Fractions Jigsaw

Why do this problem:

This problem provides an opportunity to find equivalent fractions and carry out some simple additions and subtractions of fractions in a context that may challenge and motivate students.

For some students this will also invite questions like:

How has this puzzle been created, and how much freedom is there in this structure?

Possible approach :

Give the jigsaw to pairs of students to complete, being ready for discussion that may follow about fractions or puzzles of this type.

Here is a blank outline of the jigsaw for students to create their own, harder/easier versions of the puzzle.

You can create, print out, save and exchange customised jigsaws, domino activities and a variety of rectangular card sort activities using "Formulator Tarsia", free software available from the Hermitech Laboratory website .

Key questions :

• How did you start with this puzzle?
• At what stage did it get hard?
• How did you get through that block?
• How could it be made harder?

Possible support :

Use the blank template and create a jigsaw using only simple fractions. Give some of the piece positions at the start. Get the group creating appropriate jigsaws for each other to try. There may be good discussions in what makes one puzzle harder than another.

Possible extension :

• Can a set of pieces solve in more than one way ?

• How does our answer to these questions change for different size jigsaws.