Maths is FUN.
Or at least it can be when we gain our confidence. Understanding of number is how we gain that confidence. We are on our way to that, but Tiny is at the stage of not using what he already knows to solve other problems.
This week is going to be about looking at new problems. Money
Yes, this is going to be a hard week. But we will take it slow.
First a review of last week.
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Our practical work went very well this week. Instead of using the counting blocks we cut up some coloured paper into hundred, tens and ones. He used them to work directly in his book.
He loved doing this and it was a good way of reinforcing putting the hundreds tens and ones in the correct columns.
We went on to do much larger numbers and he decided that it would be best to lay the hundreds on top of one another because they were too big to fit on the page.
Subtraction is still proving to be a little more difficult. We will carry on doing this a different times during the week and include it in this weeks money problems.
He loved this - and he did remember the symbols.
when he was smaller we always used the crocodile to help us remember. It must have worked.
Here is a short You Tube clip about the greater and smaller than numbers.
The pennies and the pounds questions did prove a little more difficult. But that's OK because we can use this again for this week.
Counting on in hundreds he found really easy using the arrow cards.
We then counted on in tens and in ones.
Next we used the SPLAT hundred square to count back and forwards in tens.
This was a little more difficult at first. He had problems in remembering how to use the hundred square.
It wasn't long before we were finding 30 less or 20 more of numbers.
On his Mathseeds program this week they were adding and subtracting with a hundred square. He struggled with questions like 65 - 24 = The first part of the problem he understood, but then when it came to subtracting the ones he wasn't sure about how he had to travel on the square.
The puzzle game he loved. I am going to print out a card and some shapes so we can play it again changing the values of the shapes.
The word problems also worked out well. I was really pleased that he could identify the important parts of the sentences.
We had fun making up our own word problems.
All in all it was a good week even though we didn't manage to do all the things I had planned.
We did manage to look at some year 3 place value questions from the Collins Targeted Practice Workbook that he has. He answered 3 pages worth of questions and was so happy with himself. This is the first time we have used any school looking maths books and I was frightened that it would scare him enough that he wouldn't even attempt it.
Now for this week.
Money Problems - Coins (A lot of the first part of the week is going to be playing with money and asking questions)
We are going to start off nice and easy.
First we are going to practice the pound sign.
When I have asked children in the past to write the pound sign - they write the American dollar sign. We are also going to talk about there being a 100 pennies in the pound.
Tiny has had pocket money in the past and he knows that each coin has a different value but its not going to do any harm at this stage to go through the values again.
Were going to be counting in 1's, 2's, 5's and 10's and then going on to count in 20's.
I'm going to line up some pennies. He can count them and let me know the answer.
We will then do the same with the other coins. I will not mix up the coins at this point - but I will be encouraging him to use his tables to count the 2's, 5's, 10's and 20's.
For the next part I am going to draw the greater than = smaller than and equals sign on 3 post it notes.
Something like this.
Put different amounts on each side. Encourage counting in times to get the answer.
Ask them to challenge you.
Talk about how some coins might be smaller but they are worth more.
Now mix the money up - for example hand them 3 tens + 2 twos and ask them to tell you the amount.
Introduce a pound coin and a 50p coin and start adding with them.
Play shops with the items you have on your table and take it in turns to be the person to give out change from 1 pound.
Record their answers (you can do this bit).
Remind them that 100p equals 1 pound.
Give them one of each of the coins (but not the fifty pence or the pound)
1p - 2p - 5p - 10p - 20p You can use the coins more than once.
What totals could you make?
What is the lowest total you could make?
What is the greatest total you could make?
Write down all your answers.
Money Problems - Notes
Still counting but this time its pounds not pence.
Now I was fine with playing with real money when we raided the penny jar, but I don't have lots of pound coins or notes floating around. so this time the work is going to be more book based with me drawing lovely rectangles to represent the five. ten and twenty pound notes. And of course some little circles to show the pounds.
This will be a good time to reinforce the £ sign and get Tiny to practice writing it.
He will be counting but this time it will be in pounds not pence.
Now for some problem solving.
Talk about this problem or one like it.
Why would I say that I think its £13?
You could also point out that you don't need both the £ sign and the word.
Get to explain how much the picture shows.
Make up some more problems similar to this one to make sure they can explain.
Explain the mistake in this sequence.
£2 - £4 - £6 - £7 - £8 £10
Show the mistake using £2 coins
Now were going to bring pounds and pence together.
Using different amounts of notes and coins ask 'How much is there altogether?'
For example -
Draw or place down 1 ten pound note + 1 five pound note + 50p + 2p
Write in their books - There is £_____ and ______ p.
Repeat and change the amounts.
If you want and you feel they are ready you could write it out as decimal notation
I am also going to print out some worksheets from Twinkl for him to have a go at. If you don't subscribe to Twinkl then there are some worksheet you can print out for free. I have found a few listed below. (or better still - make your own.)
These worksheets are taken from the 'primary resources website', and are all free to print out. There are plenty more on the site - this is just a small selection.
A link for coin cards to print out.
Playing with number. This was not started last week - so if we have time this week we are going to try some problems like this.
Use 3 blank cards or 3 post-it notes and write 6 - 7 - 8 on each of them.
Now ask them to put the cards into a number sentence including one ten's number and one units number.
e.g. 67 + 8 = or 86 + 7 =
How many different number sentences can they make?
How many different totals did they find?
What was the largest total?
What was the smallest total?
Can they talk about their answers? Did they find any kind of pattern?
Now for some word problems.
Make up some word problems involving money.
Bob buys a toy truck for 34p and Becky buys a pencil for 45p. How much do they spend altogether?
Sally has four coins. She has 12p. What coins do you think she has?
If you think they are ready then make the word problems a little harder. Be careful about making them too hard. You don't want to knock their confidence. I will be writing the problems down while I'm working with Tiny and asking him for suggestions on names etc.
Bean-bag buckets (from last week)
Dan threw 3 bean-bags. Each bag went in a bucket. More than one bag can go in a bucket.
1. What is the highest score Dan can get?
2. Find three ways to score 6.
3. Find three ways to score 9.
4. What other scores can Dan get?
This week is mostly about playing with the money. We will also be looking at some problems involving doubloons to go with our Pirate Topic.
This is a fantastic hundred square that is interactive. Well worth downloading and adding to favourites
There are some good games to play on the NRICH website. Here Is one I found for this week.