YEAR GROUP Term1 Term 2 Term 3 Term 4 Term 5 Term 6 Year 1 Number and Place Value (2 weeks) Week 1 Sequence and sorting Number and Place Value Length and Mass/weight Number and Place value Time Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number Read and write numbers from 1 to 20 in numerals and words Count, read and write numbers to 100 in numerals Begin to recognise the place value of numbers beyond 20 (tens and ones) Identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, least Solve problems and practical problems involving all of the above Week 2 Given a number, identify one more and one less Begin to recognise the place value of numbers beyond 20 (tens and ones) Identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, least Count in multiples of, twos, fives and tens (From Year 2) Solve problems and practical problems involving all of the aboveGiven a number, identify one more and one less Begin to recognise the place value of numbers beyond 20 (tens and ones) Identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than Recognise and create repeating patterns with numbers, objects and shapes. Identify odd and even numbers linked to counting in twos from 0 and 1. Sort objects, numbers and shapes to a given criterion and their own. Fractions Understand that a fraction can describe part of a whole. Understand that a unit fraction represents one equal part of a whole. Recognise, find and name a half as one of two equal parts of an object, shape or quantity (including measure). Recognise, find and name a quarter as one of four equal parts of an object, shape or quantity. Fractions/Capacity and Volume Understand that a fraction can describe part of a whole. Understand that a unit fraction represents one equal part of a whole. Recognise, find and name a half as one of two equal parts of an object, shape or quantity (including measure). Recognise, find and name a quarter as one of four equal parts of an object, shape or quantity. Compare and describe capacity/volume (for example, full/empty, more than, less than, half, half full, quarter) Measure and begin to record Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number (From Year 2) Read and write numbers from 1 to 20 in numerals and words Count, read and write numbers to 100 in numerals Begin to recognise the place value of numbers beyond 20 (tens and ones) Identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, least Given a number, identify one more and one less Given a number, identify ten more and ten less Order numbers to 50 Solve problems and practical problems involving all of the above Mass/weight Compare and describe mass/weight (for example, heavy/light, heavier than, lighter than) Measure and begin to record mass/weight, using nonstandard and then standard units (kg and g) within children’s range of counting competence Solve practical problems for masses/weights Solve simple one-step problems that involve addition and subtraction, using concrete Compare and describe lengths and heights (for example, long/short, longer/shorter, tall/short, double/half) Measure and begin to record lengths and heights, using non-standard and then manageable standard units (m and cm) within children’s range of counting competence Compare and describe mass/weight (for example, heavy/light, heavier than, lighter than) Measure and begin to record mass/weight, using nonstandard and then standard units (kg and g) within children’s range of counting competence Solve practical problems for lengths, heights and masses/weights Addition and Subtraction Represent and use number bonds and related subtraction facts within 20 Add and subtract one-digit and two-digit numbers to 20, including zero (using concrete objects and pictorial representations) Solve practical problems for length and height and mass/weight Fractions Understand that a fraction can describe part of a Read and write numbers from 1 to 20 in numerals and words Count, read and write numbers to 100 in numerals Begin to recognise the place value of numbers beyond 20 (tens and ones) Identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, least Given a number, identify one more and one less Given a number, identify ten more and ten less Order numbers to 50 Solve problems and practical problems involving all of the above Addition and Subtraction Represent and use number bonds and related subtraction facts within 20 (From Year 2) Add and subtract onedigit and two-digit numbers to 20, including zero (using concrete objects and pictorial representations) Solve simple one-step problems that involve addition and subtraction, using Sequence events in chronological order using language such as: before and after, next, first, today, yesterday, tomorrow, morning, afternoon and evening Recognise and use language relating to dates, including days of the week, weeks, months and years Measure and begin to record time (hours, minutes, seconds) Compare, describe and solve practical problems for time (quicker, slower, earlier, later) Multiplication and Division Solve one-step problems involving multiplication and division by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher. Subtraction – difference Subtract one-digit and two-digit numbers to 20 using ‘difference’ as finding how many more to make (using concrete objects and pictorial representations) Solve problems involving how many more to make. Present and interpret data in block diagrams using practical equipment (fewer), most, least Count in multiples of, twos, fives and tens Solve problems and practical problems involving all of the above Length and Mass/Weight Compare and describe lengths and heights (for example, long/short, longer/shorter, tall/short, double/half) Measure and begin to record lengths and heights, using nonstandard and then manageable standard units (m and cm) within children’s range of counting competence Compare and describe mass/weight (for example, heavy/light, heavier than, lighter than) Measure and begin to record mass/weight, using non-standard and then standard units (kg and g) within children’s range of counting competence Solve practical problems for lengths, heights and masses/weights Addition and Subtraction (2 weeks) Week 1 Read, write and interpret mathematical statements involving addition (+), subtraction (-) and equals (=) signs Represent and use number bonds and related subtraction facts within 20 Add and subtract one-digit and two-digit numbers to 20, including zero (using concrete objects and pictorial representations) Solve simple one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems, such as 7=□–9 Week 2 Read, write and interpret capacity and volume using nonstandard and then standard units (litres and ml) within children’s range of counting competence Solve practical problems for capacity/volume Money Recognise and know the value of different denominations of coins and notes Solve simple one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems, such as 7=□–9 Time Sequence events in chronological order using language such as: before and after, next, first, today, yesterday, tomorrow, morning, afternoon and evening Recognise and use language relating to dates, including days of the week, weeks, months and years Measure and begin to record time (hours, minutes, seconds) Compare, describe and solve practical problems for time (quicker, slower, earlier, later) ASSESS AND REVIEW WEEK objects and pictorial representations, and missing number problems, such as 7 = □ – 9 2-D and 3-D Shape Recognise and name common 2-D shapes, including rectangles (including squares), circles and triangles Recognise and name common 3-D shapes, including cuboids (including cubes), pyramids and spheres Counting and Money Count in multiples of, twos, fives and tens Recognise and know the value of different denominations of coins and notes Multiplication Add one-digit and two-digit numbers to 20, including zero Recall and use doubles of all numbers to 10 and corresponding halves Solve one-step problems involving multiplication by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher. Division Subtract one-digit and twodigit numbers to 20, including zero Recall and use doubles of all numbers to 10 and corresponding halves Solve one-step problems involving division by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher. whole Understand that a unit fraction represents one equal part of a whole Recognise, find and name a half as one of two equal parts of an object, shape or quantity (including measure) Recognise, find and name a quarter as one of four equal parts of an object, shape or quantity. Position and Direction Describe position, directions and movements, including half, quarter and threequarter turns. Tell the time to the hour and half past the hour and draw the hands on a clock face to show these times. Time Tell the time to the hour and half past the hour and draw the hands on a clock face to show these times Compare, describe and solve practical problems for time (quicker, slower, earlier, later) Measure and begin to record the following time (hours, minutes, seconds) ASSESS AND REVIEW WEEK concrete objects and pictorial representations, and missing number problems, such as 7 = □ –9 Present and interpret data in block diagrams using practical equipment Ask and answer simple questions by counting the number of objects in each category Ask and answer questions by comparing categorical data Measurement Ask and answer questions by comparing categorical data Capacity and Volume Compare, describe and solve practical problems capacity/volume (full/empty, more than, less than, quarter) Measure and begin to record capacity and volume using nonstandard and then standard units (litres and ml) within children’s range of counting competence Solve simple one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems, such as 7 = □ – 9 Fractions Understand that a fraction can describe part of a whole Understand that a unit fraction represents one equal part of a whole Recognise, find and Ask and answer simple questions by counting the number of objects in each category Compare and describe lengths and heights (for example, long/short, longer/shorter, tall/short, double/half) Measure and begin to record lengths and heights, using nonstandard and then manageable standard units (m and cm) within children’s range of counting competence Compare and describe mass/weight (for example, heavy/light, heavier than, lighter than) Measure and begin to record mass/weight, using non-standard and then standard units (kg and g) within children’s range of counting competence Solve practical problems for lengths, heights and masses/weights Sorting Recognise and create repeating patterns with numbers, objects and shapes. Identify odd and even numbers linked to counting in twos from 0 and 1. Sort objects, numbers and shapes to a given criterion and their own. ASSESS AND mathematical statements involving addition (+), subtraction (-) and equals (=) signs Represent and use number bonds and related subtraction facts within 20 (From Year 2) Add and subtract one-digit and twodigit numbers to 20, including zero (using concrete objects and pictorial representations) Solve simple one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems, such as 7 =□–9 Present and interpret data in block diagrams using practical equipment name a half as one of two equal parts of an object, shape or quantity (including measure) Recognise, find and name a quarter as one of four equal parts of an object, shape or quantity Position and Direction Time Describe position, directions and movements, including half, quarter and three-quarter turns. Tell the time to the hour and half past the hour and draw the hands on a clock face to show these times. Ask and answer simple questions by counting the number of objects in each category Ask and answer questions by comparing categorical data 2-D and 3-D shape 2-D and 3-D shape Recognise and name common 2-D shapes, including rectangles (including squares), circles and triangles Recognise and name common 3-D shapes, including cuboids (including cubes), pyramids and spheres Recognise and name common 2-D shapes, including rectangles (including squares), circles and triangles Recognise and name common 3-D shapes, including cuboids (including cubes), pyramids and spheres Year 2 Number and Place Value (2 weeks) Week 1 Read and write numbers to at least 100 in numerals and in words Recognise the place value of each digit in a two-digit number (tens, ones) Identify, represent and estimate numbers using different representations, including the number line Compare and order numbers from 0 up to 100; use <, > and = signs REVIEW WEEK Counting, multiplication and sorting Count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward (from Year 3) Understand multiplication as repeated addition Show that multiplication of two numbers can be done in any order (commutative) and division of one number by another cannot Recall and use multiplication and division facts for the 2, 5 and 10 Number and Place Value Count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward Read and write numbers to at least 100 in numerals Recognise the place value of each digit in a two-digit number (tens, ones) Identify, represent and estimate numbers using different representations, including the number line Length and Mass/Weight Choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm) to the nearest appropriate unit using rulers Compare and order lengths and record the results using >, < and = Choose and use appropriate standard units to estimate and measure mass (kg/g) to Number and Place value/Statistics Recognise the place value of each digit in a two-digit number (tens, ones) Identify, represent and estimate numbers using different representations, including the number line Compare and order numbers from 0 up to 100; use <, > and = signs Round numbers to at least 100 to the nearest 10 Time Tell and write the time to five minutes, including quarter past/to the hour and draw the hands on a clock face to show these times (from Year 3) Know the number of minutes in an hour and the number of hours in a day Compare and sequence intervals of time Multiplication and Round numbers to at least 100 to the nearest 10 Use place value and number facts to solve problems Week 2 Count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward Find 1 or 10 more or less than a given number Partition numbers in different ways (for example, 23 = 20 + 3 and 23 = 10 + 13) Identify, represent and estimate numbers using different representations, including the number line Use place value and number facts to solve problems Length and Mass/Weight Choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm) to the nearest appropriate unit using rulers Compare and order lengths and record the results using >, < and = Choose and use appropriate standard units to estimate and measure mass (kg/g) to the nearest appropriate unit using scales Compare and order mass and record the results using >, < and = Addition and Subtraction (2 weeks) Week 1 Show that addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannot Recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100 Add and subtract numbers using concrete objects, pictorial representations, and mentally, multiplication tables, including recognising odd and even numbers Calculate mathematical statements for multiplication (using repeated addition) within the multiplication tables and write them using the multiplication (×),and equals (=) signs Compare and sort numbers according to their properties Statistics Interpret and construct simple pictograms, tally charts, block diagrams and simple tables Ask and answer simple questions by counting the number of objects in each category and sorting the categories by quantity Ask and answer questions about totalling and comparing categorical data Understand subtraction as take away and difference (how many more, how many less/fewer) Fractions/Capacity and Volume Understand and use the terms numerator and denominator Understand that a fraction can describe part of a set Understand that the larger the denominator is, the more pieces it is split into and therefore the smaller each part will be Recognise, find, name and write fractions , , and of a length, shape, set of objects or quantity Count on and back in steps of and Choose and use appropriate standard units to estimate and measure capacity and volume (litres/ml) to the nearest appropriate unit using measuring Compare and order numbers from 0 up to 100; use <, > and = signs Find 1 or 10 more or less than a given number Round numbers to at least 100 to the nearest 10 Mass/Weight Choose and use appropriate standard units to estimate and measure mass (kg/g) to the nearest appropriate unit using scales Compare and order mass and record the results using >, < and = Count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward 2-D and 3-D Shape Identify and describe the properties of 2-D shapes, including the number of sides and line symmetry in a vertical line Identify 2-D shapes on the surface of 3-D shapes, (for example, a circle on a cylinder and a triangle on a pyramid) Identify and describe the properties of 3-D shapes, including the number of edges, vertices and faces Compare and sort common 2-D and 3-D shapes and everyday objects Counting and Money the nearest appropriate unit using scales Compare and order mass and record the results using >, < and = Addition and Subtraction Show that addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannot Recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100 Add and subtract numbers using concrete objects, pictorial representations, and mentally, including: a two-digit number and ones; a two-digit number and tens; two two-digit numbers; adding three onedigit numbers Solve problems with addition and subtraction: - using concrete objects and pictorial representations, including those involving numbers, quantities and measures - applying their increasing knowledge of mental and written methods Fractions Count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward Understand and use the terms numerator and denominator Recognise and use symbols for pounds (£) and pence (p) Understand that the larger the denominator is, the more pieces it is split into and therefore the smaller each part will be Combine amounts to make a particular value Find different combinations of coins that equal the same Understand that a fraction can describe part of a set Recognise, find, name and Use place value and number facts to solve problems (from Year 3) Count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward Find 1 or 10 more or less than a given number Partition numbers in different ways (for example, 23 = 20 + 3 and 23 = 10 + 13) Addition and Subtraction Show that addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannot Recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100 Add and subtract numbers using concrete objects, pictorial representations, and mentally, including: a twodigit number and ones; a two-digit number and tens; two two-digit numbers; adding three one-digit numbers Solve problems with addition and subtraction: - using concrete objects and pictorial representations, including those involving numbers, quantities and measures - applying their increasing knowledge of mental and written methods Capacity and Division Understand multiplication as repeated addition Understand division as sharing and grouping Show that multiplication of two numbers can be done in any order (commutative) and division of one number by another cannot Recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables, including recognising odd and even numbers Understand the connection between the 10 multiplication table and place value Calculate mathematical statements for multiplication (using repeated addition) and division within the multiplication tables and write them using the multiplication (×), division (÷) and equals (=) signs Solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts Statistics including Subtraction (finding the difference) Interpret and construct simple pictograms, tally charts, block diagrams and simple tables Ask and answer questions about totalling and including: a two-digit number and ones; a two-digit number and tens; two two-digit numbers; adding three one-digit numbers Solve problems with addition and subtraction: - using concrete objects and pictorial representations, including those involving numbers, quantities and measures - applying their increasing knowledge of mental and written methods Week 2 Recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100 Add and subtract numbers using concrete objects, pictorial representations, and mentally, including: a two-digit number and ones; a two-digit number and tens; two two-digit numbers; adding three one-digit numbers Solve problems with addition and subtraction: - using concrete objects and pictorial representations, including those involving numbers, quantities and measures - applying their increasing knowledge of mental and written methods Recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems Understand subtraction as take away and difference (how many more, how many less/fewer) 2-D and 3-D shape Identify and describe the vessels amounts of money write fractions , , and Compare and order volume/capacity and record the results using >, < and = Add and subtract money of the same unit, including giving change Money Solve simple problems in a practical context involving addition and subtraction of money Count on and back in steps of and Multiplication example, Recognise and use symbols for pounds (£) and pence (p) Combine amounts to make a particular value Find different combinations of coins that equal the same amounts of money Add and subtract money of the same unit, including giving change Solve simple problems in a practical context involving addition and subtraction of money Time Tell and write the time to five minutes, including quarter past/to the hour and draw the hands on a clock face to show these times (from Year 3) Know the number of minutes in an hour and the number of hours in a day Compare and sequence intervals of time ASSESS AND REVIEW WEEK of a length, shape, set of objects or quantity Write simple fractions for of 6 = 3 and Understand multiplication as repeated addition recognise the equivalence of Show that multiplication of two numbers can be done in any order (commutative) Recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables, including recognising odd and even numbers Understand the connection between the 10 multiplication table and place value Calculate mathematical statements for multiplication (using repeated addition) within the multiplication tables and write them using the multiplication (×) and equals (=) signs Solve problems involving multiplication, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts Position and Direction Division Understand division as sharing and grouping Show that multiplication of two numbers can be done in any order (commutative) and division of one number by another cannot Recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables, including recognising odd and and Order and arrange combinations of mathematical objects in patterns and sequences Use mathematical vocabulary to describe position, direction and movement, including movement in a straight line and distinguishing between rotation as a turn and in terms of right angles for quarter, half and threequarter turns (clockwise and anti-clockwise) Time Tell and write the time to five minutes, including quarter past/to the hour and draw the hands on a clock face to show these times Know the number of minutes in an hour and the number of hours in a day Compare and sequence intervals of time ASSESS AND REVIEW WEEK Volume/ Temperature Choose and use appropriate standard units to estimate and measure capacity and volume (litres/ml) to the nearest appropriate unit using measuring vessels Compare and order volume/capacity and record the results using >, < and = Choose and use appropriate standard units to estimate and measure temperature to the nearest degree (˚C) using thermometers Fractions Understand and use the terms numerator and denominator Understand that a fraction can describe part of a set Understand that the larger the denominator is, the more pieces it is split into and therefore the smaller each part will be Recognise, find, name and write fractions , , and of a length, shape, set of objects or quantity Count on and back in steps of and Write simple fractions for example, of 6 = 3 and recognise the equivalence of and Position and Direction comparing categorical data Understand subtraction as take away and difference (how many more, how many less/fewer) Recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100 Add and subtract numbers using concrete objects, pictorial representations, and mentally, including: a twodigit number and ones; a two-digit number and tens; two two-digit numbers Recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems Measurement Choose and use appropriate standard units to estimate and measure capacity and volume (litres/ml) to the nearest appropriate unit using measuring vessels Compare and order volume/capacity and record the results using >, < and = Choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm) to the nearest appropriate unit using rulers Compare and order properties of 2-D shapes, including the number of sides and line symmetry in a vertical line even numbers Time Use mathematical vocabulary to describe position, direction and movement, including movement in a straight line and distinguishing between rotation as a turn and in terms of right angles for quarter, half and threequarter turns (clockwise and anti-clockwise) Tell and write the time to five minutes, including quarter past/to the hour and draw the hands on a clock face to show these times Know the number of minutes in an hour and the number of hours in a day Calculate mathematical statements for division within the multiplication tables and write them using the division (÷) and equals (=) signs Solve problems involving division, using materials, arrays, repeated subtraction and sharing, mental methods, and multiplication and division facts, including problems in contexts Identify 2-D shapes on the surface of 3-D shapes, (for example, a circle on a cylinder and a triangle on a pyramid) Identify and describe the properties of 3-D shapes, including the number of edges, vertices and faces Compare and sort common 2-D and 3-D shapes and everyday objects, lengths and record the results using >, < and = Choose and use appropriate standard units to estimate and measure mass (kg/g) to the nearest appropriate unit using scales Compare and order mass and record the results using >, < and = Sorting Compare and sort common 2-D and 3-D shapes and everyday objects Compare and sort numbers according to their properties ASSESS AND REVIEW WEEK Compare and sequence intervals of time 2-D and 3-D Shape Identify and describe the properties of 2-D shapes, including the number of sides and line symmetry in a vertical line Identify 2-D shapes on the surface of 3-D shapes, (for example, a circle on a cylinder and a triangle on a pyramid) Identify and describe the properties of 3-D shapes, including the number of edges, vertices and faces Compare and sort common 2-D and 3-D shapes and everyday objects Year 3 Place Value Read and write numbers to at least 1000 in numerals and in words. Recognise the place value of each Counting Multiplication tables (3x, 4x) Count from 0 in multiples of 4. Place Value/ Mental addition and subtraction 2D and 3D shape incl. sorting Draw 2-D shapes and describe them. Multiplication facts (statistics) Count from 0 in multiples of 4, 8, 50 and 100. Place Value (Measures) Count from 0 in multiples of 4, 8, 50 and 100. digit in a three-digit number (hundreds, tens and ones). Partition numbers in different ways. Identify, represent and estimate numbers using different representations, including the number line. Compare and order numbers up to 1000. Round numbers to at least 1000 to the nearest 10 or 100. Solve number problems and practical problems involving these ideas. Place Value and Mental Calculation Find 1, 10 or 100 more or less than a given number. Add numbers mentally, including: a three-digit number and ones; and tens; and hundreds. Subtract numbers mentally, including: a three-digit number and ones; and tens; and hundreds. Add and subtract mentally combinations of two-digit numbers. Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Select a mental strategy appropriate for the numbers involved in the calculation. Understand and use take away and difference for subtraction, deciding on the most efficient method for the numbers involved, irrespective of context. 2D Shape, Length incl. perimeter Draw 2-D shapes and describe them Recognise angles as a property of shape Measure, compare, add and subtract: lengths (m/cm/mm). Understand that perimeter is a measure of distance around the boundary of a shape. Measure the perimeter of simple 2D shapes. Derive and use addition and subtraction Recall and use multiplication and division facts for the 3 and 4 times tables. Describe and extend number sequences involving counting on or back in different steps Use sorting diagrams to compare and sort numbers. Written and Mental Multiplication Write and calculate mathematical statements for multiplication using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods. Select a mental strategy appropriate for the numbers involved in the calculation. Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy. Solve problems involving money and measures Solve problems, including missing number problems involving multiplication, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects. Written and Mental Division Write and calculate mathematical statements for division using the multiplication tables that they know, including for two-digit numbers divided by one-digit numbers, using mental and progressing to formal written methods. Select a mental strategy appropriate for the numbers involved in the calculation. Use estimation to check answers to calculations and determine, in the Find 1, 10 or 100 more or less than a given number. Count from 0 in multiples of 50 and 100. Describe and extend number sequences involving counting on or back in different steps. Add and subtract mentally: a three-digit number and ones; a three-digit number and tens; a three digit number and hundreds. Add and subtract numbers using concrete objects, pictorial representations, and mentally, including: a 2-digit number and ones; a 2digit number and tens; two 2-digit numbers (from Year 2). Select a mental strategy appropriate for the numbers involved in the calculation. Understand and use take away and difference for subtraction, deciding on the most efficient method for the numbers involved, irrespective of context. Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy. Fractions Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators. Understand that finding a fraction of an amount relates to division. Recognise, find and write fractions of a discrete set of objects: unit fractions and nonunit fractions with small denominators. Show practically or pictorially that a fraction is one whole number divided by another (for example, Make 3-D shapes using modelling materials. Recognise 3-D shapes in different orientations and describe them. Recognise that angles area property of a shape or a description of a 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. Compare and sort common 2-D and 3-D shapes and everyday objects. Addition and subtraction (statistics) Add numbers with up to three digits, using formal written method of columnar addition. Subtract numbers with up to three digits, using formal written method of columnar subtraction. Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Understand and use take away and difference for subtraction, deciding on the most efficient method for the numbers involved, irrespective of context. Estimate the answer to a calculation and use inverse operations to check the answers. Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction. Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables. Describe and extend number sequences involving counting on or back in different steps. Interpret (and present data) using bar charts, pictograms and tables. Addition and subtraction (Measures) dd and subtract mentally a three-digit number and: ones; tens; hundreds. Add numbers with up to three digits, using formal written method of columnar addition. Subtract numbers with up to three digits, using formal written method of columnar subtraction. Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Select a mental strategy appropriate for the numbers involved in the calculation. Understand and use take away and difference for subtraction, deciding on the most efficient method for the numbers involved, irrespective of context. Estimate the answer to a calculation and use inverse operations to check the answers. Solve problems involving money and measures and simple problems involving passage of time. Solve problems, including missing number problems, Find 1, 10 or 100 more or less than a given number. Recognise the place value of each digit in a threedigit number (hundreds, tens and ones). Identify the value of each digit to one decimal place. Compare and order numbers up to 1000. Identify, represent and estimate numbers using different representations, including the number line. Read and write numbers to at least 1000 in numerals and in words. Solve problems involving measures and simple problems involving passage of time. Mental Calculation Add and subtract mentally a three-digit number and ones, tens and hundreds. Derive and use addition and subtraction facts for 100. Add and subtract numbers using concrete objects, pictorial representations, and mentally, including: a 2-digit number and ones; a 2-digit number and tens; two 2-digit numbers; adding three 1-digit numbers (from Year 2). Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Understand and use take away and difference for subtraction, deciding on the most efficient method for the numbers involved, irrespective of context. facts for 100.. Add and subtract numbers using concrete objects, pictorial representations, and mentally, including: - a 2-digit number and ones - a 2-digit number and tens - two 2-digit numbers - adding three 1-digit numbers (from Year 2). Select a mental strategy appropriate for the numbers involved in the calculation. Understand and use take away and difference for subtraction, deciding on the most efficient method for the numbers involved, irrespective of context. Statistics and Mental Calculation Interpret and present data using bar charts 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 tables. Derive and use addition and subtraction facts for 100.. Add and subtract numbers using concrete objects, pictorial representations, and mentally, including: - a 2-digit number and ones - a 2-digit number and tens - two 2-digit numbers - adding three 1-digit numbers (from Year 2). Select a mental strategy appropriate for the numbers involved in the calculation. Understand and use take away and difference for subtraction, deciding on the most efficient method for the numbers involved, irrespective of context. Written Addition Add numbers with up to three digits, using formal written method of columnar addition. Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Estimate the answer to a calculation context of a problem, an appropriate degree of accuracy. Solve problems involving money and measures Solve problems, including missing number problems, involving division (and interpreting remainders) and correspondence problems in which n objects are connected to m objects. Time 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. Solve simple problems involving passage of time. 3-D Shape Make 3-D shapes using modelling materials. Recognise 3-D shapes in different orientations and describe them Identify horizontal and vertical lines and pairs of perpendicular and parallel lines Compare and sort common 3-D shapes and everyday objects. ASSESS AND REVIEW WEEK can be interpreted as 3 ÷ 4). Fractions Division Understand that finding a fraction of an amount relates to division. Recognise, find and write fractions of a discrete set of objects: unit fractions and nonunit fractions with small denominators. Understand how division statements can be represented using arrays. Understand division as sharing and grouping and use each appropriately. Select a mental strategy appropriate for the numbers involved in the calculation. Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy. Write and calculate mathematical statements for division using the multiplication tables that they know, including for two-digit numbers divided by one-digit numbers, using mental and progressing to formal written methods. Volume and Capacity/ Mass Measure, compare, add and subtract volumes and capacities. Measure, compare, add and subtract masses. Solve problems involving and measures. Multiplication incl. 8x table Count from 0 in multiples of 8. Recall and use multiplication and division facts for the 8 multiplication tables. Solve one-step and two-step questions such as ‘How many more?’ and ‘How many fewer?’ using information presented in scaled bar charts and pictograms and tables. Fractions Recognise and show, using diagrams, equivalent fractions with small denominators. Add and subtract fractions with the same denominator within one whole (using diagram) (for example, + = ). Show practically or pictorially that a fraction is one whole number divided by another (for example, can be interpreted as 3 ÷ 4). Compare and order unit fractions and fractions with the same denominators (including on a number line). Solve problems involving fractions. Position and Direction Use mathematical vocabulary to describe position, direction and movement, including distinguishing between rotation as a turn and in terms of right angles for quarter, half and three-quarter turns (clockwise and anti-clockwise), and movement in a straight line. Describe positions on a square grid labelled with letters and numbers. Time Tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12-hour and 24hour clocks. using number facts, place value, and more complex addition and subtraction. Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml). Measure the perimeter of simple shapes. Multiplication and division (Measures) Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables. Write and calculate mathematical statements for multiplication using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods. Write and calculate mathematical statements for division using the multiplication tables that they know, including for two-digit numbers divided by one-digit numbers, using mental and progressing to formal written methods. Select a mental strategy appropriate for the numbers involved in the calculation. Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy. Solve problems involving money and measures and simple problems involving passage of time. Solve problems, including missing number problems involving multiplication and division, including positive Select a mental strategy appropriate for the numbers involved in the calculation. Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy. Solve problems involving money and measures and simple problems involving passage of time. Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables. Fractions 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. Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators. Show practically or pictorially that a fraction is one whole number divided by another (for example, can be interpreted as 3 ÷ 4). Measures Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml). Measure the perimeter of simple 2-D shapes. Solve problems involving measures. Statistics Interpret and present data and use inverse operations to check the answers. Solve problems, including missing number problems, using number facts, place value, and more complex addition. Written Subtraction Subtract numbers with up to three digits, using formal written method of columnar subtraction. Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Estimate the answer to a calculation and use inverse operations to check the answers. Solve problems, including missing number problems, using number facts, place value, and more complex subtraction. Use sorting diagrams to compare and sort numbers. Describe and extend number sequences involving counting on or back in different steps. Write and calculate mathematical statements for multiplication using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods. Select a mental strategy appropriate for the numbers involved in the calculation. Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy. Multiplication (statistics, measures, money) Write and calculate mathematical statements for multiplication using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods. Select a mental strategy appropriate for the numbers involved in the calculation. Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy. Solve problems involving money and measures. Solve problems, including missing number problems involving multiplication, including positive integer scaling problems and correspondence 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. Solve simple problems involving passage of time. ASSESS AND REVIEW WEEK integer scaling problems. 2D shape incl. sorting Draw 2-D shapes and describe them. Identify horizontal and vertical lines and pairs of perpendicular and parallel lines. Recognise that angles are a property of a 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. Compare and sort common 2-D and 3-D shapes and everyday objects (from Year 2). Decimals Addition and subtraction (money) 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. Identify the value of each digit to one decimal place. Read and write numbers with one decimal place. Compare and order numbers with one decimal place. Continue to recognise and use symbols for pounds (£) and pence (p) and understand that the decimal point separates pounds and pence. Recognise that ten 10p coins using bar charts, pictograms and tables. Solve one-step and twostep questions such as ‘How many more?’ and ‘How many fewer?’ using information presented in scaled bar charts and pictograms and tables. ASSESS AND REVIEW WEEK problems in which n objects are connected to m objects. are equivalent to £1 and that each coin is of £1. Add and subtract amounts of money to give change, using both £ and p in practical contexts. Solve problems involving money. Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Understand and use take away and difference for subtraction, deciding on the most efficient method for the numbers involved, irrespective of context. Select a mental strategy appropriate for the numbers involved in the calculation. Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy. 3D shape incl. sorting Make 3-D shapes using modelling materials. Recognise 3-D shapes in different orientations and describe them. Compare and sort common 2-D and 3-D shapes and everyday objects (from Year 2). Year 4 Place Value Read and write numbers to at least 10 000. Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens and ones). Find 0.1, 1, 10, 100 or 1000 more or less than a given number. Mental Multiplication incl. 6x and 9x tables Recall multiplication and division facts for the 6 times table and 9 times table. Use place value, known and derived facts to multiply mentally, including: multiplying by 0 and 1; multiplying together three numbers. Place Value Roman numerals Counting incl. negative numbers Read Roman numerals to 100 (I to C) and know that, over time, the numeral system changed to include the concept Mental multiplication and Written Division incl. 7x and 11x tables Recall multiplication and division facts for the 7 times table and 11 times table. Use place value, known and Counting and Sequences (statistics) Count in multiples of 6, 7, 8, 25 and 1000. Count backwards through zero to include negative numbers. Place Value Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens and ones). Order and compare numbers beyond 1000. Identify, represent and estimate numbers using Order and compare numbers beyond 1000. Identify, represent and estimate numbers using different representations, including the number line.. Round any number to the nearest 10, 100 or 1000. Solve number and practical problems that involve all of the above and with increasingly large positive numbers. Place value – Decimals Read and write numbers with up to two decimal places. Identify the value of each digit to two decimal places. Count up and down in hundredths. Recognise that hundredths arise when dividing an object by a hundred and dividing tenths by ten. Recognise that one hundred 1p coins are equivalent to £1 and that each coin is of £1. Write amounts of money using decimal notation. Round decimals with one decimal place to the nearest whole number. Order and compare numbers with the same number of decimal places up to two decimal places. Find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredths. Written Addition and Subtraction Partition numbers in different ways (for example, 2.3 = 2 + 0.3 and 2.3 = 1 + 1.3) Add and subtract numbers with up to 4 digits and decimals with one decimal place using the formal written methods of columnar addition and subtraction where appropriate. Choose an appropriate strategy to solve a calculation based upon the numbers Recognise and use factor pairs and commutativity in mental calculations. Use partitioning to double or halve any number, including decimals to one decimal place. Select a mental strategy appropriate for the numbers involved in the calculation. Mental Division Partition numbers in different ways (for example, 2.3 = 2 + 0.3 and 2.3 = 1 + 1.3) Recall multiplication and division facts for the 6 times table and 9 times table. Use place value, known and derived facts to divide mentally, including dividing by 1. Select a mental strategy appropriate for the numbers involved in the calculation. Written Multiplication Multiply two-digit and three-digit numbers by a one-digit number using formal written layout. Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Use estimation and inverse to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy. Solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, division (including remainders), integer scaling problems and harder correspondence problems such as which n objects are connected to m objects. Length incl. perimeter Estimate, compare and calculate different lengths. Measure and calculate the of zero and place value. Count in multiples of 6, 8, 25 and 1000. Count backwards through zero to include negative numbers. Order temperatures including those below 0˚C. Describe and extend number sequences involving counting on or back in different steps, including sequences with multiplication and division steps. Fractions Understand that a fraction is one whole number divided by another (for example, can be interpreted as 3 ÷ 4) Add and subtract fractions with the same denominator. Recognise and show, using diagrams, families of common equivalent fractions. Recognise and write decimal equivalents of any number of tenths or hundredths. Recognise and write decimal equivalents to ¼ ; ½ ; ¾ . Count on and back in steps of unit fractions. Compare and order unit fractions and fractions with the same denominator (including on a number line) Fractions, Decimals andDivision Recognise, find and write fractions of a discrete set of objects including those with a range of numerators and denominators. Select a mental strategy appropriate for the numbers involved in the calculation. Use estimation and inverse to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy. derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers. Recognise and use factor pairs and commutativity in mental calculations. Use partitioning to double or halve any number, including decimals to one decimal place. Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Use estimation and inverse to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy. Select a mental strategy appropriate for the numbers involved in the calculation. Continue to understand division as sharing and grouping and use each appropriately. Divide numbers up to 3 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context. Place Value Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens and ones). Order and compare numbers beyond 1000. Identify, represent and estimate numbers using different representations, including the number line. Identify the value of each digit to two decimal places. Find 0.1, 1, 10, 100 or 1000 more or less than a given Count up and down in hundredths. Describe and extend number sequences involving counting on or back in different steps, including sequences with multiplication and division steps. Fractions and decimals (measures) Identify the value of each digit to two decimal places. Recognise and write decimal equivalents of any number of tenths or hundredths. Recognise and write decimal equivalents to ¼ ; ½;¾. Find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredths. Convert between different units of measure. Round decimals with one decimal place to the nearest whole number. Order and compare numbers with the same number of decimal places up to two decimal places. Solve simple measure problems involving fractions and decimals to two decimal places. Fractions and Written Division Continue to understand division as sharing and grouping and use each appropriately. Understand that a fraction is one whole number divided by different representations, including the number line. Round any number to the nearest 10, 100 or 1000. Solve number and practical problems that involve all of the above and with increasingly large positive numbers. Statistics Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs. Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs. Addition and subtraction (statistics) Add and subtract numbers with up to 4 digits and decimals with one decimal place using the efficient written methods of columnar addition and subtraction where appropriate. Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Select a mental strategy appropriate for the numbers involved in the calculation. Estimate and use inverse operations to check answers to a calculation. Solve addition and subtraction two-step problems in contexts, deciding which operations involved (recall a known fact, calculate mentally, use a jotting, written method). Select a mental strategy appropriate for the numbers involved in the calculation. Estimate and use inverse operations to check answers to a calculation. Written Addition and Subtraction (problems and inverse) Partition numbers in different ways (for example, 2.3 = 2 + 0.3 and 2.3 = 1 + 1.3) Add and subtract mentally combinations of two and three digit numbers and decimals to one decimal place. Add and subtract numbers with up to 4 digits and decimals with one decimal place using the formal written methods of columnar addition and subtraction where appropriate. Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Select a mental strategy appropriate for the numbers involved in the calculation. Estimate and use inverse operations to check answers to a calculation. Solve addition and subtraction twostep problems in contexts, deciding which operations and methods to use and why. 2D Shape Continue to identify horizontal and vertical lines and pairs of perpendicular and parallel lines. Identify acute and obtuse angles and compare and order angles up to two right angles by size. Identify lines of symmetry in 2-D shapes presented in different orientations. Use a variety of sorting diagrams to compare and classify numbers and geometric shapes, including quadrilaterals and triangles, based on their properties and sizes. perimeter of a rectilinear figure (including squares) in centimetres and metres. Convert between different units of measure (e.g. kilometre to metre; hour to minute). Statistics Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs. Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs. ASSESS AND REVIEW WEEK Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number. Solve simple measure and money problems involving fractions and decimals to two decimal places. Position and Direction Describe positions on a 2-D grid as coordinates in the first quadrant. Describe movements between positions as translations of a given unit to the left/right and up/down. Plot specified points and draw sides to complete a given polygon. Complete a simple symmetric figure with respect to a specific line of symmetry. Area Understand that area is a measure of surface within a given boundary. Find the area of rectilinear shapes by counting squares. Multiplication (statistics, measures, money) Add and subtract numbers with up to 4 digits and decimals with one decimal place using the formal written methods of columnar addition and subtraction where appropriate. Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Estimate and use inverse operations to check answers to a calculation. number. Round any number to the nearest 10, 100 or 1000. Solve number and practical problems that involve all of the above and with increasingly large positive numbers. Written multiplication Count in multiples of 7. Multiply two-digit and threedigit numbers by a one-digit number using formal written layout. Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Use estimation and inverse to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy. Solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, division (including remainders), integer scaling problems and harder correspondence problems such as which n objects are connected to m objects. 2D Shape and Position Use a variety of sorting diagrams to compare and classify numbers and geometric shapes, including quadrilaterals and triangles, based on their properties and sizes. Continue to identify horizontal and vertical lines and pairs of another (for example, can be interpreted as 3 ÷ 4) Divide numbers up to 3 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context. Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number. Measures Volume/capacity and Mass Estimate, compare and calculate different measures. Measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres. Position and Area Complete a simple symmetric figure with respect to a specific line of symmetry. Describe movements between positions as translations of a given unit to the left/right and up/down. Describe positions on a 2D grid as coordinates in the first quadrant. Plot specified points and draw sides to complete a given polygon. Find the area of rectilinear shapes by counting squares. Multiplication Facts incl. 12x table and Time and methods to use and why. Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs. Multiplication and Division Partition numbers in different ways (for example, 2.3 = 2 + 0.3 and 2.3 = 1 + 1.3) Use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers. Recognise and use factor pairs and commutativity in mental calculations. Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Select a mental strategy appropriate for the numbers involved in the calculation. Use estimation and inverse to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy. Multiply two-digit and three-digit numbers by a one-digit number using formal written layout. Solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, division (including remainders), integer scaling problems and harder Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why. Time Read, write and convert time between analogue and digital 12 and 24-hour clocks. Solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days and problems involving money and measures. perpendicular and parallel lines. Identify acute and obtuse angles and compare and order angles up to two right angles by size. Identify lines of symmetry in 2-D shapes presented in different orientations. Describe positions on a 2-D grid as coordinates in the first quadrant. Plot specified points and draw sides to complete a given polygon. Addition and subtraction (statistics) Add and subtract numbers with up to 4 digits and decimals with one decimal place using the formal written methods of columnar addition and subtraction where appropriate. Interpret discrete and continuous data using appropriate graphical methods, including bar charts and time graphs. Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs. Recall multiplication and division facts for the 12 times table. Describe and extend number sequences involving counting on or back in different steps, including sequences with multiplication and division steps. Read, write and convert time between analogue and digital 12 and 24-hour clocks. Solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days and problems involving money and measures. correspondence problems such as which n objects are connected to m objects. Shape Use a variety of sorting diagrams to compare and classify numbers and geometric shapes, including quadrilaterals and triangles, based on their properties and sizes. Continue to identify horizontal and vertical lines and pairs of perpendicular and parallel lines. Identify acute and obtuse angles and compare and order angles up to two right angles by size. Identify lines of symmetry in 2-D shapes presented in different orientations. Complete a simple symmetric figure with respect to a specific line of symmetry. ASSESS AND REVIEW WEEK ASSESS AND REVIEW WEEK Year 5 Place Value Read, write, order and compare numbers to at least 1 000 000 and determine the value of each digit. Identify, represent and estimate numbers using the number line. Count forwards or backwards in steps of powers of 10 for any given number up to 1 000 000 Mental x and ÷ (factors, multiples) Identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers. Know and use the vocabulary of prime numbers. Establish whether a number up to Place Value, Roman Numerals, Counting incl. negative numbers Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers through zero. Mental and Written Division Identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers. Divide numbers mentally drawing upon known facts. Place Value Identify, represent and estimate numbers using the number line. Read, write, order and compare numbers to at least 1 000 000 and determine the value of each digit. Place Value Read, write, order and compare numbers to at least 1 000 000 and determine the value of each digit. Count forwards or backwards in steps of powers of 10 for any given Describe and extend number sequences including those with multiplication and division steps and those where the step size is a decimal. Round any number up to 1 000 000 to the nearest 10, 100, 1000, 10 000 and 100 000. Solve number problems and practical problems that involve all of the above. Find 1, 10, 100, 1000 and other powers of 10 more or less than a given number than a given number. Place Value – Decimals Identify, represent and estimate numbers using the number line. Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents. Identify the value of each digit to three decimal places. Read, write, order and compare numbers with up to three decimal places. Find 0.01, 0.1, 1, 10, 100, 1000 and other powers of 10 more or less than a given number than a given number. Count forwards and backwards in decimal steps. Describe and extend number sequences including those with multiplication and division steps and those where the step size is a decimal. Round decimals with two decimal places to the nearest whole number and to one decimal place. Multiply and divide whole numbers and those involving decimals by 10, 100 and 1000. Solve problems involving number up to three decimal places. Written + and – 100 is prime. Recognise and use square numbers and the notation for squared (2). Use partitioning to double or halve any number, including decimals to two decimal places. Multiply and divide numbers mentally drawing upon known facts. Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Select a mental strategy appropriate for the numbers involved in the calculation. Solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes. Division including problems Divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context. Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Solve problems involving division. Fractions (compare, order, equivalence) Count on and back in mixed number steps such as 1½. Read and write decimal numbers as fractions. Identify, name and write equivalent fractions of a given fraction, represented visually, Calculate difference in temperature, including those that involve a positive and negative temperature. Describe and extend number sequences including those with multiplication and division steps and those where the step size is a decimal. Continue to order temperatures including those below 0°C. Read Roman numerals to 1000 (M) and recognise years written in Roman numerals. Addition and Subtraction including problems Add and subtract numbers mentally with increasingly large numbers and decimals to two decimal places. Add and subtract whole numbers with more than 4 digits and decimals with two decimal places, including using formal written methods (columnar addition and subtraction). Use estimation and inverse to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy. Calculate difference in temperature, including those that involve a positive and negative temperature. Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Select a mental strategy appropriate for the numbers involved in the calculation. Divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context. Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Select a mental strategy appropriate for the numbers involved in the calculation. Solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign. Solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates. 2D and 3D shape incl. sorting Distinguish between regular and irregular polygons based on reasoning about equal sides and angles. Use the properties of rectangles to deduce related facts and missing lengths and angles. Identify 3-D shapes, including cubes and other cuboids, from 2-D representations. Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes. Identify the value of each digit to three decimal places. Read, write, order and compare numbers with up to three decimal places. Count forwards or backwards in steps of powers of 10 for any given number up to 1 000 000. Count forwards and backwards in decimal steps. Describe and extend number sequences including those with multiplication and division steps and those where the step size is a decimal. Round any number up to 1 000 000 to the nearest 10, 100, 1000, 10 000 and 100 000. Round decimals with two decimal places to the nearest whole number and to one decimal place. Solve number problems and practical problems that involve all of the above. Find 0.01, 0.1, 1, 10, 100, 1000 and other powers of 10 more or less than a given number than a given number. Fractions Recognise mixed numbers and improper fractions and convert from one form to another. Compare and order fractions whose denominators are all multiples of the same number (including on a number line). number up to 1 000 000. Describe and extend number sequences including those with multiplication and division steps and those where the step size is a decimal. Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero. Continue to order temperatures including those below 0°C. Round any number up to 1 000 000 to the nearest 10, 100, 1000, 10 000 and 100 000. Solve number problems and practical problems that involve all of the above. Written Calculations Add and subtract whole numbers with more than 4 digits and decimals with two decimal places, including using formal written methods (columnar addition and subtraction) Multiply numbers up to 4 digits by a one- or twodigit number using a formal written method, including long multiplication for twodigit numbers. Divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately including problems Add and subtract whole numbers with more than 4 digits and decimals with two decimal places, including using formal written methods (columnar addition and subtraction). Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Use estimation and inverse to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy. Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why. Geometry (angles) Know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles. Draw given angles and measure them in degrees (°). Geometry and Measures (perimeter) Distinguish between regular polygons based on reasoning about equal sides and angles. Use the properties of rectangles to deduce related facts and find missing lengths and angles. Measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres. Addition and Subtraction (statistics) Solve comparison, sum and difference problems using information presented in a line graph. Add and subtract numbers mentally with increasingly large including tenths and hundredths. Compare and order fractions whose denominators are all multiples of the same number (including on a number line). Solve problems involving fractions. Multiplication and Measures (area) Multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including long multiplication for two-digit numbers. Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known or related fact, calculate mentally, use a jotting, written method). Calculate and compare the area of rectangles (including squares), and including using standard units, square centimetres (cm2) and square metres (m2) and estimate the area of irregular shapes. Statistics and Measures (time) Continue to read, write and convert time between analogue and digital 12 and 24-hour clocks. Complete, read and interpret information in tables, including timetables. Solve problems involving converting between units of time. ASSESS AND REVIEW WEEK Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why. Use all four operations to solve problems involving measure (for example, length, mass, volume, money) using decimal notation. Mental and Written Multiplication Identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers. Multiply and divide numbers mentally drawing upon known facts. Multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including long multiplication for two-digit numbers. Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Select a mental strategy appropriate for the numbers involved in the calculation. Solve problems involving multiplication including using their knowledge of factors and multiples, cubes and squares. Solve problems involving multiplication, including scaling by simple fractions and problems involving simple rates. Measures (length, mass and Calculating with fractions Recognise mixed number and improper fractions and convert from one form to the other. Add and subtract fractions with the same denominator and denominators that are multiples of the same number (using diagrams). Write mathematical statements > 1 as a mixed number, e.g. + = =1 . Measures (area and volume) Calculate and compare the area of rectangles (including squares), and including using standard units, square centimetres (cm²) and square metres (m²) and estimate the area of irregular shapes. Understand the difference between liquid volume, including capacity and solid volume. Estimate (and calculate) volume (for example, using 1cm3 blocks to build cuboids (including cubes)). Statistics and Measures Use, read and write standard units of length and mass to a suitable degree of accuracy. Estimate and calculate capacity. Calculate and interpret the mode, median and range. Add and subtract numbers mentally with increasingly Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths. Add and subtract fractions with the same denominator and denominators that are multiples of the same number (using diagrams). Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams. Measures (time) and Statistics Continue to read, write and convert time between analogue and digital 12 and 24-hour clocks. Complete, read and interpret information in tables, including timetables. Solve problems involving converting between units of time. Understand and use approximate equivalences between metric and common imperial units such as pints. Solve comparison, sum and difference problems using information presented in all types of graph including a line graph. Geometry Distinguish between regular and irregular polygons based on reasoning about equal sides and angles. for the context. Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Use estimation and inverse to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy. Solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign. Fractions Round decimals with two decimal places to the nearest whole number and to one decimal place. Solve problems involving number up to three decimal places. Recognise the per cent symbol (%) and understand that per cent relates to ‘number of parts per hundred’, and write percentages as a fraction with denominator 100, and as a decimal. Solve problems which require knowing percentage and decimal equivalents of , , , , and those fractions with a denominator of a multiple of 10 or 25. Measures (mass, numbers and decimals to two decimal places. Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Select a mental strategy appropriate for the numbers involved in the calculation. capacity) Use, read and write standard units of length and mass to a suitable degree of accuracy. Estimate (and calculate) capacity. Multiply and divide numbers and those involving decimals by 10, 100 and 1000. Convert between different units of metric measure (for example, kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre.) Geometry (reflection and translation) Distinguish between regular and irregular polygons based on reasoning about equal sides and angles. Describe positions on the first quadrant of a coordinate grid. Plot specified points and complete shapes. Identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changed. Geometry (angles) Know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles Draw given angles, and measure them in degrees (°) Identify angles at a point and one whole turn (total 360°) Identify angles at a point on a straight line and a turn (total 180°) large numbers and decimals to two decimal places. Add and subtract whole numbers with more than 4 digits and decimals with two decimal places, including using formal written methods. Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Select a mental strategy appropriate for the numbers involved in the calculation. Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why. ASSESS AND REVIEW WEEK Use the properties of rectangles to deduce related facts and missing lengths and angles. Identify 3-D shapes, including cubes and other cuboids, from 2-D representations. Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes. Distinguish between regular and irregular polygons based on reasoning about equal sides and angles. Describe positions on the first quadrant of a coordinate grid. Plot specified points and complete shapes. Identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changed. Addition and subtraction Add and subtract whole numbers with more than 4 digits and decimals with two decimal places, including using formal written methods (columnar addition and subtraction) Add and subtract numbers mentally with increasingly large numbers and decimals to two decimal places. Choose an appropriate volume and capacity) Solve problems involving converting between units of time. Use all four operations to solve problems involving measure (for example, mass, capacity and volume) using decimal notation, including scaling. Understand the difference between liquid volume, including capacity and solid volume. Understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints. Area and Volume of Shapes Calculate and compare the area of rectangles (including squares), and including using standard units, square centimetres (cm²) and square metres (m²) and estimate the area of irregular shapes. Understand the difference between liquid volume, including capacity and solid volume. Estimate volume (for example, using 1 cm³ blocks to build cuboids (including cubes)) and capacity (for example, using water). ASSESS AND REVIEW WEEK Identify other multiples of 90° strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Select a mental strategy appropriate for the numbers involved in the calculation. Use estimation and inverse to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy. Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why. Multiplication and Division Divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context. Multiply and divide whole numbers and those involving decimals by 10, 100 and 1000 Recognise and use square numbers and cube numbers, and the notation for squared (²) and cubed (³) Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method). Select a mental strategy appropriate for the numbers involved in the calculation. Solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates. Year 6
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