Posted in Christmas, Numicon, Problem solving

# Christmas challenge – Day 8

## 8 rooms – collecting presents

Santa has asked Digit Dog to help him collect presents from his store. Here is a map of the store. (download and print your store here)

Digit Dog counters

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.

1. 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.