Posted in Chinese New Year, Numicon, Problem solving

2020 is the Chinese Year of the Rat

It’s the Year of the Rat

It’s the Chinese year of the rat and Digit Dog and Calculating Cat are using the Numicon® shapes to cover the picture of the rat.

You will need the rat picture (download here) and a set of Numicon® shapes. Ask learners to use the Numicon® shapes to cover the rat in any way they can.

cover the rat

How many different ways can you do it? Describe what you’ve done.

Compare your rat with your friend’s. What’s the same and what’s different? How did you check that your way was different from your friend’s?

  1. When the rat is covered, one child closes their eyes, another takes away one shape. Which one is missing? How do you know?
  2. Put some shapes in a feely bag, take them out one at a time and place on the rat. Can you find the ones you want by touch alone?  This helps with visualising the shapes.

Ask:

How did you cover the rat? How many shapes did you use? Talk about how you chose the shapes. Which shapes were most useful?

Can you cover the rat using different shapes?

How many different ways can you do it?

What is the fewest number of shapes you can use? The most?

Can you just use odd shapes? Even shapes?

What if you weren’t allowed to use the same shape more than once? How many ways can you do it? Is this more difficult? What are you thinking?

Encourage learners to describe and explain what they are doing.

Look for those learners who had a strategy for choosing shapes and those who did it randomly.

Look for learners who swap shapes for other equivalent shapes each time they look for a new arrangement rather than starting from the beginning.

Encourage learners to put all their completed rats together and ask “what is the same?” “what is different?”

 

Try the same activities with the other animals (download here).

 

IMG_0849

Posted in Christmas, Problem solving

Christmaths advent calendar

 

Digit Dog has got a Christmaths challenge for each school day in December.

Click on the images to reveal the first week’s challenges.

December 2ndScreenshot 2019-11-17 13.41.26

December 3rd Screenshot 2019-11-17 13.43.19

 

 

 

 

Screenshot 2019-11-17 13.44.42December 4thScreenshot 2019-11-17 13.46.21

                                                                                                December 5th

Screenshot 2019-11-17 13.49.21December 6th

 

 

 

 

 

 

Posted in Christmas, Numicon, Problem solving

Start planning your Christmaths with Digit Dog

One Santa’s sleigh – put the presents on Santa’s sleigh

You will need Santa’s sleighs (download and print) and a set of Numicon® shapes. Match the shapes to the spaces on the sleigh.

Screenshot 2018-11-30 16.27.13

  1. Give children just the shapes they need and let them match them to the spaces on the sleigh.
  2. Have a complete set of shapes for children to choose from.
  3. When the sleigh is covered, one partner closes their eyes, the other takes away one shape. Which one is missing?
  4. For an extra challenge, put the shapes in a feely bag and find the ones you need by touch alone.

Ask:

How many shapes do you need?

Which shape will fit here…..?

Is the shape that goes here big or small? Bigger / smaller than a red one?

Can you take away one shape and put two in its place?

Which shapes are easy to find?

5. Start with the blank sleigh and ask learners to use the Numicon shapes to cover it in any way they can.

How many different ways can you do it? Compare your sleigh with your friend’s. What’s the same and what’s different?

 

What if…………

You weren’t allowed to use the same shape more than once? How many ways can you do it? Is this more difficult? What are you thinking?

Can you use one shape repeatedly to cover the sleigh? Which shapes will work? Which won’t? Why?

What is the fewest number of shapes you can use? The most?

You use only odd shapes? Only even?

Find more ideas in the Santa’s Sleigh Challenge Booklet