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.
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.
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?
……….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.
A game board (download here), two dice and 12 counters for each player.
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?
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.
Digit Dog and Calculating Cat are playing a game of 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.
Put the cards 1 – 6 in order
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.
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.
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:
turn over the cards that match the numbers on the dice.
add the two numbers and turn over the total.
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.