Brandhall Primary School. Maths Long Term Overview

Transcription

1 Brandhall Primary School Maths Long Term Overview Autumn 1 Autumn 2 Spring 1 Spring 2 Summer 1 Summer 2 Nurs. Throughout the 6 half-terms children in Nursery will follow six different topics (some children are part of the Spring intake and so will only experience 4 topics, some children are part of the Summer intake and might only experience 2 topics): Marvellous Me/ Where do I live?, Let s Celebrate, Toys, Traditional Tales, Environments and In the Garden. Through these topics, Mathematics will involve providing children with opportunities to develop and improve their skills in counting, understanding and using, calculating simple addition and subtraction problems; and to describe shapes, shapes and measures. The children follow the characteristics of effective teaching and learning: playing and exploring, active learning and creating and thinking critically. Rec. Throughout the 6 half-terms children in Reception will follow four different topics: Marvellous Me, Let s Celebrate, Big Wonderful World and beyond and All creatures great and small. Through these topics, Mathematics will continue to involve providing children with opportunities to develop and improve their skills in counting, understanding and using, calculating simple addition and subtraction problems; and to describe shapes, shapes and measures. The children follow the characteristics of effective teaching and learning: playing and exploring, active learning and creating and thinking critically. The children will work towards achieving the Early Learning Goals for Mathematics: * Numbers: Children count reliably with from 1 to 20, place them in order and say which number is one more or one less than a give number. Using quantities and objects, they add and subtract two single-digit and count on or back to find the answer. They solve problem, including doubling, halving and sharing. * Shape, space and measures: Children use everyday language to talk about size, weight, capacity, position, distance, time and money to compare quantities and objects and to solve problems. They recognise, create and describe patterns. They explore characteristics of everyday objects and shapes and use mathematical language to describe them. Yr. 1 * Count in ones to 10. * Count on and back in ones * Know number properties, * Count on and back in ones teen to 100 including odd and even to 100 * Count using one-to-one correspondence ( 12). * Count using one-to-one correspondence ( 20). * Estimate a set of objects ( 20) Say the number 1 more, i.e. the next number ( 10). * Find addition pairs to 5 and subitise to 5 then 6. * Find number bonds to 10 and subitise to 10. * Find the missing number in number sentences. * Double to 5 and find related halves Say the number 1 more ( 20). * Count on 1, 2, 3 more than up to and just beyond 20. * Say the number 1 less, i.e. the number before ( 10). * Order and compare to 20, using < and > * Order and compare 2- number between. Use language: equal to, more than, less/fewer than, most, least * Say ordinal ( 20) Find addition pairs to 5 and subitise to 5 then 6. * Find number bonds to 10 and subitise to 10 * Find addition pairs to 7 and subitise to 7 * Use number facts to 10 to solve problems including word problems Solve missing number problems involving addition and subtraction ( 10) * Understand place value in 2-digit by creating 2-digit, placing them on a number line and solving place value additions and subtractions * Recognise, read and write to 100 * Say the number 1 more ( 20) * Say the number 1 less ( * Count on 1, 2, 3 more than up to and just beyond 20 * Count back 1, 2, 3 from up to and just beyond 20 * Find number bonds to 10 and subitise to 10 * Find addition pairs to 5 and subitise to 5 then 6 * Find addition pairs to 7 and subitise to 7 * Count in 2s to 20 * Count in 10s to 100 * Count in 5s to 50. * Understand that a fraction is an equal part of a whole; 1/2s and 1/4s of shapes * Understand that two 1/2s = one whole * Understand that four 1/4s = one whole and two 1/4s = ½. * Find addition pairs to 8 and subitise to 8 * Find addition pairs to 9 and subitise to 9 * Find number bonds to 10 and subitise to 10 * Recall number facts to 20; number pairs (4 to 20) and bonds to 10 and 20 2-digit by creating 2-digit, placing and subtractions. * Add or subtract 10 from 2-digit. * Identify patterns in on a 100 square. and add to next multiple of 10, by counting on * Subtract 1-digit from 2- digit including 2- digit multiples of 10 by counting back * Add any pair of 1-digit using learned number facts. * Add several 1-digit * Understand place value in 2-digit by creating 2-digit, placing them on a number line and solving place value additions and subtractions * Order and compare 2- number between. Use language: equal to, more than, less/fewer than, most, least. * Know number properties, including odd and even. Count in 2s to 20 * Count in 10s to 100 * Count in 5s to 50 * Understand the link between multiplication and grouping * Double to 10 and find related halves. Identify patterns in on a 100 square

2 * Say the number 1 less ( 20). * Recognise, name and describe squares, rectangles, circles and triangles. * Begin to recognise basic line symmetry. * Sort 2D shapes into Venn diagrams using properties incl. symmetry. * Sort 2D shapes by number of sides and corners (incl. right angles) using Venn diagrams. * Sort basic 2D shapes according to their properties. * Use 2D shapes to create patterns. * Sort objects on to a Carroll diagram (two by two). * Read and write from 1 to 20 in digits and words. * Count in ones to 10. Order and compare to 12. * Order and compare to 20, using < and >. * Understand 0 as the empty set. * Estimate a set of objects ( 100) and count in 5s or 10s to check. * Describe position, direction and movements including half turns, using common words. * Compare lengths or heights using direct comparison * Compare and measure lengths or heights using non-standard uniform units * Choose and use appropriate standard units to measure lengths and heights in any direction. Count on 1, 2, 3 more than up to and just beyond 20 * Count back 1, 2, 3 from up to and just beyond 20 * Find number bonds to 10 and subitise to 10 * Add several 1-digit. * Double to 5 and find related halves. * Order and compare to 20, using < and >. teen. Recognise and know the value of 1p, 2p, 5p, 10p, 20p, 50p and 1 coins. * Recognise and know the value of 2 coins and 5, 10, 20, 50 notes. * Use number facts to 10 to solve problems including word problems * Find addition pairs to 8 and subitise to 8. * Understand a symbol being used for an unknown quantity * Solve missing number problems involving addition and subtraction ( 10) * Solve word problems involving addition and subtraction. * Double to 5 and find related halves. * Count on 1, 2, 3 more than up to and just beyond 20 and add to next multiple of 10, by counting on. * Recognise, name and describe cubes, spheres, cones, cuboids, pyramids * Sort 3D shapes according to their properties. * Sort objects on to a Venn diagram (two overlapping sets). * Begin to recognise units of time (minutes, hours, days, weeks, months, years). * Count on and back in 10s from any number up to 100. * Estimate a set of objects ( 100) and count in 5s or 10s to check. * Count in 10s to 100 * Count in 5s to 50. * Use number facts to 10 to solve problems including word problems. * Double to 10 and find related halves. * Solve word problems involving addition and subtraction. * Begin to recognise units of time (minutes, hours, days, weeks, months, years) * Sequence events in chronological order using appropriate language * Tell the time to the nearest hour using analogue and digital clocks * Tell the time to the nearest half hour using analogue and digital clocks * Identify appropriate units of time to measure a duration (minutes, hours, days, weeks, months, years) * Compare and measure lengths or heights using non-standard uniform units. and add to next multiple of 10, by counting on, bridging 10 and using known facts * Subtract 1-digit from 2- digit including 2- digit multiples of 10 by counting back. 2-digit by creating 2-digit, placing and subtractions. * Add or subtract 10 from 2-digit. * Compare weights using direct comparison * Compare and measure weights using non-standard uniform units * Compare, describe and solve practical problems involving capacities * Directly compare the capacities of two containers by pouring one into the other * Compare and measure the capacities of containers using uniform non-standard units. * Read, interpret and begin to create a simple block graph * Read and enter data in tables * Interpret and complete block graphs where 1 block represents 1 item. * Know number properties, including odd and even. * Double to 10 and find related halves * Double to 12 and find related halves * Count in 2s to 20 * Count in 10s to 100 * Count in 5s to 50. * Understand that a fraction is an equal part of a whole; 1/2s and 1/4s of shapes * Understand that four 1/4s = one whole and two 1/4s = ½. * Solve one-step problems involving multiplication and division using concrete objects, pictures and arrays with support. * Tell the time to the nearest hour using analogue and digital clocks * Tell the time to the nearest half hour using analogue and digital clocks * Tell the time to the nearest quarter of an hour using digital and analogue clocks * Recognise and use language relating to date, including days, weeks, months and years * Compare and measure lengths or heights using non-standard uniform units. * Find 1/2 of odd. Read, interpret and begin to create a simple pictogram * Interpret and complete pictograms where 1 symbol represents 1 item * Interpret and complete block graphs where 1 block represents 2 items. * Recognise, name and describe squares, rectangles, circles and triangles. * Use 2D shapes to create patterns * Create patterns using 3D shapes to print 2D shapes. Add 1-digit to 2-digit, bridging 10 and using known facts

3 * Count in 2s to 20. * Count on and back in 10s from any number up to 100. * Say the number 1 more ( 20). * Say the number 1 less ( 20). * Add or subtract 10 from 2-digit. * Recognise and know the value of 1p, 2p, 5p, 10p, 20p, 50p and 1 coins * Recognise and know the value of 2 coins and 5, 10, 20, 50 notes * Combine amounts to make particular values; match different combinations of coins to make equal amounts of money. * Subtract 1-digit from 2- digit, bridging 10 and using known facts * Find change from 10p and 20p by counting up. * Order and compare 2- number between. Use language: equal to, more than, less/fewer than, most, least * Understand place value in 2-digit by creating 2-digit, placing them on a number line and solving place value additions and subtractions * Count on and back in ones to 100 * Count on and back in 10s from any number up to 100. * Add or subtract 10 from 2-digit. Count in 2s to 20 * Count in 10s to 100 * Count in 5s to 50. * Add/subtract 2-digit to/from 2-digit by counting on/back Yr. 2 * Estimate a set of objects ( 100) and count in 5s or 10s to check 2-digit by creating 2-digit, placing and subtractions. * Order and compare 2-digit and say a number between. Use language: equal to, more than, less/fewer than, most, least * Begin to work systematically to find all possibilities. * Say ordinal ( 20) 2-digit by creating 2-digit, placing and subtractions. * Find possible amounts using a given number of coins (1p to 2). * Add or subtract 10 from 2-digit. multiples of 10 to and from a 2-digit number * Understand place value in 2-digit by creating 2-digit, placing them on a number line and solving place value additions and subtractions * Order and compare 2- number between. Use language: equal to, more than, less/fewer than, most, least. * Add or subtract 10 from 2-digit 9 and 11 to and from 2-digit. * Double to 12 and find related halves * Double to 20, including partitioning teen, and find related halves * Double and halve to 100, including partitioning 2-digit. * Find 1/2 of odd * Understand that a fraction is an equal part of a whole; 1/2s and 1/4s of shapes 2-digit by creating 2-digit, placing and subtractions * Order and compare 2- number between. Use language: equal to, more than, less/fewer than, most, least * Count in 1s beyond 100 * Recognise and read above 100. * Understand addition and subtraction as inverses of each other and use this to find relationships * Add several 1-digit * Find change from 10p and 20p by counting up. * Begin to write amounts of money as pounds and pence, with no placeholder 0 in the 10s.

4 * Find addition pairs to 6 and subitise to 6 * Find addition pairs to 7 and subitise to 7 * Find addition pairs to 8 and subitise to 8 * Find addition pairs to 9 and subitise to 9 * Find number bonds to 10 and subitise to 10 * Know the multiple of 10 bonds to 100 and use to derive the multiple of 5 bonds to 100 * Recall number facts to 20; number pairs (4 to 20) and bonds to 10 and 20. * Use inverse relationship between addition and subtraction to solve missing number problems * Begin to write word problems * Use place value and number facts to solve problems. * Double to 20, including partitioning teen, and find related halves. * Recall number facts to 20; number pairs (4 to 20) and bonds to 10 and 20, bridging 10 and using known facts * Subtract 1-digit from 2- digit including 2- digit multiples of 10 by counting back. * Begin to work systematically to find all possibilities * Subtract 1-digit from 2- digit including 2- digit multiples of 10 by counting back * Add/subtract 2-digit to/from 2-digit by counting on/back to reach the next multiple of 10. * Count on and back in 10s from any number up to 100. * Solve addition and subtraction problems using concrete objects and pictorial representations. * Describe position, direction and movements including half turns, using common words. * Choose and use appropriate standard units to measure lengths and heights in any direction * Solve simple problems by comparing and ordering lengths, weights (masses), capacities and record the results using <, >, and =. * Add/subtract 2-digit to/from 2-digit by counting on/back. * Add several 1-digit * Recall number facts to 20; number pairs (4 to 20) and bonds to 10 and 20. * Solve addition and subtraction problems using concrete objects and pictorial representations. * Find number bonds to 10 and subitise to 10, bridging 10 and using known facts * Recall number facts to 20; number pairs (4 to 20) and bonds to 10 and 20 to reach the next multiple of 10 * Subtract 2-digit from 2- digit by counting up. * Use place value and number facts to solve problems. to reach the next multiple of 10 * Subtract 2-digit from 2- digit by counting up * Find number bonds to 10 and subitise to 10 * Recall number facts to 20; number pairs (4 to 20) and bonds to 10 and 20 * Find change from 10p and 20p by counting up * Find change from 20p and 50p by counting up * Add/subtract 2-digit to/from 2-digit by counting on/back. * Use coins to solve simple problems involving addition, subtraction and giving change. * Give change using appropriate coins and calculating the amount to be given. * Understand the concept of a unit fraction; 1/2, 1/3, 1/4, 1/8 * Place 1/2s and 1/4s on a number line * Count in halves beyond 1 to 10 * Count in 1/4s beyond 1, not saying equivalent fractions. Count in 2s to 20 * Count in 10s to 100 * Count in 5s to 50 * Recall multiplication and division facts for the 10 table * Count in 2s and recall facts for the 2 table * Count in 5s and recall v Understand multiplication as repeated addition and as scaling * Multiply using arrays and friendly. * Solve multiplication and division problems using arrays, repeated addition and mental methods. * Tell the time to the nearest quarter of an hour using digital and analogue clocks. * Recognise and use language relating to date, including days, weeks, months and years * Identify appropriate units of time to measure duration (minutes, hours, days, weeks, months, years). * Begin to read and construct tally charts * Add/subtract 2-digit to/from 2-digit by counting on/back. * Add several 1-digit * Use number facts to 10 to solve problems including word problems * Recall number facts to 20; number pairs (4 to 20) and bonds to 10 and 20 to reach the next multiple of 10 * Subtract 2-digit from 2- digit by counting up * Find change from 20p and 50p by counting up. Use inverse relationship between addition and subtraction to solve missing number problems * Use place value and number facts to solve problems. Add 1-digit to 2-digit, bridging 10 and using known facts * Subtract 1-digit from 2- digit, bridging 10 and using known facts * Add/subtract 2-digit to/from 2-digit by counting on/back * Add pairs of 2-digit using partitioning (totals < 100) * Add pairs of 2-digit with a total 198. * Recognise and use symbols for pounds and pence. Record amounts using.p notation. * Solve a money problem in more than one way (five 1, 10p and 1p coins). * Count in 3s * Recall multiplication and division facts for the 3 table * Multiply using arrays and friendly * Understand that multiplication is commutative and use it in mental calculations * Understand the link between multiplication and grouping * Understand division as the inverse of multiplication * Recall multiplication and division facts for the 10 table * Count in 2s and recall facts for the 2 table * Count in 5s and recall facts for the 5 table. * Solve multiplication and division problems using arrays, repeated addition and mental methods * Solve missing number multiplications ( 2, 5 and 10 tables) * Solve simple problems in contexts. * Choose and use appropriate standard units

5 * Use inverse relationship between addition and subtraction to solve missing number problems. * Sort 2D shapes into Venn diagrams using properties incl. symmetry * Sort simple 2D shapes including kites, ovals, pentagons and hexagons according to their properties * Begin to identify right angles in pictures and shapes * Sort 2D shapes by number of sides and corners (incl. right angles) using Venn diagrams. * Identify right angles in 2D shapes * Recognise, name and describe squares, rectangles, circles and triangles * Recognise and name several 2D shapes and discover which tessellate. Understand that 2D shapes with straight sides are polygons and so identify polygons * Sort shapes and objects according to their properties using a 2-way Carroll diagram. 2-digit by creating 2-digit, placing and subtractions * Order and compare 2-digit and say a number between. Use language: equal * Double to 10 and find related halves. * Count in 2s to 20 * Count in 10s to 100 * Count in 5s to 50. * Combine amounts to make particular values; match different combinations of coins to make equal amounts of money. * Find possible amounts using a given number of coins (1p to 2). * Recognise, name and describe cubes, spheres, cones, cuboids, pyramids * Identify 2D shapes on the faces of 3D shapes, e.g. circle on a cone and triangle on a tetrahedron * Make cubes, cuboids and pyramids using modelling materials * Make cuboids, cubes, tetrahedra and pyramids from nets. * Describe positions using 3D shapes. * Tell the time to the nearest quarter of an hour using digital and analogue clocks. * Order and compare 2- number between. Use language: equal to, more than, less/fewer than, most, least * Understand place value in 2-digit by creating 2-digit, placing them on a number line and solving place value additions and subtractions * Round 2-digit up or down to the nearest 10 * Estimate a set of objects ( 100) and count in 5s or 10s to check. * Interpret and complete pictograms where 1 symbol represents 1 item * Interpret and complete block graphs where 1 block represents 1 item * Interpret and present data using bar charts where one division represents one unit * Read and enter data in tables * Interpret and complete pictograms where 1 symbol represents 2 items. * Recall multiplication and division facts for the 10 table * Multiply using arrays and friendly * Count in 2s and recall facts for the 2 table * Count in 5s and recall facts for the 5 table * Count in 3s * Count on and back in 4s * Understand the link between multiplication and grouping * Begin to understand division as 'how many groups of..?' * Understand multiplication as repeated addition and as scaling * Understand division as the inverse of multiplication. * Begin to work systematically to find all possibilities. * Compare and measure weights using non-standard uniform units * Choose and use appropriate standard units to measure weights (mass) * Solve simple problems by comparing and ordering lengths, weights (masses), capacities and record the results using <, >, and = * Read relevant scales to the nearest numbered unit * Compare and measure the capacities of containers using uniform non-standard units * Choose and use appropriate standard units to measure capacities. * Interpret and complete block graphs where 1 block represents 2 items. * Double multiples of 5 and 10 to 50 and find related halves * Double and halve to 100, including partitioning 2-digit * Begin to relate division to fractions using sharing. * Understand that a fraction is an equal part of a whole; 1/2s and 1/4s of lengths and * Find 1/2 and 1/4 of multiples of 2 and 4 up to 20 * Use fraction strips to find fractions of amounts * Find unit fractions of small. to measure lengths and heights in any direction * Read relevant scales to the nearest numbered unit * Tell the time to the nearest five minutes using digital and analogue clocks * Begin to say the time ten minutes, or twenty minutes, later or earlier. * Add pairs of 2-digit using partitioning (totals < 100) * Subtract 2-digit from 2- digit by counting up. * Count in 2s and recall facts for the 2 table * Count in 5s and recall facts for the 5 table * Recall multiplication and division facts for the 3 table * Recall multiplication and division facts for the 4 table * Understand multiplication as repeated addition and as scaling * Understand the link between multiplication and grouping * Begin to understand division as 'how many groups of..?' * Understand division as the inverse of multiplication. * Solve multiplication and division problems using

6 to, more than, less/fewer than, most, least * Count on and back in ones to 100 * Count on and back in 10s from any number up to 100. * Begin to work systematically to find all possibilities. * Add or subtract 10 from 2-digit. * Recognise and know the value of 1p, 2p, 5p, 10p, 20p, 50p and 1 coins * Recognise and know the value of 2 coins and 5, 10, 20, 50 notes * Combine amounts to make particular values; match different combinations of coins to make equal amounts of money * Recognise and use symbols for pounds and pence. Record amounts using.p notation arrays, repeated addition and mental methods * Begin to identify and use patterns to predict answers, and mathematical reasoning to explain them * Solve simple problems in contexts. * Order and compare 2- number between. Use language: equal to, more than, less/fewer than, most, least money of the same unit; solving money problems in a practical context. * Begin to write amounts of money as pounds and pence, with no placeholder 0 in the 10s * Write amounts of money as pounds and pence, including placeholder 0 in the 10s. * Find possible amounts using a given number of coins (1p to 2) * Use coins to solve simple problems involving addition, subtraction and giving change. * Add/subtract 2-digit to/from 2-digit by counting on/back * Recall and use facts for the 8x table. * Write and calculate mathematical statements for x and / using the * Understand place value in 2-digit by creating 2-digit, placing them on a number line and solving place value additions and subtractions * Understand place value in 3-digit by creating 3-digit, placing them on a number line and solving place value additions and subtractions. Know number bonds to 100 * Quickly work out or recall bonds to 100 and to the next 100. Yr. 3 * Count from 0 in multiples of 4, 8, 50 and 100. * Recognise the place value of each digit in a 3-digit number. * 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 3-digit number. * Compare and order up to * Recognise the place value of each digit in a 3-digit number. * Compare and order up to * Solve problems, including missing number problems, involving x and, including positive integer scaling problems and correspondence problems.

7 * Compare and order up to * Identify, represent and estimate using different representations. * Read and write up to 1000 in numerals and in words. mentally, including a 3-digit number and ones; a 3-digit number and tens and a 3 digit number and hundreds. * Estimate the answer to a calculation and use inverse operations to check answers. * Solve number problems and practical problems. * Draw 2D shapes and make 3D shapes using modelling materials; recognising 3d shapes in different orientations and describe them. * Recognise angles as a property of shape or a description of a turn. * Identify right angles. amounts of money to give change, using both and p in practical contexts. * Recognise the place value of each digit in a 3-digit number. mentally, including a 3-digit number and ones; a 3-digit number and tens and a 3 digit number and hundreds. * Solve number problems and practical problems. amounts of money to give change, using both and p in practical contexts. * Write and calculate mathematical statements for x and / using the multiplication tables that they know, including for 2- digit no s times 1-digit no s, using mental and progressing to formal written methods. * Tell and write the time from an analogue clock, including using Roman numerals from 1 to Xll, and 12-hour and 24 hour clocks. * Estimate and read time with increasing accuracy to the nearest minute, recording and compare time in terms of minutes and am/ pm. * Know the number of seconds in a minute. * Compare durations of events. * Interpret and present data using bar charts, pictograms and tables. * Solve one-step and twostep questions using information presented in * Identify, represent and estimate using different representations. * Read and write up to 1000 in numerals and in words. * Solve number problems and practical problems. * Measure, compare, add and subtract: lengths and mass. * Recognise, find and write fractions of a discrete set of objects. * Recognise and use fractions as. * Recognise and show, using diagrams equivalent fractions. s fractions with the same denominator. * Compare and order unit fractions and fractions with the same denominator. * Interpret and present data using bar charts, pictograms and tables. * Solve one-step and twostep questions using information presented in scaled bar charts and pictograms and tables. multiplication tables that they know, including for 2- digit no s times 1-digit no s, using mental and progressing to formal written methods. * Solve problems, including missing number problems, involving x and, including positive integer scaling problems and correspondence problems. * Tell and write the time from an analogue clock, 12- hour and 24 hour clocks. * Estimate and read time with increasing accuracy to the nearest minute, recording and compare time in terms of minutes. * Compare durations of events to calculate the time taken by particular events or tasks. * Recognise angles as a property of shape or a description of a turn. * Identify right angles. * Identify, represent and estimate using different representations. * Solve number problems and practical problems. mentally, including a 3-digit number and ones; a 3-digit number and tens and a 3 digit number and hundreds. with up to 3 digits, using formal written methods of columnar 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. * Recall and use facts for 8 and 10 x tables. * Write and calculate mathematical statements for x and / using the multiplication tables that they know, including for 2- digit no s times 1-digit no s, using mental and progressing to formal written methods. * Measure, compare, add and subtract: capacity and length. *Measure the perimeter of simple 2D shapes. amounts of money to give with up to 3 digits, using formal written methods of columnar addition and subtraction. mentally, including a 3-digit number and ones; a 3-digit number and tens and a 3 digit number and hundreds. * 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. amounts of money to give change, using both and p in practical contexts. * Solve number problems and practical problems. * Draw 2D shapes and make 3D shapes using modelling materials; recognising 3d shapes in different orientations and describe them. * Recognise angles as a property of shape or a description of a turn. * Identify right angels, 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.

8 scaled bar charts and pictograms and tables. change, using both and p in practical contexts. * Tell and write the time from an analogue clock, including using Roman numerals from 1 to Xll, and 12-hour and 24 hour clocks. * Estimate and read time with increasing accuracy to the nearest minute, recording and compare time in terms of minutes and am/ pm. * Compare durations of events. * Order and compare 4- number between * Identify pairs of perpendicular and parallel lines. Yr. 4 * Know number bonds to 100 * Add to the next multiple of 100 by counting up from any 2-digit or 3-digit number * Quickly work out or recall bonds to 100 and to the next 100 * Subtract a 3-digit from a 3-digit number (with a difference < 50) by counting up * Add mentally several 1- digit, multiples of 10 or 100. * Organise work in a logical way * Check that all solutions have been found. 4-digit by creating 4-digit, placing and subtractions * Order and compare 4-digit and say a number between. * Double and halve 3-digit by partitioning. * Describe, predict and explain patterns. * Find unit fractions of amounts and relate to division * Begin to understand equivalence by placing fractions on a number line * Develop an understanding of equivalence in fractions; 1/2s, 1/3s, 1/4s, 1/5s, 1/6s, 1/8s, 1/10s * Identify the equivalent fraction for any given fraction * Use equivalence to reduce fractions to their simplest form * Count in 1/4s beyond 1 to 10, saying equivalent fractions * Count in fractions, including equivalents. * Match 1-place decimals to 1/10s * Understand place value in 4-digit by creating 4-digit, placing them on a number line and solving place value additions and subtractions * Round 4-digit up or down to the nearest 10, 100 or 1000 * Use place value to add and subtract multiples of 10, 100 and 1000 to and from 4-digit * Count on and back in 50s * Count above 1000 in 1s and 100s * Count beyond 1000 in 10s * Count in 1s, 10s and 100s, across multiples of 100 and 1000 * Count in 50s and 25s, using the 100s count. * Describe, predict and explain patterns. * Use expanded 3-digit from 3-digit * Match 1-place decimals to 1/10s * Locate and write 1-place decimals on a number line and match to 1/10s * Count in decimal steps of 0 1 (tenths) * Round 1-place decimals to the nearest integer, by placing on a number line * Round 1- and 2-place decimals up and down to the nearest whole number * Divide integers by 10, 100 and 1000 to get 1-place decimal answers. Divide 2-digit by 10 to get 1-place decimal answers * Divide 3-digit multiples of 10 by 100 to get 1-place decimal answers * Understand the effect of multiplying or dividing a given number by 10, 100 or 1000; answers < and with not more than 2 decimal places. 4-digit by creating 4-digit, placing and subtractions * Use place value to add and subtract multiples of 10, 100 and 1000 to and from 4-digit 5-digit by creating 5-digit, placing and subtractions * Order and compare 5- number between * Use place value to add and subtract multiples of 10, 100, 1000 and to and * Locate negative on a number line and relate to temperature * Add mentally 2-digit to 3-digit by partitioning or counting on add 2-digit, 3-digit and 4- digit * Add to the next multiple of 100 by counting up from any 2-digit or 3-digit number * Count up to subtract any 3-digit from 3-digit number * Subtract 4-digit from 4- digit multiples of 1000 by counting up, * Use doubling and halving to multiply and divide by 4 and 8 and solve correspondence problems * Identify factors and multiples, and begin to find common factors. * Solve integer scaling problems and harder correspondence problems, such as n objects are connected to m objects.

9 * Add pairs of 2-digit with a total 198 * Add pairs of 2-digit using partitioning (totals < 100) * Subtract 2-digit from 2- digit by counting up * Subtract a 3-digit from a 3-digit number (with a difference < 50) by counting up. * Count in 6s and recall facts for the 6 table * Count in 9s and recall facts for the 9 table * Multiply multiples of 10 by 1-digit * Multiply mentally 2-digit by 1-digit using partitioning. * Describe, predict and explain patterns. * Use known tables and place value to multiply 2- digit by 1-digit with the grid method. * Find unit fractions of amounts and relate to division. * Write and tell the time to the nearest minute using analogue and digital clocks * Compare durations of events to calculate the time taken by particular events or Begin to convert between different units of measure tasks * Measure, compare, add and subtract lengths or heights using m/cm/mm. * Locate and write 1-place decimals on a number line and match to 1/10s * Divide integers by 10, 100 and 1000 to get 1-place decimal answers. * Divide 2-digit by 10 to get 1-place decimal answers. * Use column addition to add two 4-digit with a total * Use column addition to add two 4-digit with answers > * Match 1-place decimals to 1/10s. * Read relevant scales to the nearest numbered unit * Measure, compare, add and subtract weights (masses) using kg/g * Begin to convert between different units of measure * Measure, compare, add and subtract capacities or volumes using l/ml. * Draw and interpret bar charts where 1 division represents 100 units * Interpret and present data in bar charts where 1 division represents 2 units * Draw and interpret bar charts where 1 division represents 5 or 10 units * Interpret and present discrete data using bar charts, using an appropriate scale. * Use, explain and justify mathematical reasoning * Solve simple measure and money problems involving * Use compact 3-digit from 3-digit * Subtract 2-digit from 3- digit using expanded or compact decomposition. * Understand that multiplication is commutative and use it in mental calculations * Count in 7s and recall facts for the 7 table. * Multiply 2- and 3-digit by 1-digit using the ladder method. * Solve simple measure and money problems involving fractions and decimals up to 2 decimal places. * Estimate, compare and calculate different measures, including money in pounds and pence * Use doubling and halving to multiply and divide by 4 and 8 and solve correspondence problems * Double and halve 3-digit by partitioning solve multiplications including multiplying by 0 and 1, dividing by 1, multiplying together three solve divisions including dividing by 1. * Find fractions of amounts and relate to division and multiplication * Use, explain and justify mathematical reasoning * Solve addition and subtraction two-step problems in contexts * Solve number and practical problems with increasingly large positive. * Use column addition to add two 4-digit with answers > * Add mentally several amounts of money. * Use column addition to add several 2-digit * Use column addition to add several 3-digit with a total > 1000 * Use compact 3-digit from 3-digit. add amounts of money with 2 decimal places * Count up to subtract any 3-digit from 3-digit number * Use place value to subtract amounts of money and calculate price decreases. amounts of money to give change, using pounds and pence. * Organise work in a logical way * Use, explain and justify mathematical reasoning. * Solve number and practical problems with increasingly large positive. * Find more or less than a given negative number and relate to temperature. * Use, explain and justify mathematical reasoning. * Work out what number to add to a 1-place decimal to make the next whole number. * Match 1-place decimals to 1/10s * Divide integers by 10, 100 and 1000 to get 1-place decimal answers * Match 2-place decimals to 1/100s, using a place value grid * Multiply and divide by 10 and 100 to give 1- or 2-place decimal answers * Understand tenths (1/10s) as fractions and place them on a line * Locate and write 1-place decimals on a number line and match to 1/10s * Count in decimal steps of 0 1 (tenths) * Locate and write 2- place decimals on a number line using length as a context * Use place value to add and subtract 0 1 and 0 01 to and from decimal * Round 1- and 2-place decimals up and down to the nearest whole number. * Multiply mentally 2-digit by 1-digit using partitioning * Solve addition and subtraction two-step problems in contexts. * Use column addition to add two 4-digit with a total * Use column addition to add pairs of 2-place decimals, including amounts of money * Use expanded or compact decomposition to subtract with up to 4-digits. * Use column addition to add several with up to 4-digits with answers > * Use compact 2-, 3- or 4-digit from 4- digit. * Use, explain and justify mathematical reasoning * Solve addition and subtraction two-step problems in contexts * Solve simple measure and money problems involving fractions and decimals up to 2 decimal places. * Use counting up to subtract 4-digit from near multiples of 1000 * Use counting up as an efficient mental strategy with minimal jottings * Understand addition and subtraction as inverses of each other and use this to find relationships * Count up to find change from 10, 50 and 100.

10 * Add pairs of 2-digit using partitioning (totals < 100). * Understand 2-place decimals in the context of money and length, recognise and write decimal equivalents to 1/4; 1/2; 3/4 * Relate 1-place decimals to 2-place decimals in the context of length (m and cm). * Use compact column addition to add pairs of 3- digit with a total < * Use column addition to add three 3-digit with a total < 1000 * Use expanded 3-digit from 3-digit. fractions and decimals up to 2 decimal places. * Round 4-digit up or down to the nearest 10, 100 or * Use expanded 3-digit from 3-digit. * Count up to subtract any 3-digit from 3-digit number. * Multiply mentally multiples of 100 by 1-digit. * Multiply 2 and 3-digit by 1-digit. * Divide just beyond the tables by subtracting the multiple of 10 * Divide just beyond the tables, with integer remainders. * Describe, predict and explain patterns. * Understand unit and nonunit fractions with denominators 12 * Develop an understanding of equivalence in fractions; 1/2s, 1/3s, 1/4s, 1/5s, 1/6s, 1/8s, 1/10s * Identify the equivalent fraction for any given fraction * Begin to understand equivalence by placing fractions on a number line * Use equivalence to reduce fractions to their simplest form. * Solve simple measure and money problems involving fractions and decimals up to 2 decimal places. * Estimate and measure angles, recognising that they are measured in degrees * Compare and classify acute and obtuse angles; order angles up to 180 * Draw horizontal, perpendicular and parallel lines of a given length * Identify line symmetry in 2D shapes presented in different orientations * Classify 2D shapes according to their properties: right angles, lines of symmetry, parallel and perpendicular lines * Draw shapes with specified properties: a right angle, two perpendicular lines, two parallel lines * Use vocabulary such as morning, afternoon, noon, and midnight; also am and pm times and 12 hour clocks * Use 24 hour clocks * Read, write and convert time between analogue and digital 12 and 24 hour clocks * Measure and calculate the perimeter of rectilinear figures in cm and m * Measure and calculate the perimeter of composite rectilinear shapes in m/cm * Measure, compare, add and subtract lengths or heights using m/cm/mm * Convert between different units of measure, e.g. kilometres to metres, metres to centimetres, etc. * Solve simple measure and money problems involving fractions and decimals up to 2 decimal places. 4-digit by creating 4-digit, placing and subtractions. * Use expanded or compact with up to 4-digits. Use mental strategies to add 2-digit, 3-digit and 4- digit * Use counting up as an efficient mental strategy with minimal jottings. * Multiply 2- and 3-digit by 1-digit using the ladder method * Recall multiplication and division facts for the 11 and 12 tables * Multiply mentally multiples of 100 by 1-digit * Double and halve 3-digit by partitioning * Multiply multiples and near multiples of 10 and 100 by 1-digit * Divide mentally just beyond the tables by subtracting the multiple of 10 (no remainders) * Understand multiplication and division as inverses of each other and use this to find relationships. * Describe, predict and explain patterns * Solve number and practical problems with increasingly large positive * Solve simple measure and money problems involving fractions and decimals up to 2 decimal places. * Round 3-digit up or down to the nearest 100 and 10. * Multiply 2- and 3-digit by 1-digit using the ladder method * Divide 2- and 3-digit by 1- digit using a written method drawn from mental strategies with integer remainders and answers between 10 and 20 * Divide 3-digit by 1-digit using a written method drawn from mental Describe positions on a 2- dimensional grid as coordinates (1st quadrant) * Plot points and draw sides to complete a polygon on a co-ordinate grid (1st quadrant) * Describe movements between positions as translations of a given unit to left/right or up/down * Identify and describe the position of a shape on a co-ordinate grid following a translation. * Interpret and compare information on a pictogram and represent it on a bar chart * Draw and interpret bar charts where 1 division represents 5 or 10 units * Solve comparison and difference problems using information presented in bar charts * Use a line graph to represent the effect of multiplying any number by 6 (e.g ) * Interpret and present continuous data using line graphs. Multiply 2- and 3-digit by 1-digit using the ladder method * Divide 2- and 3-digit by 1-digit using a written method drawn from mental strategies with integer remainders and answers between 10 and 20.

11 * Recognise and begin to complete symmetrical 2D shapes * Complete a symmetric figure with a given line of symmetry. * Use, explain and justify mathematical reasoning. * Understand division as the inverse of multiplication * Identify factors and multiples, and begin to find common factors * Use knowledge of multiples and factors in relation to large. * Divide 2- and 3-digit by 1-digit using a written method drawn from mental strategies with integer remainders and answers between 10 and 20. * Subtract 4-digit from 4- digit multiples of 1000 by counting up * Use number facts to add to the next multiple of 100 or 1000 * Find change from 5, 10 and 20 by counting up * Count up to find change from 10, 50 and 100. * Describe, predict and explain patterns. * Divide 2- and 3-digit by 1- digit using a written method drawn from mental strategies with integer remainders and answers between 10 and 20 * Divide 3-digit by 1-digit using a written method drawn from mental strategies with integer remainders and answers < 50. * Describe, predict and explain patterns * Solve addition and subtraction two-step problems in contexts. add 2-digit, 3-digit and 4- digit. * Use column addition to add two 4-digit with a total strategies with integer remainders and answers < 50. * Estimate, compare and calculate different measures, including money in pounds and pence. Read Roman numerals to 1000 (M) and recognise dates. * Find the area of rectilinear shapes by counting squares * Calculate and compare areas of squares and rectangles using standard units * Measure and calculate the perimeter of rectilinear figures in cm and m. * Compare and classify squares, rectangles and triangles based on their properties and sizes * Compare and classify regular polygons and some irregular polygons based on properties and sizes * Compare and classify triangles, according to their properties * Compare and classify quadrilaterals according to their properties * Recognise and identify 3D shapes, including cones, spheres, pyramids, triangular prisms, cubes, and cuboids * Identify 2D shapes on the faces of 3D shapes, e.g. circle on a cone and triangle on a tetrahedron * Solve number and practical problems with increasingly large positive * Sustain a line of enquiry, make and test a hypothesis harder fractions to calculate and divide quantities. solve divisions including dividing by 1. * Find any fraction of an amount and relate to division and multiplication fractions with the same denominator * Convert mixed to improper fractions and vice versa. * Use place value to multiply and divide by 10 and 100, involving 2-place decimals * Multiply and divide by 10 and 100 to give 1- or 2-place decimal answers. solve multiplications including multiplying by 0 and 1, dividing by 1, multiplying together three * Understand as inverses of each other and use this to find relationships * Divide mentally just beyond the tables by

12 * Sort and categorise 3D shapes according to the number of faces, vertices and edges. * Understand 2-place decimals in the context of money and length, recognise and write decimal equivalents to 1/4; 1/2; 3/4 * Locate and write 2- place decimals on a number line using length as a context * Order and compare 1- and 2-place decimals and find a number between * Use place value to add and subtract 0 1 and 0 01 to and from decimal. * Solve simple measure and money problems involving fractions and decimals up to 2 decimal places * Check that all solutions have been found harder fractions to calculate and divide quantities. * Know fraction complements to 1 (fractions with denominators 12) * Develop an understanding of equivalence in fractions; 1/2s, 1/3s, 1/4s, 1/5s, 1/6s, 1/8s, 1/10s. subtracting the multiple of 10 (no remainders). Describe, predict and explain patterns * Solve simple measure and money problems involving fractions and decimals up to 2 decimal places harder fractions to calculate and divide quantities. * Use the grid method to multiply 2-digit by 2-digit and solve problems in which n objects are connected to m objects (distributive law). * Divide 3-digit by 1-digit using a written method drawn from mental strategies with integer remainders and answers < 50. * Divide 2- and 3-digit by 1-digit using a written method drawn from mental strategies with integer remainders and answers between 10 and 20. * Find any fraction of an amount and relate to division and multiplication * Use division and multiplication to find nonunit fractions of larger amounts (whole-number answers). * Identify factors and multiples, and begin to find common factors. Solve problems involving Yr. 5 5-digit by creating 5-digit, placing * Apply divisibility tests for 2, 3, 4, 5, 6, 9, 10 and 25 * Understand place value in 6-digit by creating 6-digit, placing them on a number * Multiply 2-digit by 2-digit and solve problems in which n objects are connected to m objects (distributive law) * Use place value to add near integers including amounts of money

13 and subtractions * Order and compare 5-digit and say a number between. * Use column addition to add two 4-digit with answers > * Sustain a line of enquiry, make and test a hypothesis. * Add/subtract 2-digit to/from 2-digit by counting on/back * Add pairs of 2-digit with a total 198 * Subtract 2-digit from 2- digit by counting up * Use number facts to 10 to solve problems including word problems * Count up to subtract any 3-digit from 3-digit number * Use counting up to subtract 4-digit from near multiples of 1000 add 2-digit, 3-digit and 4- digit * Use counting up as an efficient mental strategy with minimal jottings. 3-digit by creating 3-digit, placing and subtractions. * Match 2-place decimals to 1/100s, using a place value grid * Use place value to multiply and divide by 10 * Recognise common factors and relate these to common multiples * Identify factors and multiples, and begin to find common factors. * Compare and order unit fractions and related fractions, using fraction walls and strips * Place mixed fractions on a number line to compare fractions with the same denominator * Use equivalent fractions to reduce any given fraction to its simplest form. * Understand multiplication and division as inverses of each other and use this to find relationships * Multiply and divide multiples of 10, 100 and 1000 by 1-digit. * Multiply 2- and 3-digit by 1-digit using the ladder method * Use the ladder method to multiply 4-digit by 1-digit * Divide 3-digit by 1-digit using a written method drawn from mental strategies with integer remainders and answers < 50 * Divide 3-digit by 1-digit using a written method drawn from mental strategies with answers > 50, and give answers as appropriate line and solving place value additions and subtractions * Order and compare 6- number between * Understand the effect of multiplying or dividing a given number by 10, 100 or 1000; answers < and with not more than 2 decimal places. * Multiply and divide by 10 and 100 to give 1- or 2-place decimal answers. * Use place value to add and subtract 0 1 and 0 01 to and from decimal * Round 1- and 2-place decimals up and down to the nearest whole number * Round 2-place decimals up or down to the nearest tenth. * Use mathematical reasoning to explain findings, patterns and relationships. add 2-digit, 3-digit and 4- digit * Add any pair of 1-place decimals * Work out what number to add to a 2-place decimal to make the next whole number * Understand addition and subtraction as inverses of each other and use this to find relationships MAS.60 Use counting up to subtract 4-digit * Use short division to divide 3-digit by 1-digit with no remainders * Understand when it is appropriate to round up or down after division * Use short division to divide 3-digit by 1-digit with integer remainders. * Use short division to divide 3-digit by 1-digit with no remainders * Use short multiplication to multiply 3-digit by 1-digit * Use short multiplication to multiply 4-digit by 1-digit. * Understand fractions as operators and relate this to division; find non-unit fractions of large. * Understand that 2D shapes with straight sides are polygons and so identify polygons * Identify parallel and perpendicular lines in 2D shapes * Compare and classify acute and obtuse angles; order angles up to 180 * Compare angles up to 360, including reflex angles * Compare and classify quadrilaterals according to their properties GPS.62 Recognise that angles on a straight line total 180 and angles round a point total 360 GPS.64 Distinguish between regular and irregular add amounts of money with 2 decimal places * Use number facts to add several amounts of money * Use counting up strategies to quickly calculate change * Use place value to subtract near integers including amounts of money. * Round 1- and 2-place decimals up and down to the nearest whole number. * Solve addition and subtraction two-step problems in contexts * Solve addition and subtraction multi-step problems, deciding which operations and methods to use and why. * Convert mixed to improper fractions and vice versa * Multiply fractions by whole * Use the grid method to multiply mixed by integers. * Identify patterns, devise and test rules and use them to make predictions. * Use short multiplication to multiply 3-digit then 4 digit by 1-digit * Use long multiplication to multiply 2-digit and 3-digit by 2-digit (friendly ) * Begin to use long multiplication to multiply 2- including using their knowledge of factors and multiples, squares and cubes * Pursue a line of enquiry. * Recognise the equivalence of simple fractions and decimals * Use equivalence to compare and order fractions that don't have the same denominator but are related * Use equivalence to add and subtract related fractions * Multiply fractions by whole * Use the grid method to multiply mixed by integers. * Use short division to divide 3-digit by 1-digit then 4-digit by 1-digit with integer remainders * Understand that division can result in integer remainders, mixed (e.g. 34 1/4), or answers accurate to one or two decimal places * Begin to use long multiplication to multiply 2-digit, 3-digit and 4-digit by teens.