Thinkfinity Lesson Plans
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Title: Caesar Cipher
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In this lesson, one of a multipart unit from Illuminations, students investigate the Caesar substitution cipher. Text is encoded and decoded using inverse operations.
Standard(s): [MA2013] MI1 (912) 4: Explain the development and uses of sets of numbers, including complex, real, rational, irrational, integer, whole, and natural numbers. (Alabama) [MA2013] MI1 (912) 8: Solve problems from nonEuclidean geometry, including graph theory, networks, topology, and fractals. (Alabama) [MA2013] MI1 (912) 10: Determine the mathematical impact of the ancient Greeks, including Archimedes, Eratosthenes, Euclid, Hypatia, Pythagoras, and the Pythagorean Society. (Alabama)
Subject: Mathematics Title: Caesar Cipher
Description: In this lesson, one of a multipart unit from Illuminations, students investigate the Caesar substitution cipher. Text is encoded and decoded using inverse operations. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Mathematical Proofs
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In this lesson, from Science NetLinks, students explore the nature of logic, evidence, and proofs in the context of mathematics. This lesson would be appropriate after students are familiar with the Pythagorean Theorem.
Standard(s): [MA2013] DM1 (912) 11: Solve applicationbased logic problems using Venn diagrams, truth tables, and matrices. (Alabama) [MA2013] MI1 (912) 10: Determine the mathematical impact of the ancient Greeks, including Archimedes, Eratosthenes, Euclid, Hypatia, Pythagoras, and the Pythagorean Society. (Alabama) [MA2013] MI1 (912) 12: Summarize the history of probability, including the works of Blaise Pascal; Pierre de Fermat; Abraham de Moivre; and PierreSimon, marquis de Laplace. (Alabama)
Subject: Mathematics Title: Mathematical Proofs
Description: In this lesson, from Science NetLinks, students explore the nature of logic, evidence, and proofs in the context of mathematics. This lesson would be appropriate after students are familiar with the Pythagorean Theorem. Thinkfinity Partner: Science NetLinks Grade Span: 9,10,11,12
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] (8) 21: Explain a proof of the Pythagorean Theorem and its converse. [8G6] [MA2013] (8) 22: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in realworld and mathematical problems in two and three dimensions. [8G7] [MA2013] (8) 23: Apply the Pythagorean Theorem to find the distance between two points in a coordinate system. [8G8] [MA2013] GEO (912) 17: Prove theorems about triangles. Theorems include a line parallel to one side of a triangle divides the other two proportionally, and conversely; and the Pythagorean Theorem proved using triangle similarity. [GSRT4] [MA2013] GEO (912) 21: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.* [GSRT8] [MA2013] GEO (912) 29: Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation. [GGPE1] [MA2013] GEO (912) 30: Use coordinates to prove simple geometric theorems algebraically. [GGPE4] [MA2013] ALC (912) 8: Determine missing information in an applicationbased situation using properties of right triangles, including trigonometric ratios and the Pythagorean Theorem. (Alabama) [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.
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Title: Pythagorean Theorem Rap Song
Description:
This video puts the Pythagorean theorem in realworld terms, helping students visualize examples in which the formula comes into play. The professionally produced music and video is highly engaging for students. For teachers, there are links to song lyrics, activities, and questions. Many Flocabulary videos are only accessible through a paid subscription. *This particular video is available for free and without the need for an account signup.
Standard(s): [MA2013] (8) 22: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in realworld and mathematical problems in two and three dimensions. [8G7] [MA2013] GEO (912) 21: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.* [GSRT8] [MA2013] ALC (912) 8: Determine missing information in an applicationbased situation using properties of right triangles, including trigonometric ratios and the Pythagorean Theorem. (Alabama) [MA2013] MI1 (912) 10: Determine the mathematical impact of the ancient Greeks, including Archimedes, Eratosthenes, Euclid, Hypatia, Pythagoras, and the Pythagorean Society. (Alabama)
Pythagorean Theorem Rap Song
http://www.flocabula...
This video puts the Pythagorean theorem in realworld terms, helping students visualize examples in which the formula comes into play. The professionally produced music and video is highly engaging for students. For teachers, there are links to song lyrics, activities, and questions. Many Flocabulary videos are only accessible through a paid subscription. *This particular video is available for free and without the need for an account signup.
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] (8) 21: Explain a proof of the Pythagorean Theorem and its converse. [8G6] [MA2013] (8) 22: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in realworld and mathematical problems in two and three dimensions. [8G7] [MA2013] (8) 23: Apply the Pythagorean Theorem to find the distance between two points in a coordinate system. [8G8] [MA2013] GEO (912) 17: Prove theorems about triangles. Theorems include a line parallel to one side of a triangle divides the other two proportionally, and conversely; and the Pythagorean Theorem proved using triangle similarity. [GSRT4] [MA2013] GEO (912) 21: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.* [GSRT8] [MA2013] GEO (912) 29: Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation. [GGPE1] [MA2013] GEO (912) 30: Use coordinates to prove simple geometric theorems algebraically. [GGPE4] [MA2013] ALC (912) 8: Determine missing information in an applicationbased situation using properties of right triangles, including trigonometric ratios and the Pythagorean Theorem. (Alabama) [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.

