Whole School Progression Planning (with activities) Year group expectation Pitch and expectation of overall aim. Concept development Children count reliably with numbers from one to 20, place them in order and say which number is one more or one less than a given number R Using quantities and objects, they add and subtract two single-digit numbers and count on or back to find the answer They solve problems, including doubling, halving and sharing (Number ELG p.34 (Development Matters) Also reference Non-Negotiables count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number count, read and write numbers to 100 in numerals; count in multiples of twos, fives and tens given a number, identify one more and one less use the language of: equal to, more than, less than (fewer), most, least 1 identify and represent numbers using objects and pictorial representations, including the number line read and write numbers from 1 to 20 in numerals and words. Part conceptions Topic: Place Value Useful activities including low ceiling high threshold activities Activity resource bank Including mental & Oral starters Representations and models Numicon Not separating number names – creating a string Pot of objects moving physically Dice games Missing out number names Number Rhymes Foam hands/feet Repeating number names Digit cards Splat square Objects such as toys, buttons, beads and counters, dotty dinosaurs Using correct names, but in wrong order Nursery rhymes Bingo Bibs/hats Numicon Finger puppets Maths sticks/straws Bead strips Stories/books Unifix Abacus activities Register order Dienes Using number names in the correct order when starting from one or zero, but not when starting from another point Confusing ‘teen’ words and ‘ty’ words, e.g. fifteen and fifty Extending three and five to ‘threeteen’ and fiveteen’ rather than ‘thirteen’ and ‘fifteen’ Being confused by ‘teen’ numbers which are not read in the order that they are written, eg. 18 is read ‘eighteen’ not onety eight. Number names (as EYFS) ‘one ten and three units’ called thirteen or as ordinal numbers (thirteenth) ‘Units’ are ones…that’s what we call them Counting back and finding a number that is ‘one less than’ Pupils sometimes add digits e.g. 12 = 1+2 = 3 therefore 4 is larger than 12 When counting objects, confused by the number named and the fact that only one object is being pointed to Number lines Age-birthdays Chanting using a number stick Tens and ones exists side by side Failure to understand that numbers can be expressed in different forms, eg. 36 may be 3 tens and 6 ones or 2 tens and 16 ones… 100 Squares Door labels/numbers 1 is potentially worth different values. For example: 1 one or 1 ten or 1 hundred Each child has a number card and orders themselves; discussion/direction by peers. Counters Using large chalk, sand, water bottles to form numbers Bundles of straws Numicon 100 squares Number lines Songs x2, x5, x10 Objects such as toys, buttons, beads and counters Numicon: Show value to ‘prove it’ Circle passing Numicon piece to count in 2s, 5s and 10s Bingo Fizz-Buzz Place value partitioning cards What number am I? Describing how a number looks Ordering number cards Dienes Class golden rules Partition using straws and Dienes We can do it p46 and p54Dominoes Talk it, Solve it p15 Storybook maths pp2629Human counters Place value counters Place value mats ThHT1s mats Cuisenaire rods Maths boxes… Whole School Progression Planning: P:\11. Curriculum\Planning\Year Group Planning\Maths\Whole school resources\St Stephens maths planning\Progression Plans Vocabulary Number names Zero Ordinal numbers More than/greater than Less than Fewer Count How many? Represents Equivalent to/equals Partition Value Ones Tens Hundreds Thousands Multiply Times… Backwards Takeaway/minus Exchange Place value arrow cards count in steps of 2, 3, and 5 from 0, and in tens from any number, forward or backward Coloured tennis balls; throwing and catching compare and order numbers from 0 up to 100; use <, > and = signs 2 identify, represent and estimate numbers using different representations, including the number line Counting up is ‘add’, not ‘and’ read and write numbers to at least 100 in numerals and in words Write numbers backwards recognise the place value of each digit in a two-digit number (tens, ones) use place value and number facts to solve problems Numbers don’t stop at 100 Misunderstood vocabulary Reversal of digits is a common misconception eg. 03 for 30 or 31 for 13 Chn have cards related to 2, 3 5. Order themselves (see Year 1) Place value hats Manipulating cups with ones, tens, hundreds, thousands Putting bundles of straws with digit Chanting and counting using number lines Playing cards…mental recall Jumping up on number line 100 square pockets; deconstructed No.Sq. Straw bundles; bead strings Digit Cards Place value/position cards Ordering numbers can be confusing Challenge in pairs (create their own) Dienes Numicon Abacus count from 0 in multiples of 4, 8, 50 and 100; Fizz-Buzz find 10 or 100 more or less than a given number Take your finger for a walk around 100 square Compare and order numbers up to 1000 Roll a dice, try to make higher/lower number than partner Dice, counters, arrow cards identify, represent and estimate numbers using different representations read and write numbers up to 1000 in numerals and in words 3 recognise the place value of each digit in a three-digit number (hundreds, tens, ones) Solve number problems and practical problems involving these ideas Number stick Human numbers Number strings Confusion about the place value of numbers, eg. ordering numbers such as 212 and 221 Failure to understand that the position of the digit gives it the value Spellings numbers, songs, Wordless Bean bags/balls (keeping in the air) Make own 100 square and number line Place value cards I wonder how many…? Class number square Play your cards right Straws Lotto/Bingo Dienes Badger Year 3 Maths Zone.co.uk NNS Problem Solving…open challenges for extension Target Boards count backwards through zero to include negative numbers 100 squares Fizz-Buzz 4 count in multiples of 6, 7, 9, 25 and 1000 find 1000 more or less than a given number order and compare numbers beyond 1000 Remembering that > means ‘less than’, < means ‘greater than’ and = means ‘the same as’ Number line (as Year 3) Roll a dice/digit cards. Make smaller/larger by 10/place Maths Zone.co.uk Badger Year 4 (great for open Whole School Progression Planning: P:\11. Curriculum\Planning\Year Group Planning\Maths\Whole school resources\St Stephens maths planning\Progression Plans challenges) identify, represent and estimate numbers using different representations For decimals: Dienes Bead strings Random number generator Number lines read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones) round any number to the nearest 10, 100 or 1 000 solve number and practical problems that involve all of the above and with increasingly large positive numbers interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero Dbl sided counters…’Show me 12; 24; 36’ explain how number has been represented. Oral starter with place value chart and digit cards count forwards or backwards in steps of powers of 10 for any given number up to 1000 000 read, write, order and compare numbers to at least 1 000 000 and determine the value of each digit 5 read, write, order and compare numbers to at least 1 000 000 and determine the value of each digit read Roman numerals to 1000 (M) and recognise years written in Roman numerals read, write, order and compare numbers to at least 1 000 000 and determine the value of each digit Understanding zero (does it exist?) Understanding quantities less than zero Ordering numbers…the concept of 0 being greater than –1 can be difficult for children to understand solve number problems and practical problems that involve all of the above use negative numbers in context, and calculate intervals across zero 6 read, write, order and compare numbers up to 10 000 000 and determine the value of each digit LN Calculator key in 3 digit number eg.324. Teacher describes ones/tens/hundreds…’guess my number’ NB Dice generate 4 digit number. Chn place each digit one at a time to make largest / smallest / largest even number etc. Use generated numbers to focus on place value. Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents round any number up to 1 000 000 to the nearest 10, 100, 1 000, 10 000 and 100 000 read, write, order and compare numbers up to 10 000000 and determine the value of each digit JP A4 paper folded into 8 or 16; write digits in squares; challenge chn to make diff numbers / order / find difference / multiples / primes etc. AT Crosswords with number problems Numbers with more digits are larger e.g. 23.456 is larger than 123.5 Whiteboard – make up a 5-digit number. Order them within tables Beat the teacher with dice. Using 0-9 cards, make largest/smallest Fluency Fitness 5.1 and 5.2 Maths Out Loud Lesson 2, p.26 Numbers to a million Lessons 1-4 Abacus Y5 A1 Wk1 iPlanner Hamilton We can do it! Strand Challenges 1-6 Abacus bk1 p.4-8 (5 digit numbers); p.4-8 (rounding) Abacus bk2 p.10-12 (decimals) Collins 1 p.4-7 and 8-9 (+/numbers) Maths Out Loud…lesson 1-4 Talk it Solve it (Yrs 5-6) p.10-18 and 38-51 We can do it! Yr6 Challenge 1, 2, 3 and 15 Collins pupil book 6+ pp 4-8 Whole School Progression Planning: P:\11. Curriculum\Planning\Year Group Planning\Maths\Whole school resources\St Stephens maths planning\Progression Plans read, write, order and compare numbers up to 10 000 000 and determine the value of each digit 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 (copied from Fractions) 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) number. Chn need to be strategic KR How many 10p pieces/ £10 notes do you ned to make £1m? NB Ken Ken puzzles (kenken.com) Abacus Text book 1 Yr6 pp 4-11 Text book 2 Yr6 pp 4-10 Text book 3 Yr6 pp 4-8 Cambridge 6 Plus pp 7-11 Collins Pupil Bk 1 pp 4-9 Bk 2 pp 4-7 Bk 3 pp 4-9 solve number and practical problems that involve all of the above Online Resources: NCETM Rich maths tasks: https://www.ncetm.org.uk/resources/35813 EYFS: https://www.ncetm.org.uk/resources/35811 Misconceptions: https://www.ncetm.org.uk/resources/30033#Section_3:1 Mathematical links with other subjects: https://www.ncetm.org.uk/resources/44874 Mathematical Vocabulary: http://webarchive.nationalarchives.gov.uk/20110202093118/http://nationalstrategies.standards.dcsf.gov.uk/node/84996 Glossary: P:\11. Curriculum\Planning\Year Group Planning\Maths\Whole school resources\St Stephens maths planning\Progression Plans Whole School Progression Planning: P:\11. Curriculum\Planning\Year Group Planning\Maths\Whole school resources\St Stephens maths planning\Progression Plans
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