Freedom and Constraints in the Classroom

Current

Freedom and Constraints in the Classroom

Our latest Creativity feature for students encourages exploration of situations which require them to consider freedom and constraints.
This feature offers problems suitable for classroom use on the same theme, which you may wish to explore with your students.
1 Step 2 Step link

1 Step 2 Step 

Stage: 3 Challenge Level: Challenge Level:1

Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

Largest Product link

Largest Product 

Stage: 3 and 4 Challenge Level: Challenge Level:1

Which set of numbers that add to 10 have the largest product?

Cinema Problem link

Cinema Problem 

Stage: 3 and 4 Challenge Level: Challenge Level:1

A cinema has 100 seats. Show how it is possible to sell exactly 100 tickets and take exactly £100 if the prices are £10 for adults, 50p for pensioners and 10p for children.

What Numbers Can We Make? link

What Numbers Can We Make? 

Stage: 3 Challenge Level: Challenge Level:1

Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?

Take Three from Five link

Take Three from Five 

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Caroline and James pick sets of five numbers. Charlie chooses three of them that add together to make a multiple of three. Can they stop him?