Expectations Y R Count in multiples of 1,2,5 and 10 Use rhymes, songs, stories etc. to support as well as a range of visual aids Progression in recording Pupils can double numbers practically. Pupils can combine groups of numbers (2s, 5s and 10s) practically Vocabulary Double Pictures, objects and symbols are used Double 4 is 8 3 groups of 2 makes 6 Y1 Count in multiples of 1,2,5 and 10 With teacher support: Solve 1 step problems involving X by calculating the answer using concrete objects, pictorial representations and arrays Y2 Y3 Y4 Y5 Y6 Count in multiples of 2,3, 5 and 10 from 0 to 100 Recall and use X and division facts for the 2, 5 and 10 times tables Show that X of two numbers can be done in any order Calculate X statements using X and =. (Use the inverse for checking) Solve X problems using repeated +, materials, arrays and mental strategies Practically combine groups of objects and numbers Begin to become familiar with arrays with support of and record what has been found out. the teacher. Mum washes 5 pairs of socks, how many socks 5 + 5 + 5 =15 did she get out of the 2 + 2 + 2 + 2 + 2 = 10 3 + 3 + 3 + 3 + 3 = 15 machine? Use arrays for repeated addition and relate to Use a number line for repeated addition. the X calculation. 6 lots of 3 5 + 5 + 5 =15 3 + 3 + 3 + 3 + 3 = 15 6 X 3 = 18 5 X 3 = 15 3 X 5 = 15 +3 +3 +3 +3 +3 +3 0 3 6 9 12 15 Arrays Multiply Multiple Arrays Multiply Multiple 18 Count in multiples of 4,8,50 and 100 from 0 Recall and use X facts for 3,4 and 8 times tables Continue to solve increasingly complex missing number problems solve positive integer scaling problems and correspondence problems in which n objects are connected to m objects Introduce grid method by linking to arrays initially and further to base 10. 12 X 3 = 36 X 10 2 Use grid multiplication to multiply TU X U for known table facts e.g. 12 X 3 = 36 Count in multiples of 6, 7, 9, 25 and 100 Recall tables and use facts for all tables up to 12 X 12 Multiply 2 and 3 digit numbers by single digit using formal layout ( HTU X U and TU X U ) Use knowledge of X facts to multiply 3 single digit numbers in the most appropriate order (e.g. 7 X 8 X 2 not 2 X 8 X 7 ) Consolidate grid method from Y3. Extend to HTU X U. Use base 10 or place value counters if needed. 412 X 3 = 1236 1200 X 400 10 2 30 + 6 3 1200 30 6 1236 Move to short multiplication ( TU X U and HTU X U) 24 452 X 6 X 3 144 1356 Ensure links are made 2 1 between grid and short X to aid understanding Formal column X Identify all multiples and factors including finding factor pairs and common facts of 2 numbers Recall prime numbers to 19 Calculate prime numbers to 100 Multiply whole numbers and those involving decimals by 10, 100 and 1000 Recognise, use and solve problems using square numbers and cube numbers Multiply proper fractions and mixed numbers by whole numbers For short multiplication use the grid method moving towards the standard method—see Y4. Introduce long multiplication using the grid method. Move to formal long multiplication with simple numbers (ThHTU X U or ThHTU X TU)moving to more complex. Prime numbers Prime factors Composite numbers (non- prime numbers) Square numbers Cube numbers Proper fractions Mixed number Remainder Multiply multi-digit numbers up to 4 digits by a 2 digit whole number using long multiplication Identify common factors, common multiples and prime numbers Perform mental calculations, including mixed operations and large numbers Short and long multiplication as in Year 5, but apply to numbers with decimals. Extend with algebra. 3.19 X 8 25.52 1 7 3 X 40 2 20 800 40 3 120 6 800 120 40 + 6 966 34 X 13 102 340 442 X 10 2 3 30 6 30 + 6 = 36 X (34 X 3) (34 X 10) Grid method Integer Scaling Correspondence 1234 8 9872 123 Common factors Common multiples
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