# Topic Skill Homework Title Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number.

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1 Year 1 (Age 5-6) Number and Place Value Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number. Count up to 10 and back (Age 5-6) Count up to 20 objects (Age 5-6) Count up to 20 and back (Age 5-6) Count, read and write numbers to 100 in numerals; count in multiples of twos, fives and tens. Count up to 10 and back (Age 5-6) Count up to 20 objects (Age 5-6) Count up to 20 and back (Age 5-6) The 2 times table (Age 5-6) Count by grouping in 2s (Age 6-7) Count by grouping in 5s (Age 6-7) Count by grouping in 10s (Age 6-7) Given a number, identify one more and one less. Find 1 more than (Age 5-6) Subtract 1 (Age 5-6) Identify and represent numbers using concrete objects and pictorial representations including the number line. Order numbers up to 100 (Age 5-6) Order numbers to 20 (Age 5-6) Understand tens and units (Age 5-6) Use tens and units (Age 5-6) Use the language of: equal to, more than, less than (fewer), most and least. Order 2 digit numbers (Age 5-6) Read and write numbers from 1 to 20 in numerals and words. Count up to 20 and back (Age 5-6) Addition and Subtraction Read, write and interpret mathematical statements involving addition (+), subtraction (-) and equals (=) signs. Add 1 digit numbers (Age 5-6) Subtract 1 digit numbers (Age 5-6) Subtract from a multiple of 10 (Age 5-6) Subtract 10 (Age 5-6) Subtraction is the inverse of addition (Age 5-6) Represent and use number bonds and related subtraction facts within 20. Pairs that add up to 10 (Age 5-6) Subtract from 10 (Age 5-6) Add or double numbers (Age 5-6) Add and subtract one-digit and two-digit numbers to 20 (9 + 9, 18-9), including zero. Add 1 (Age 5-6); Subtract 1 (Age 5-6) Find 1 more than (Age 5-6) Add 1 digit numbers (Age 5-6) Add to a 2 digit number (Age 5-6) Subtract 1 digit numbers (Age 5-6) Subtract from a multiple of 10 (Age 5-6) Subtract 10 (Age 5-6) Add or double numbers (Age 5-6) Solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = [box]- 9. Solve addition money problems (Age 5-6) Solve subtraction money problems (Age 5-6) Missing addition and subtraction signs (Age 5-6) Subtraction is the inverse of addition (Age 5-6) Multiplication and Division Solve simple one-step problems involving multiplication and division, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher. The two times table (age 5-6). Introduce multiplication (Age 5-6) Multiplication as repeated addition (Age 5-6) Introduce sharing (Age 5-6) Share objects equally (Age 5-6) Fractions Recognise, find and name a half as one of two equal parts of an object, shape or quantity. Find half or quarter of a small amount (Age 5-6) Recognise, find and name a quarter as one of four equal parts of an object, shape or quantity. Find half or quarter of a small amount (Age 5-6)

2 Year 2 (Age 6-7) Number and Place Value Count in steps of 2, 3, and 5 from 0, and in tens from any number, forward or backward. Count by grouping in 2s (Age 6-7) Count by grouping in 5s (Age 6-7) Count by grouping in 10s (Age 6-7) Know odd and even numbers (Age 6-7) Count in 10s from any 2-digit number (Age 6-7) Add multiples of 10 (Age 6-7) Subtract multiples of 10 (Age 6-7) Know multiples of 2, 5 and 10 (Age 6-7) Count in 10s (Age 7-8) Recognise the place value of each digit in a two-digit number (tens, ones). Order numbers up to 100 (Age 5-6) Understand tens and units (Age 5-6) Use tens and units (Age 5-6) Order 2-digit numbers with the same tens digits (Age 6-7) Order 2-digit numbers with different tens digits (Age 6-7) Identify, represent and estimate numbers using different representations, including the number line. Start to round to the nearest 10 (Age 6-7) Round to the nearest 10 (Age 6-7) Compare and order numbers from 0 up to 100; use <, > and = signs. Order numbers up to 100 (Age 5-6) Order 2-digit numbers with the same tens digits (Age 6-7) Order 2-digit numbers with different tens digits (Age 6-7) Use the less than, greater than and equals symbols (Age 6-7) Start to round to the nearest 10 (Age 6-7) Round to the nearest 10 (Age 6-7) Read and write numbers to at least 100 in numerals and in words. Order numbers up to 100 (Age 5-6) Use place value and number facts to solve problems. Solve missing number problems (Age 6-7) Start to round to the nearest 10 (Age 6-7) Round to the nearest 10 (Age 6-7) Solve money problems using addition and multiplication (Age 6-7) Solve money problems using subtraction and division (Age 6-7)

4 Year 3 (Age 7-8) Number and Place Value Count from 0 in multiples of 4, 8, 50 and 100. Count in 100s (Age 7-8) Continue number sequences (Age 8-9) Finding 10 or 100 more or less than a given number. Count on in 10s (Age 7-8) Recognise the place value of each digit in a three-digit number (hundreds, tens, ones). Place value in numbers up to 1000 (Age 7-8) Round to the nearest 10 (Age 7-8) Round to the nearest 100 (Age 7-8) Compare and order numbers up to 1,000. Place value in numbers up to 1000 (Age 7-8) Round to the nearest 10 (Age 7-8) Round to the nearest 100 (Age 7-8) Identify, represent and estimate numbers using different representations. Round to the nearest 10 (Age 7-8) Round to the nearest 100 (Age 7-8) Read and write numbers to at least 1,000 in numerals and in words. Solve number problems and practical problems involving these ideas. Addition and Subtraction Add and subtract numbers mentally, including: A three-digit number and ones. Add 9 more easily (Age 7-8) A three-digit number and tens. Add 9 more easily (Age 7-8) A three-digit number and hundreds. Solve addition money problems (Age 5-6) Solve subtraction money problems (Age 5-6) Missing addition and subtraction signs (Age 5-6) Subtraction is the inverse of addition (Age 5-6) Add and subtract numbers with up to three 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. Add using columns (Age 7-8) Subtract using columns (Age 7-8) Related addition and subtraction facts (Age 7-8) Use inverse subtraction facts (Age 7-8) Use inverse addition facts (Age 7-8) Estimate addition and subtraction using rounding (Age 7-8) Related addition and subtraction facts (Age 7-8) Use inverse subtraction facts (Age 7-8) Use inverse addition facts (Age 7-8) Choose addition or subtraction to solve a problem (Age 7-8) Solve 1-step number problems (Age 7-8) Solve 1-step real-life problems (Age 7-8) Solve 1-step money problems (Age 8-9)

5 Year 3 (Age 7-8) Multiplication and Division Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables. Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to efficient written methods. Solve problems, including missing number problems, involving multiplication and division, including integer scaling problems and correspondence problems in which n objects are connected to m objects. The 3 times table (Age 7-8) The 4 times table (Age 7-8) The 8 times table (Age 7-8) Related multiplication and division facts (Age 7-8) Use inverse division facts (Age 7-8) Use inverse multiplication facts (Age 7-8) Multiply a 1-digit number by 10 (Age 7-8) Multiply a 2-digit number by 10 (Age 7-8) Multiply using partitioning (Age 7-8) Multiply using the grid method (Age 7-8) Choose multiplication or division to solve problems (Age 7-8) Use inverse division facts (Age 7-8) Use inverse multiplication facts (Age 7-8) Multiply a 1-digit number by 10 (Age 7-8) Multiply a 2-digit number by 10 (Age 7-8) Divide with remainders; Solve 1-step number problems (Age 7-8) Solve 1-step real-life problems (Age 7-8) Solve 1-step money problems (Age 8-9) Fractions Count up and down in tenths. Recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 10. Recognise, find and write fractions of a discrete set of objects: unit fractions Understand and write fractions (Age 7-8) and non-unit fractions with small denominators. Find simple fractions (Age 7-8) Recognise and use fractions as numbers: unit fractions and non-unit fractions with Find simple fractions (Age 7-8) small denominators. Recognise and show, using diagrams, equivalent fractions with small Order proper fractions (Age 7-8) denominators. Find the lowest form of fractions (Age 8-9) Add and subtract fractions with the same denominator within one whole (e.g. 5/7 + 1/7 = 6/7). Compare and order unit fractions and fractions with the same denominator. Order proper fractions (Age 7-8) Solve problems that involve all of the above.

6 Year 4 (Age 8-9) Number and Place Value Count in multiples of 6, 7, 9, 25 and 1,000. Count up to 10 and back (Age 5-6) Count up to 20 objects (Age 5-6) Count up to 20 and back (Age 5-6) Find 1000 more or less than a given number. Count backwards through zero to include negative numbers. Understand negative numbers (Age 9-10) Count past zero (Age 9-10) Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, Place value in 4-digit numbers (Age 8-9) and ones). Order and compare numbers beyond 1,000. Identify, represent and estimate numbers using different representations. Round any number to the nearest 10, 100 or 1,000. Round to the nearest 10 (Age 7-8) Round to the nearest 100 (Age 7-8) Round to the nearest 100 (Age 8-9) Solve number and practical problems that involve all of the above and with increasingly large positive numbers. Read roman numerals to 100 (i to c) and understand how, over time, the numeral system changed to include the concept of zero and place value. Addition and Subtraction Add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate. Estimate and use inverse operations to check answers to a calculation. Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why. Add using columns (Age 8-9) Subtract using columns (Age 8-9) Use mental methods to add and subtract (Age 8-9) Solve 2-step real-life problems (Age 8-9) Multiplication and Division Recall multiplication and division facts for multiplication tables up to The 7 times table (Age 8-9) The 6 times table (Age 8-9) The 9 times table (Age 8-9) The 11 and 12 times tables (Age 8-9) Recognise multiples (Age 8-9) Use place value, known and derived facts to multiply and divide mentally. Multiply a 2-digit number by 100 (Age 8-9) Divide by 10 (Age 8-9) Divide by 100 (Age 8-9) Recognise multiples (Age 8-9) Double and halve 2-digit numbers (Age 8-9) Including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers. Recognise and use factor pairs and commutativity in mental calculations. Find factors (Age 8-9) Multiply two-digit and three-digit numbers by a one-digit number using formal written layout. Multiply using the grid method (Age 8-9) Introducing short division (Age 8-9) 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. Round remainders up or down (Age 8-9) Solve 2-step real-life problems (Age 8-9)

7 Year 4 (Age 8-9) Fractions Recognise and show, using diagrams, families of common equivalent fractions. Find the lowest form of fractions (Age 8-9) Count up and down in hundredths. Recognise that hundredths arise when dividing an object by a hundred and dividing tenths by ten. 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. Add and subtract fractions with the same denominator. Adding and subtracting fractions (Age 9-10) Recognise and write decimal equivalents of any number of tenths or hundredths. Write tenths as fractions and decimals (Age 8-9) Understand decimals (Age 8-9) Recognise and write decimal equivalents to 1/4; 1/2; 3/4. Convert fractions to decimals (Age9-10) Find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of Divide to make decimals (Age 9-10) the digits in the answer as units, tenths and hundredths. Round decimals with one decimal place to the nearest whole number. Round to whole numbers (Age 9-10) Compare numbers with the same number of decimal places up to two decimal places. Order decimals to one decimal place (Age 8-9) Solve simple measure and money problems involving fractions and decimals to two decimal places. Solve 2-step real-life problems (Age 8-9) Solve 2-step real-life problems (Age 9-10)

8 Year 5 (Age 9-10) Number and Place Value Read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit. Count forwards or backwards in steps of powers of 10 for any given number up to 1,000,000. Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers through zero. Understand negative numbers (Age 9-10) Count past zero (Age 9-10) Order negative numbers (Age 10-11) Round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000. Round to whole numbers (Age 9-10) Solve number problems and practical problems that involve all of the above. Read roman numerals to 1,000 (m) and recognise years written in roman numerals. Addition and Subtraction Multiplication and Division Add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction). Use addition and subtract to solve number problems (Age 9-10) Add and subtract numbers mentally with increasingly large numbers. Solve puzzles using inverse calculations (Age 9-10) Use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy. Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why. Identify multiples and factors, including finding all factor pairs of a number and common factors of two numbers. Solve problems involving multiplication and division where larger numbers are used by decomposing them into their factors. Know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers. Estimate decimal addition and subtraction (Age 9-10) Estimate decimal addition and subtraction (Age 9-10) Use addition and subtract to solve number problems (Age 9-10) Solve 2-step real-life problems (Age 9-10) Find prime factors (Age 10-11); Find factors (Age 8-9) Square and prime numbers (Age 10-11) Find prime factors (Age 10-11) Establish whether a number up to 100 is prime and recall prime numbers up to 19. Square and prime numbers (Age 10-11) Multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, Expanded or short multiplication (Age 9-10) including long multiplication for two-digit numbers. Multiply and divide numbers mentally drawing upon known facts; multiply large numbers by five mentally (age 9-10). Three facts for free (Age 9-10) Find division facts from multiplication facts (Age 9-10) Solve puzzles using inverse calculations

9 Year 5 (Age 9-10) Multiplication and Division Divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context. Short division (Age 9-10) Short division with remainders (Age 9-10) Multiply and divide whole numbers and those involving decimals by 10, 100 and 1,000. Divide by 10 (Age 8-9) Divide by 100 (Age 8-9) Multiply decimals by 10 and 100 (Age 9-10) Divide decimals by 10 and 100 (Age 9-10) Multiply and divide by 1000 (Age 9-10) Recognise and use square numbers and cube numbers, and the notation for squared (2) and cubed (3). Solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign. Solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates. Square numbers (Age 9-10) Square and prime numbers (Age 10-11) Solve 2-step real-life problems (Age 9-10) Solve 2-step real-life problems (Age 9-10) Scale up ratio and proportion (Age 9-10) Solve puzzles involving inverse calculations (Age 9-10) Fractions (including decimals and percentages) Compare and order fractions whose denominators are all multiples of the same number. Order proper fractions (Age 7-8) Identify, name and write equivalent fractions of a given fraction, represented visually, Finding the lowest form of fraction (Age 8-9) including tenths and hundredths. Recognise mixed numbers and improper fractions and convert from one form to the other Adding and subtracting fractions (Age 9-10) and write mathematical statements > 1 as a mixed number (e.g. 2/5 + 4/5 = 6/5 = 11/5). Add and subtract fractions with the same denominator and multiples of the same number. Find fractions of numbers (Age 10-11) Multiply proper fractions and mixed numbers by whole numbers, supported by materials Convert fractions to decimals (Age 9-10) and diagrams. Read and write decimal numbers as fractions (e.g = 71/100). Divide to make decimals (Age 9-10) Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents. Round decimals with two decimal places to the nearest whole number and to one decimal place. Round to whole numbers (Age 9-10) Round two decimal places (Age 10-11) Decimal number sequences (Age 9-10) Understanding decimal place value (Age 9-10) Order decimals to two decimal places (Age 9-10) Round three decimal places (Age 10-11) Read, write, order and compare numbers with up to three decimal places. Decimal number sequences (Age 9-10) Multiply decimals by 10 and 100 (Age 9-10) Divide decimals by 10 and 100 (Age 9-10) Multiply and divide by 1000 (Age 9-10) Add decimals in columns (age 9-10) Subtract decimals in columns (Age 9-10) Solve problems involving number up to three decimal places. Understand percentages (Age 9-10) Recognise the per cent symbol (%) and understand that per cent relates to number of parts per hundred. Understand percentages (Age 9-10) Convert decimals to percentages (Age 9-10) Write percentages as a fraction with denominator hundred, and as a decimal fraction. Convert decimals to percentages (Age 9-10) Solve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, Divide to make decimals (Age 9-10) 2/5, 4/5 and those with a denominator of a multiple of 10 or 25.

10 Year 6 (Age 10-11) Number, Place Value and Rounding Read, write, order and compare numbers up to 10,000,000 and determine the value of each digit. Round any whole number to a required degree of accuracy. Round to whole numbers (Age 9-10) Use negative numbers in context, and calculate intervals across zero. Add and subtract negative numbers (Age 10-11) Order negative numbers (Age 10-11) Solve number problems and practical problems that involve all of the above. Addition, Subtraction, Multiplication and Division 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 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. Column multiplication (Age 10-11) Long multiplication (Age 10-11) Long division (Age 10-11) Remainders divided by fractions (Age 10-11) Remainders divided as decimals (Age 10-11) Long division (Age 10-11) Perform mental calculations, including with mixed operations and large numbers. Identify common factors, common multiples and prime numbers. Find prime factors (Age 10-11) Use their knowledge of the order of operations to carry out calculations involving the four operations. Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why. Start to use brackets (Age 9-10) Move brackets in calculations (Age 9-10) Introduce BODMAS to order operations (Age 10-11) Using BODMAS to order operations (Age 10-11) Solve 2-step real-life problems (Age 10-11) Solve problems involving addition, subtraction, multiplication and division. Add and subtract negative numbers (Age 10-11) Decimal addition (Age 10-11) Decimal subtraction (Age 10-11) Use times tables facts to multiply decimals (Age 10-11) Use division facts to divide decimals (Age 10-11) Use multiplication and division to solve number problems (Age 10-11) Use estimation to check answers to calculations and determine, in the context of a problem, Use divisibility tests (Age 10-11) levels of accuracy.

11 Cancel fractions (Age 10-11) Fractions (including decimals and percentages) Use common factors to simplify fractions; use common multiples to express fractions in the same denomination. Compare and order fractions, including fractions >1. Order mixed numbers (Age 8-9) Add and subtract fractions with different denominators and mixed numbers, using the concept Adding and subtracting fractions (Age 9-10) of equivalent fractions. Multiply simple pairs of proper fractions, writing the answer in its simplest form (e.g. 1/4 1/2 = 1/8). Divide proper fractions by whole numbers (e.g. 1/3 2 = 1/6 ). Associate a fraction with division and calculate decimal fraction equivalents (e.g ) Decimal division (Age 10-11) for a simple fraction (e.g. 3/8). Identify the value of each digit to three decimal places and multiply and divide numbers by 10, 100 and 1000 where the answers are up to three decimal places. Order decimals (Age 10-11) Round three decimal places (Age 10-11) Multiply one-digit numbers with up to two decimal places by whole numbers. Decimal multiplication (Age 10-11) Use written division methods in cases where the answer has up to two decimal places. Decimal division (Age 10-11) Dividing decimals (Age 10-11) Use division facts to divide decimals (Age 10-11) Solve problems which require answers to be rounded to specified degrees of accuracy. Round three decimal places (Age 10-11) Year 6 (Age 10-11) Ratio and Proportion Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts. 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 (e.g. Of measures) such as 15% of 360 and the use of percentages for comparison. Solve problems involving similar shapes where the scale factor is known or can be found. Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples. Percentages, fractions and decimals to know (Age 10-11) Understand simple ratio and proportion (Age 8-9) Scale up ratio and proportion (Age 9-10) Convert ratios to fractions (Age 8-9); Use ratio to share in proportion (Age 10-11) Algebra Express missing number problems algebraically. Use letters in algebra (Age 10-11); Solve word problems using algebra (Age 10-11) Use simple formulae expressed in words. Use letters in algebra (Age 10-11) Generate and describe linear number sequences. Find pairs of numbers that satisfy number sentences involving two unknowns. Enumerate all possibilities of combinations of two variables.

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