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# Adding Odd Numbers

### Why do this problem?

### Possible approach

### Key question

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### Possible support

Encourage students to work in pairs on the proof sorting exercise.

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### Possible extension

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Age 11 to 16

Challenge Level

- Problem
- Student Solutions
- Teachers' Resources

This problem, along with the rest of the problems in the Proof for All (st)ages feature, provides an excellent context for observing, conjecturing and thinking about proof, and for appreciating the power of algebra.

*These printable cards for sorting may be useful:
Adding Odd Numbers Proof Sort*

Is there a way to represent the sum of odd numbers that will help to explain the patterns you noticed?

Encourage students to work in pairs on the proof sorting exercise.

Before embarking on this problem, students could take a look at I Like to Prove It!, which contains a collection of more accessible problems that also challenge students to develop convincing arguments.

Students could be encouraged to work on the rest of the problems in the Proof for All (st)ages feature.