How to Use this Document At Portland we believe that homework is important and are happy to set appropriate homework for your child. This homework help sheet gives you a range of fun, practical ideas to help your son or daughter in number. Your child’s teacher will let you know what P-Level or National Curriculum level your son or daughter is working at. This document will give you a range of activities to enjoy with your child to help with their learning at home. If you have any questions, please do not hesitate to contact your son or daughter’s teacher. Portland Academy Homework P4 - Number P Level Descriptor Homework Ideas Pupil can participate in rhymes at an appropriate point, with occasional prompts, e.g. by pressing a single switch, by indicating with finger pointing or eye pointing to the next in a sequence. Pick a counting song that your child really enjoys listening to or singing e.g. 5 Little Speckled Frogs, 5 Currant Buns etc. Sing the song several times, emphasising the numbers and their sequence. This could be extended by using flashcards/fingers/pictures/actual currant buns to support the idea of number. If appropriate get your child to choose the correct number using the flashcards or by picking the correct number of objects. Eye pointing can be used if required. Pupil can use a finger to indicate 'one'. Show your child several objects. Remove an object while counting backwards until only 1 remains. Use a finger to indicate ‘1’. Repeat the exercise with different objects and emphasise ‘1’ with 1 finger. This could be extended by using 2 fingers or 3 to represent each number. Reinforce the concept during different activities or during everyday interactions by asking questions where the answer is ‘1’ and asking/modelling the use of 1 finger. Songs such as ‘1 finger 1 thumb keep moving’ could be a fun way to engage your child too! Pupil can begin to anticipate the ending or key elements of rhymes, songs and number games. Select a number song or rhyme that your child is familiar with or enjoys. Use props to support the concept of counting e.g. ‘5 Fat Sausages’ using real sausages in a pan or ‘5 Green Bottles’ with real bottles. Get your child to remove/add an item each time with support from yourself and continue with the song. If your child is able to do this, try leaving a deliberate pause at the end of each line of the song for your child to say the number, point to a flashcard, eye point to an object etc. to complete the line of the song. Pupil follows a sequence as indicated by an adult, e.g. the sequence of the rhythm of counting as in a rhyme, or a sequence of pictures used to show a simple rhyme, 5 frogs as they jump off the log. Work with your child while singing familiar rhymes. Get them to listen to the sound of your voice and join in the rhythm where possible. See if your child can anticipate the next stage in the song or rhyme by the way they react e.g. become excited or change body language. Try using a series of photographs with an obvious sequence, e.g. before, during and after and get your child to try and order them. Make a familiar snack/drink where possible with your child helping with the sequence e.g. mix, put in the oven, remove from the oven. Portland Academy Homework P5 - Number P Level Descriptor Pupil demonstrates awareness of contrasting quantities where there is a marked difference, e.g. one cake and lots of cakes on plates. Homework Ideas Try finding something your child likes e.g. sweets, toy cars etc. and place into containers. Give your child a container with a smaller amount and watch their reaction. Encourage them to try and communicate that they would like the larger amount. Try and use words like more, less, biggest, smallest, fewer, larger, more etc. when communicating with your child. Try changing the amounts in the containers so that they are less obvious but still of different amounts as your child becomes more confident. Pupil can join in by saying, signing or indicating Using Play-dough try making sausages for a pan for counting rhyme ‘5 Fat Sausages’ or frogs at least one of the numbers in familiar rhymes, for ‘5 Little Speckled Frogs’ etc. Get your child to say/sign/point to the number as it is stories, games and practical activities. required in the song. Read number stories with your child and ask them to try and count as they listen or point to the correct number of objects. Activities such as setting the table at meal times could also include counting e.g. could you pass me 3 knives please? How many forks do we need now? Etc. Pupil can show and name one finger then show another and name the quantity as two. Carry out a variety of activities with items which are in pairs e.g. shoes, gloves, earrings, socks etc. Give your child ‘1’ of each thing using your finger to emphasise the number. See if your child can imitate as they examine the objects and use their finger. Try introducing the matching object and model the use of 2 fingers. See if your child can imitate the use of 2 fingers. Try this a few times and then muddle up the items. How many earrings are there? How many socks are there? Get your child to respond using 1 finger and 2 fingers. Portland Academy Homework P6 - Number P Level Descriptor Homework Ideas Pupil can recognise the numerals 1 and 2 during a range of activities. Try creating some basic flashcards with the numbers 1 and 2 written clearly in large font. Try giving children a number of objects (either 1 or 2) and get the children to match the correct card to the number of objects. You could also try providing numbers to 10 on random cards and seeing if your child can recognise the numerals 1 and 2, saying or signing their name or even extending the relevant number of fingers. Try pointing out numerals 1 and 2 when out and about, looking at signs, using lifts etc. Pupil can recognise the numerals 1, 2 and 3 during a range of activities. Try creating some basic flashcards with the numbers 1, 2 and 3 written clearly in large font. Perhaps stick cards onto a cupboard door and ask them to find something in cupboard 1 etc. Try giving children a number of objects (either 1,2 or 3) and get the children to match the correct card to the number of objects. You could also try providing numbers to 10 on random cards and seeing if your child can recognise the numerals 1, 2 or 3 saying or signing their name or even extending the relevant number of fingers. Other practical methods such as using a TV remote control or operating a lift would also be beneficial. Pupil can rote count to 5. Practice rote counting when in the car or around the house using counting rhymes etc. Counting when completing cookery activities e.g. counting the number of spoonfuls etc. Try verbally modelling to you child how to say the numbers clearly and offer rewards for success. Where appropriate, try supporting using Makaton, I-Pad apps or other forms of communication to help rote counting. Pupil can join in with counting in new songs, stories and games which contain a repetitive counting element. Try a variety of counting songs which have a repeating pattern that your child understands. Encourage them to join in, predict the next part of the song. Ideas for songs can be found here: http://www.bbc.co.uk/schoolradio/subjects/mathematics/countingsongs Board games can also be a good way of reinforcing counting. Simple games such as snakes and ladders can help children to practice counting through repetition. You could even try creating your own simple board game using the interests of your child! Portland Academy Homework P6 - Number P Level Descriptor Homework Ideas Pupil can use numbers to 5 in familiar activities and games. Support your child by playing simple games such as snakes and ladders and dominoes which involve counting and saying/signing numbers to 5. Games such as bingo encourage the children to read numbers too. Any counting of objects in a context such as cookery is also extremely beneficial. Try to use your child’s interests to engage them, e.g. who could be the first to count 5 buses? Let’s count the number of people in One Direction, how many are in this band? etc. Pupil can use ‘one to one’ correspondence when pairing objects, e.g. put a straw in each carton of milk, put a spoon in each cup. You could support your child be encouraging them to set the table for meals, putting 1 plate for 1 person, 1 cup for 1 person etc. supporting your child to say the relevant number each time they place an object. Any activities where counting is clearly supported by an action will help to reinforce the idea that 1 object equals 1 number. Using food is often a good way to motivate e.g. eat 3 chocolate buttons and support your child to eat 1 at a time until they have eaten a total of 3, communicating the number of the name each time. Pupil can demonstrate an understanding of the concept of more, e.g. a child giving out cups has not got one for each child and indicates they need ‘more’. Support your child by carrying out activities in which they must give objects to people or put them in places but do not give them sufficient objects. E.g. when decorating cakes, put a sweet on top of every cake but not 3. Explain that they will need more sweets. Try comparing 2 different amounts of pencils etc. Have 1 large pile and 1 small pile. Explain that there are more in the large pile. Put some more on the small pile to make it the same size. Share cards with characters on and leave one person out. Demonstrate that they need more so that everyone has a card etc. Pupil can count 3 objects reliably when presented in a line. Pupil can make sets of up to 3 objects, e.g. count 3 pencils, count 3 pens etc. Try taking 3 objects in which your child is interested and place them neatly in a line with clear separation between each object. Model counting to 3, touching each object and saying the name of the number. Stop very precisely after 3 and confirm that there are 3 buttons, sweets etc. Ask your child to have a go and reward when successful. Try taking a mixture of objects e.g. socks, spoons and coins (about 10 of each). Ask your child to find 3 coins and place onto a tray or into a bowl. Keep supporting them ensuring that they stop when they have 3 and rewarding success. Portland Academy Homework P6 - Number P Level Descriptor Homework Ideas Pupil can relate numerals 1, 2 and 3 to the number of objects. Try making some cards with the numbers 1, 2 and 3 written on clearly (your child could even help you). Give your child a set of 3 objects which interest them, this could be pencils, stickers, toys, sweets etc. Model the activity for your child by placing 1 object next the number 1, 2 objects next to the number 2 etc. Reinforce by clearly saying the number aloud and giving a reward for correctly matching the correct number. Repeat the activity several times. Try assessing what your child has understood by showing them a number and seeing if they can give you the relevant number of objects. Pupil understands that the last number in a count represents the number of objects in a set. Pupil can count at least 5 objects reliably when presented in a line. Make sets of up to 5 using objects, e.g. count 5 cups, count 5 straws, etc Begin by placing 5 objects in a neat line with clear spaces between each object. Model counting for your child and clearly touch or move each object as counted. Ask your child to do the same, providing support to stop on the last number. Give your child a variety of different objects e.g. straws, cups, buttons etc. (at least 7 or 8 of each). Ask your child to count 5 buttons, physically moving each button as they say the name of the number out loud. Prompt them to stop after counting 5 buttons. Consolidate by trying in real contexts e.g. check that there are the correct number of spoons please etc Portland Academy Homework P7 - Number P Level Descriptor Homework Ideas Pupil can relate numerals 1-5 to the number of Begin by creating some flashcards with your child, possibly getting them to help create the objects. numbers. 1-5. Write the names of 5 objects on another set of cards e.g. tins, socks etc. Turn all of the cards face down and ask your child to randomly turn over a card from the number pile and another from the object pile. See if your child can find 5 tins or 3 spoons etc. Pupil can join in with rote counting to 10. Encourage your child to join in counting in the car (counting cars, buses etc.) by rote and by counting objects. Count as far as your child is able and reward for identifying the next number that they reach correctly on the way to 10. Try and incorporate counting into everyday activities such as setting the table, preparing meals, washing hair, fastening buttons. Pupil can count reliably at least 5 objects when Place objects in a random position on a table and encourage your child to move each object randomly placed on the table, into a line/pile/bowl whilst counting aloud. Begin with 2 objects and increase until your e.g. pupil orders objects to count. child is able to count 5, moving the object to show that it has been counted. Try this with more objects than the required number e.g. 10 buttons and ask your child to count 5 buttons. Remind your child to stop when they have counted 5. Pupil can respond appropriately to the question ‘How many?’ when working with numbers up to 5. Work with your child to develop their understanding that 1 object corresponds to 1 number when counting. Try playing a game such as count the secret footsteps to a hidden object, saying names of numbers aloud as steps are taken. Try other games such as treasure hunt, finding objects and then counting ‘how many’ your child found. Complete activities in real life contexts such as ‘how many’ biscuits are on the plate etc.? Portland Academy Homework P7 - Number P Level Descriptor Homework Ideas Pupil can recognise numerals from 1-5. Make a set of flashcards with your child, encouraging them to support with writing numbers. Place all of the cards face down on a table or on the floor. Turn over a card, encourage your child to say the name of the number and give a prize if correct. If possible, try making a larger set of number cards from 1-5 and ask your child to walk or jump to a particular number. Using buttons on television remote controls, operation microwaves, using a lift and reading signs in the community are all ways in which numbers from 1-5 can be consolidated. Pupil demonstrates an understanding of less, e.g. indicating which plate has less biscuits on it. Show your child two containers containing items that they are interested in e.g. food, toys cars etc. making one container have noticeably less items than the other. Give your child the bowl/container with fewer objects inside. Emphasise that they have ‘less’ objects. Try a game sharing a set of objects/biscuits etc. Give one person much fewer than everyone else and emphasise that they have ‘less’ than everyone else. Compare containers of fluid and ask which has less fluid. Ask questions relating to everyday scenarios e.g. which cupboard has less items? Which plate has less cakes? Etc. Pupil can, in practical situations, respond appropriately to ‘add one’, e.g. add one more sweet to the dish. Try building towers out of Lego bricks with your child. Use vocabulary of ‘add 1’ when adding bricks to a tower. Ask your child to ‘add 1’ to their tower. Try creating 3 towers using bricks of different colours. Ask your child to add 1 brick to the green tower etc. You could try following a recipe with your child, supporting and prompting them to ‘add 1’ spoon of an ingredient or to ‘add 1’ egg. Emphasise that adding 1 is not the same as adding an amount greater than 1 and try to emphasise the difference between adding 1 and adding more than 1. Pupil can recognise numerals 1 to 5 and relate each numeral to the correct quantity, understanding that numeral always represents that quantity. Write flashcards for numerals 1 to 5 and place in ascending order on a table. Ask your child to give you a number of objects which match the number 1. If your child is able to do this , move onto number 2 and continue to 5. If your child struggles with this, try placing the correct number of items beside each number and ask your child to match the number of objects until they can do this without support. Once your child is confident, attempt ordering the numerals randomly and ask for the number of objects to be given. Practise in the community by asking your child to look for signs etc. and show the correct number of fingers to correspond to the numeral. Portland Academy Homework P7 - Number P Level Descriptor Pupil can match the pattern on a dice to the numeral. Homework Ideas Try playing simple games such as Snakes and Ladders, or Ludo, seeing if your child can move the correct number of spaces after rolling the dice. If your child is unsure, get them to count the spots on the dice, perhaps even using a larger dice with easier to see spots. Try playing bingo where every person has a set of numbers and they must roll these numbers using the dice and the first person to get all of their numbers wins. Continue to emphasise the counting of the spots until the pattern of the dice becomes familiar. Portland Academy Homework P8 - Number P Level Descriptor Homework Ideas Pupil can rote count to beyond ten, e.g. 11, 12. Get your child to count to 10 as many times as they can. Try making this fun by seeing how quickly your child can count to 10 etc. Once your child is confident with this, being practising with numbers passed 10, getting 1 higher each time. Reinforce by seeing how quick your child can count each time., correctly rote counting to their new target number. Practice counting in different situations, counting as high as possible each time. If your child starts to make errors continuously, try lowering the target number and increasing gradually as they become more confident. Pupil can use the vocabulary of first, second, third and last when describing the position of people or objects or the order of events. Try taking part in simple activities such as races, competitions etc. focusing on who came first, second, third and last. Order the different events using labels if appropriate. Try following simple instructions for basic recipes using first, second, third and last when adding ingredients. When shopping, have a list of things that need to be bought and choose the things that need to be bought first, second, third, etc. Pupil can recognise numerals 1 to 9 when represented in order and randomly. Create some flashcards with the numbers 1-9 written on. Try turning them all face down in numerical ascending order. Ask your child to turn over one card at a time starting with number 1. Ask your child to say the name of the number and continue the process until your child can say all of the numbers correctly. Once your child can do this activity confidently, try removing a number from the line and ask your child which number is missing. To extend this activity, try mixing up the numbers so that they are in random order, asking your child to name the numbers as the cards are turned over. Pupil can count up to ten objects Try placing a number of objects on the table in a random position, preferably objects that interest your reliably when randomly placed on the child. Begin with a number less than 10 which your child is comfortable with and model placing each table, e.g. pupil orders objects to count. object into a different container or into a line as it is counted, saying the correct number aloud each time. Encourage your child to try this themselves, supporting to move the object each time and reminding them to say the number aloud as they count. Repeat the process, increasing the number of objects each time until they are able to count 10 in a reliable manner. Portland Academy Homework P8 - Number P Level Descriptor Homework Ideas Pupil can estimate a small number, e.g. 1, 2 or 3 and check by counting. Try giving your child a plastic box with items in. Ask them to ‘estimate’ or ‘guess’ how many shapes are in the box. Once they have estimated, get your child to remove the lid and count the objects. Were they close? Was it a good ‘estimate’? Try the same activity using feely bags, feeling the number of items and making an ‘estimate’? Remind your child that an estimate is a ‘clever guess’ and get them to check to see if they are close by counting. Increase the amount of objects until your child can consistently estimate with reasonable accuracy. Try estimating while out and about e.g. How many birds do you think are over there? Pupil can continue the rote count onwards from a given small number. Make a set of flashcards containing 1-10 or whichever number your child is confident with. Place the cards face down in ascending numerical order. Ask your child to turn over a card and read the number. Continue to ascend until all of the cards have been turned the correct way. Practice again from the same starting number, seeing if your child can go faster than on their previous attempt. Try beginning from a different starting point and see if your child can continue to rote count as high as possible. Once this has been done a few times, see if your child can complete the same activity without using the flashcards. Pupil can use ordinal numbers (1st, 2nd or 3rd) when describing the position of objects, people or events. Recap on the vocabulary of first, second and third with your child. Explain that they are to do with position. Perhaps you could draw a picture with your child showing a race taking place between some of their favourite characters (you could use the internet or a catalogue to find pictures). Talk about who is first, second and third. Introduce your child to the ordinal numbers 1st, 2nd and 3rd. Talk about the ways in which these reflect position 1, position 2 etc. See if your child can make winners badges/rosettes with 1st, 2nd and 3rd before positioning them on the correct characters. Pupil can in practical situations add one to and take one away from a number of objects (up to 10) then say or sign how many there are now. Give your child a set of objects in a container and ask them to count the objects. Once they have definitely counted the objects correctly, ask them to ‘add’1 object to the container. How many are there now? Get your child to count and produce the answer. Try the same activity in reverse by asking your child to ‘take away’ 1 and check by counting. Once your child is confident giving the answer verbally/signed/showing card/eye pointing etc. try to get them to use a simple 1-10 number line to support their addition and subtraction. Ask questions such as, ‘If there are 9 in the bowl and I add 1, how many will I have?’, using the number line to support calculation. Portland Academy Homework P8 - Number P Level Descriptor Homework Ideas Pupil can recognise numerals 1 to 9 and relate each numeral to the correct quantity, understanding that numeral always represents that quantity. Write flashcards for numerals 1 to 9 and place in ascending order on a table. Ask your child to give you a number of objects which match the number 1. If your child is able to do this , move onto number 2 and continue to 9. If your child struggles with this, try placing the correct number of items beside each number and ask your child to match the number of objects until they can do this without support. Once your child is confident, attempt ordering the numerals randomly and ask for the number of objects to be given. Practise in the community by asking your child to look for signs etc. and show the correct number of fingers to correspond to the numeral. Pupil can compare two given Make flashcards 1-10 and give your child contrasting numbers e.g. 1 and 10 or 2 and 9. Ask your child to count numbers of objects saying which out a set of objects into a different container for each number. Look at the different amounts and try to link to is more and which is less. the numbers by placing flashcards beside each container. Use the vocabulary of ‘less’ and ‘more’, perhaps using cards containing the words and ask your child to identify the number which has less and the number which has more. Keep doing this until you can complete without using objects for containers. Try completing this type of activity in a range of contexts e.g. when sorting piles of washing ‘Which pile is less and which is more?’ etc. Portland Academy Homework Level 1 - Number Level Descriptor Pupil can count up to 10 objects, e.g. Count out seven beads from this box of beads. Show different groups of objects, e.g. 5 dinosaurs, 8 bears, 7 cars. Which group contains 8 items? Match digit cards to the numbers in each group. Pupil understands addition as finding the total of two or more sets of objects, Homework Ideas Help your child to count out a variety of items in as many different contexts as possible e.g. Get me 7 toys from this box please/Put 4 spoons of sugar into there please/push the button 2 times. Try working with numbers up to 10 until your child is able to do so confidently. Introduce flashcards containing digits so that your child can make links between the number of objects and the actual numeral e.g. Can you pass me 8 socks please? Which card shows me the number 8? You could even ask your child to begin writing the number where appropriate to promote early number formation. Get your child to combine 2 sets of objects, working with totals that they are comfortable with (begin with 10 or less). Count to identify how man objects are in each set and then combine the sets. Count all of the objects together and find the total. Continue to use words such as total, altogether, e.g. Find all the dominoes that have a total add, addition, sum, plus. Experiment with different ways of making a total. Give your child 3 of 7. buttons and ask them to try and make 7 buttons asking questions such as ‘How many more buttons do I need?’ or ‘How many buttons would I need to make 7 if you started with 6?’ Work with dice to Show me 3 fingers on one hand and 4 help create numbers to add together, perhaps playing simple board games with 2 dice to add totals. fingers on the other. How many are you showing altogether? Can you give me another way of showing 7? Portland Academy Homework Level 1 - Number Level Descriptor Homework Ideas Pupil understands and uses the vocabulary Complete a variety of different practical addition and subtraction activities with your child using involved in addition and subtraction. different items as counters. Try and keep the totals below 20 or 10 depending on the confidence of your child. When asking questions related to addition, try and use vocabulary such as: plus, e.g. Including 'sum', 'add', 'plus', 'total', altogether, sum, add, addition, total, one more, two more etc. When working with subtraction try 'one more', 'two more', 'altogether', using vocabulary such as: one less, how many left, how many have gone, take away, subtract, minus, 'minus', 'take', 'how many have gone?', what is the difference. 'one less', 'two less', 'leaves', 'how many are left...?' Pupil can read and write numbers to 10 including 0, e.g. Put the number carpet tiles 1-10 randomly on the floor. Which tile has the number 8 on it? 3? 9? Recognise and say numbers in the environment. Say the numbers 1-10 in a random order. Write the number spoken. Try making flashcards containing numbers 0-10. Hide them around the house in obvious locations. Ask your child to go and find one number at a time and return it. If they bring the correct item, reward your child but if they bring the incorrect item, return it to the original location. Practice writing numbers by creating dot-to-dot patterns for your child to create, using I-Pad apps, drawing in shaving foam on a tray, making pasta pictures by gluing dried pasta in the shape of a number, finger painting, potato printing etc. Portland Academy Homework Level 1 - Number Level Descriptor Pupil understands subtraction as taking away objects from a set and finding how many are left, e.g. There are 6 apples in the bowl, if 3 children take one each, how many will be left? Homework Ideas Work with a container of objects and ask your child to count them all. Begin with a number below 10. Tell your child that they are going to ‘take away’ 3 of the objects. Get your child to count clearly 1,2,3 as they remove each of the objects. Put the objects that have been removed out of site and ask your child to count ‘how many are left’. Try this process with a variety of different objects and with a variety of different starting points. Once your child becomes more confident with the process, begin with the objects on the table without a container and get them to take away by placing into a separate pile. Continue to reinforce language such as: subtract, minus, take away, less, how many left, what is the difference? There are 8 outfits in the dressing up box. If 5 outfits are being used, how many are left? Show your child a selection of coins and discuss their values. See if they are able to match labels for each coin e.g. 2pounds to a £2 coin. Once they are familiar with all of the different coins up to £2, e.g. Spread a number of coins on the table. try and introduce the £ sign. See if they can match the label ‘£2’ to a £2 coin etc. Try this will all of Can you find me a 10p? Can you find me a the different values of coin. Once your child is confident you could try playing ‘shops’, creating price 2p? labels for items that represent each of the different coins. Get your child to approach the shop and Describe what a £2 coin looks like. ask for an item. Tell them the price and see if they can choose the correct coin to pay with from a Describe a 50p. selection. Try playing guess the coin. Give your child clues based on size, shape and colour of coin, seeing if they can guess from the clues while looking at a selection of coins. Pupil can recognise coins up to £2, Portland Academy Homework Level 1 - Number Level Descriptor Homework Ideas Pupil can add and subtract numbers of Give your child a variety of different objects with which to count. See how many different ways your objects to 10, child can make a certain number to 10 by adding different amounts of objects. Try giving your child a simple addition calculation and get them to make 2 sets of objects and combine them before e.g. Count 4 pennies into a purse. Show 3 counting the total. Try the same with subtraction, giving your child a set of objects and asking them more pennies in your hand. How many to take away a certain number. Get them to count the amount that are left and provide an answer. pennies are there in total? Try and work with as many different pairs of numbers when adding and subtracting up to and Put 8 biscuits on to a plate. Can the child including 10. take 5 away and work out how many are left? Pupil can order numbers to 10 including 0, e.g. Put the numbers 3, 8, 2 and 6 in order. Tell me a number that would come between 3 and 6. Count back in ones from 9. What number would come before and after...8? 5? Make a set of flash cards from 0 to 10. Try using a washing line or a piece of string and get your child to peg cards to the line/string in the correct order. See if your child can recognise a missing number when you have 5 or 6 cards on the line. Try ordering the numbers backwards, starting at 10 and working backwards to 0. Again, try missing a few numbers out and see if your child is able to fill in the missing numbers. Try giving your child 3 or 4 numbers from 0 to 10. See if they can order the numbers from smallest to largest and vice versa. Portland Academy Homework Level 1 - Number Level Descriptor Pupil knows some simple addition facts, e.g. Double 4, 1, 3, perhaps using fingers to support. Use fingers to support knowledge of number bonds for number 10. Pupil can sort and classify objects. e.g. Sort familiar objects, numbers and shapes in a variety of simple ways, e.g. lists, tables, hoops, sorting trays. Homework Ideas Practice with your child learning different number bonds to 10. e.g. 3+4=7, 4+5=9 encouraging your child to use their fingers to support. Give your child objects and see if they can create as many different ways of making totals as possible. Remove the objects and see if they can recall these facts using only fingers or from memory. Introduce your child to the idea of doubles by giving them objects and asking them to add the same number of objects again e.g. 4 buttons added to another 4 buttons. Try and learn double 1, double 2, double 3, double 4 and double 5, using fingers to support too. With your child, gather a variety of objects with similarities e.g. socks. Ask your child how they could sort the socks e.g. by size, colour, pattern etc. Try the same with numbers and ask your child to sort number cards into piles of odd/even, larger than 5/smaller than 5 etc. Try the same with shapes seeing if your child can sort by the number of sides or number of corners. See if your child can sort objects in different ways in practical contexts. Perhaps they could help sort cutlery into different compartments, sort washing into piles or tidy drawers by classifying and sorting the objects within them. Portland Academy Homework Level 1 - Number Level Descriptor Pupil can begin to use the fraction one half, e.g. Find the glass that is half full. Empty this cup so that there is half left. Homework Ideas Have a look at a variety of different examples of halves. Make or share a pizza with your child. Support your child to put toppings of different sorts on each half and then cut neatly into halves. Explain that each side is exactly the same size. Experiment with sandwiches, pieces of paper etc. demonstrating half. Try to find half of a group of objects by splitting them into 2 equal groups. Share a packet of sweets by giving exactly the same amount to each person. Explain that is not half if one person has more than another. Give the child a square piece of card and ask them to fold in half. Repeat with other shapes. Can you make 2 equal teams from this group of 8 children? Pupil can solve addition and subtraction problems involving up to 10 objects in a range of contexts, e.g. how many different ways could you show the eight spots on this ladybird? An orange costs 9p. I have 4p. Can you find the correct coins so that I can buy the orange without needing change? Give your child addition problems in the context of words and in practical situations using numbers up to and including 10. Try examples such as: ‘I’ve got a tray with 8 biscuits on but I’ve dropped 2 on the floor. How many have I got left for my guests?’ Try problems involving a dice, asking your child how many different totals they can make using numbers on opposite faces on the dice. Try and involve things such as measures in terms of grams, centimetres, millilitres etc. in readiness for working with larger numbers. Portland Academy Homework Level 1 - Number Level Descriptor Homework Ideas Pupil can create and interpret simple block graphs and pictograms. e.g. Children collect information and organise it into simple block graphs and/or pictograms, e.g. to identify the most common eye colour, children line up in rows or make cube towers of the same colour (4 brown, 3 green, 7 blue). Answer questions such as 'How many children have brown eyes?', 'How many more children have blue eyes than green eyes.' Get your child to think of a question that they would like to find the answer to or pose a question for them e.g. Which is the most common advert on TV out of these 3? What are my family’s favourite food out of pizza, curry and pasta? Get your child to carry out a quick survey to answer their question and then place their results into a block graph or pictogram. Ask questions such as: ‘How many people like curry the best? ‘ ‘Which is least popular?’ ‘How many more people like pasta than pizza?’ Pupil can solve addition and subtraction problems involving up to 10 objects in a range of contexts, e.g. how many different ways could you show the eight spots on this ladybird? An orange costs 9p. I have 4p. Can you find the correct coins so that I can buy the orange without needing change? Give your child addition problems in the context of words and in practical situations using numbers up to and including 10. Try examples such as: ‘I’ve got a tray with 8 biscuits on but I’ve dropped 2 on the floor. How many have I got left for my guests?’ Try problems involving a dice, asking your child how many different totals they can make using numbers on opposite faces on the dice. Try and involve things such as measures in terms of grams, centimetres, millilitres etc. in readiness for working with larger numbers. Portland Academy Homework Level 2 - Number Level Descriptor Homework Ideas Pupil can count sets of objects reliably, e.g. There are 24 individual socks. How many pairs of socks will there be? There are 10 straws in each bundle. If I give you 3 bundles and 4 single straws how many straws will you have altogether? How many 5p coins will total 35p? Get your child to count a number of objects e.g. 30 Lego bricks. Try counting in 1s, moving each brick as it is counted. Try placing the bricks into groups of 2, 5 or 10 and count the groups in their multiples with support. Try the same with money, counting individual 1p coins to 20p. Try experimenting with using 5p and 10p coins to 20p. Can they make the 20p using these coins. Emphasise the need to double check any counting that they have done to ensure accuracy. Pupil can use mental recall of addition and subtraction facts to 10, Relate the use of addition and subtraction facts to 10 to support the addition and subtraction of multiples of 10 e.g. If I know 5 + 4 = 9 then I know that 50 + 40 = 90 OR I know that 7—3 = 4 then I know that 70-30=40. Use knowledge of addition and subtraction facts to 10 to add more than 2 numbers e.g. 3+5+9+2. Complete missing number problems e.g. 10-[]= 3 using knowledge of subtraction and addition facts. Continue to use objects to count in support of calculations where required. e.g. If 2 + 8 = 10, what is 20 + 80? What do you need to add to 70 to make 100? 80 – 60 = 20 + 7+3=6+ Write the total: 6 + 5 + 5 + 4 = Warren bought two fruits. He spent 30p altogether. He bought an orange for 21p, what did he pay for the other fruit? Portland Academy Homework Level 2 - Number Level Descriptor Pupil can begin to understand the place value of each digit in a number and use this to order numbers up to 100, e.g. write a number in the boxes to make these correct 56 = + 6 + 8 = 88 47 = 40 + Homework Ideas Write some 2 digit numbers on a piece of paper. Ask your child to look at the number of tens and units in each number e.g. 57 = 50 + 7 or 5 tens and 7 units. Ask your child to make numbers where the number of tens is bigger than 5 and the units are even etc. Keep providing challenges of this nature until your child is able to recognise the tens and units column each time. Try writing T and U above tens and units column if your child is struggling to identify the correct column . Show some random two-digit numbers. Identify: - the largest - the smallest - a number between 40 and 50? Put the numbers in order from smallest to largest. Pupil can choose the appropriate operation when solving addition and subtraction problems, e.g. When Rajesh is 4 years old, Manisha is 9. When Rajesh is 8 years old, how old will Manisha be? Stefanie and Howard play a game. Stefanie scores 60 points. Howard scores 33 points. How many more points does Stefanie score than Howard? Look at some number problems with your child. Encourage your child to read through the problem very carefully at least twice. Begin to highlight numbers and words which give a clue as to which type of calculation to use (addition or subtraction). Try and support your child to work out from the vocabulary whether it is an addition or subtraction problem e.g. add, sum, total, altogether = addition/difference, less, fewer, take away = subtraction. Once these facts have been gathered, create a number sentence e.g. 15+3 = ___. Solve the problem and find the correct answer. Get your child to be aware of two step problems which require 2 calculations to solve the problem. Portland Academy Homework Level 2 - Number Level Descriptor Homework Ideas Pupil uses the knowledge that subtraction is the inverse Give your child a set of 3 numbers e.g. 3, 4, and 7. Get your child to create as many of addition, addition and subtraction number sentences as possible using these 3 numbers e.g. 3+4=7, 4+3=7, 7-4=3, 7-3=4. Try giving your child a missing number problem e.g. 4+[]=7 e.g. Using the numbers 15, 9 and 6, make related and get them to use the inverse operation (subtraction) to solve the problem e.g. number sentences by using +, - and = signs. 7-4=[3]. Do this as much as possible, encouraging your child to use the inverse or ‘opposite’ sign each time to find the answer. Twenty five children are on the bus. Six children get off and six children get on. How many children are on the bus now? Pupil solves number problems involving money and measures, e.g. A lollipop costs 15p. How much will I have to pay for two lollipops? Pupil recognises sequences of numbers, including odd and even numbers, e.g. Write the next number in these sequences: 10, 15, 20, 25, ___ 14, 12, 10, 8, ___ 23, 33, 43, 53, ___ Write an odd number between 20 and 30 and between 11 and 21. Show the numbers 5 - 16. Identify the even numbers. Give your child the opportunity to answer as many questions as possible using money and measures e.g. Michelle builds a tower which is 18cm high and another tower which is 13cm high, what is the difference between the two towers. Try answering questions relating to money e.g. Paul has 30p, he buys a drink for 15p, how much change does he receive? Try and do this in real life contexts by shopping with real money and making purchases with small amounts. Give your child a set of numbers with a noticeable pattern e.g. missing 2 numbers out, counting up or down in tens, counting in even numbers or odd numbers, increasing or decreasing in fives. Start at various starting points and get your child to complete the next five numbers in the sequence. Try giving numbers either side of 3 numbers in a sequence and try and get your child to identify the numbers either side of the sequence. Portland Academy Homework Level 2 - Number Level Descriptor Pupil begins to use halves and quarters, e.g. Adrian has a set of 24 pencils. How many is half the set? Homework Ideas Try practical activities such as cutting pizzas, sandwiches etc. into equal halves and then into quarters. Explain that halves are 2 equally sized pieces and that quarters are 4 equally sized pieces. Emphasise the vocabulary of ‘equal’ as meaning ‘the same as’. Work with objects which can be divided into halves and quarters by placing counters/buttons/sweets into groups of 2 and 4 e.g. half of 16 is 8 and quarter of 16 is 4. What is half of 16? 10? 18? If there are 16 cherries and they are shared equally between two people, how many cherries will each person get? What if there are 4 people? Pupil relates the concept of half of a small quantity to the concept of half of a shape. Try practical activities such as cutting pizzas, sandwiches etc. into equal halves and then into quarters. Explain that halves are 2 equally sized pieces and that quarters are 4 equally sized pieces. Emphasise the vocabulary of ‘equal’ as meaning ‘the same as’. Work with objects which can be divided into halves and quarters by placing counters/buttons/sweets into groups of 2 and 4 e.g. half of 16 is 8 and quarter of 16 is 4. Pupil understands halving as a way of 'undoing' doubling and vice versa. e.g. When I doubled a number the answer was 18. Which number did I double? There are 28 children in a class. Half of them are girls, how many are boys? Give your child 4 counters on the table and ask them to ‘half’ the counters so that there are 2 each group. Explain that they have been placed into equal sized groups. Get your child to look at one of the sets of 2. Explain that in order to double, we need to add the number to itself e.g. 2+2. Add 2 counters to 2 counters to make 4. Explain that this has ‘undone’ the halving process. Try this in reverse to ‘undo’ the doubling process using counters. Try different amounts each time, being aware that any number can be doubled but only even numbers can be halved without being left with a decimal e.g. half of 3 = 1.5. Portland Academy Homework Level 2 - Number Level Descriptor Pupil records their work in writing, e.g. Use the symbols +, -, x, ÷ and = to record and interpret number sentences involving all four operations. Look at these signs: + x - =. Use the signs to make these correct: Homework Ideas Try solving some problems at home with your child in the form of words or with objects e.g. find the total of all of these pegs on the table. Encourage them to make notes about what they are doing, recording numbers to help maintain an accurate count, writing number sentences and using the symbols +, -, x ÷ to support. See if your child can draw pictures to support multiplication of objects and then write into a number sentence e.g. ‘I have 5 buttons. How many would I have if I had 5 times that amount?’ Draw 5 groups of 5 and then record as a number sentence before working out the answer. 8 2 = 10 17 3 14 Write the same number in each square to make the multiplication correct: x = 100. Pupil sorts objects and classifies them using more than one criterion, e.g. Sort a given set of shapes using two criteria such as triangle/not triangle and green/not green. Pupil can collect and sort data to test a simple hypothesis, e.g. Count a show of hands to test the hypothesis that 'most children in our class are in bed by 8.00pm.' Try asking your child to help when sorting the washing. Begin by sorting into lights and darks then sort into delicates and non-delicates etc. Extend this by sorting shapes into simple diagrams firstly by number of sides and then by colour/lines of symmetry/number of right angles. See if your child can identify their own criteria for sorting objects and shapes. They may be able to sort numbers too e.g. sort odd and even/multiples of 10 and not multiples of 10 etc. Try using a Venn or Carroll diagram to help. Support your child to devise a statement that they would like to test. E.G. The most common colour of socks in my drawer is blue. Try different ways of collecting data to find out their answer e.g creating a tally chart, making a list of all of the different types of socks there are, making a tick sheet for each colour of sock etc. Count the final tally, number in list etc. and confirm whether or not the statement was true. Portland Academy Homework Level 2 - Number Level Descriptor Homework Ideas Pupil can record results in simple lists, tables, pictograms and block graphs. Support your child to devise a statement that they would like to test. E.G. The most common colour of socks in my drawer is blue. Try different ways of collecting data to find out their answer e.g creating a tally chart, making a list of all of the different types of socks there are, making a tick sheet for each colour of sock etc. Count the final tally, number in list etc. and confirm whether or not the statement was true. Pupil understands vocabulary relating to handling data and can communicate their findings, using simple lists, tables, pictograms and block graphs, Find a question that your child would like to find out the answer to e.g. What is the most common type of vehicle in my street? Use tally charts to record findings for 4 or 5 types of vehicle. Put information from tally chart into a frequency table with numbers rather than tallies representing the data. Place information into pictograms and block graphs, adding titles to each axis and labelling the scale. Try and answer questions i.e. Which is the most common type of vehicle? Which is the least popular vehicle? How many vehicles came past in total?