You need one counter and a dice (a dice with numbers 1, 2 and 3 is ideal but you can play with an ordinary 1 – 6 dice)

The game is for 2 players – one will be Digit Dog and the other will be Calculating Cat.

Put the counter on Start. Both players move the same counter BUT Digit Dog moves towards the bone and Calculating Cat moves towards the fish. Take turns to throw the dice and see who gets their food first. There will be a lot of moving back and fro.

When children throw the dice ask them to say how many spots there are without counting in ones – this is called subitising.

Lynwen Barnsley and Helen Bowen are doing another full-day LIVE ONLINE ZOOM session of this popular course on September 30th 2021

The day will be full of practical ideas for making links between the Mathematics and Numeracy and the Language, Literacy and Communication AoLEs. As we begin to embed the new curriculum over the next few years, schools will need to explore how they can make manageable links between AoLEs. How can we use literacy skills in a meaningful way to develop and improve mathematical understanding? Where is the natural overlap?

We will explore and discuss:

Where is the literacy in mathematics? Where are the opportunities for developing literacy skills?

What are the good speaking, listening and reading strategies that can help make sense of mathematics and develop reasoning skills?

Do you have a toolkit to support talk in mathematics and numeracy? Is it consistent? Is it progressive? Are pupils able to use the toolkit independently, at home as well as in school?

This type of problem encourages learners to think and talk mathematically and use the link between addition and subtraction.

Ask children to:

Explain what the problem is about in their own words.

Explain what information they know and what they are trying to find out. How many spots are there altogether?How many spots are on the bug you can see? What number of spots cannot be under the leaf?

Find a way to work out how many spots are on the bug under the leaf.

Describe the strategy they have used. They might:

use concrete representations to work out how many more they need to make 10, for example,Put counters on a ten frame to represent the total amount and the number of spots you can see. Use Numicon shapes to represent the total and spots. Either use the pegs or shapes. Make sure that learners can explain what the resources represent. The pink shape represents the number of spots Calculating Cat can see. Using concrete resources helps learners to explain their thinking.

draw pictures of the bugs and spots.

find the numbers on a number line and count on or find the difference.

use number bonds – the numbers that add together to make 10.

I know that 7 + 3 = 10 so there must be a 3-spot bug under the leaf.

I know that 10 – 7 = 3 so there must be a 3-spot bug under the leaf.

Convince everyone that their answer is correct. Use sentence starters such as:

I know the answer is 3 because ….

First of all I…………then I………

I know that …….. so…………

Write a number sentence

Change the bugs – choose two different bugs, work out the total number of spots and then hide one under a leaf.

What if you tried a more difficult problem?

Use 3 bugs. Work out the total and then hide one bug under a leaf. What strategies will you use now?

Use two bugs but try multiplying the numbers. Hide one bug under a leaf but this time say “the product of my numbers is…..”

Set out the leaves with one bug on each leaf. Take turns to roll both dice and use either addition or subtraction to capture a bug. For example, if you throw a 5 and a 3 you can either add the numbers together, 5 + 3 = 8, and capture the 8 bug, or you can subtract the numbers, 5 – 3 = 2, and capture the 2 bug.

Explain your reasoning like Digit Dog.

When all the bugs have been captured, the player who has most bugs is the winner.

Which bugs are easiest to capture? Why do you think that?

Put your bottle top bugs in a feely bag or a box or under a cloth. Each player takes one bug out, puts it in front of them and says how many spots there are. The player with more spots captures both bugs.

Keep playing until all the bugs have been used. The winner is the player who has captured most bugs.

Ensure learners are using correct mathematical language.

Ask:

Who has more spots? Who has fewer spots?

Who has more? Who has less?

Say:

I have more spots. I have fewer spots.

I have more. I have less.

Make sure that learners practise using fewer/less as well as more.

Practise subitising (saying how many spots there are without counting in ones). Seeing patterns and arrangements of objects is an important skill that helps with rearranging, combining, breaking up and putting together amounts in number.

When you turn over a bug, say how many spots there are without counting in ones. How do you know how many spots there are? Calculating Cat knows she has 7 spots because she saw 5 plus 2 more.

Match the numeral

Say how many spots you have and find that number on a number line.

Say how many spots you have and find a digit card to match that amount.

Extend the game

Ask Who has more spots? How many more?

Who has fewer spots? How many fewer?

I have …..spots. I have ……. more spots than my friend.

I have …….. spots. I have …….. fewer spots than my friend.

Vary the game

Change the rules so that the player with fewer spots wins.

Players take two bugs and add the number of spots together. They then compare their totals. The player with the greater total captures all four bugs.

Players take two bugs and find the difference. They then compare their differences. The player with the greater difference captures the four bugs.

Start to recognise patterns. Say how many spots there are without counting in ones.

Find the bug with 5 spots. Now find the one with one more than 5,one less than 5, two more/less than 5.

Find two bugs that have 8 spots altogether. Can you find another two with 8 spots? How many different pairs can you find? How do you know you have found them all?

Join Lynwen Barnsley and Helen Bowen for a full-day LIVE ONLINE ZOOM COURSE on May 7th 2021

The day will be full of practical ideas for making links between the Mathematics and Numeracy and the Language, Literacy and Communication AoLEs. As we begin to embed the new curriculum over the next few years, schools will need to explore how they can make manageable links between AoLEs. How can we use literacy skills in a meaningful way to develop and improve mathematical understanding? Where is the natural overlap?

We will explore and discuss:

Where is the literacy in mathematics? Where are the opportunities for developing literacy skills?

What are the good speaking, listening and reading strategies that can help make sense of mathematics and develop reasoning skills?

Do you have a toolkit to support talk in mathematics and numeracy? Is it consistent? Is it progressive? Are pupils able to use the toolkit independently, at home as well as in school?

It’s the Chinese year of the ox and Digit Dog and Calculating Cat are using the Numicon® shapes to cover the picture of the ox.

You will need the ox picture (download here – make sure you print at 100% so that it is the right size for the shapes) and a set of Numicon® shapes. If you don’t have the plastic shapes you can download a set of printable Numicon® shapes here.

Use the Numicon® shapes to cover the ox in any way you can.

How many different ways can you do it? Describe what you’ve done.

Compare your ox with your friend’s. What’s the same and what’s different? How did you check that your way was different from your friend’s?

Ask:

How did you cover the ox? How many shapes did you use? Talk about how you chose the shapes. Which shapes were most useful?

Can you cover the ox again, using different shapes?

How many different ways can you do it?

What is the fewest number of shapes you can use? The most?

Can you just use odd shapes? Even shapes?

What if you weren’t allowed to use the same shape more than once? How many ways can you do it? Is this more difficult? What are you thinking?

What’s missing?

When the ox is covered, player 1 closes their eyes, player 2 takes away one shape. Player 1 says which shape is missing and explains how they know.

Feely bag challenge

Put some shapes in a feely bag, take them out one at a time and place on the ox. Can you find the shapes you want by touch alone? This helps with visualising the shapes.

Challenge learners to:

describe and explain what they are doing.

have a strategy for choosing shapes rather than do it randomly.

swap shapes for other equivalent shapes each time they look for a new arrangement rather than starting from the beginning.

put all their completed rats together and ask “what is the same?” “what is different?”

Try the same activities with the other animals (download here).

Digit Dog and Calculating Cat enjoyed the game so much that they made their own version of the game.

The game is for two players – one is Digit Dog, the other Calculating Cat.

You need: One dice, one counter.

Digit Dog wants to get to the bone, Calculating Cat wants to get to the fish.

Put the counter on start.

Take turns to throw the dice and move the counter. Both players move the same counter – Digit Dog moves the counter towards the bone, Calculating Cat moves it towards the fish.

The winner is the one who gets to the food first.

Variations

Use two dice – throw the two dice and choose which dice you want to use.

Use two dice – add the numbers on the dice and use the total for your move.

Use two dice – find the difference between the numbers on the two dice and use the difference for your move.