Digit Dog and Calculating Cat have some red and blue baubles to put on their tree. They can only put 5 baubles on the tree and have to decide how many of each colour they use. How many different ways can they do it?
Look at the picture. What do you notice? Describe what you see.
What has Digit Dog done? What is Calculating Cat thinking?
How many different ways do you think they can put the baubles on the tree? Why do you think that?
Try it yourself. How are you going to record your different ways? How will you remember what you have done?
How do you know you have found all the different ways? Convince me.
Have you found any patterns?
Look for children who are starting to organise their work and systematically look for all the combinations. The activity is about exploring the combinations and reasoning about choices and patterns.
Ways to record
Provide enough baubles and trees so that each combination can be kept and checked. Children can then look at all the trees and say what is the same and what is different. Ask them to put the trees in order and look for a pattern.
Have number sentences on card and ask children to match the number sentence to the trees.
What does the 5 represent? It is the 5 blue baubles. The 0? There are no red baubles.
Write number sentences for each tree on separate post-it notes. These can then be sorted and put in order.
Use Numicon shapes to represent the number pairs.
There was a different number of baubles on the tree? Explore other numbers.
The challenge cards are extended versions of Digit Dog’s popular posts and are now available in packs of 5 with links to Curriculum for Wales 2022.
Each pack has 5 challenge cards, linked to a theme, concept or resource. There is also an overview of how Digit Dog Challenges address the five proficiencies, and links to the relevant Descriptions of Learning in the Mathematics and Numeracy Area of Learning and Experience.
There are currently two packs available.
The first pack has activities using my favourite resource – the Two-sided Beans
What patterns can you see on the grids? Describe the patterns on each grid. What do you notice?
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?
What has changed?
What about a smaller grid? What patterns can you see then?
A pack of playing cards arranged in a 13 x 4 array, face down. Ace = 1, picture cards = 10.
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.
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.
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.
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.
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.