Subtract Using Graphs Y5: Data Representation: charts, pictograms, tables and Compound Bar Chart Types of Graphs other graphs. For guides, training and support visit www.3plearning.com/training 24
Primary National Curriculum for England Upper Key Stage 2 – Years 5 & 6 The national curriculum states: “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.” Year 5 Expectation Activities and Live Mathletics eBooks Number: Place Value Y5: Reading & Understanding 5N1 Count forwards or Whole Numbers: backwards in steps of powers Patterns and Algebra Looking at Whole Numbers of 10 for any given number up Pick the Next Number Place Value of Whole Numbers to 1 000 000. Y5: Addition & Subtraction: Mental Strategies 5N2 Read, write, order and Y5: Reading & Understanding Reading & Understanding Whole Number compare numbers to at least Whole Numbers: Integers on a Number Line 1 000 000 and determine Looking at Whole Numbers Numbers from Words to Digits 1 the value of each digit. Place Value of Whole Numbers Reading & Understanding Whole Number Y5: Reading & Understanding 5N3a Determine the value of Expanded Notation Whole Numbers: each digit in numbers up to 1 Partition and Rename 3 Looking at Whole Numbers 000 000. Place Value to Millions Place Value of Whole Numbers 5N3b Read Roman numerals Whole Number Y6: Reading & Understanding to 1000 (M) and recognise Convert from Roman Numerals Whole Numbers: years written in Roman Convert to Roman Numerals Types of Numbers numerals. Whole Number Multiply & Divide – 5N4 Round any number up Rounding Numbers Mental Strategies Y5: Reading & Understanding to 1 000 000 to the nearest Add and Subtract Estimate Products Whole Numbers: 10, 100, 1000, 10 000 and Estimate Differences Estimation: Multiply and Round and Estimate 100 000. Estimate Sums Divide Estimation: Add & Subtract 5N5 Interpret negative numbers in context, count Y6: Reading & Understanding Reading & Understanding Whole Number forwards and backwards with Whole Numbers: Integers on a Number Line positive and negative whole Types of Numbers numbers through zero. For guides, training and support visit www.3plearning.com/training 25
Primary National Curriculum for England Year 5 Expectation Activities and Live Mathletics eBooks Number: Place Value Y5: Reading & Understanding Add & Subtract Whole Numbers: Multiplication & Division Facts Estimate Differences Looking at Whole Numbers 5N6 Solve number problems Compatible Numbers Estimate Sums Place Value of Whole Numbers and practical problems that Multiply & Divide – Mental Estimation: Add & Round and Estimate involve all of the above. Estimate Products Subtract Y6: Reading & Understanding Estimation: Multiply & Divide Find the Missing Number Whole Numbers: Types of Numbers Number: Addition & Subtraction Add and Subtract Compensation - Add Y5: Addition & Subtraction: 5C1 Add and subtract Compensation - Subtract Mental Strategies numbers mentally with Jump Add and Subtract Y6: Addition & Subtraction: increasingly large numbers. Split Add and Subtract Mental Strategies Live Mathletics L5 Add and Subtract 5C2 Add and subtract whole 3-Digit Differences: 1 Regrouping Y5: Addition & Subtraction: numbers with more than 4 Add 3-Digit Numbers: Regroup Written Methods digits, including using formal Add Multi-Digit Numbers 2 Y6: Addition & Subtraction: written methods (columnar Adding Colossal Columns Written Methods addition and subtraction). Subtracting Colossal Columns Add and Subtract Estimation: Add & Subtract 5C3 Use rounding to check Reading & Understanding Whole Number Y5: Reading & Understanding answers to calculations and Rounding Numbers Whole Numbers: determine, in the context of a Calculating with Fractions Round and Estimate problem, levels of accuracy. Estimate Decimal Sums 1 Estimate Decimal Differences 1 Patterns & Algebra Decreasing Patterns Y5: Addition & Subtraction: 5C4 Solve addition and Describing Patterns Mental Strategies subtraction multi-step Increasing Patterns 1 Written Methods problems in contexts, Problem-solving Y6: Addition & Subtraction: deciding which operations Magic Symbols 1 Mental Strategies and methods to use and why. Problems: Add and Subtract 1 Written Methods Problems: Add and Subtract 2 For guides, training and support visit www.3plearning.com/training 26
Primary National Curriculum for England Year 5 Expectation Activities and Live Mathletics eBooks Number: Multiplication & Division 5C5a Identify multiples and Multiplication and Division Multiply & Divide – Mental factors, including finding all Facts Divisibility Tests (2, 5, 10) Y5: Multiplication & Division factor pairs of a number, and Fact Families: Multiply & Divide Divisibility Tests (3, 4, 9) Mental Strategies common factors of two Factors Live Mathletics L5 numbers. Multiples 5C5b Know and use the Y6: Reading & vocabulary of prime numbers, Reading & Understanding Whole Number Understanding Whole prime factors and composite Prime or Composite? Numbers: (non-prime) numbers. Types of Numbers 5C5c Establish whether a Y6: Reading & number up to 100 is prime Reading & Understanding Whole Number Understanding Whole and recall prime numbers up Prime or Composite? Numbers: to 19. Types of Numbers 5C5d Recognise and use Y7: Whole Numbers: square numbers and cube How does it work? numbers, and the notation for 2 3 squared ( ) and cubed ( ). Multiply & Divide – Mental Divisibility Tests (2, 5, 10) Multiplication & Division Facts 5C6a Multiply and divide Y5&6: Multiplication & Divisibility Tests (3, 4, 9) Division Facts numbers mentally drawing Division Estimation: Multiply & Divide Multiplication Facts upon known facts. Mental Strategies Mental Methods Division 1 Live Mathletics L4, 5 Mental Methods Multiplication 5C6b Multiply and divide Multiply & Divide – Mental Strategies Y5&6: Multiplication & whole numbers and those Dividing by 10, 100, 1000 Division involving decimals by 10, 100 Multiplying by 10, 100, and 1000 Mental Strategies and 1000. 5C7a Multiply numbers up to Multiply & Divide – Written 4 digits by a one- or two-digit Multiply & Divide – Written Contracted Multiplication Y5&6: Multiplication & number using a formal written Multiply: 2-Digit Number, Grid Methods 2 Division method, including long Regroup Grid Methods 3 Written Methods multiplication for two-digit Short Multiplication Long Multiplication numbers. 5C7b Divide numbers up to 4 digits by a one-digit number Multiply & Divide – Written Methods Y5&6: Multiplication and using the formal written Remainders by Tables Division method of short division and Short Division Written Methods interpret remainders appropriately for the context. 5C8a Solve problems Multiplication and Division Facts involving multiplication and Y5: Multiplication and Fact Families: Multiply and Divide division including using their Division Problem-solving knowledge of factors and Puzzles and Investigations Problems: Multiply and Divide multiples, squares and cubes. For guides, training and support visit www.3plearning.com/training 27
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