ALEX Lesson Plans
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Title: Proofs into Practice: The Pythagorean Theorem in the Real World
Description:
The introduction of this lesson has students verifying the famous Pythagorean Theorem with a handson proof. Students will then apply the Theorem in one of two ways: by solving for the side lengths of a right triangle and by determining whether three side lengths could possibly form a right triangle. Finally, students will choose one of two reallife applicataions to explore, using the Pythagorean Theorem.
Standard(s): [MA2013] GEO (912) 21: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.* [GSRT8]
Subject: Mathematics (8  12)
Title: Proofs into Practice: The Pythagorean Theorem in the Real World
Description: The introduction of this lesson has students verifying the famous Pythagorean Theorem with a handson proof. Students will then apply the Theorem in one of two ways: by solving for the side lengths of a right triangle and by determining whether three side lengths could possibly form a right triangle. Finally, students will choose one of two reallife applicataions to explore, using the Pythagorean Theorem.
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Title: Quadrilaterals
Description:
This is an inquiry lesson used to review Algebra 1 objectives by applying them to geometry concepts. Students explore the properties of quadrilaterals and classify them by definition. This lesson can be use in geometry classes. Students in geometry classes can apply theorems and definitions of quadrilaterals rather than as an inquiry lesson.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [MA2013] GEO (912) 1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment based on the undefined notions of point, line, distance along a line, and distance around a circular arc. [GCO1]
Subject: Mathematics (8  12)
Title: Quadrilaterals
Description: This is an inquiry lesson used to review Algebra 1 objectives by applying them to geometry concepts. Students explore the properties of quadrilaterals and classify them by definition. This lesson can be use in geometry classes. Students in geometry classes can apply theorems and definitions of quadrilaterals rather than as an inquiry lesson.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Web Resources
Podcasts
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Title: The Pythagorean Theorem TV
Description:
This website shows videos to help students and teachers understand the Pythagorean Theorem.
Standard(s): [MA2013] MI1 (912) 10: Determine the mathematical impact of the ancient Greeks, including Archimedes, Eratosthenes, Euclid, Hypatia, Pythagoras, and the Pythagorean Society. (Alabama)
The Pythagorean Theorem TV
http://www.mathtv.co...
This website shows videos to help students and teachers understand the Pythagorean Theorem.
Teacher Tools
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Title: The Pythagorean Theorem TV
Description:
This website shows videos to help students and teachers understand the Pythagorean Theorem.
Standard(s): [MA2013] MI1 (912) 10: Determine the mathematical impact of the ancient Greeks, including Archimedes, Eratosthenes, Euclid, Hypatia, Pythagoras, and the Pythagorean Society. (Alabama)
The Pythagorean Theorem TV
http://www.mathtv.co...
This website shows videos to help students and teachers understand the Pythagorean Theorem.
Thinkfinity Learning Activities
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Title: Understanding the Pythagorean Relationship Using Interactive Figures
Description:
The Pythagorean relationship, a2 + b2 = c2 (where a and b are the lengths of the legs of a right triangle and c is the hypotenuse), can be demonstrated in many ways, including with visual 'proofs' that require little or no symbolism or explanation. The activity in this example from Illuminations presents one dynamic version of a demonstration of this relationship. eMath Investigations are selected eexamples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The eexamples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the eexamples are natural companions to the iMath investigations.
Standard(s): [MA2013] (8) 23: Apply the Pythagorean Theorem to find the distance between two points in a coordinate system. [8G8]
Subject: Mathematics Title: Understanding the Pythagorean Relationship Using Interactive Figures
Description: The Pythagorean relationship, a2 + b2 = c2 (where a and b are the lengths of the legs of a right triangle and c is the hypotenuse), can be demonstrated in many ways, including with visual 'proofs' that require little or no symbolism or explanation. The activity in this example from Illuminations presents one dynamic version of a demonstration of this relationship. eMath Investigations are selected eexamples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The eexamples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the eexamples are natural companions to the iMath investigations. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Proof Without Words: Pythagorean Theorem
Description:
In this student interactive, from Illuminations, students watch a dynamic, geometric '' proof without words'' of the Pythagorean Theorem. By clicking on a button, students can see the theorem in action; they are then challenged to explain the proof.
Standard(s): [MA2013] (8) 23: Apply the Pythagorean Theorem to find the distance between two points in a coordinate system. [8G8]
Subject: Mathematics Title: Proof Without Words: Pythagorean Theorem
Description: In this student interactive, from Illuminations, students watch a dynamic, geometric '' proof without words'' of the Pythagorean Theorem. By clicking on a button, students can see the theorem in action; they are then challenged to explain the proof. Thinkfinity Partner: Illuminations Grade Span: 6,7,8

