Using "Squaring the Triangle" and "Pythagorean Explorer" to Address the "Pythagorean Theorem"

Determining the lengths of right triangles can be done using the Pythagorean Theorem

but why does it work and how can students apply this formula to solve problems?

Squaring the Triangle

URL: http://www.shodor.org/interactivate/activities/pyth/index.html

By manipulating the sides of a right triangle, students can repeatedly prove the Pythagorean Theorem by comparing the length of the sides and by viewing the area of the three squares formed by using the sides of the right triangle.

Where does this best fit?

X	Introduction	X	Direct Instruction, Exploration, Investigation
X	Reinforcement	X	Assessment
X	Intervention or Review	X	Extension

Estimated Time: 20 minutes

Cost, if any:	Required Equipment:	Required Plug-ins:
free	A computer with Internet connection	Java Virtual Machine or Java 1.4.2 (If you cannot manipulate the activity, follow the onsite instructions.)

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Pythagorean Explorer

URL: http://www.shodor.org/interactivate/activities/pyth2/

Students find the length of sides of right triangles using the Pythagorean theorem.  They have the option of level of difficulty and whether they want to keep score or not.

Where does this best fit?

X	Introduction	X	Direct Instruction, Exploration, Investigation
X	Reinforcement	X	Assessment
X	Intervention or Review	X	Extension

Estimated Time: 10-15 minutes

Cost, if any:	Required Equipment:	Required Plug-ins:
free	A computer with Internet connection	Java Virtual Machine or Java 1.4.2 (If you cannot manipulate the activity, follow the onsite instructions.)