How many different ways could Digit Dog eat his treats?

Which one will he eat first, second, third?

How many ways do you think there could be?

How will you know when you have found all the different ways he could do it?

How are you going to record the different ways?

What about………

…….using the pictures of the treats?

…….drawing pictures of the treats?

…….writing the names or initials of the treats?

…….using a table to organise your work?

Think about how you can organise your work. How can you be systematic so that you can convince everyone that you have found all the different ways?

What if…..

……….he had a lollipop as well?

Would there then be more ways or fewer ways?

A lot more? Just a few more? Why do you think that?

Did you try the Christmas Tree Decoration Challenge on Day 11? What is the same and what is different about the two challenges? What skills and strategies did you use in both of them?

Digit Dog is playing a game with Calculating Cat. He has 6 tree decorations and has hidden some of them in his box. Calculating Cat has to work out how many he has hidden.

Calculating Cat is thinking about the Numicon® shape to help her work out how many are in the box.

She knows the whole is 6 – that’s the number of decorations Digit Dog had to start with.

She knows one of the parts is 3 – that’s the number of decorations not in the box.

Now she can work out the unknown part – that’s the number of decorations in the box – by thinking about the spaces in the Numicon® shape.

She could have solved the problem by using number bonds. If she knows 3 + 3 = 6, she can work out the missing number.

What if………

……….Digit Dog put a different number of decorations in the box?

………..he had more decorations to start with? Fewer decorations?

Try out the game for yourself. One person hides objects in a box, their partner works out how many are hidden. Remember to explain how you work it out.

Digit Dog was looking at the Christmas wrapping paper and noticed some patterns.

What do you notice? What is the pattern?

What will the next picture be? And the next? And the one after that? How do you know?

What will the 20th picture be? What about the 35th? How can you work it out? Challenge older children to use their knowledge of multiples to work out the answer.

What about this pattern?

What is the same and what is different?

Both patterns have 4 pictures that repeat over and over and over……………

They are ABCD patterns.

Digit Dog has used multilink cubes to make an ABCD pattern. He has used a different colour cube for each picture. What colour will be next?

Calculating Cat has done the same.

What do you notice?

Next Digit Dog and Calculating Cat cut their strips into smaller pieces and rearranged them to make new patterns. What is the same and what is different? Which picture would come next? Which colour multilink cube?

There are 8 rooms and the number tells you how many presents are in each room. Digit Dog has to go into the rooms and collect the presents BUT he can only go into each room ONCE.

How many presents can Digit Dog collect?

How many different ways can he go though the store?

Can you record his routes? How might you do this?

Can you do it a different way, Digit Dog, and collect more presents?

What’s the most presents you can collect?

What’s the smallest number of presents?

Look for children who are planning the routes and can explain their thinking.

Simplify the task

Put Numicon® shapes in each room so that Digit Dog can collect a shape when he has gone through the room. These can then be added together to find the total number of presents.

I went to rooms 1, 2, 3, 7 and 8. How many presents did I collect altogether?

I have put the shapes on the number line so that I can see the total without counting in ones.

2. Use the blank store and put just numbers 1, 2 and 3 in the rooms.

3. Put just Numicon® shapes in the rooms – no numerals.

Extend the challenge

Use the blank store and put higher numbers in each room.

Challenge children to find all possible routes and to explain how they know they have found them.