- complete a simple symmetric figure with respect to a specific line of symmetry - recognise, describe and build simple 3-D shapes, including making nets (appears also in Identifying Shapes and Their Properties) NRICH: * Year 5: NRICH: * NRICH: * NRICH: * *** Year 6: NRICH: *** ** NRICH: ** Comparing and classifying: - compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes Comparing and classifying: - use the properties of rectangles to deduce related facts and find missing lengths and angles - distinguish between regular and irregular polygons based on reasoning about equal sides and angles Comparing and classifying: - compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons Year 4: NRICH: *** NRICH: *** Year 5: NRICH: ** Year 6: NRICH: * NRICH: *** NRICH: *
Place Value Comparing numbers: - order and compare numbers beyond 1 000 - compare numbers with the same number of decimal places up to two decimal places (copied from Fractions) Comparing numbers: - read, write, order and compare numbers to at least 1 000 000 and determine the value of each digit (appears also in Reading and Writing Numbers) Comparing numbers: - read, write, order and compare numbers up to 10 000 000 and determine the value of each digit (appears also in Reading and Writing Numbers) Identifying, representing and estimating: - identify, represent and estimate numbers using different representations Reading and writing numbers: - read numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value. Reading and writing numbers: - read, write, order and compare numbers to at least 1 000 000 and determine the value of each digit (appears also in Comparing Numbers) - read numerals to 1 000 (M) and recognise years written in Roman numerals. Reading and writing numbers: - read, write, order and compare numbers up to 10 000 000 and determine the of each digit (appears also in Understanding Place Value) Understanding place value: - recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones) Understanding place value: - read, write, order and compare numbers to at least 1 000 000 and determine the value of each digit Understanding place value: - read, write, order and compare numbers up to 10 000 000 and determine the value of each digit (appears Year 4: NRICH: * RICH: *
different ways, i.e. 946.265 = 900 + 40 + 6 + 0.2 + 0.06 + 0.005 or 100 + 800 + 40.2 + 6.065 - make any number with tenths, hundreds and thousandths using structured apparatus, e.g. dienes, and use arrow cards to explain verbally and represent the value of each digit. - 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 units, tenths and hundredths (copied from Fractions) (appears also in Reading and Writing Numbers) - recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents (copied from Fractions) also in Reading and Writing Numbers) - identify the value of each digit to three decimal places and multiply and divide numbers by 10, 100 and 1 000 the answers are up to three decimal places (copied from Fractions) Rounding: - round any number to the nearest 10, 100 or 1 000 - decimals with one decimal place to the nearest whole number (copied from Fractions) Rounding: - round any number up to 1 000 000 to the nearest 10, 100, 1 000, 10 000 and 100 000 - round decimals with two decimal places to the nearest whole number and to one decimal place (copied from Fractions) Rounding: - round any whole number to a required degree of accuracy - solve problems which require answers to be rounded to specified degrees of accuracy (copied from Fractions) Problem solving: - solve number and practical problems that involve all of the above and with increasingly large positive numbers Problem solving: - solve number problems and practical problems that involve all of the above Problem solving: - solve number and practical problems that involve all of the above Term 2: 7 weeks
Statistics Interpreting, constructing and presenting data: - interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs Interpreting, constructing and presenting data: - complete, read and interpret information in tables, including timetables Interpreting, constructing and presenting data: - interpret and construct pie charts and line graphs and use these to solve problems Addition and subtraction: Year 4 and Year 5: - rapidly recall addition and subtraction facts within 20, represented as missing number problems with = symbol in any position. Make links to finding facts to 200, 2000 etc. Year 6: - rapidly recall addition and subtraction facts within 20, represented as missing number problems with = symbol in any position, plus make links to algebra, e.g. 2x + 3 = 20 Year 6: ** Solving problems: - solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs. Solving problems: - solve comparison, sum and difference problems using information presented in a line graph Solving problems: - calculate and interpret the mean as an average Year 4: NRICH: * * NRICH: ** Year 6: NRICH: * NRICH: * NRICH: * ** NRICH: ** NRICH: ** Addition and Subtraction Mental calculation: - add and subtract numbers mentally, including: a three-digit number and ones a number and tens a three-digit number and hundreds Mental calculation: - add and subtract numbers mentally with increasingly large numbers Mental calculation: - perform mental calculations, including with mixed operations and large numbers - use their knowledge of the order of operations to carry out calculations involving the four operations
therefore 0.04 + 0.06 = 0.1 Year 6: - derive as many facts as possible from number bonds to 10/20 using place value knowledge, e.g. 120 + 80 = 200 because 12 + 8 = 20 and 3.1 + 0.9 = 4 because one tenth and nine tenths equal ten tenths or one. Make links to algebra: 5 + ? = 10.6 Years 4/5/6: - choose and use the mental calculation strategy that is the most efficient when presented with different calculations, e.g. using doubles/near doubles, reordering, partitioning, rounding and adjusting, finding the difference. Problem solving: - solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why Problem solving: - solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why Problem solving: - solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why - solve problems involving addition, subtraction, multiplication and division Year 4: NRICH: ** NRICH: ** NRICH: ** NRICH: ** NRICH: * NRICH: ** NRICH: ** Year 5: NRICH: ** NRICH: *** *** NRICH: * Measurement Comparing and estimating: - estimate, compare and calculate different measures, including money in pounds and pence (also included in Measuring) Comparing and estimating: - calculate and compare the area of squares and rectangles including using standard units, square centimetres (cm2) and square metres (m2) and estimate the area of irregular Comparing and estimating: - calculate, estimate and compare volume of and cuboids using standard units, including centimetre cubed (cm3) and cubic metres (m3),
Year 5: - use key vocabulary – sum, product, difference – to practise finding the sum, product and difference of two single numbers. Year 6: - use key vocabulary – sum, product, difference, square, cube to practise finding the sum, product, difference, square and cube of given numbers. Telling the time: - read, write and convert time between analogue and digital 12 and 24-hour clocks (appears also in Converting) - solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days (appears also in Converting) Telling the time: - solve problems involving converting between units of time Telling the time: Converting: - convert between different units of measure (e.g. kilometre to metre; hour to minute) - read, and convert time between analogue and digital 12 and 24-hour clocks (appears also in Converting) - solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days (appears also in Telling the Time) Converting: - convert between different units of metric measure (e.g. kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre) - solve problems involving converting between units of time - understand and use equivalences between metric units and common imperial units such as inches, pounds and pints Converting: - use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to three decimal places - solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate (appears also in Measuring and Calculating) - convert between miles and kilometres
Term 3: 6 weeks Multiplication and Division Multiplication and division facts: - recall multiplication and division facts for multiplication tables up to 12 × 12 Multiplication and division facts: - recall multiplication and division facts for multiplication tables up to 12 × 12 [Year 4] Multiplication and division - recall multiplication and division facts for multiplication tables up to 12 × 12 [Year 4] Year 4: * NRICH: * ** * * * NRICH: * NRICH: * NRICH: * Mental calculation: - 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 and commutativity in mental calculations (appears also in Properties of Numbers) Mental calculation: - multiply and divide numbers mentally drawing upon known facts - multiply and divide whole numbers and those involving decimals by 10, 100 and 1000 Mental calculation: - perform mental calculations, including with mixed operations and large numbers - associate a fraction with division and calculate decimal fraction equivalents (e.g. 0.375) for a simple fraction (e.g. 3/8) (copied from Fractions) Year 4: NRICH: * NRICH: ** Year 6: NRICH: ** NRICH: * Written calculation: - multiply two-digit and numbers by a one-digit number using formal written layout Written calculation: - multiply numbers up to 4 digits by a one- or number using a formal written method, including long multiplication for two-digit numbers Written calculation: - multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication
- 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 - divide numbers up to 4-digits by a two-digit whole number using the formal written method of short division where appropriate for the context - divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context - use written division methods in cases where the answer has up to two decimal places (copied from Fractions (including decimals)) Properties of numbers: multiples, factors, primes, square and cube numbers: - recognise and use factor pairs and commutativity in mental calculations (repeated) Properties of numbers: multiples, factors, primes, square and cube numbers: - 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, prime factors and composite numbers - establish whether a number up to 100 is prime and recall prime numbers up to 19 Properties of numbers: multiples, factors, primes, square and cube numbers: - identify common factors, common multiples and prime numbers - use common factors to simplify fractions; use common multiples to express fractions in the same denomination (copied from Fractions) Year 5: NRICH: * * NRICH: * NRICH: * NRICH: * NRICH: ** NRICH: * Year 5: ** Year 5: * NRICH: ** NRICH: **
- recognise and use square numbers and cube numbers, and the notation for squared (2) and cubed (3) - calculate, estimate and compare volume of and cuboids using standard units, including centimetre cubed (cm3) and cubic metres (m3), and extending to other units such as mm3 and km3 (copied from Measures) Year 6: NRICH: ** NRICH: ** NRICH: ** NRICH: * ** NRICH: ** Order of operations: - estimate and use inverse operations to check answers to a calculation (copied from Addition and Subtraction) Order of operations: - use their knowledge of the order of operations to carry out calculations involving the four operations - use estimation to check answers to calculations and determine, in the context of a problem, levels of accuracy Year 6: *
Problem solving: - solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects Problem solving: - solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes - solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign - problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates Problem solving: - problems involving addition, subtraction, multiplication and division - solve problems involving similar shapes where the scale factor is known or can be found (copied from Ratio and Proportion) Year 5: NRICH: *** Year 5: NRICH: ** Fractions Recognising fractions: - recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten Recognising fractions: - recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents (appears also in Equivalence) Recognising fractions: Comparing fractions: - compare and order unit fractions, and fractions with the same denominators [Year 3] Comparing fractions: - compare and order fractions whose denominators are all multiples of the same number Comparing fractions: - compare and order fractions, including fractions >1 Comparing decimals: - compare numbers with the same number of decimal Comparing decimals: - read, write, order and compare numbers with up to three decimal places Comparing decimals: - identify the value of each digit in numbers given to three decimal places
places up to two decimal places Rounding including decimals: - decimals with one decimal place to the nearest whole number Rounding including decimals: - round decimals with two decimal places to the nearest whole number and to one decimal place Rounding including decimals: - solve problems which require answers to be rounded to specified degrees of accuracy Equivalence, including fractions, decimals and percentages: - 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 1/4; 1/2; 3/4 Equivalence, including fractions, decimals and percentages: - identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths - read and write decimal numbers as fractions (e.g. 0.71 = 71/100) - recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents - 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 as a decimal fraction Equivalence, including fractions, decimals and percentages: - use common factors to simplify fractions; use common multiples to express fractions in the same denomination - associate a fraction with division and calculate decimal fraction equivalents (e.g. 0.375) for a simple fraction (e.g. 3/8) - recall and use equivalences between simple fractions, decimals and percentages, including in different contexts. Year 4: NRICH: * NRICH: * NRICH: * Addition and subtraction of fractions: - add and subtract fractions with the same denominator Addition and subtraction of fractions: - add and subtract fractions with the same denominator Addition and subtraction of fractions:
Problem solving: - 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. Problem solving: - solve problems involving numbers up to three decimal places - solve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and those with a denominator of a multiple of 10 or 25. Year 4: NRICH: ** NRICH: ** Year 5: ** NRICH: **
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 shape following a reflection or translation, using the appropriate language, and know that the shape has not changed - describe positions on the full coordinate grid (all four quadrants) - draw and translate simple shapes on the coordinate plane, and reflect them in the axes. Year 6: NRICH: * NRICH: ** NRICH: ** NRICH: *** Ratio and Proportion and proportion: - solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts - solve problems involving the calculation of percentages [for example, of measures, and such as 15% of 360] and the use of percentages for comparison - problems involving similar shapes where the scale factor is known or can be found - solve problems involving unequal sharing and grouping Year 6: NRICH: ** NRICH: ** * Year 6: NRICH: *