Have students cut out a 3x3, 4x4, and 5x5 squares out of graph paper. Then have students arrange the squares in this space to form a right triangle in the middle. Allow students to discover that the only way to form a right triangle is by having the largest (5x5) triangle as the diagonal of the triangle. Ask them if you would still have a right triangle if you switch the other two squares (3x3 and 4x4). Then have them glue down the squares in this space in the correct arrangement. Next discuss how the areas of the squares are related and how we can use those areas to find missing side lengths. Discuss how the side lengths of the squares can be used to find missing areas of the squares. Make sure you point out the difference between finding the area of one of the squares versus the side length (for side length you have to take the square root at the end). Lastly, point out the difference in the units when you are talking about a side length (cm, etc...) or area (cm2, etc).
After this graph paper discovery, model the two examples and then have students independently work out the six problems and complete the exit ticket.
Also great for Math Centers!
Answer key included!
Also, check out my other Pythagorean Theorem products- Pythagorean Theorem Graph Paper Discovery Activity
, Pythagorean Theorem Amazing Race QR Code Activity
, Pythagorean Theorem with Models Puzzle Riddle Activity
, Pythagorean Triples Activity
, Square Roots and Pythagorean Theorem Board Game
, Pythagorean Theorem with Models Exit Ticket
, Applications of the Pythagorean Theorem Word Problems PLUS Spiral Review
, Pythagorean Theorem Word Problem Stations
, Pythagorean Theorem Notes with Word Problems and
, Applications of Pythagorean Theorem Word Problems!!
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