# Lesson 3 Compare and order 5-digit numbers; Use < and > signs to compare 5-digit numbers (S: Bonds to 100)

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2 3 Decimals, percentages and their equivalence to fractions (DPE); Number and placevalue (NPV); Mental division (MMD) 4 Measurement (MEA) Understand place-value in decimal numbers; multiply and divide numbers with up to two decimal places by 10 and 100; multiply and divide by 0 and 100; add and subtract 0 1 and 0 01; multiply and divide by 4 by doubling or halving twice; use mental multiplication strategies to multiply by 20, 25 and 9 Revise converting 12- hour clock times to 24- hour clock times; find a time a given number of minutes or hours and minutes later; calculate time intervals using 24- hour clock format; measure lengths in mm and convert to cm; find perimeters in cm and convert cm to m Lesson 11 Place-value in decimal numbers (S: Compare 5-digit numbers) Lesson 12 Multiply and divide numbers with up to 2 decimal places by 10 and 100 (S: Place-value with two decimal places) Lesson 13 Multiply and divide by 10 and 100; Add and subtract 0 1 and 0 01 (S: Count in 0 1s forward and back) Lesson 14 Multiply and divide by 4 by doubling or halving twice (S: More doubles and halves) Lesson 15 Using mental multiplication strategies to multiply by 20, 25 and 9 (S: Times-tables) Lesson 16 Revise converting 12-hour clock times to 24-hour clock times (S: 4 and 8 times-tables) Lesson 17 Find the time a given number of minutes, or hours and minutes, later, e.g. 1 hour 25 minutes after 13:45 (S: 2D shape) Lesson 18 Calculate time intervals using 24-hour clock format (S: Draw a line to a given length) Lesson 19 Measure lengths in mm and convert to cm (S: Add and subtract pairs of 2-digit numbers) Lesson 20 Find perimeters in cm; Convert cm to m (S: Convert pm times to 24-hour clock time) answer word problems using correct calculation. know the value of each digit in a number with two decimal places write and solve mathematical puzzles using clues. multiply and divide by 10 and 100, giving answers with no, 1 or 2 decimal places, explaining the effect. add and subtract 0 1 to/from number with one decimal place begin to add and subtract 0 01 to/from number with one or two decimal places. multiply 2- and 3-digit numbers by 4 by doubling twice divide even 2- and 3-digit numbers by 4 by halving twice. use mental multiplication strategies to multiply by 20, 25 and 9 use the fact that multiplication can be done in any order. convert between 12-hour clock times and 24-hour times write digital times correctly. find a time a given number of minutes or hours and minute later, e.g. 1 hour 25 minutes after 13:45. read a timetable using 24-hour times calculate time intervals of more than an hour. measure lengths to the nearest mm convert between mm and cm. find perimeters in cm convert cm to m. 5 Written addition and subtraction (WAS); Mental addition and subtraction (MAS) Solve subtraction using a written method for 3- digit 3-digit numbers and for 4-digit numbers; use counting up (Frog) Lesson 21 Solve 3-digit 3-digit subtraction using written method (S: Subtracting single-digit numbers from teen numbers) Lesson 22 Solve 3-digit 3-digit subtraction using written method (S: 3-digit 2-digit multiples of ten) subtract using a written method. solve written subtractions of 3-digit numbers where they have to move a ten and a hundred.

3 as a strategy to perform mental subtraction; find change from a multiple of ten pounds using counting up Autumn 2 Week Strands Weekly summary 6 Mental division (MMD); Recognise which numbers are divisible by 2, 3, 4, 5, 6, 9 and 25 Fractions, ratio and and identify multiples; proportion (FRP) find factors; compare and place fractions on a line; find equivalent fractions and reduce them to their simplest form 7 Number and placevalue (NPV); Written division (WMD) Use mental strategies to multiply and divide multiples of 10 and 100; use a written method to multiply 3-digit and 4- digit numbers by 1-digit numbers and estimate answers, divide 3-digit numbers by 1-digit numbers using a written method and express remainders as a fraction Lesson 23 Solve written subtractions of 4-digit numbers (S: Adding to the next ten and next hundred) Lesson 24 Using counting up (Frog) as a strategy to perform mental subtraction (S: Bonds to 100) Lesson 25 Find change from a multiple of ten pounds using counting up (S: Adding to the next pound) solve written subtractions of 4-digit numbers check subtraction with addition. subtract 3- and 4-digit numbers using counting up begin to recognise that we should use different methods to subtract depending on the numbers. find change from a multiple of ten pounds using counting up. Lesson 26 Recognise which numbers are divisible by 2, 3, 4, 5, 6, 9 and 25; Multiples and factors (S: 3 and 6 times-tables) recognise multiples of 2, 3, 4, 5, 6, 9 and 25. Lesson 27 Find factors of numbers to at least 40 (S: 7 times-table) find factors of numbers to at least 30. Lesson 28 Compare pairs of fractions, e.g. 1 / 6 > 1 / 9 and 2 1 / 3 > 2 1 / 4 ; Place fractions on a line (S: Count in steps of 1 / 4 saying the compare pairs of fractions with the same numerator halves) begin to compare pairs of fractions with different denominators place fractions on a line. Lesson 29 Find equivalent fractions; Reduce fractions to their recognise equivalent fractions simplest form (S: Find fractions with a total of 1) begin to reduce fractions to their simplest form. Lesson 30 Reduce fractions to their simplest form (S: Convert between 12-hour and 24-clock) reduce fractions to their simplest form. Lesson 31 Use mental strategies to multiply and divide multiples use multiplication facts and place-value to of 10 and 100 (S: Double 2- and 3-digit numbers) multiply and divide multiples of 10 and Lesson 32 Use a written method to multiply 3-digit and 4-digit numbers by 1-digit numbers (S: Multiply multiples of 100 and 1000 by 1-digit numbers) Lesson 33 Use a written method to multiply 3-digit and 4-digit numbers by 1-digit numbers; Estimate the answers (S: Halve 2- and 3-digit numbers) Lesson 34 Divide 3-digit numbers by 1-digit numbers using a written method (S: Multiply multiples of 10 by multiples of 10) 100. multiply 3-digit and 4-digit numbers by 1- digit numbers using a written method. use a written method to multiply 3-digit and 4-digit numbers by 1-digit numbers use rounding to estimate the answers. use mental strategies and jottings to divide 3-digit numbers by 1-digit numbers, including those leaving a remainder spot and explain patterns and relationships.

4 8 Geometry: properties of shapes (GPS) 9 Number and placevalue (NPV); Fractions, ratio and proportion (FRP); Decimals, percentages and their equivalence to fractions (DPE) Use a protractor to measure and draw angles in degrees; recognise, use terms and classify angles as obtuse, acute and reflex; recognise that angles on a line total 180 and angles round a point total 360 ; identify and name parts of a circle including diameter, radius and circumference; draw circles to a given radius using a pair of compasses; relate angles to turns, and recognise that a 360 angle is a complete turn; use angle facts to solve problems related to turn Place numbers to and decimals up to two places on a line, round numbers to the nearest 10, 100 and 1000 and decimals up to two places to the nearest whole number; compare and order numbers with up to two decimal places; reduce fractions to their simplest form; Lesson 35 Divide 3-digit numbers by 1-digit numbers using a written method; Express remainders as a fraction (S: Reduce fractions to their simplest forms) Lesson 36 Use a protractor to measure angles in degrees; Know a protractor is used to measure angles and we measure these in degrees; Recognise and use terms obtuse, acute and reflex angles (S: Placing 4-digit numbers on a 0 10,000 line) Lesson 37 Measure angles in degrees using a protractor; Draw angles to nearest degree using a protractor; Classify angles as acute, obtuse or reflex (S: Convert measurements in metres to centimetres and vice-versa) Lesson 38 Recognise that angles on a line total 180 and angles round a point total 360 Use a protractor to measure and draw angles in degrees (S: Calculating time intervals using 24-hour clock) Lesson 39 Identify and name parts of a circle including diameter, radius and circumference; Draw arcs and circles to a given radius using a pair of compasses (S: Angles on a line add to 180 ) Lesson 40 Relate angles to turns, and recognise that a 360 angle is a complete turn; Use the fact that angles round a point add to 360 and angles on a straight line add to 180 to solve problems related to turn (S: Angles round a point add to 360 ) Lesson 41 Place numbers to 100,000 on a line; Round numbers to the nearest 10, 100 and 1000 (S: Place 4-digit numbers on a line) Lesson 42 Place decimals up to two places on a line; Round decimals up to two places to the nearest whole (S: Count on and back in steps of 0 1) Lesson 43 Compare and order numbers with up to two decimal places (S: Round 5-digit numbers to the nearest 100 or 1000) numbers and write a number with two use mental strategies and jottings to divide 3-digit numbers by 1-digit numbers, expressing the remainder as a fraction of the divisor. measure angles in degrees using a protractor classify angles as acute, obtuse or reflex. use a protractor to draw angles of a given size (in degrees) measure angles using a protractor (in degrees) classify angles as acute, obtuse and reflex. know that angles on a line total 180 know that angles around a point total 360. name circumference, diameter and radius and measure using rulers (and string) use a pair of compasses to draw a circle to a given radius. recognise that we measure angles of turn use a protractor to measure and draw angles in degrees use counting up and knowledge that angles on a line total 180 and angles round a point total 360 to work out missing angles. place 5-digit numbers on a number line round 5-digit numbers to the nearest 10, 100 and place numbers with one and two decimal places on a line round 1-place and 2-place decimals to the nearest whole. compare and order numbers with one and two decimal places write a number with one decimal place between two neighbouring whole

7 13 Number and placevalue (NPV); Mental division (MMD); Measurement (MEA) 14 Geometry: properties of shapes (GPS); Measurement (MEA) Use rules of divisibility to find if numbers are divisible by 2, 3, 4, 5, 9 and 10; identity prime numbers; revise finding factors of numbers; find squares and square roots of square numbers; make and test rules; use mental division strategies; relate mental division strategies to multiples of ten of the divisor Know properties of equilateral, isosceles, scalene and right-angled triangles; find that angles in a triangle have a total of 180 ; sort triangles according to their properties; use scales to weigh amounts to the nearest half interval; convert from grams to kilograms and vice versa, from millilitres to litres and vice versa, and from metres to kilometres and vice versa; read scales to the nearest half division; understand that we measure distance in kilometres and miles; use ready reckoning to give approximate values of miles in kilometres and vice versa; draw line conversion graphs Lesson 61 Use rules of divisibility to find if numbers are divisible by 2, 3, 4, 5, 9 and 10 (S: Division facts for the 12 times-table) use rules of divisibility to find if numbers are divisible by 2, 3, 4, 5, 9 and 10. Lesson 62 Identity prime numbers and revise finding factors of find prime numbers numbers (S: All times-tables to 12 12) find factor pairs for numbers up to 50. Lesson 63 Find square numbers and square roots, making and find square numbers testing rules (S: Factors) begin to find square roots find a pattern, come up with a rule and test it out. Lesson 64 Use mental multiplication strategies (S: Multiples) use multiplication facts and place-value to work out multiplication mentally. Lesson 65 Use mental strategies to divide numbers (S: 2D shapes) use mental strategies such as chunking to divide mentally spot multiples of the divisor in the number being divided. Lesson 66 Properties of triangles, and find that angles in a triangle have a total of 180 (S: Write equivalent multiplications) Lesson 67 Properties of scalene and right-angled triangles, and sort triangles according to their properties (S: Rounding and placing whole numbers on a number line) Lesson 68 Use scales to weigh amounts to the nearest half interval, convert from grams to kilograms and vice versa (S: Draw a rectangle to a given perimeter) Lesson 69 Read scales to the nearest half division, convert from millilitres to litres and vice versa (S: Negative numbers) Lesson 70 Understand that we measure distance in kilometres and miles, convert from metres to kilometres and vice versa; Use ready reckoning to give approximate values of miles in kilometres and vice versa, and draw line conversion graphs (S: Temperature bar graphs) identify different types of triangle know that the angles in a triangle add up to 180 use a protractor to measure angles less than 180. sort triangles using a Venn diagram describe the properties of triangles. convert between kilograms and grams. use scales to weigh items to the nearest half division. read scales to the nearest half division convert from millilitres to litres and vice versa. draw and interpret a line graph use a line graph to enable conversion between miles and kilometres.

9 division (WMD); Fractions, ratio and proportion (FRP) digit numbers; use short multiplication to multiply 3-digit numbers by 1- digit numbers; begin to use short multiplication to multiply 4-digit numbers by 1-digit numbers Lesson 82 Find unit and non-unit fractions of 3-digit numbers (S: Find perimeter and sides of shapes with given perimeters) Lesson 83 Use short multiplication to multiply 3-digit numbers by single-digit numbers (S: Multiply multiples of 10 by single-digit numbers) Lesson 84 Use short multiplication to multiply 3-digit numbers by single-digit numbers (S: Reduce fractions to their simplest forms) find unit and non-unit fractions of 3-digit amounts. begin to use short multiplication to multiply 3-digit numbers by single-digit numbers. use short multiplication to multiply 3-digit numbers by 1-digit numbers use rounding to estimate the answer look at final digits for clue to match calculations in answers. 18 Geometry: properties of shapes (GPS); Measurement (MEA) 19 Fractions, ratio and proportion (FRP) Understand what a polygon is; draw polygons using dotted square and isometric paper; revise terms obtuse, acute and reflex angles, perpendicular and parallel sides; recognise quadrilaterals as polygons and identify their properties; classify quadrilaterals; draw regular polygons and explore their properties; revise SI units of weight, capacity and length; understand that we can measure in Imperial units and relate these to their instances in daily life Place mixed numbers on lines; count up in fractions using Lesson 85 Begin to use short multiplication to multiply 4-digit numbers by single-digit numbers (S: Negative numbers) Lesson 86 Understand what a polygon is, draw polygons using dotted, square and isometric paper, and revise and use terms such as perpendicular and parallel sides (S: Rounding decimals to the nearest whole number) Lesson 87 Recognise quadrilaterals as polygons and identify their properties, and classify quadrilaterals (S: Recognise decimal and fraction equivalents) Lesson 88 Draw regular polygons and explore their properties (S: Draw a circle using a compass) Lesson 89 Revise metric units of weight, capacity and length, and understand that we can measure in imperial units and relate these to their instances in daily life (S: Triangles) Lesson 90 Understand that we can measure in imperial units and relate these to their instances in daily life (S: Calculate intervals of time using the 24 hour clock) Lesson 91 Place mixed numbers, e.g. 3 5/6, on lines; Count up in fractions using equivalence (S: Say how much needs to be added to a fraction to make a whole) begin to use short multiplication to multiply 4-digit numbers by single-digit numbers. identify and define a polygon recognise different polygons and name these identify parallel and perpendicular lines. recognise and identify different types of quadrilateral identify quadrilaterals by recognising and describing their properties. identify and describe polygons according to properties begin to say what the angles at the centre of regular polygons might be. name some commonly used Imperial units and say to which measure these correspond. use Standard International Units to measure lengths, weights and capacities recognise that Imperial units can be used for this purpose identify the contexts where people are likely to use Imperial units develop a feel-factor for some commonly used Imperial units. place mixed numbers, e.g. 3 5/6, on lines count up in fractions using equivalence

11 22 Fractions, ratio and proportion (FRP); Written division (WMD) 23 Decimals, percentages and their equivalence to fractions (DPE); Number and placevalue (NPV) between two amounts using counting up (Frog); solve word problems, including 2-step problems, choosing an appropriate method Multiply fractions less than 1 by whole numbers, convert improper fractions to whole numbers; use short multiplication to multiply 3-digit and 4- digit numbers by 1-digit numbers; use long multiplication to multiply 2-digit and 3-digit numbers by teens numbers Read, write and compare decimals to three decimal places; begin to understand the third decimal place represents 1000ths; multiply and divide numbers by 10, 100 and 1000 using 3-place decimal numbers in the calculations; place 2- place decimals on a number line and round them to the nearest tenth Lesson 104 Find change and calculate the difference between two amounts using counting up (Frog) (S: Adding to the next pound) Lesson 105 Solve word problems, including 2-step problems, choosing an appropriate method (S: Convert measures from imperial to metric) Lesson 106 Multiply fractions less than 1 by whole numbers, converting improper fractions to whole numbers (S: Times-tables) Lesson 107 Use short multiplication to multiply 3-digit and 4-digit numbers by single-digit numbers (S: Multiply multiples of 10 by single-digit numbers, e.g. 6 70) Lesson 108 Use short multiplication to multiply 4-digit numbers by single-digit numbers (S: Multiply fractions by single-digit numbers) Lesson 109 Begin to use long multiplication to multiply 2-digit and 3-digit numbers by teens numbers (S: Multiply multiples of 100 by multiples of 10) Lesson 110 Use long multiplication to multiply 3-digit numbers by teens numbers (S: Convert grams to kilograms) Lesson 111 Read, write and compare decimals to three decimal places; Begin to understand the third decimal place represents 1000ths (S: Count in 001s (on and back)) Lesson 112 Multiply and divide numbers by 10, 100 and 1000 using 3-place decimal numbers in the calculations (S: Write a number between two numbers with 2-place decimals) Lesson 113 Place 2-place decimals on a number line and round them to the nearest tenth and whole number (S: Add to the next whole number from 2-place decimals) number facts, place-value, etc. find change using counting up (Frog) subtract amounts of money using counting up (Frog). solve word problems using addition, subtraction of amounts of money use mental strategies to solve calculations. multiply fractions less than 1 by whole numbers write improper fractions as mixed numbers spot patterns and make generalisations. use short multiplication to multiply 3-digit and 4-digit numbers by 1-digit numbers use rounding to estimate the answer. use short multiplication to multiply 4-digit numbers by single-digit numbers use rounding to estimate answers. understand the three-stage process in long multiplication begin to use long multiplication to multiply 2-digit numbers and 3-digit numbers by teens numbers. use long multiplication to multiply 3-digit numbers by teens numbers. read, write and compare 3-place decimals know is 1/1000. multiply and divide numbers by 10, 100 & 1000 including numbers with 3-place decimals understand place-value in 4-digit numbers and 3-place decimals. children can round 2-place decimals to the nearest tenth children can round decimals to the nearest whole number children can locate 2-place decimal numbers on a number line.

14 28 Measurement (MEA) digit numbers by 1-digit numbers, including those which leave a remainder; express a remainder as a fraction; use long multiplication to multiply 3-digit and 4-digit numbers by teens numbers Find the area and perimeter of squares and rectangles by calculation; estimate and find the area of irregular shapes; calculate the perimeter and area of composite shapes; use the relations of area and perimeter to find unknown lengths; begin to understand the concept of volume; find the volume of a cube or cuboid by counting cubes; understand volume as measurement in three dimensions; relate volume to capacity; recognise and estimate volumes 3, 52 4) Lesson 132 Use short division to divide 4-digit numbers by 1-digit numbers, including those which leave a remainder; Express a remainder as fraction (S: Conversion from imperial to metric units) Lesson 133 Use short division to divide 4-digit numbers by 1-digit numbers, including those which leave a remainder; Express a remainder as fraction (S: Write equivalent expressions) Lesson 134 Use long multiplication to multiply 3-digit and 4-digit numbers by teens numbers (S: Multiply and divide by 10, 100, 1000 and 10,000) Lesson 135 Use long multiplication to multiply 4-digit numbers by teens numbers (S: Multiply by multiples of 100) Lesson 136 Find the area and perimeter of squares and rectangles by calculation (S: Plot five given points on a coordinate grid (first quadrant only)) Lesson 137 Estimate and find the area of irregular shapes; Calculate the perimeter and area of composite shapes (S: Convert grams to KG and vice versa) Lesson 138 Use the relations of area and perimeter to find unknown lengths (S: Divide and multiply 2-digit numbers by 10) Lesson 139 Begin to understand the concept of volume; Find the volume of a cube or cuboid by counting cubes (S: Give some measures in imperial and ask for an equivalent in metric) use short division to divide 4-digit numbers by single-digit numbers, including those which leave a remainder. use short division to divide 4-digit numbers by 1-digit numbers, including those which leave a remainder express a remainder as fraction use multiplication to check. use a written method to multiply 3-digit and 4-digit numbers by teens numbers make an approximation. use a written method to multiply 4-digit numbers by 2-digit numbers explain their reasoning. calculate the perimeter of a square or rectangle calculate the area of a square or rectangle understand that perimeter is measured in centimetres and area is measured in square centimetres. find the area of an irregular shape find the area and the perimeter of a composite shape by dividing it into squares and rectangles. find the area and the perimeter of a rectangle use the area and one side to find a missing side length use the perimeter and one side to find a missing side length. understand that volume is measurement in three dimensions see that to find the volume of a cube or cuboid, we can count the cubes used to build it understand that to calculate the volume we can multiply the three sides.

15 29 Decimals, percentages and their equivalence to fractions (DPE); Number and placevalue (NPV) Understand what percentages are, relate them to hundredths; know key equivalences between percentages and fractions, use these to find percentages of amounts of money; find equivalent fractions, decimals and percentages; solve problems involving fraction and percentage equivalents; write dates using Roman numerals Lesson 140 Understand volume as measurement in three dimensions, relate volume to capacity, recognise and estimate volumes (S: Find fractions of amounts) Lesson 141 Understand what percentages are, relate them to hundredths (S: Equivalences of fractions and decimals) Lesson 142 Know key equivalences between percentages and fractions, use these to find percentages of amounts of money (S: Find fractions of amounts, eg ¾ of 100 and 5/8 of 64) Lesson 143 Find equivalent fractions, decimals and percentages (S: Name and describe 2D shapes) Lesson 144 Solve problems involving fraction and percentage equivalents (S: 4- and 5-digit numbers) Lesson 145 Write dates using Roman numerals (S: Tell the time with Roman numerals on an analogue clock face) understand that volume is a measurement of the amount of space a shape takes up. understand that capacity is a measurement of the amount of water or lentils something will hold. identify percentage coloured convert percentages to hundredths, simplifying where possible. find 1%, 10%, 50% and 5% of an amount of money, and use these key percentages and knowledge of equivalent fractions to find other percentages of the same amount. identify equivalent fractions, decimals and percentages use equivalent fractions and percentages to solve problems. write the dates of years using Roman numerals. 30 Statistics (STA); Mental division (MMD); Written division (WMD) Find cubes; draw and interpret line graphs showing change in temperature over time; begin to understand rate; use timetables with times written using the 24-hour clock: use Frog to find time intervals of several hours and minutes; solve problems involving scaling by simple fractions; use factors to multiply; solve problems involving rate Lesson 146 Find cubes; Draw line graphs (S: Round numbers with one or two decimal places to the nearest whole) Lesson 147 Draw and interpret line graphs showing change in temperature over time; Begin to understand rate (S: Revise number of days in the months) Lesson 148 Use timetables with times written using the 24-hour clock; Use Frog to find time intervals of several hours and minutes (S: Convert minutes to hours and vice versa) Lesson 149 Solve problems involving scaling by simple fractions (S: All times-tables to 12 12) find cubes to at least 6 3 draw a line graph and interpret intermediate points. draw and interpret line graphs estimate intermediate values begin to understand the concept of a constant rate. read a timetable using 24-hour times convert 24-hour times to 12-hour times calculate time intervals of more than several hours. use a scale factor to find new dimensions and make a scale model appreciate the real life applications of scale drawings and models. Lesson 150 Use factors to multiply; Solve problems involving rate use factors to multiply numbers mentally (S: Division facts) choose and explain mental strategies used to multiply larger numbers begin to understand the concept of rate

16 solve simple word problems involving rates.

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