Pythagorean Theorem Investigation

What special relationship exists among the sides of a right triangle? Explore this relationship using a computer applet, cut-and-paste activity, and video tutorial to develop the Pythagorean Theorem and its significance to right triangles.

Young geometers use technology (Geometer’s Sketchpad) to explore the Pythagorean Theorem and analyze different proofs. Students work in small groups to gain insight into the relationships of the sides of right triangles by constructing...

In order to learn about the Pythagorean Theorem, young mathematicians investigate relations and patterns between different sides of a right triangle to look for possible relations among the squared sides. Once they have established the...

Young mathematicians join the ancient order of the Pythagoreans by completing an assessment task that asks them to find the area of tilted squares on dot paper. They then look at patterns in the squares to develop the Pythagorean Theorem.

Math scholars investigate the Pythagorean Theorem. They explore the proof of the Pythagorean Theorem by using area and by dissection. They apply what they have learned about the Pythagorean Theorem. TI-nspire handheld and appropriate...

Investigate the meaning of the Pythagorean Theorem through modeling. After comparing the area of the square of each side, individuals cut triangles and squares to facilitate the comparison.

Students find the length of diagonals.  In this Pythagorean theorem lesson, students use the Pythagorean theorem to determine the length of diagonals. 

Use a new medium to investigate an old mathematical theorem. Young mathematicians learn about the Pythagorean Theorem from a YouTube video in the Socratica Geometry playlist. They first see if a set of values is a Pythagorean triple and...

Learn to use the Pythagorean Theorem with non-right triangles. Pupils use the interactive to discover the relationship between the lengths of sides for acute and obtuse triangles. They compare the squares of the sides of the triangles to...

Learners construct a variety of right triangles using a right-angled set square, cutting corners from pieces of paper or cardboard, and using dynamic geometry software. They measure the sides of these various right triangles and record...