Year 3 Maths Scheme of Work 2014 - 2015 Year 3 New National Curriculum 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. Pupils should read and spell mathematical vocabulary correctly and confidently, using their growing word reading knowledge and their knowledge of spelling. Number and Place Value Pupils should be taught to:  Count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number  Recognise the place value of each digit in a three-digit number (hundreds, tens, ones)  Compare and order numbers up to 1000  Identify, represent and estimate numbers using different representations  Read and write numbers up to 1000 in numerals and in words  Solve number problems and practical problems involving these ideas. Addition and Subtraction Pupils should be taught to: Add and subtract numbers mentally, including:  A three-digit number and ones  A three-digit number and tens  A three-digit number and hundreds  Add and subtract numbers with up to three digits, using formal written methods of column addition and subtraction  Estimate the answer to a calculation and use inverse operations to check answers  Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction. Multiplication and Division Pupils should be taught to:  Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables  Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times onedigit numbers, using mental and progressing to formal written methods  Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects.

Year 3 Maths Scheme of Work 2014 - 2015 Fractions Pupils should be taught to:  Count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 10  Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators  Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators  Recognise and show, using diagrams, equivalent fractions with small denominators  Add and subtract fractions with the same denominator within one whole [for example, 75 + 71 = 76]  Compare and order unit fractions, and fractions with the same denominators  Solve problems that involve all of the above. Measurement Pupils should be taught to:  Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)  Measure the perimeter of simple 2-D shapes  Add and subtract amounts of money to give change, using both £ and p in practical contexts  Tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12-hour and 24-hour clocks  Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes and hours; use vocabulary such as o’clock, a.m./p.m., morning, afternoon, noon and midnight  Know the number of seconds in a minute and the number of days in each month, year and leap year  Compare durations of events [for example to calculate the time taken by particular events or tasks]. Geometry (Properties of shapes) Pupils should be taught to:  Draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them  Recognise angles as a property of shape or a description of a turn  Identify right angles, recognise that two right angles make a half-turn, three make three quarters of a turn and four a complete turn; identify whether angles are greater than or less than a right angle  Identify horizontal and vertical lines and pairs of perpendicular and parallel lines. Statistics Pupils should be taught to:  Interpret and present data using bar charts, pictograms and tables  Solve one-step and two-step questions [for example, ‘How many more?’ and ‘How many fewer?’] using information presented in scaled bar charts and pictograms and tables.

Year 3 Maths Scheme of Work 2014 - 2015

Weekly Overview Day Monday Tuesday Wednesday Thursday Friday

Focus Assessment Monday Numbers and the Number System Numbers and the Number System Pattern/Algebra/Calculating Geometry/Measurement

Year 3 Maths Scheme of Work 2014 - 2015 Year Three Long Term Plan 2014 – 2015 Autumn 1 Week

NC Learning Objectives

1 (W/B 04.09.14)

Number and Place Value Recognise the place value of each digit in a three-digit number (hundreds, tens, ones) Compare and order numbers up to 1000 Addition and subtraction Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction.

2 (W/B 08.09.14)

Number and Place Value Recognise the place value of each digit in a three-digit number (hundreds, tens, ones) Solve number problems and practical problems involving these ideas. Addition and Subtraction Add and subtract numbers with up to three digits, using formal written methods of column addition and subtraction Geometry Identify horizontal and vertical lines and pairs of perpendicular and parallel lines. Draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them

3 (W/B 15.09.14)

Number and Place Value Count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number Identify, represent and estimate numbers using different representations.

Addition and subtraction Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction. Geometry Draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them

4 (W/B 22.09.14)

Number and Place Value Recognise the place value of each digit in a three-digit number (hundreds, tens, ones) Compare and order numbers up to 1000 Read and write numbers up to 1000 in numerals and in words Addition and subtraction Estimate the answer to a calculation and use inverse operations to check answers Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction.

Year 3 Maths Scheme of Work 2014 - 2015 Geometry Identify right angles, recognise that two right angles make a half-turn, three make three quarters of a turn and four a complete turn; identify whether angles are greater than or less than a right angle

5 (W/B 29.09.14)

Number and Place Value Count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number Recognise the place value of each digit in a three-digit number (hundreds, tens, ones) Addition and subtraction Add and subtract numbers mentally, including:  A three-digit number and ones  A three-digit number and tens  A three-digit number and hundreds  Add and subtract numbers with up to three digits, using formal written methods of column addition and subtraction Geometry Identify right angles, recognise that two right angles make a half-turn, three make three quarters of a turn and four a complete turn; identify whether angles are greater than or less than a right angle

6 (W/B 6.10.14)

Number and Place Value Count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number Recognise the place value of each digit in a three-digit number (hundreds, tens, ones) Addition and subtraction Add and subtract numbers mentally, including:  A three-digit number and ones  A three-digit number and tens  A three-digit number and hundreds  Add and subtract numbers with up to three digits, using formal written methods of column addition and subtraction  Estimate the answer to a calculation and use inverse operations to check answers  Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction. Geometry Draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them Recognise angles as a property of shape or a description of a turn Identify right angles, recognise that two right angles make a half-turn, three make three quarters of a turn and four a complete turn; identify whether angles are greater than or less than a right angle

7 (W/B 13.10.14)

Identify horizontal and vertical lines and pairs of perpendicular and parallel lines. Milestone Assessment Calculating, Numbers and the Number System, Pattern and Algebra (AP1):  Fluently recall adding and subtracting facts of all numbers to 10 and use these when adding lists of small numbers.  Fluently recall most adding and subtracting facts of all numbers to 20 and use efficient strategies to calculate those not known.  Know and use patterns in adding and subtracting facts for any number to 20 and beyond to recall facts, to organise them systematically and to check that all combinations have been found.

Milestone Assessment Geometry, Measurement and Statistics (AP1):  Find examples of horizontal, vertical and perpendicular lines.  Describe the properties of 3D shapes and build them.  Move objects as angled turns.  Show how right angled turns are the same as quarter turns.  Make and order right angles and angles greater or less than a right angle.  Recognise angles in 2D shapes and relate to the properties of irregular and regular shapes.  Use sorting diagrams to organise 2D and 3D shapes and explain reasoning.

Year 3 Maths Scheme of Work 2014 - 2015

8 (W/B 20.10.14)

 Use known adding and subtracting facts to derive facts to 30.  Give a sensible estimate of numbers of more than 100 objects.  Count aloud across multiples of 100 and multiples of 1000.  Read, write and build (with apparatus) 2 and 3 digit numbers.  Relate grouping and place value notation to say the value of each digit in a 3 digit number. Recap any areas needed to be revised in preparation for assessment week

Year 3 Maths Scheme of Work 2014 - 2015 Autumn 2 Week

Mathematical Area

1 (W/B 03.11.14)

Number and Place Value Count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number. Identify, represent and estimate numbers using different representations. Read and write numbers up to 1000 in numerals and in words. Addition and subtraction Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction. Measurement Tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12-hour and 24-hour clocks Number and Place Value Identify, represent and estimate numbers using different representations. Read and write numbers up to 1000 in numerals and in words. Addition and subtraction Add and subtract numbers mentally, including:  A three-digit number and ones  A three-digit number and tens  A three-digit number and hundreds  Add and subtract numbers with up to three digits, using formal written methods of column addition and subtraction. Measurement Tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12-hour and 24-hour clocks Number and Place Value Identify, represent and estimate numbers using different representations. Read and write numbers up to 1000 in numerals and in words. Count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number Addition and subtraction Add and subtract numbers mentally, including:  A three-digit number and ones  A three-digit number and tens  A three-digit number and hundreds  Add and subtract numbers with up to three digits, using formal written methods of column addition and subtraction Measurement Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes and hours; use vocabulary such as o’clock, a.m./p.m., morning, afternoon, noon and midnight Number and Place Value Recognise the place value of each digit in a three-digit number (hundreds, tens, ones) Addition and subtraction Add and subtract numbers mentally, including:  A three-digit number and ones  A three-digit number and tens  A three-digit number and hundreds  Add and subtract numbers with up to three digits, using formal written methods of column addition and subtraction

2 (W/B 10.11.14)

3 (W/B 17.11.14)

4 (W/B 24.11.14)

Year 3 Maths Scheme of Work 2014 - 2015 Estimate the answer to a calculation and use inverse operations to check answers Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction. Measurement Know the number of seconds in a minute and the number of days in each month, year and leap year

5 (W/B 01.12.14)

6 (W/B 08.12.14)

Number and Place Value Solve number problems and practical problems involving these ideas. Addition and subtraction Add and subtract numbers mentally, including:  A three-digit number and ones  A three-digit number and tens  A three-digit number and hundreds  Add and subtract numbers with up to three digits, using formal written methods of column addition and subtraction Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction. Measurement Compare durations of events [for example to calculate the time taken by particular events or tasks]. Milestone Assessment Calculating, Numbers and the Number System, Pattern and Algebra (AP2): Milestone Assessment Geometry, Measurement and Statistics (AP2):  Explain how three related numbers are connected through the inverse relation and write all  Tell times to the nearest minute, both past and to, shown on analogue clocks. the related adding and subtracting facts.  Discuss differences and similarities between digital and analogue clocks including Roman  Use understanding of equivalence, the = symbol and knowledge of the inverse relation numerals and explain how they display time.  Say times shown on a 12-hour digital clock. between adding and subtracting to solve problems where the □ symbol represents an  Calculate a given number of minutes earlier and later, than times shown on a 12-hour digital unknown number. clock.  Understand the use of zero as a place holder.  Use terms such as midday, midnight, a.m, p.m, to explain how time progresses and is labelled  Know what multiples of 10 and 100 are important milestones on the number line. in a 24 hour day.  Count forwards and backwards in sequences of multiples within their working range.  Find and compare durations of time across 24 hours, including time starting at half past the  Recognise when a given number is a multiple of 2, 3, 4, 5, 8 or 10 (at this stage a few children hour. may recognise common multiples but this is not a milestone)  Compare and order units of time, and know the number of seconds in a minute, minutes in  Notice patterns in sequences of multiples, explain the rule for the sequence and use this to an hour and hours in a day. find missing numbers.  Recall, or know how to work out, the number of days in each month and the number of days  Know how to adjust calculations and compensate when adding and subtracting 9 and when in a year, or leap year. to use this relationship. 

7 (W/B 15.12.14)

Recall and use adding and subtracting facts to 10 and the bridging strategy in any adding and subtracting calculations that involves crossing multiples of 10, and explain the steps they have taken.  Understand that multiplying is a form of calculating used instead of repeated adding and recognise when they need to multiply to solve a problem.  Read multiplying number sentences.  Read and write multiplying sentences using the ‘x’ symbol, model them with structured apparatus showing understanding of the word ‘product’. Number and Place Value Solve number problems and practical problems involving these ideas. Addition and subtraction

Year 3 Maths Scheme of Work 2014 - 2015 Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction. Multiplication and division Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects. Measurement Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes and hours; use vocabulary such as o’clock, a.m./p.m., morning, afternoon, noon and midnight

Year 3 Maths Scheme of Work 2014 - 2015 Spring 1 Week

Mathematical Area

1 (W/B 05.01.15)

Number and Place Value Count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number Recognise the place value of each digit in a three-digit number (hundreds, tens, ones) Identify, represent and estimate numbers using different representations Read and write numbers up to 1000 in numerals and in words Multiplication and division Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods Measurement Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)

2 (W/B 12.01.15)

Number and Place Value Compare and order numbers up to 1000 Read and write numbers up to 1000 in numerals and in words Multiplication and division Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects. Measurement Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml) Measure the perimeter of simple 2-D shapes

3 (W/B 19.01.15)

Number and Place Value Recognise the place value of each digit in a three-digit number (hundreds, tens, ones) Identify, represent and estimate numbers using different representations Multiplication and division Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects. Statistics Interpret and present data using bar charts, pictograms and tables Solve one-step and two-step questions [for example, ‘How many more?’ and ‘How many fewer?’] using information presented in scaled bar charts and pictograms and tables. Measurement Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml) Number and Place Value Identify, represent and estimate numbers using different representations Multiplication and division Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods. Addition and subtraction

4 (W/B 26.01.15)

Year 3 Maths Scheme of Work 2014 - 2015 Add and subtract numbers mentally, including:  A three-digit number and ones  A three-digit number and tens  A three-digit number and hundreds Measurement Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)

5 (W/B 02.02.15)

6 (W/B 09.02.15)

Milestone Assessment Calculating, Numbers and the Number System, Pattern and Algebra (AP3): Milestone Assessment Geometry, Measurement and Statistics (AP3):  Understand relative values of numbers to 1000, including recognising the idea of a range of numbers and use of symbols -, for labelling a range of numbers.  Explain and interpret a realistic context as one inviting either ‘multiplying’ or ‘dividing’ and use the inverse relation between multiplying and dividing when solving problems.  Partition numbers up to 1000 into hundreds, tens and units and to derive other ways of  Know that multiplying has a commutative property and use this to help solving dividing partitioning them. questions.  Relate pounds and pence and notation to hundreds, tens and units.  Interpret a remainder as what is left after grouping.  Use knowledge of partitioning to solve money problems.  Use fluent recall of adding and subtracting facts to 10 when adding and subtracting multiples  Relate knowledge of patterns on a 100 square to an array for 1000 and use patterns when of 10 and multiples of 100, first whole tens or whole hundreds moving on to add whole tens finding numbers in different arrays and number squares. and whole hundreds to 2 and 3 digit numbers.  Recall most multiplying facts of 2, 3, 4, 5, 8 and 10 multiplying tables.  Show understanding of m, cm and mm by making sensible estimates of lengths using suitable  Know and use the commutative property of multiplying. units.  Represent multiplying problems with structured apparatus and arrays.  Convert between m and cm, and cm and mm.  Know that changing the order of numbers in multiplying problems does not change the  Solve real-life measure problems by adding and subtracting lengths, including those given in product. mixed units.  Recognise that dividing can be expressed as finding ‘how many groups are in…?’  Measure accurately to calculate the perimeter of rectangular shapes.  Read, build with structured apparatus and write dividing number sentences using the ÷  Complete tally charts and pictograms to collect and present data, then discuss their findings. symbol.  Notice and explain the inverse relation between dividing and multiplying and know that they can use multiplying facts to derive dividing facts. Number and Place Value Identify, represent and estimate numbers using different representations Solve number problems and practical problems involving these ideas. Add and subtract numbers mentally, including:  A three-digit number and ones  A three-digit number and tens  A three-digit number and hundreds  Add and subtract numbers with up to three digits, using formal written methods of column addition and subtraction  Estimate the answer to a calculation and use inverse operations to check answers Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction. Measurement Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)

Year 3 Maths Scheme of Work 2014 - 2015 Spring 2 Week

Mathematical Area

1 (W/B 23.02.15)

Number and Place Value Recognise the place value of each digit in a three-digit number (hundreds, tens, ones) Identify, represent and estimate numbers using different representations Addition and subtraction Add and subtract numbers mentally, including:  A three-digit number and ones  A three-digit number and tens  A three-digit number and hundreds  Add and subtract numbers with up to three digits, using formal written methods of column addition and subtraction Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction. Measurement Add and subtract amounts of money to give change, using both £ and p in practical contexts

2 (W/B 02.03.15)

Number and Place Value Recognise the place value of each digit in a three-digit number (hundreds, tens, ones) Compare and order numbers up to 1000 Identify, represent and estimate numbers using different representations Addition and subtraction Add and subtract numbers mentally, including:  A three-digit number and ones  A three-digit number and tens  A three-digit number and hundreds  Add and subtract numbers with up to three digits, using formal written methods of column addition and subtraction Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction. Statistics Interpret and present data using bar charts, pictograms and tables Measurement Add and subtract amounts of money to give change, using both £ and p in practical contexts

3 (W/B 09.03.15)

Number and Place Value Count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number Statistics Interpret and present data using bar charts, pictograms and tables Multiplication and division Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods

Year 3 Maths Scheme of Work 2014 - 2015 Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects. Measurement Add and subtract amounts of money to give change, using both £ and p in practical contexts

4 (W/B 16.03.15)

Milestone Assessment Calculating, Numbers and the Number System, Pattern and Algebra (AP4):  Use knowledge of sequences of multiples to label intervals.  Use knowledge of number relationships to read values in between marked intervals.  Count in multiples of 25 and 50.  Find halfway between two multiples of 10 and two multiples of 100.  Round any 2 and 3 digit number to the nearest 10 or 100.  Record work systematically in order to quickly spot patterns.  Explain how they are using place value and known number facts to solve similar calculations.  Use knowledge of equivalence and number relationships to adjust numbers involved in a variety of calculating situations and explain their reasoning.  Use fluent recall of doubles of numbers to 10 when solving problems that involve doubling and halving higher numbers.  Use fluent recall of adding and subtracting facts of 10 when finding complements to 100.  Develop fluent recall of many facts from 2, 3, 4, 5, 8 and 10 times tables.  Recognise that some times tables have multiples in common.  Use doubling and halving as a strategy for deriving related multiplying facts between 2, 4, and 8 times tables and between 5 and 10 times tables.  Know that we can use dividing to solve problems involving sharing as well as those involving grouping.  Know that there can be remainders in sharing situations.  Write dividing sentences in response to problems illustrated by arrays, Numicon Shapes or number rods.  Use the inverse relation between multiplying and dividing when solving sharing problems

5 (W/B 23.03.15)

Number and Place Value Count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number

Milestone Assessment Geometry, Measurement and Statistics (AP4):  Use mathematical apparatus to model and discuss the relationship between the values 1p, 10p and £1 coins.  Make given amounts of money up to £10, using fewest coins and/or notes.  Calculate the total of two prices given in pounds and pence, and discuss their strategy e.g. adjusting, rounding.  Decide if goods are affordable, given a certain budget and calculate the change they should receive.

Multiplication and division Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects. Measurement Add and subtract amounts of money to give change, using both £ and p in practical contexts

Year 3 Maths Scheme of Work 2014 - 2015

Year 3 Maths Scheme of Work 2014 - 2015 Summer 1 Week

Mathematical Area

1 (W/B 13.04.15)

Number and Place Value Recognise the place value of each digit in a three-digit number (hundreds, tens, ones) Solve number problems and practical problems involving these ideas. Addition and subtraction Add and subtract numbers mentally, including:  A three-digit number and ones  A three-digit number and tens  A three-digit number and hundreds  Add and subtract numbers with up to three digits, using formal written methods of column addition and subtraction  Estimate the answer to a calculation and use inverse operations to check answers  Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction. Measurement Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml) Number and Place Value Recognise the place value of each digit in a three-digit number (hundreds, tens, ones) Solve number problems and practical problems involving these ideas. Addition and subtraction Add and subtract numbers mentally, including:  A three-digit number and ones  A three-digit number and tens  A three-digit number and hundreds  Add and subtract numbers with up to three digits, using formal written methods of column addition and subtraction  Estimate the answer to a calculation and use inverse operations to check answers  Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction. Measurement Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml) Number and Place Value Recognise the place value of each digit in a three-digit number (hundreds, tens, ones) Solve number problems and practical problems involving these ideas. Addition and subtraction Add and subtract numbers mentally, including:  A three-digit number and ones  A three-digit number and tens  A three-digit number and hundreds  Add and subtract numbers with up to three digits, using formal written methods of column addition and subtraction  Estimate the answer to a calculation and use inverse operations to check answers  Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction. Measurement Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)

2 (W/B 20.04.15)

3 (W/B 27.04.15)

Year 3 Maths Scheme of Work 2014 - 2015 4 (W/B 04.05.15)

5 (W/B 11.05.15)

6 (W/B 18.05.15)

Number and Place Value Recognise the place value of each digit in a three-digit number (hundreds, tens, ones) Solve number problems and practical problems involving these ideas. Addition and subtraction Add and subtract numbers mentally, including:  A three-digit number and ones  A three-digit number and tens  A three-digit number and hundreds  Add and subtract numbers with up to three digits, using formal written methods of column addition and subtraction  Estimate the answer to a calculation and use inverse operations to check answers  Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction. Measurement Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)  Milestone Assessment Calculating, Numbers and the Number System, Pattern and Algebra (AP5): Milestone Assessment Geometry, Measurement and Statistics (AP5):  Know that finding a constant difference is a useful strategy for finding the rule for a sequence.  Use a dial weighing scale to measure individual amounts in 100g increments, up to 5kg.  Choose whether a mental or column method is the most appropriate before solving different  Recognise equivalences between g and kg, e.g. 1000g=1kg etc. adding and subtracting problems.  Find the total mass of two or more items and the difference in mass between items.  Use rounding when making a reasonable estimate of the possible answer to an adding and  Interpret word problems involving mass, modelling with weights or other apparatus, as subtracting problem. appropriate.  Use partitioning into hundreds, tens and units as a strategy for adding and subtracting  Recall that there are 1000ml in 1l and know, or work out, the volume of 1/2l, 1/4l and ¾l in problem. ml.  Use structured apparatus when adding and subtracting 2 and 3 digit numbers to show  Understand the term capacity and make sensible estimates of volumes of liquid held in understanding of how these are partitioned, regrouped, recombined, or redistributed and can different containers. transfer this to a written method of recording in columns.  Measure out a precise volume of liquid using the scale on a jug or other scaled vessel.  Illustrate mental strategies for adding and subtracting 2 and 3 digit numbers on an empty  Solve capacity word problems, e.g. “What is the total volume of…?” and “How much is left if I number line. pour out…?”  Add or subtract amounts of money over £1 using a written method.  Present data that they have collected in tables and scaled bar charts.  Use the inverse relation between adding and subtracting to check solutions to calculations.  Notice patterns in tables and bar charts.  Illustrate scaling up and ratio problems with structured apparatus and use the language of scaling and ratio to explain their solutions.  Make general statements about what happens when multiplying and dividing by 10.  Illustrate and find solutions to multiplying and dividing problems involving teen numbers using structures apparatus and recall of facts. Multiplication and division Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects. Measurement Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)

Year 3 Maths Scheme of Work 2014 - 2015 Summer 2 Week

Mathematical Area

1 (W/B 01.06.15)

Fractions Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators Recognise and show, using diagrams, equivalent fractions with small denominators Add and subtract fractions with the same denominator within one whole [for example, 75 + 71 = 76] Multiplication and division Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods Measurement Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)

2 (W/B 08.06.15)

Fractions Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators Recognise and show, using diagrams, equivalent fractions with small denominators Add and subtract fractions with the same denominator within one whole [for example, 75 + 71 = 76] Multiplication and division Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods Measurement Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml) Fractions Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators Add and subtract fractions with the same denominator within one whole [for example, 75 + 71 = 76] Multiplication and division Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods Measurement Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml) Fractions Count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 10 Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators Multiplication and division Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods Measurement Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml) Fractions Count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 10 Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators

3 (W/B 15.06.15)

4 (W/B 22.06.15)

5 (W/B 29.06.15)

Year 3 Maths Scheme of Work 2014 - 2015

6 (W/B 06.07.15)

7 (W/B 13.07.15)

Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators Recognise and show, using diagrams, equivalent fractions with small denominators Add and subtract fractions with the same denominator within one whole [for example, 75 + 71 = 76] Compare and order unit fractions, and fractions with the same denominators Solve problems that involve all of the above. Multiplication and division Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods Milestone Assessment Calculating, Numbers and the Number System, Pattern and Algebra (AP5): Milestone Assessment Geometry, Measurement and Statistics (AP5):  Connect ordinal number names with names for fractions and understand that the  Recall that there are 1000ml in a l and know or work out the volume of 1/2l 1/4l and 3/4l. denominator tells us how many parts a whole has been divided into and the numerator tells  Understand the term capacity and make sensible estimates of volumes of liquid held in us how many of those parts are represented. different containers.  Fluently recall double and half facts and use these to find halves and quarters of numbers  Measure out a precise volume of liquid using the scale on a jug or other scaled vessels. within their working range.  Solve capacity word problems.  Make connections between unit fractions as operators and division by integers.  Present data that they have collected in tables and scaled bar charts.  Interpret remainders as fractions and notice that the context will affect how we deal with the  Notice patterns in tables and bar charts. remainder when dividing odd numbers into two or four parts.  Identify positions on a grid, using letter/number grid references.  Differentiate between finding half of a number and finding how many halves are in a number.  Describe movements on a grid with increased accuracy.  Know that fractions have places on the number line between whole numbers.  Know that the greater the number of parts a number is divided into, the smaller each of the parts becomes.  Know that half can be represented by different equivalent fractions.  Illustrate written fractions with apparatus and can write a fraction in response to seeing it built with apparatus.  Add and subtract fractions with the same denominator within one whole shape and within one set.  Investigate suitable problems and work systematically to show that they have tried and tested all possibilities.  Choose efficient recording systems.  Express a general statement and explain their reasoning. Summer activities