Showing posts with label number bonds. Show all posts
Showing posts with label number bonds. Show all posts

Monday, 19 March 2018

Number Bonds to 20


Building upon our work on learning the number bonds to 10 (posted about here and here) and their understanding of partitioning, we then expanded this knowledge to calculate and so memorise the number bonds to 20 - with the overall aim of improving their mental maths skills.

I began by giving them a quick oral quiz on which numbers "matched" with each other to give a total of 10, i.e. "What do you add to 2 to make 10?" We then revised what they knew about partitioning numbers into tens and units by going through a couple of examples together on the whiteboard - stopping on the number 20.

I then explained to them how they could use the number bonds to 10 to calculate what number they needed to make a total of 20, because 20 is simply 10 more than 10! I gave them a couple of examples on the whiteboard (e.g. see picture above) then quizzed them to check their understanding.


Finally, I gave them some pages photocopied from Letts Make It Easy... Maths & English (Age 5-6) and Letts Monster Maths - Maths (Age 5-6) to recap and reinforce.

The bottom of the first page (left) was a good opportunity to teach them the importance of showing their working out, in terms of keeping track of what they're doing and working things out step by step, in order to pick up on where they might have made a mistake.

Wednesday, 3 January 2018

Number Bonds to 10 (Part 2)

Following on from their mini maths investigation into which two numbers can add together to make 10, I made up a few simple games to further practise these bonds using a pack of standard playing cards.


For all of these, the first step is to take out the 10s, Jacks, Queens, Kings and Jokers. Ace always represents 1. When I say "the matching card", what I mean is the one with the number which added together would make 10, e.g. A matches with 9, 2 with 8, 3 with 7, etc. etc.


1) A variation of "Snap!" [2 players (& dealer)]

I was the dealer and had all the clubs, A - 9. The girls had one red suit each, i.e. diamonds A - 9 and hearts A - 9. They had their cards face up in front of them on the table, put in numerical order to make it simpler (they could have held them in their hands, but as we were using a standard pack of full sized cards they were a little tricky for them to manipulate so I decided this way would be easier). I had my cards shuffled into a random order. The choice in suits was to differentiate between the dealer's cards and the players' cards.

The game was simple: I would place a card down in the middle; the first person to put the matching card on top and shout "Snap!" would win the card. Whoever had the most black cards at the end was the winner.

If you're only playing with one child this is easily adapted into a game the parent can play in as the second player by having the black cards shuffled and face down in the centre. Each player can then take turns to flip one card over into the middle.


2) Beat the Clock [1 player]

You only need two suits for this, one black and one red. I chose clubs and hearts. 😊 You also need a stopwatch.

Place the black cards face up on the table. We started with them in numerical order to make it easier.

Shuffle the red cards and hold them face down in one hand.

Start the clock! Flip one card in your hand over at a time and place it on top of the matching card on the table. The aim is to do this as fast as possible, then make a record of your time at the end.

The first time we did this, the girls both averaged 2 and a half minutes! They took their time flipping the card over and thinking about how many more were needed to make 10, sometimes checking on their fingers before placing it down... They didn't really have a concept of time, but I let them be slow as I wanted them to see themselves improve the next time. 😜 After they each had a go I modelled how to do it as fast as possible, whilst still pausing to say out loud what I was doing: "First card, 4; 4 plus 6 is 10; 4 goes on top of the 6. 2; 2 plus 8 is 10; 2 goes here," etc.) I wrote all our times on our whiteboard and said we'd try this again tomorrow to see if we could improve. And they did! We've been playing this game daily for a few days now and they're now averaging 40 seconds to complete it (my best so far is 10 seconds, so you have some idea of expectations!).

We play by having the twin who isn't using the cards to be in charge of the stopwatch. This has also definitely helped their understanding of time and how long 1 second actually is!

You can make the game a little more challenging by having the cards on the table in a random order, or in a square kind of shape rather than a line, so the kids can practise their skim reading skills at the same time. Depending on your child, they might notice that when the cards on the table are in numerical order then the cards they place on top are simply in backwards numerical order - so this helps stop them "cheating" by using this fact (although if they notice this fact themselves, well done to them as this can be a teaching point in itself!).


3) Flashcards [1+ players & dealer]

This is similar to the first game, but removes a little of the competitive element if you want to. 😛

Each player has one suit each. The players have their cards face up in front of them (in their hands or on the table) and in numerical order to make them easier to find (they don't need to be in order, of course, but this could be a good discussion point as to why they might want them that way and an introduction to strategic thinking!). The dealer has their cards shuffled into a random order.

The dealer holds up a card, one at a time, and the players need to find the matching card and hold it up. They can shout out the answer once they have the card, or they can stay quiet so it's not as clear who was faster! You can also choose to have the faster one take the dealer's card and compare who has the most at the end, or just congratulate them for getting the right answer and continue playing. It's up to you and what mood your kids are in at the time!

You could even play this with the dealer just holding up random cards and the kids shouting out the matching number as fast as they can, but I like the fine motor skills practise and skim reading practise the kids get from having their own suit of cards to physically find the answer with. Similarly, you could get the same effect from the dealer using something physical, e.g. 10 cubes in an opaque bag, instead of cards. The dealer takes out a random number of cubes and shows them to the children (dealer can count them out or leave the children to count them together/quietly to themselves for practise); the children have to work out how many cubes are left in the bag and hold up the card with the right number.


4) A variation of "Old Maid" [3 players+]

Put a card of your choice back into the pack to represent the Old Maid, e.g. one of the Queens or a Joker. Shuffle the cards and deal them equally to each player (I joined in with this game so we had three people playing - wouldn't really have been fun otherwise!).

First, each player looks at their cards privately and discards any pairs of matching cards. The goal is to get rid of all your cards and not be left with the Old Maid at the end. Alternatively, you could play this without the Old Maid (i.e. Queen/Joker) and just see which player is the first to get rid of all their cards, as this makes the game shorter (the winner doesn't feel left out!) and you don't really have a loser (which avoids temper tantrums amongst some kids!).

Once the matching pairs have been discarded, each player holds their remaining cards in their hands facing them so the other players can't see what they have (ideally you would fan them out in one hand, but this was a little tricky for my 4 year olds so I just let them hold them however).

You then take it in turns to go round the circle and take one card from the person next to you. If you get a matching pair, you discard it. Keep going until a) someone discards all their cards and is the winner or b) someone is left with the Old Maid at the end and is the loser. We play the 2nd version using the Joker - whoever is left with the Joker at the end needs to tell a joke/do something funny to try and make the others laugh. 😂


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That's all for now! If I think of or find any more games, I'll update this post with the summary. 😊

Sunday, 24 December 2017

Number Bonds to 10 (Part 1)

We've covered basic addition using the standard methods (blocks, fingers, number lines, etc.) and the twins understand the principles, but I wanted their mental arithmetic to be quicker... So decided now was a good time to start getting them familiar with the number bonds to 10, i.e. which pairs of numbers add together to make the number 10.

I gave them each a piece of A4 paper with 10 squares (each the size of a Multilink Cube) down one side, a pencil, 10 cubes of one colour and 10 cubes of another. They had to see how many different ways of making 10 they could find, the two colours being to make the process visually easier.


Both of them decided to start with 5 of each cube and I modelled how to write the number sentence 5 + 5 = 10 on the whiteboard for them to copy onto their paper: handwriting practise as well as a way of keeping a record of their findings along with reinforcement of how sums are displayed. 😄

Now came the tricky part! I removed all the blocks of the second colour and modelled how they didn't have to have 5 of the first colour. Maybe there could be one less, or a couple more, or even none! So I had removed all the blocks completely. So what did they want to try next? I tried to keep it quite open so they were doing more exploring and thinking for themselves.

One decided to make the first colour one more, and ended up doing the task quite systematically. She found all 11 combinations quicker than her sister and it was easy to explain to her how she hadn't missed any out. The other took a more random approach, but she was determined and I could see she was really thinking about which combinations she hadn't tried yet. When she got to her 8th possibility she wasn't sure if she could find any more, so I read through her work in numerical order, using the first number in the sum as a reference, and purposefully paused at the possibilities she missed - she caught on quickly what she needed to try next and that she had 3 more sums to write.

With this activity, it was also nice to see that they remembered some of the addition work we'd done previously, as even before they'd filled in the squares with the second colour cube, they would already guess (most of the time correctly!) at how many more cubes were needed.

Because they worked through finding out what the number bonds were for themselves, rather than just being told them or being made to memorise them parrot-fashion from flashcards, I think it made the pairs stick in their heads more easily. After a break, we practised some mental arithmetic again and they were both noticeably quicker in finding the answers. 😊