Use this activity to help your students discover the Pythagorean theorem.
Pythagorean theorem work is often skill and drill work with contrived right triangle problems. In this activity students work with a visual representation of the Pythagorean theorem in order to gain a conceptual understanding of the theorem.
Students can engage in several of the standards of practice including: (3) construct viable arguments and critique the reasoning of others, (4) model with mathematics, (7) look for and make use of structure, and (8) look for and express regularity in repeated reasoning. Students can also engage in practice 5: use appropriate tools strategically by using a program such as Geometers Sketchpad or Geogebra to investigate the theorem.
Here is a GeogebraTube app on the Pythagorean Theorem Simply click on and drag points A, B or C to manipulate the model.
For members we have an editable Word doc and solutions.
CCSS: 8.G.6 Explain a proof of the Pythagorean theorem