Posted in Logical reasoning, Patterns

Patterns in names

What patterns can you see on the grids? Describe the patterns on each grid. What do you notice?

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If we added another row, can you predict which square you would colour in? Why do you say that? Explain your thinking.

Try your own name and look for patterns.

Print the 6 x 6 grid here. Write your name in the grid, one letter in each square, repeating it until all the squares are filled. Now colour in the squares which have the first letter of your name in them. What patterns have you made? Can you think of a way to describe the patterns?

Ask people you know to try it. What is the same and what is different about the patterns different names make?

What if you tried a larger grid?

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What has changed?

What about a smaller grid? What patterns can you see then?

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Try some different sized grids with your name.

Download grids

Grids 2 to 8,

Grids 9 and 10.

For more pattern activities go to Digit Dog’s home page, go to Categories and select Patterns

Posted in Logical reasoning, Problem solving

100 square jigsaw

Digit Dog and Calculating Cat are doing a 100 square jigsaw. They are looking at each piece and deciding where it goes on the grid.

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Have a go at completing the puzzle.

Download the blank grid here. Download this 100 square and cut along the thicker lines to create the jigsaw pieces.

Think about which piece you are going to put in first. Why have you chosen that one? Which piece has the lowest number on it? Where does that go? How do you know?

Where does the highest number go?

Whenever you place a piece on the board, explain why you are placing it there.

Can you see patterns to help you?

Challenge yourself

  • Turn all the pieces face down. Turn over one piece at a time and work out where it goes on the grid. Explain your thinking.
  • If you want to try an interactive version of this puzzle, go to https://nrich.maths.org/5572
  • Print this 100 square and cut out your own puzzle pieces for a friend to solve.

 

 

 

Posted in Additive relationships, Calculating, Logical reasoning, Making totals

Finding pairs

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

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

Download a baseboard here. Print two.

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

Memory addition

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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 Conceptual understanding, Fluency, Games, Logical reasoning

Playing with cards 3

Largest number

2 – 4 players

You need:

Digit cards 1 – 9  (one set per player, shuffled) or a pack of playing cards, Ace to 9 only.

To play:

Deal 2 cards to each player.

Players turn over their cards and make the largest 2-digit number they can with the cards they have been dealt.

The player with the largest number scores a point.

Play ten rounds. The winner is the player with most points.

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Variations

  • Deal 3 cards to each player and make 3-digit numbers.
  • Try 4 or 5- digit numbers.
  • Get a point for the smallest number rather than the largest.
  • Play more than 10 rounds.
Posted in Logical reasoning, Patterns

Making patterns 5

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Calculating Cat has made an AB pattern with the sticks:

purple, yellow, purple, yellow, purple, yellow……….

See if you can use her rule to make a pattern with sounds or movements. You could try:

  • Using your hands to clap, click, clap, click, clap, click……….
  • Making sounds such as whistle, shout, whistle, shout………..
  • Using movements such as hop, jump, hop, jump, hop, jump……or
  • stand, sit, stand, sit, stand, sit ……….or
  • wave, stamp, wave, stamp, wave, stamp………….or
  • run, stop, run, stop……..

 

What about this pattern? Look for the rule then use it to make a pattern with sounds or movements.

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Play with patterns:

  • One person makes a repeating pattern using objects. Another person works out the rule and uses it to make a pattern with sounds or movements.
  • One person makes a repeating pattern with sounds or movements. Another person copies it.
  • Look for repeating patterns in your environment. Say the rule and use it to make a pattern using sounds or movements.
Posted in Logical reasoning, Patterns

Making patterns 4

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Digit Dog has made lots of linear repeating patterns, so now he is exploring cyclic patterns.

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What do you notice about Digit Dog’s pattern?

He had to make sure that the pattern continued round and round the plate.

Try making some cyclic patterns using plates and objects.

Draw a pattern around the edge of a page.

Make a pattern with a mistake and ask someone else to spot it..

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Spot the mistake.

What is Digit Dog’s rule?

Where has he gone wrong? How do you know?

What does he have to do to put it right?

Posted in Logical reasoning, Patterns

Making patterns 3

Calculating Cat has found a paper napkin.

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What can you see? What do you notice?

Look at the rows of cakes. Look at the columns.

Describe the cakes.

How many cakes with hearts are there?

How many brown cakes?

How many cakes have cases that are not pink?

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Calculating Cat noticed an AB pattern in the second row. She used the rule to make her own pattern.

Look at the two patterns. What is the same? What is different?

Try making your own pattern with different objects. Remember the rule. Your pattern can go on and on and on………….

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Now Calculating Cat has an ABAC pattern.

Draw coloured lines to copy Calculating Cat’s pattern. Continue the pattern to the end of your page.

Investigate the other rows and columns on the paper napkin.

Look for patterns that decorate other things around the house and outside. Which patterns are repeating patterns?

Posted in Logical reasoning, Patterns

Making patterns 2

Digit Dog has made another AB pattern using buttons.

buttons AB

Can you work out the rule?

What sort of button would come next?

Play What’s missing?

what's missing buttons

What sort of button needs to go in the gap?

Make your own repeating pattern, take one object away and ask someone to work out what is missing.

You can use anything to make a pattern………..

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Look at Calculating Cat’s pattern.

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What is the rule?

Why is it different from the previous patterns?

This pattern has 3 objects in the repeat.

Orange, blue, pink, orange, blue, pink ………..

ABC, ABC………….

What colour button comes next?

Posted in Logical reasoning, Patterns

Making patterns

Pattern is an important part of mathematics. Recognising that a sequence of objects makes a pattern, being able to copy, extend and explain the pattern is an important step towards understanding number patterns.

Digit Dog has been making a repeating pattern – a sequence that is governed by a rule. What is Digit Dog’s rule?

outdoor AB pattern DD

Can you copy Digit Dog’s pattern?

Can you continue the pattern?

Calculating Cat has also made a repeating pattern.

outdoor AB pattern CC

Look at both patterns.

What is the same? What is different?

These are both AB patterns. Two objects form the repeating unit.

Digit Dog has used a stick and a leaf:

Stick, leaf, stick, leaf, stick, leaf…………..

A, B, A, B, A, B……………..

Calculating Cat has used different objects but there are still two objects repeating over and over:

A, B, A, B, A, B……………..

Leaf, stone, leaf, stone, leaf, stone ………….

Can you make an AB pattern?

Start a pattern and see if someone else can continue it.

 

Posted in Calculating, Logical reasoning, Money

Toss the coin – nasty version

Toss the coin

Here’s a variation on the Toss the coin game.

You need:

A board for each player,

Two coins to toss,

A pile of coins to choose from (at least 32 for 2 players)

To play:

Take turns to toss your two coins:

  • One head and one tail – pick up two coins from the pile.
  • Two tails – take a coin from the other player’s grid.
  • Two heads – give one of the coins from your grid to the other player.

 

Put the coins on your grid, one on each square.

The game ends when one grid is full.

The winner is the player with the most money.

Which coins will you take from the other player? Which ones will you give away? Why?