Posted in Logical reasoning, Patterns

Making patterns 5

Screenshot 2020-06-04 08.30.08

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.

Screenshot 2020-06-04 08.38.49

 

Screenshot 2020-06-04 08.45.36

 

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

Screenshot 2020-06-03 10.38.51

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

Screenshot 2020-06-03 10.48.38

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..

Screenshot 2020-06-03 11.03.45

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.

Screenshot 2020-06-03 09.36.14

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?

Screenshot 2020-06-03 09.47.10

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………….

Screenshot 2020-06-03 09.56.16

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………..

Screenshot 2020-06-01 12.24.47Screenshot 2020-06-01 12.24.41

Look at Calculating Cat’s pattern.

Screenshot 2020-06-01 12.28.50

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 Counting, Games, Money

Collect the Coins – variations

Here are some variations for Digit Dog’s Collect the Coins game

Screenshot 2020-05-21 10.27.13

A game for two players

You need:

  • A counter for each player to move round the board.
  • A dice.
  • Coins to put in the bank (put them on the star).

To play the original game:

  • Each player choose a track and put your counter on start.
  • Take turns to throw the dice and move along the track.
  • Keep going round your track. If you land on the bank, collect two coins. If you pass through the bank, collect one coin.
  • The winner is the first to collect 5 coins.

Variations

Play the game until all the coins have gone from the bank. The winner is the person with the most coins. Count the coins then name the coins.

Put coins of different value in the bank. Play until all the coins have gone. The winner is the one with the largest amount of money.

Put coins of the same value in the bank e.g. all 5p coins to practise counting in 5s when the coins are totalled at the end of the game.

Decide on an amount to collect e.g. 10p. The winner is the first player to collect that amount exactly.

Posted in Counting, Games, Money

Collect the Coins

Play Digit Dog’s Collect the Coins game

Screenshot 2020-05-21 10.27.13

A game for two players

You need:

  • A counter for each player to move round the board
  • A dice
  • Ten coins to put in the bank (put them on the star)

To play:

  • Each player choose a track and put your counter on start.
  • Take turns to throw the dice and move along the track.
  • Keep going round your track. If you land on the bank, collect two coins. If you pass through the bank, collect one coin.
  • The winner is the first to collect 5 coins.
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?

 

Posted in Calculating, Fluency, Money

Toss the coin

Digit Dog has got a new game.

Toss the coin

To play the game you will need:

  • A board for each player (download boards here),
  • A coin for each player to toss,
  • A pile of assorted coins to choose from (at least 32 for 2 players).

To play:

Take turns to toss your coin. If it’s heads, choose one coin from the pile. If it’s tails, choose two coins.

Put the coin(s) on your grid, one on each square.

The first player to cover their grid wins.

At the end of the game count how much money you have altogether on your grid.

Variations

Use this board which has a smaller grid.

Screenshot 2020-05-19 12.17.46

Select the coins that go in the centre according to the needs of the child:

  • just use one pence coins for a simple counting game.
  • use coins up to 10p to make calculating easier.
  • use 5p, 10p and 20p to practise countng in 5s and 10s.

Change the rules:

The game ends when the first person fills their grid but the winner is the player with the most money on the board. If this is the rule, which coins are you going to try and pick up? 

The game ends when the first person fills their grid but the winner is the player with the least money on the board. How does changing the rule change the way you choose coins? Which coins do you want to pick up now?

Posted in Calculating, Logical reasoning, Money, Problem solving

How much is in the purse?

5 coins

Calculating Cat has 5 coins in her purse.

Think about which coins they could be. Get some coins and work out the possibilities.

What is the largest amount that could be in the purse? Which coins would that be?

What is the smallest amount that could be in the purse? Which coins would that be?

Digit Dog thinks that Calculating Cat might have 6p in her purse. Which coins is he thinking of? What about 10p?

Explore which coins could be in the purse. How many different amounts could there be?

Record the different amounts you have found.

Organise your answers so that you can be systematic and work out all the possible amounts.

What if there were fewer coins in the purse? Try it with just 2 or 3 coins.

What if the coins in the purse were silver coins?

What if there were only 1p, 2p, 5p and 10p coins in the purse?

What if no coin was worth more than 20p?

 

Posted in Counting, Fluency, Mathematical language

Counting leaves

Digit Dog is out in the garden again. This time he is counting leaves.

counting in threes

See if you can find some leaves that are arranged in threes.

Put the leaves in front of you, counting in threes as you go. Now take them away and count back in threes. Write the numbers you are saying. Find the numbers on digit cards or on a number line.

Digit Dog has 4 groups of 3 leaves. He has 12 leaves altogether.

What if he had 6 groups of 3 leaves? How many leaves would he have then?

What if he had 15 leaves altogether? How many groups of 3 would he have?

Make up some questions like this to ask someone about your set of leaves.

What about finding leaves that are arranged in different numbers?

leaves in nines

What do you think?

Posted in Length, Mathematical language

Sticks in order

The sun is shining and Digit Dog has been in the garden collecting sticks.

sticks in order

sticks in order W

He noticed that his sticks were different lengths and put them in order.

See if you can find some sticks and put them in order.

Talk about your sticks:

Say how many you have found.

Choose two sticks and say “This one is longer than this one”.  “This one is shorter than this one”.

Choose more than two sticks and say which is the shortest and which is the longest.

Make a set of sticks that are all the same length.

Choose one stick and look for other objects that are longer than it, shorter than it and the same length as it.

Make some pictures using your sticks. Have a look at this idea on www.creativestarlearning.co.uk