Write each of these digits on a piece of paper.

Draw a place value grid that looks like this:

Place each digit card into a position on the place value grid to create a number: e.g. 64.9

If you use all the digit cards, what is the smallest number you can make?

If you use all the digit cards, what is the largest number you can make?

Can you use a systematic method for working out ALL the possible numbers you can make?

Can you arrange them from smallest to largest?

EXTENSION: What happens if you add another digit card- a 5 for example. Does this mean you can make more different numbers?  

Make a Water Wheel  

Equipment for 1 water wheel

2x sturdy paper plates

Ruler and pencil

Plastic tub

Length of dowel longer than the width of the tub

Scissors

Sticky tape

Recycled plastic cups, pots or paper cups

Permanent marker

Stapler

Jug or watering can

Water

To Make the Water Wheel

1. Measure and mark the centre of the two paper plates.

2. Perforate the plates with a pencil at the marks.

3. Push the dowel through the two plates.

4. Staple a minimum of three cups snugly between the two plates.

5. The cups should be evenly spaced and all facing the same direction.

6. Mark one of the cups prominently with a permanent marker.

7. Balance the wheel width-ways across the tub.

Investigation

Steadily pour the water from a jug into the top cup of the water wheel and watch it begin to rotate as the water flows. Count how many rotations the wheel makes using 1 litre of water. Use the marked cup to keep track of rotations. Experiment by changing the height and speed of the flow of water. What difference does a faster flow make?

Three Ball Line Up

Two children are playing with three balls, one blue, one red and one green.

They toss up the balls, which run down a slope so that they land in a row of three.

In how many different ways could the balls land?

Can you use and apply a systematic way of working to ensure that you find all the possible solutions?

If you want to explore this challenge using an interactive activity, please follow this link.

Extension: What would happen if you added a Yellow ball as well?

Would this increase or decrease the number of possible ball arrangements? Prove it!

Cups Cups Cups

For this challenge, you will need lots of different cups. 

Which might you choose if you wanted a lot to drink?  Why?

Which one would you choose if you did not want a lot to drink?  Why?

Make a prediction. Try to arrange the cups in a line from the one that holds the most liquid to the one that holds the least liquid.

Design a way of finding out if you were right or not.

Did you get the order right? How do you know for sure?

Rank these events from least to most naughty to create a naughtyometer!

Use the following questions to help you make up your mind.

Not doing any homework for a whole week

Is school like a job? Are there more excuses for not doing homework than schoolwork? What counts as a good excuse? Could there be good reasons for not doing any work?

Stealing from the school canteen / Stealing someone's lunch

Is stealing always wrong? Is it worse to steal from a person or an organisation? Who are you stealing from if you steal from a school?

Calling another pupil a bad name - Calling a teacher a bad name

Is calling someone names worse than hitting someone? Would a child feel worse than a teacher? Would you get punished worse for insulting a teacher than a child? Should you?

Hitting someone / Seeing someone hitting someone, and doing nothing about it / Hitting someone back

Can two wrongs make a right? Can you do something to someone that’s done it to you without it being bad?

Is watching someone get hit worse than watching someone fall over?