## Visual Activities

This section offers activities that will appeal to visual learners as they come to understand Thales' Theorem.

### Try to Prove it Wrong

One great way for students to see the efficacy of a theorem is to give them a chance to disprove it.

Working in partnerships or independently, ask students to try to draw the diameters of several different circles. Ask them to see if they can find a point on the circle at which angle ABC will not, in fact, be a right angle. Let them use protractors to measure the angles they form. Students will not be able to disprove the theorem, but they will learn significantly more about how and why it works.

### Illustrate a Proof

This is another activity that students can do independently or with partners.

Let them look at the proof for Thales' Theorem and analyze it. Then, ask them to create a short comic strip or booklet that illustrates the proof one step at a time. Their illustrations should be accurate, but they can also be funny and creative. Students should show how and why the theorem is true. Finally, let students share what they came up with.

## Kinesthetic Activities

These activities let students use hands and bodies to learn more about Thales' Theorem.

### Act Out an Interview

Students might be intrigued that very little is actually known about Thales and his writing.

Break them into partnerships and let them learn what they can about Thales and the work that led up to his theorem. Then, have them act out a scene in which a reporter is interviewing Thales. Encourage them to get as dramatic as they can, using gestures and facial expressions to dramatize what they imagine Thales' discovery to have felt like.

### Making Angles in Circles

Bring students out to the recess yard for this activity.

Using chalk, draw several different circles on the ground. Then, break students into groups of four. Have them use their bodies to represent the diameters of the circles and the angles formed when they create a point B on the circle. They can use protractors to measure the new, right angles their bodies create. Take pictures of your students enacting Thales' Theorem for future reminders and review.

## Verbal Activities

Finally, this section offers activities that have students access Thales' theorem via language.

### Compare and Contrast Proofs

Have your students look at two different proofs for Thales' Theorem. Let them work with partners to discuss and analyze how each proof works and what exactly it shows. Then, ask them to write a paragraph highlighting the way each proof works, the similarities between them, and the ways they are different from each other. Ask students to think about whether they believe it is necessary to have a second proof.

### Understand the Converse

Break students into small groups and ask each group to research the converse of Thales' theorem. They should read about what the converse is and think about why it works, looking at different proofs to help them understand. Then, ask them to create a short booklet representing Thales' theorem as well as its converse and representing the relationships between these two different theorems.