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Posted in Counting, Easter

Fill the egg

How many objects can you fit in the egg?

Digit Dog and Calculating Cat are trying to fill their plastic eggs with as many objects as they can.

Try this out for yourself – each person needs an empty plastic Easter egg or any small container to fill with as many objects as they can. The one who collects most objects is the winner.

fill the egg

 

 

 

Fill the egg Cy

Count the objects to see who has the most. Organise your objects so that you can see how many there are without counting in ones.

Do this by:

  1.  Organising the objects into tens.  How many do you have?  “I have one ten and eight”.

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Screenshot 2018-03-23 08.27.39

How many objects does Digit Dog have? Don’t count in ones.

Does he have more or fewer objects than Calculating Cat? Explain how you know.

2. Putting the objects on a 10-frame (download here).

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Calculating Cat
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Digit Dog

Who collected the most objects? How do you know?

How many more objects does Calculating Cat need so that she has 20? How can you work it out by looking at the 10-frame?

3. Putting the objects in egg boxes.

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Calculating Cat
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Digit Dog

Who was the winner? Who had more objects? Who had fewer objects? Can you quickly count the objects? Make a chart to show how many objects each person collected.

 

 

Posted in Calculating, Logical reasoning, Making totals

Making totals

Digit Dog and Calculating Cat are using 4 bottletop bugs (or you can use digit cards) to make different totals.

make totals with bugs.png

They have got the 2, 3, 4 and 8 bugs.  They have made two totals already and are wondering how many more they can make.

What totals can you make? Which bugs are you using?

How are you going to record what you have done? With a drawing? With a number sentence?

Can you make these totals:

9

10

11

13

14

15

How will you know when you have found all the possible totals?

Can you record your work in a systematic way?

What if…………

…………you choose a different 4 bugs / numbers and do the same thing?

 

 

Posted in Additive relationships, Counting, Easter, Games

Easter Race to 10

A game for any number of players.

You will need:

  • A 10 frame each (download here)
  • A dice with numbers 1 – 3, or a set of digit cards (download here double sided to have Digit Dog on the back) that are placed face down in a pile and then the top one is turned over for each turn
  • 10 eggs for each player (cut out eggs here or use mini chocolate eggs)

Take turns to throw the dice. Count the number of eggs and put them on the 10 frame. The first person to get 10 eggs wins.

As you play describe how many eggs you have:

“I have ……… eggs. I need ……….more to make 10”.

During the game take time to look at each other’s frames and talk about the numbers of eggs on each frame.

Use the sentences like Calculating Cat:

“I have ……… more eggs than you. You have …….fewer eggs than me.”

“I have …….fewer eggs than you. You have ……..more eggs than me.”

race to 10 eggs

How many eggs does Digit Dog have?

How many eggs does Calculating Cat have?

Who has fewer eggs? How many fewer? Explain how you know.

Who has more eggs? How many more?

How many more eggs does Digit Dog need to make 10? What about Calculating Cat?

Now play Race from 10

Start with 10 eggs. Throw the dice and take away that number of eggs. The first person to have no eggs is the winner.

 

 

Posted in Calculating, Conceptual understanding, Easter

Making ten with eggs

Digit Dog has got 10 mini Easter eggs and two baskets. He puts some eggs in one basket and the rest in the other. He’s trying to find out how many ways he can do this.

Try this yourself – if you don’t have eggs and baskets you can use any objects and containers you can find.

eggs in basket

eggs in basket Welsh

Let children try out some different ways of organising the eggs. Say:

I have ……..eggs in one basket and ……..eggs in the other. I have 10 eggs altogether.

…….. plus ……… is equal to 10.

Ask:

How can you record what you have done? Children might take photos, draw pictures or write a number sentence.

How will you know you have found all the different ways? Can you explain how you know?

Do you notice any patterns?

What if………….

……….you put the eggs in the two baskets, then one person closes their eyes and another person takes away some eggs? Person 1 opens their eyes and works out how many eggs are missing. How did you work out how many were missing? Explain your thinking.

………you had three baskets?

……..you had more than 10 eggs?

 

Posted in Easter, Numicon, Problem solving

Collect the Easter Eggs

Collecting eggs

Digit Dog is collecting eggs from the Easter Bunny’s store. Here is a map of the store. (download and print your store here

Digit Dog counters

Screenshot 2019-04-03 15.31.31

There are 8 rooms and the number tells you how many eggs are in each room. Digit Dog has to go into the rooms and collect the eggs BUT he can only go into each room ONCE.

How many  can Digit Dog collect?

How many different ways can he go though the store?

Can you record his routes? How might you do this?

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Can you do it a different way, Digit Dog, and collect more eggs?

What’s the most eggs you can collect?

What’s the smallest number of eggs?

Look for children who are planning the routes and can explain their thinking.

Make it easier

1. Use the blank store and put just numbers 1, 2 and 3 in the rooms.

2. Put mini-eggs in the rooms and collect them.

Extend the challenge

Use the blank store and put higher numbers in each room.

Challenge children to find all possible routes and to explain how they know they have found them all.

Posted in Calculating, Making totals

Making more tens

Another way to investigate making 10 with 2 numbers using the bottletop bugs. Download the board here.

Making ten bugs

Can you record the pairs that you have found?

You could also use the number pebbles to do the activity.

making ten pebbles

Try turning the pebbles face down. Turn them over one at a time and decide where to place them on the board.

Posted in Calculating, Fluency, Making totals, Strategic competence

Making tens

bottletop bugs add to 10

What do you think? How many pairs of numbers can you find to make 10? How do you know you have found all the pairs?

What if………….

…….you looked for 3 numbers which, added together, make 10?

…….you looked for numbers with a difference of 1? What do you notice?

…….you made up some of your own questions?

You can do this activity by making some bottletop bugs. Collect milk bottle tops, draw some eyes and then number them 0 – 10

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or draw spots from 0 – 10

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or you can use digit cards (download here)

or write numbers on bits of paper

or you can make some number pebbles like these.

number pebbles 2

Posted in Games, Logical reasoning

Two or More

The Two or More Game

You need:

A Two or More board (download here)

Cards numbered 1 – 9 (download here) or be like Digit Dog and use stones from the garden with numbers written on them.

Rules:

Put the numbers on the squares so that the difference between each pair of numbers is 2 or more.

two or more

Digit Dog and Calculating Cat are playing Two or More.

Is Calculating Cat right? How do you know?

Which number couldn’t she put next? Can you explain your reasoning?

Is there more than one way of doing it? How do you know?

How could you record what you have done?

How did you decide where to put the numbers? What were you thinking about?

What if……..

…….the difference was 3 or more?

…….you made up a game of your own using the board and numbers?

Posted in Calculating, Counting, Games

Face Up

You need:

4 milk bottle tops with a face drawn on them.

bottle tops

About 50 small objects to keep score – you could use cocktail sticks, counters, buttons, dried beans, small pebbles, Lego pieces.

How to play:

  1. Decide how many rounds you want to play.
  2. Toss the bottle tops in the air and count how many fall with faces up and how many with faces down.

To score:

All 4 face up = 5 points

3 up and 1 down = 2 points

2 up and 2 down = 1 point

1 up and 3 down = 2 points

All 4 down = 5 points

Keep your score with the small objects. The player with most objects at the end of the agreed number of rounds wins.

Dash

Variations

You can keep score with pencil and paper instead of objects.

If you want an Easter theme, you can use mini eggs to keep score.

Use more bottle tops and make up your own scoring system.

Invent your own game.

 

Posted in Calculating, Games, Logical reasoning, Making totals

Which Square?

How to play Which Square?

A game for 2 players.

You need:

A game board (download here), two dice and 12 counters for each player.

Rules:

  • Each player puts their counters on the board. They can put them on any number and more than one counter on a number if they wish.
  • Players take turns to throw 2 dice and to add the two numbers. If they have a counter on the total they have thrown, they can take it off. If they have more than one counter on the total, they just remove one.
  • The winner is the first to remove all 12 counters.

Digit Dog and Calculating Cat are playing the game. They both think that they will win. What do you think?

Which square

Look at where they have placed their counters. Who do you think will win? Why do you think that?

When you are playing the game do you notice that you get some totals more than others?

Which numbers are the best to put your counters on? Are there any numbers you don’t want to put your counters on? Can you explain why you think that?

Play the game a few times to see if your ideas work.

Posted in Calculating, Games

Turn the cards

Digit Dog and Calculating Cat are playing a game of Turn the Cards

Turn the cards

You will need:

A set of digit cards and two dice

You can download some digit cards here  (if you print them double-sided they will have Digit Dog on the back) or you can just write numbers on pieces of paper. If you don’t have dice, there are free rolling dice apps that you can download.

Rules:

  1. Put the cards 1 – 6 in order
  2. Player 1 throws the two dice and turns over the cards that match the dice – Digit Dog threw 2 and 3 so he will turn over the 2 card and the 3 card. Keep throwing the dice until you can’t turn over any more cards. The cards that are left showing are added together and that is Player 1’s score.
  3. It is now the next player’s turn. Put the cards in order again and throw the dice in the same way as Player 1.
  4. The winner is the one with the lower score.

Either play one round to find a winner or play 5 or 10 rounds, adding the scores of each round to give a final score.

Want more of a challenge?

Use digit cards from 1 – 12 and put them in order.

When you throw the dice you can:

  1. turn over the cards that match the numbers on the dice.
  2. add the two numbers and turn over the total.
  3. subtract the two numbers and turn over the answer.

As with the first game, your turn ends when you can’t turn over a card. Find your score by adding together all the cards still facing up.

Posted in Uncategorized

Sum or Difference

Digit Dog and Calculating Cat are are playing a game called sum or difference.

sum or difference

Rules

  • Take turns to throw 2 dice.
  • Find the sum of the two numbers OR the difference, then cover the number on your grid.
  • The first one to cover all their numbers is the winner.

Download the game here

Encourage children to use the mathematical language:

The sum of …….and ………is …………..

The difference between …….. and …….. is………..

Ask:

Which numbers are more difficult to cover? Why do you think that is?

Do you make some numbers more often than others?

What if………..

…….you were making your own board? Which numbers do you think would be good to choose?

……you were only finding the sum of the dice? Which numbers would you put on the board so that you were the winner?

………you were only finding the difference? Would you choose the same numbers?