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


 Tamsyn Norris
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1 Year 1 (Age 56) 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 56) Count up to 20 objects (Age 56) Count up to 20 and back (Age 56) Count, read and write numbers to 100 in numerals; count in multiples of twos, fives and tens. Count up to 10 and back (Age 56) Count up to 20 objects (Age 56) Count up to 20 and back (Age 56) The 2 times table (Age 56) Count by grouping in 2s (Age 67) Count by grouping in 5s (Age 67) Count by grouping in 10s (Age 67) Given a number, identify one more and one less. Find 1 more than (Age 56) Subtract 1 (Age 56) Identify and represent numbers using concrete objects and pictorial representations including the number line. Order numbers up to 100 (Age 56) Order numbers to 20 (Age 56) Understand tens and units (Age 56) Use tens and units (Age 56) Use the language of: equal to, more than, less than (fewer), most and least. Order 2 digit numbers (Age 56) Read and write numbers from 1 to 20 in numerals and words. Count up to 20 and back (Age 56) Addition and Subtraction Read, write and interpret mathematical statements involving addition (+), subtraction () and equals (=) signs. Add 1 digit numbers (Age 56) Subtract 1 digit numbers (Age 56) Subtract from a multiple of 10 (Age 56) Subtract 10 (Age 56) Subtraction is the inverse of addition (Age 56) Represent and use number bonds and related subtraction facts within 20. Pairs that add up to 10 (Age 56) Subtract from 10 (Age 56) Add or double numbers (Age 56) Add and subtract onedigit and twodigit numbers to 20 (9 + 9, 189), including zero. Add 1 (Age 56); Subtract 1 (Age 56) Find 1 more than (Age 56) Add 1 digit numbers (Age 56) Add to a 2 digit number (Age 56) Subtract 1 digit numbers (Age 56) Subtract from a multiple of 10 (Age 56) Subtract 10 (Age 56) Add or double numbers (Age 56) Solve onestep 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 56) Solve subtraction money problems (Age 56) Missing addition and subtraction signs (Age 56) Subtraction is the inverse of addition (Age 56) Multiplication and Division Solve simple onestep 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 56). Introduce multiplication (Age 56) Multiplication as repeated addition (Age 56) Introduce sharing (Age 56) Share objects equally (Age 56) 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 56) 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 56)
2 Year 2 (Age 67) 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 67) Count by grouping in 5s (Age 67) Count by grouping in 10s (Age 67) Know odd and even numbers (Age 67) Count in 10s from any 2digit number (Age 67) Add multiples of 10 (Age 67) Subtract multiples of 10 (Age 67) Know multiples of 2, 5 and 10 (Age 67) Count in 10s (Age 78) Recognise the place value of each digit in a twodigit number (tens, ones). Order numbers up to 100 (Age 56) Understand tens and units (Age 56) Use tens and units (Age 56) Order 2digit numbers with the same tens digits (Age 67) Order 2digit numbers with different tens digits (Age 67) Identify, represent and estimate numbers using different representations, including the number line. Start to round to the nearest 10 (Age 67) Round to the nearest 10 (Age 67) Compare and order numbers from 0 up to 100; use <, > and = signs. Order numbers up to 100 (Age 56) Order 2digit numbers with the same tens digits (Age 67) Order 2digit numbers with different tens digits (Age 67) Use the less than, greater than and equals symbols (Age 67) Start to round to the nearest 10 (Age 67) Round to the nearest 10 (Age 67) Read and write numbers to at least 100 in numerals and in words. Order numbers up to 100 (Age 56) Use place value and number facts to solve problems. Solve missing number problems (Age 67) Start to round to the nearest 10 (Age 67) Round to the nearest 10 (Age 67) Solve money problems using addition and multiplication (Age 67) Solve money problems using subtraction and division (Age 67)
3 Year 2 (Age 67) Addition and Subtraction Solve problems with addition and subtraction: using concrete objects and pictorial representations, including those involving numbers, quantities and measures. Solve money problems using addition and multiplication (Age 67) Solve money problems using subtraction and division (Age 67) Applying their increasing knowledge of mental and written methods. Add multiples of 10 (Age 67) Subtract multiples of 10 (Age 67) Use mental methods to add and subtract (Age 78) Recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100. Know doubles of numbers to 10 (Age 67) Pairs that make 20 (Age 67) Pairs that make numbers up to 20 (Age 67) Add and subtract numbers using concrete objects, pictorial representations, and mentally, including: A twodigit number and ones. Add by crossing the 10s barrier (Age 56) Add to a 2digit number (Age 56) A twodigit number and tens. Add multiples of 10 (Age 67) Subtract multiples of 10 (Age 67) Two twodigit numbers. Add 2digit numbers (Age 67) Subtract 2digit numbers (Age 67) Adding three onedigit numbers. Show that addition of two numbers can be done in any order (commutative) Related addition and subtraction facts (Age 67) and subtraction of one number from another cannot. Recognise and use the inverse relationship between addition and subtraction and use this to check calculations and missing number problems. Multiplication and Division Recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables. Subtraction is the inverse of addition (Age 56) Checking addition and subtraction (Age 67) Use inverse subtraction facts (Age 78) Use inverse addition facts (Age 78) The 2 times table (Age 67) The 5 times table (Age 67) The 10 times table (Age 67) Know multiples of 2, 5 and 10 (Age 67) Use times tables for division (Age 67) Including recognising odd and even numbers. Know odd and even numbers (Age 67) Division with remainders (Age 67) Calculate mathematical statements for multiplication and division within the Use times tables for division (Age 67) multiplication tables and write them using the multiplication ( ), division ( ) and equals (=) signs. Show that multiplication of two numbers can be done in any order Related multiplication and division facts (Age 78) (commutative) and division of one number by another cannot. Solve onestep problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts. Multiplication as repeated addition (Age 67) Division as grouping (Age 67) Division with remainders (Age 67) Solve money problems using addition and multiplication (Age 67) Solve money problems using subtraction and division (Age 67) Fractions Recognise, find, name and write fractions 1/3, 1/4, 2/4 and 3/4 of a length, shape, set of objects or quantity. Write simple fractions e.g. 1/2 of 6 = 3 and recognise the equivalence of 2/4 and 1/2. Find half or quarter of a small amount (Age 67) Finding half or quarter of a shape (Age 67) Find half or quarter of a small amount (Age 67) Understand and write fractions (78)
4 Year 3 (Age 78) Number and Place Value Count from 0 in multiples of 4, 8, 50 and 100. Count in 100s (Age 78) Continue number sequences (Age 89) Finding 10 or 100 more or less than a given number. Count on in 10s (Age 78) Recognise the place value of each digit in a threedigit number (hundreds, tens, ones). Place value in numbers up to 1000 (Age 78) Round to the nearest 10 (Age 78) Round to the nearest 100 (Age 78) Compare and order numbers up to 1,000. Place value in numbers up to 1000 (Age 78) Round to the nearest 10 (Age 78) Round to the nearest 100 (Age 78) Identify, represent and estimate numbers using different representations. Round to the nearest 10 (Age 78) Round to the nearest 100 (Age 78) 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 threedigit number and ones. Add 9 more easily (Age 78) A threedigit number and tens. Add 9 more easily (Age 78) A threedigit number and hundreds. Solve addition money problems (Age 56) Solve subtraction money problems (Age 56) Missing addition and subtraction signs (Age 56) Subtraction is the inverse of addition (Age 56) 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 78) Subtract using columns (Age 78) Related addition and subtraction facts (Age 78) Use inverse subtraction facts (Age 78) Use inverse addition facts (Age 78) Estimate addition and subtraction using rounding (Age 78) Related addition and subtraction facts (Age 78) Use inverse subtraction facts (Age 78) Use inverse addition facts (Age 78) Choose addition or subtraction to solve a problem (Age 78) Solve 1step number problems (Age 78) Solve 1step reallife problems (Age 78) Solve 1step money problems (Age 89)
5 Year 3 (Age 78) 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 twodigit numbers times onedigit 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 78) The 4 times table (Age 78) The 8 times table (Age 78) Related multiplication and division facts (Age 78) Use inverse division facts (Age 78) Use inverse multiplication facts (Age 78) Multiply a 1digit number by 10 (Age 78) Multiply a 2digit number by 10 (Age 78) Multiply using partitioning (Age 78) Multiply using the grid method (Age 78) Choose multiplication or division to solve problems (Age 78) Use inverse division facts (Age 78) Use inverse multiplication facts (Age 78) Multiply a 1digit number by 10 (Age 78) Multiply a 2digit number by 10 (Age 78) Divide with remainders; Solve 1step number problems (Age 78) Solve 1step reallife problems (Age 78) Solve 1step money problems (Age 89) Fractions Count up and down in tenths. Recognise that tenths arise from dividing an object into 10 equal parts and in dividing onedigit numbers or quantities by 10. Recognise, find and write fractions of a discrete set of objects: unit fractions Understand and write fractions (Age 78) and nonunit fractions with small denominators. Find simple fractions (Age 78) Recognise and use fractions as numbers: unit fractions and nonunit fractions with Find simple fractions (Age 78) small denominators. Recognise and show, using diagrams, equivalent fractions with small Order proper fractions (Age 78) denominators. Find the lowest form of fractions (Age 89) 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 78) Solve problems that involve all of the above.
6 Year 4 (Age 89) Number and Place Value Count in multiples of 6, 7, 9, 25 and 1,000. Count up to 10 and back (Age 56) Count up to 20 objects (Age 56) Count up to 20 and back (Age 56) Find 1000 more or less than a given number. Count backwards through zero to include negative numbers. Understand negative numbers (Age 910) Count past zero (Age 910) Recognise the place value of each digit in a fourdigit number (thousands, hundreds, tens, Place value in 4digit numbers (Age 89) 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 78) Round to the nearest 100 (Age 78) Round to the nearest 100 (Age 89) 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 twostep problems in contexts, deciding which operations and methods to use and why. Add using columns (Age 89) Subtract using columns (Age 89) Use mental methods to add and subtract (Age 89) Solve 2step reallife problems (Age 89) Multiplication and Division Recall multiplication and division facts for multiplication tables up to The 7 times table (Age 89) The 6 times table (Age 89) The 9 times table (Age 89) The 11 and 12 times tables (Age 89) Recognise multiples (Age 89) Use place value, known and derived facts to multiply and divide mentally. Multiply a 2digit number by 100 (Age 89) Divide by 10 (Age 89) Divide by 100 (Age 89) Recognise multiples (Age 89) Double and halve 2digit numbers (Age 89) 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 89) Multiply twodigit and threedigit numbers by a onedigit number using formal written layout. Multiply using the grid method (Age 89) Introducing short division (Age 89) 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 89) Solve 2step reallife problems (Age 89)
7 Year 4 (Age 89) Fractions Recognise and show, using diagrams, families of common equivalent fractions. Find the lowest form of fractions (Age 89) 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 nonunit fractions where the answer is a whole number. Add and subtract fractions with the same denominator. Adding and subtracting fractions (Age 910) Recognise and write decimal equivalents of any number of tenths or hundredths. Write tenths as fractions and decimals (Age 89) Understand decimals (Age 89) Recognise and write decimal equivalents to 1/4; 1/2; 3/4. Convert fractions to decimals (Age910) Find the effect of dividing a one or twodigit number by 10 and 100, identifying the value of Divide to make decimals (Age 910) 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 910) Compare numbers with the same number of decimal places up to two decimal places. Order decimals to one decimal place (Age 89) Solve simple measure and money problems involving fractions and decimals to two decimal places. Solve 2step reallife problems (Age 89) Solve 2step reallife problems (Age 910)
8 Year 5 (Age 910) 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 910) Count past zero (Age 910) Order negative numbers (Age 1011) 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 910) 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 910) Add and subtract numbers mentally with increasingly large numbers. Solve puzzles using inverse calculations (Age 910) Use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy. Solve addition and subtraction multistep 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 (nonprime) numbers. Estimate decimal addition and subtraction (Age 910) Estimate decimal addition and subtraction (Age 910) Use addition and subtract to solve number problems (Age 910) Solve 2step reallife problems (Age 910) Find prime factors (Age 1011); Find factors (Age 89) Square and prime numbers (Age 1011) Find prime factors (Age 1011) Establish whether a number up to 100 is prime and recall prime numbers up to 19. Square and prime numbers (Age 1011) Multiply numbers up to 4 digits by a one or twodigit number using a formal written method, Expanded or short multiplication (Age 910) including long multiplication for twodigit numbers. Multiply and divide numbers mentally drawing upon known facts; multiply large numbers by five mentally (age 910). Three facts for free (Age 910) Find division facts from multiplication facts (Age 910) Solve puzzles using inverse calculations
9 Year 5 (Age 910) Multiplication and Division Divide numbers up to 4 digits by a onedigit number using the formal written method of short division and interpret remainders appropriately for the context. Short division (Age 910) Short division with remainders (Age 910) Multiply and divide whole numbers and those involving decimals by 10, 100 and 1,000. Divide by 10 (Age 89) Divide by 100 (Age 89) Multiply decimals by 10 and 100 (Age 910) Divide decimals by 10 and 100 (Age 910) Multiply and divide by 1000 (Age 910) 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 910) Square and prime numbers (Age 1011) Solve 2step reallife problems (Age 910) Solve 2step reallife problems (Age 910) Scale up ratio and proportion (Age 910) Solve puzzles involving inverse calculations (Age 910) Fractions (including decimals and percentages) Compare and order fractions whose denominators are all multiples of the same number. Order proper fractions (Age 78) Identify, name and write equivalent fractions of a given fraction, represented visually, Finding the lowest form of fraction (Age 89) including tenths and hundredths. Recognise mixed numbers and improper fractions and convert from one form to the other Adding and subtracting fractions (Age 910) 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 1011) Multiply proper fractions and mixed numbers by whole numbers, supported by materials Convert fractions to decimals (Age 910) and diagrams. Read and write decimal numbers as fractions (e.g = 71/100). Divide to make decimals (Age 910) 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 910) Round two decimal places (Age 1011) Decimal number sequences (Age 910) Understanding decimal place value (Age 910) Order decimals to two decimal places (Age 910) Round three decimal places (Age 1011) Read, write, order and compare numbers with up to three decimal places. Decimal number sequences (Age 910) Multiply decimals by 10 and 100 (Age 910) Divide decimals by 10 and 100 (Age 910) Multiply and divide by 1000 (Age 910) Add decimals in columns (age 910) Subtract decimals in columns (Age 910) Solve problems involving number up to three decimal places. Understand percentages (Age 910) Recognise the per cent symbol (%) and understand that per cent relates to number of parts per hundred. Understand percentages (Age 910) Convert decimals to percentages (Age 910) Write percentages as a fraction with denominator hundred, and as a decimal fraction. Convert decimals to percentages (Age 910) Solve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, Divide to make decimals (Age 910) 2/5, 4/5 and those with a denominator of a multiple of 10 or 25.
10 Year 6 (Age 1011) 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 910) Use negative numbers in context, and calculate intervals across zero. Add and subtract negative numbers (Age 1011) Order negative numbers (Age 1011) Solve number problems and practical problems that involve all of the above. Addition, Subtraction, Multiplication and Division Multiply multidigit numbers up to 4 digits by a twodigit whole number using the formal written method of long multiplication. Divide numbers up to 4 digits by a twodigit 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 1011) Long multiplication (Age 1011) Long division (Age 1011) Remainders divided by fractions (Age 1011) Remainders divided as decimals (Age 1011) Long division (Age 1011) Perform mental calculations, including with mixed operations and large numbers. Identify common factors, common multiples and prime numbers. Find prime factors (Age 1011) Use their knowledge of the order of operations to carry out calculations involving the four operations. Solve addition and subtraction multistep problems in contexts, deciding which operations and methods to use and why. Start to use brackets (Age 910) Move brackets in calculations (Age 910) Introduce BODMAS to order operations (Age 1011) Using BODMAS to order operations (Age 1011) Solve 2step reallife problems (Age 1011) Solve problems involving addition, subtraction, multiplication and division. Add and subtract negative numbers (Age 1011) Decimal addition (Age 1011) Decimal subtraction (Age 1011) Use times tables facts to multiply decimals (Age 1011) Use division facts to divide decimals (Age 1011) Use multiplication and division to solve number problems (Age 1011) Use estimation to check answers to calculations and determine, in the context of a problem, Use divisibility tests (Age 1011) levels of accuracy.
11 Cancel fractions (Age 1011) 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 89) Add and subtract fractions with different denominators and mixed numbers, using the concept Adding and subtracting fractions (Age 910) 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 1011) 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 1011) Round three decimal places (Age 1011) Multiply onedigit numbers with up to two decimal places by whole numbers. Decimal multiplication (Age 1011) Use written division methods in cases where the answer has up to two decimal places. Decimal division (Age 1011) Dividing decimals (Age 1011) Use division facts to divide decimals (Age 1011) Solve problems which require answers to be rounded to specified degrees of accuracy. Round three decimal places (Age 1011) Year 6 (Age 1011) 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 1011) Understand simple ratio and proportion (Age 89) Scale up ratio and proportion (Age 910) Convert ratios to fractions (Age 89); Use ratio to share in proportion (Age 1011) Algebra Express missing number problems algebraically. Use letters in algebra (Age 1011); Solve word problems using algebra (Age 1011) Use simple formulae expressed in words. Use letters in algebra (Age 1011) 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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