Rapid Recall – Division R E C E P T I O N Y E A R Children will need to explore doubling / halving in a variety of practical contexts (eg cooking, shopping, role play). Sorting activities. Sharing activities embedded in everyday routines e.g. snack time ~ sharing toast out equally, pouring 6 drinks out for each group, preparing fruit and placing equal amounts on plates. Halves of even numbers to 10 (Children still need to explore halving in a practical contexts before moving to more abstract understanding) Show Steve the Spider and Tim the Tarantula. How many pairs of socks will Steve/Tim need to keep their feet warm? Vary by having no socks on, or 1, 2 or 3 pairs. Show 10 pairs of jumbled up socks on the washing line, sort into pairs and then discuss how many children will be able to wear clean socks today? How do you know? Vary amount. Sorting a variety objects into pots – can they be shared fairly? How many are left over? Shuffle number cards (2, 4, 6, 8 and 10). Place face down. Reveal a card and say what is half of that number. (e.g. “half of 6 is 3 and double 3 is 6”). Rapid recall of halves. My double is ten. What number did I start with? ‘Bingo’ finding halves/Number fans for halves. ICT Resources Twenty_cards ITP Doubling_and_halving spreadsheet 1 Generate a set of cards. Use for matching halves (and doubles). Enables pupils to practise halving (and doubling). On the first page select the type of numbers that you want to work with. Then use spreadsheet to randomly generate numbers to be halved (or doubled) and these can be checked. Derive / recall facts for 2, 5 and 10 tables Provide everyday arrays (e.g. cake tray, egg box, seed tray). Use x / ÷ facts to describe the array. Shuffle digit cards (1-9). Place in a pile face down. Turn over one card and say multiplication fact for, say, the 10 times table. Each time, say the related division fact. Repeat for each card in the pile. Give the product (say, 20) and ask for possible number facts (using language of multiplication / division). Play dominoes – in this game, the total of touching numbers must a multiple of 2. State related division fact. Derive / recall halves of even numbers to 20 Roll 2 dice (1-6 and 2-12 even numbers only). Multiply the two digits and half the number. What are the possibilities? Which numbers won’t divide exactly in half by a whole number? Why? Is there a pattern? Give the number that is a half of a mystery number. What number are we looking for? Convince me. ‘Number Battleships’ game. Each player draws two, 3 x 3 grids and fills one grid with (even) numbers from 1-20. [other grid left empty] Take turns to say a number sentence using halves of (even) numbers up to 20. You scores a ‘hit’ if the number is on your opponent’s grid. You record number in correct place on empty grid. ICT Resources Remainders ITP Y E A R 2 Generate array (based on related multiplication facts). ‘Click’ in bottom right cell to ‘fill’ the grid. State multiplication fact and related division facts (i.e. 50 ÷ 5 = 10 and 50 ÷ 10 = 5) Number_dials ITP Doubling_and_halving spreadsheet Mult_div_facts_2_5 spreadsheet [see Y2 multiplication] Mult_div_trios spreadsheet Customise for chosen times table. Use dice roll icon to put numbers in random order. Hide / reveal numbers as required. Read / give division (and related multiplication) facts. / recall facts for 2, 3, 4, 5, 6 and 10 tables Hit the Button (www.mathszone.co.uk) IWB activity for number facts (x/÷). A speed activity – can be used for groups or individuals. Bingo – Children choose numbers between 0 and 10. Teacher calls out the product and children look to see if they have the divisor. Reveal a domino to create a TU number. State a known (x / ÷) fact related to the number. [Agree a system for scoring points] Chanting division facts backwards and forwards, not always starting at the beginning. Roll 2 dice to create a product. Children can then derive division facts related to the number e.g. 3 x 4 = 12, so 12 divided by 4 is 3 etc. (focus on 2, 3, 4, 5, 6 and 10 tables). Roll the dice (1-9). Each time, recall (x / ÷) facts for either the 2 / 3 / 4 / 5 / 6 / 10 times tables. [Agree a system for scoring points] Link back to multiplication ideas focusing on the inverse. Derive Derive / recall halves of even numbers to 40 Give the number that is a double a mystery number. What number are we looking for? Convince me. ‘Number Battleships’ game. Each player draws two, 4 x 4 grids and fills one grid with (even) numbers from 1-40. [other grid left empty] Take turns to say a number sentence using halves of (even) numbers up to 40. You scores a ‘hit’ if the number is on your opponent’s grid. You record number in correct place on empty grid. Y E A R ICT Resources Mult_div_facts_2_to_6 spreadsheet Randomly generates a four by four multiplication grid that can be used to rehearse the pupils’ knowledge of division (and multiplication) facts. 3 Mult_div_trios spreadsheet [see Y3 multiplication] Number_dials ITP Customise for chosen times table. Use dice roll icon to put numbers in random order. Hide / reveal numbers as required. Read / give division (and related multiplication) facts. Multiplication_tables ITP [see Y5] Derive / recall facts up to the 10 times table Learning Clips website – interactive whiteboard games. Give children a number and ask them to find as many division facts (in 3 mins) connected to that number. Give children a times table fact and ask them to write the corresponding division facts. Follow-me cards with division facts. Bingo – Children choose numbers between 0 and 10. Teacher calls out the product and children look to see if they have the divisor. Chanting division facts backwards and forwards, not always starting at the beginning. Roll 2 dice to create a product. Children can then derive division facts related to the number e.g. 6 x 7 = 42, so 42 divided by 6 is 7. ICT Resources: Number_dials ITP [see Y3] Multiplication_facts ITP [see Y5] Mult_division_miss_numb_sign spreadsheet Y E A R Mult_div_trios spreadsheet [see Y2] Number_boards spreadsheet Enables you to quickly display a 5x5 grid of random numbers that can be used to rehearse division (and multiplication) facts. e.g. Use 45 and 5 in a division sentence 4 Number_grid ITP Change starting number, number of columns to increase the challenge. Identify, for e.g., multiples of 4, 6. How many 6s make …? How many 8s make ….? Recall quickly facts up to 10 times table Give children a times table fact and ask them to write the corresponding division facts. Follow-me cards with division facts Bingo – children choose numbers between 0 and 10. Teacher calls out the product and children look to see if they have the divisor. Chanting division facts backwards and forwards, not always starting at the beginning. ‘Largest remainder’ game. Use digit cards (0-9). Each player picks three cards and arranges them to make TU ÷ U that gives the largest / smallest possible remainder. [Agree a system for scoring points] Reveal domino to create TU number – 1 minute to say / write as many division facts connected to that number ICT Resources Number_dials ITP [see Y3] Multiplication_tables ITP Y E A R Customise for, say, x4, x7, x9 facts. ‘Click’ below columns to put numbers in random order. Hide / reveal column numbers and products. Mult_division_miss_numb_sign spreadsheet [see Y4] Sum_product_difference spreadsheet [see Y6] Mult_and_division-facts spreadsheet 5 Target Board Target board – division targets using full range of times tables facts. Derive facts involving multiples of 10 / 100 (e.g. 240 30) and decimals (e.g. 4.8 6) Bingo – Children choose numbers between 0 and 10. Teacher calls out the product and children look to see if they have the divisor. Chanting division facts backwards and forwards, not always starting at the beginning. Roll (1-9) dice two / three times. Create U.t U calculation. Give correct inverse calculation. [Agree a system for scoring points] Roll a pair of (0-9) dice to create a TU number. State the factors. Convince your opponent. [Agree a system for scoring points] ‘Largest remainder’ game – [see Y5] ICT Resources: Number_dials ITP [see Y3] Mult_div_facts_mixed spreadsheet Y E A R Sum_product_difference spreadsheet Hide all numbers. Reveal product value. Explore possible combinations of ‘missing’ pair of numbers. Reveal sum or difference value to help find unique solution. 6 Target Board
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