Posted in Calculating, Making totals, Numicon

## Total 6

Total 6 is an extension of Investigating totals

Put the shapes on the grid but this time each row, column and diagonal has to total 6.

You might want to start by:

1. Just making each row total 6. Then try
2. Just making each column total 6. Follow this by
3. Making both the rows and columns total 6, and finally
4. Include the diagonals too.

Which shapes are you using in each row / column? Why?

Is there more than one way of completing the grid?

Look at your partner’s grid. What is the same and what is different?

1. Use digit cards instead of the shapes.
2. Don’t give the total – Can you put the Numicon shapes on the grid so that each row, column and diagonal add to the same total?

What do you think the total might be? Why?

How are you going to start? What are you going to try first?

What if.……..you used three different consecutive shapes?

3 twos, 3 threes and 3 fours                                 3 threes, 3 fours and 3 fives

or

What will the totals of each row be now?

Posted in Calculating, Making totals, Numicon

## Investigating totals

Digit Dog has got a 3 x 3 grid and 9 Numicon shapes – 3 one shapes, 3 two shapes and 3 three shapes. He is going to put the shapes on the grid and investigate the totals he can make.

This is what he does first:

Copy what Digit Dog has done.

Digit Dog says that the sum of the shapes in the first row is 6. Do you agree with Digit Dog? Why or why not? Are you sure?

Expecting learners to explain their thinking helps develop their reasoning skills.

If you agree, convince me that Digit Dog is correct. If you don’t agree, explain why you think he is wrong.

Encourage learners to explain why the total of the first row is 6. Use the Numicon shapes to show that the 3 shapes in the first row are equivalent to a six-shape. Explanations are much easier when you use concrete apparatus.

Use the pan balance to explain.

Calculating Cat says that the total of the shapes in the third column is 6 too. Is she right? How do you know?

What is the same and what is different about Digit Dog’s row and Calculating Cat’s column?

Can you find any other rows or columns that total 6? Are there any that total more than 6? What about less than 6?

Can you find a row or column that totals 1 more than 6? What about 1 less than 6?

What else do you notice?

Find a way to record the totals you have found?

Now arrange the shapes on the grid in any way you want and investigate the totals that you make. What do you notice? What is the largest total you can make? The smallest total?

Look at a grid your friend has done. What is the same? What is different?

What if you used other shapes?

## Making 10

Look at the Numicon shapes and find pairs of shapes that make 10. Check that you are correct by placing each pair on top of the ten shape.

What do you notice? What patterns can you see?

Say an addition sentence for each pair e.g. 1 add 9 equals 10.

Write an addition sentence e.g. 1 + 9 = 10.

Say a subtraction sentence e.g. 10 take away 1 equals 9.

Write a subtraction sentence e.g. 10 – 1 = 9.

Play What’s Missing?

Set out your pairs like Digit Dog and Calculating Cat.

Player 1 closes their eyes, Player 2 removes one shape and says “what’s missing?”

Player 1 works out what shape is missing and explains how they know.

For more Numicon activities visit Oxford Owl for Home Maths.

Download and print the free Numicon shapes and the Numicon at Home Activity Kit for Years 1 and 2.

Digit Dog is counting his bones. “One, two, three.” But 3 bones are not enough.

What if Digit Dog found 1 more bone? How many would he have then? How do you know that? Can you convince me?

What if he found 2 more bones?

What if he ate one bone?

What does Digit Dog have to do to make his wish come true? How many more bones does he need? How can you work it out?

Use a five-frame or ten-frame to help learners work out how to make Digit Dog’s wish come true and explain their thinking.

Explore other numbers of bones.

Posted in Calculating, Fluency, Games

## Go Fish 10

You play Go Fish 10 in the same way as Go Fish but the aim of the game is to make pairs that add up to 10.

Print Digit Dog’s cards here. You need 4 sets for 2 -3 players.

To play:

Deal each player 7 cards and spread out the remaining cards face down on the table. The aim of the game is to find pairs of cards that add up to 10.

Each player takes a turn. During a turn the player:

1. Looks at the cards in their hand, if they have any pairs that add up to 10, they put them in front of them, face up.
2. They then ask another player if they have a particular card so that they can make another pair. For example, player 1 might have a 4 in their hand and so ask aplayer 2 “do you have a 6?” – the card they need to make a pair that adds to 10. If player 2 has a 6 card, then they must give it to player 1. If they don’t have a 6 card, they say “go fish” and player 1 takes a card from the pool of cards on the table.
3. If the player gets the card they asked for, either from the pool or from the other player, then they put their pair of cards in front of them, face up.

The game ends when one player runs out of cards or there are no more cards in the pool. The winner is the player with most pairs in front of them.

What if………

………….you played the game by making pairs of cards with a difference of 1?

Posted in Calculating, Fluency, Games

You need:

A set of counters for each player. One colour for each player. You can download Digit Dog counters here – print on card and cut out or print on paper and stick them on milk bottle tops.

A dice.

To play:

Take turns to throw a dice.

Double the number you throw, find the answer on the board and put your counter on it.

The winner is the first player to get three counters in a row.

Variation

Use a set of digit cards 1 – 19 and this board. Take turns to turn over a card, double the number and cover the answer on the board.

Posted in Calculating, Fluency, Games

Digit Dog and Calculating Cat are playing Pass the Peas Please, a game they found on www.nrich.org

A game for 2 or more players

You need:

2 dried peas (or beans or counters or sweets).

A plastic cup.

A piece of paper and pencil for each player.

To play:

Each player begins by writing 50 on their piece of paper.

Player 1 places two dried peas into the plastic cup and tosses them onto the game board.

They add the two numbers the peas land on and then take the total away from 50 and write the answer on their score sheet.

The next player takes a turn.

In the following turns, the players take the sum of the numbers away from the new remaining number.

The first player to reach zero wins.

Variations

Start with 0 on your score card and keep a running total of scores. The winner is the first to reach 50.

Use one pea instead of 2 and either subtract the number the pea lands on from 50 or keep a running total.

Use 3 peas to play the game.

Each player takes a turn to throw two peas and add the numbers. The player with the highest total wins that round. Play 10 rounds.

Each player takes a turn to throw two peas and add the numbers. The player with the lowest total wins that round. Play 10 rounds.

Each player takes a turn to throw two peas and finds the difference between the numbers. The player with the highest difference wins that round. Play 10 rounds.

Make your own boards. Choose the numbers you put on the board.

## Finding pairs

Digit Dog and Calculating Cat are using one set of digit cards 1 – 10 and looking for pairs that make 10.

Download a set of digit cards here. You will need cards 1 to 10. Print double-sided to have Digit Dog on the back!

How many pairs that make 10 can you make? Put the cards on the baseboard.

Can you use all the cards? Which cards are left over? Why?

Try making some other totals – remember you can only use one set of cards from 1 – 10.

What if you make 9? Which cards are left over? Why?

What about 8?  or 12?  or 13?  or 11? Investigate the number of pairs and the cards that you cannot use.

Record your work. Write down the pairs of numbers and their totals.

Posted in Calculating, Fluency, Games, Logical reasoning

## Playing with cards 5

Any number of players or teams of 2.

You need:

A pack of playing cards arranged in a 13 x 4 array, face down. Ace = 1, picture cards = 10.

To play:

Player 1 turns over 2 cards and adds the values. Player 1 then turns over another two cards and adds the values. If the totals match, player 1 keeps the 4 cards and has another turn. If they do not match, the cards are turned face down again and it is player 2’s turn.

The game continues until no more matches can be made.

Can you remember where cards are? How will this help you? Watch carefully when other players are turning over cards.

Variations

1. Play the same game but subtract the pairs of cards. If the answers match, keep the cards and have another turn. If they don’t, turn them face down again.
2. On each turn, turn over two cards. If the numbers match, keep the cards and have another turn. If they don’t match turn the cards face down again.
3. On each turn, turn over two cards. If the numbers and colours match, keep the cards and have another turn. If they don’t match turn the cards face down again.
4. On each turn, turn over two cards. If both numbers are odd or both even, keep the cards and have another turn. If they don’t match turn the cards back face down.
5. Make up your own rules!

Posted in Calculating, Fluency, Games

## Playing with cards 4

2 – 5 players

You need:

Digit cards 1 – 10 (a set for each player) or playing cards with the picture cards removed.

To play:

Shuffle the cards and place in the centre.

Each player takes two cards from the pile, adds the cards together and tells everyone the total.

If the total is odd, the player keeps the cards. If the total is even, the cards are returned to the centre pile.

Play ten rounds or until there are no cards left.

The winner is the player with most cards.

Variations

• Leave the picture cards in and give them a value e.g. J = 11, Q = 12, K =13
• Deal 3 cards to each person.
• Keep adding the totals of the cards you keep. First player to reach a total of 50 wins.

Posted in Calculating, Fluency, Games

## Break the Bank at 27

A game for 2 – 5 players

You need:

A pack of playing cards – picture cards worth 10, Ace worth 1

To play

Deal out the whole pack of cards to players. Players put cards face down in a pile in front of them.

The first player turns over the top card and puts it in the centre. The next player puts their top card in the centre and adds the value of the two cards. Play continues like this, each player placing their card on the centre pile and adding the value to the total. When the total reaches 27 or more, that player takes the cards from the centre and puts them in their pile.

For example, in this game:

Digit Dog put down 2 and said “2”.

Calculating Cat put down 9, added it to the 2 and said “11”

Digit Dog put down 6, added it to 11 and said “17”.

Calculating Cat put down 6, added it to 17 and said “23”.

Digit Dog is now hoping to turn over a 4 or more so that he can take the cards.

The game continues for an agreed time or until one player has no cards.

The winner is the player with most cards.

Variations

Give the Ace and picture cards different values e.g. A = 11, J = 12, Q = 13, K = 14.

Change the number that breaks the bank – make it more or less than 27.

Posted in Calculating, Fluency, Games

## Playing with cards

Two players

You need:

A pack of playing cards – picture cards are worth 10, aces are worth 1

To play:

Deal out all the cards to the two players and place in a pile, face down.

Players take turns to say 1, 2, 3 GO! and both players turn over their top card.

Players add the two numbers on the cards and the first one to say “the total is…..” (correctly) wins the two cards.

Play until all cards have been used, then each player counts how many cards they have won.

The winner is the player with most cards.

Variations

Play quick subtraction where players subtract the smaller number from the larger.

Play quick multiplication where players multiply the two numbers and say “the product is…..”

To make the game easier:

• Remove the picture cards
• Just use cards Ace to 5.
• Play with digit cards – make several sets of 0 – 5 cards.

To make the game more challenging:

• Give the picture cards different values: J = 10, Q = 11, K = 12
• Have 3 or 4 players and add all the numbers.