Thinkfinity Lesson Plans
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Title: Vigenere Cipher: Student Reproducible
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This reproducible worksheet, from an Illuminations lesson, poses several questions to students about the Vigenere cipher, which is a more complex form of the Caesar cipher.
Standard(s): [MA2013] AL2 (912) 46: (+) Use permutations and combinations to compute probabilities of compound events and solve problems. [SCP9]
Subject: Mathematics Title: Vigenere Cipher: Student Reproducible
Description: This reproducible worksheet, from an Illuminations lesson, poses several questions to students about the Vigenere cipher, which is a more complex form of the Caesar cipher. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Code Crackers
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In this unit of two lessons, from Illuminations, students learn about two simple coding methods, the Caesar cipher and the Vigenere cipher. Students then use matrices and their inverses to create more sophisticated codes.
Standard(s): [MA2013] AM1 (912) 6: (+) Use matrices to represent and manipulate data, e.g., to represent payoffs or incidence relationships in a network, including linear programming. [NVM6] (Alabama)
Subject: Mathematics Title: Code Crackers
Description: In this unit of two lessons, from Illuminations, students learn about two simple coding methods, the Caesar cipher and the Vigenere cipher. Students then use matrices and their inverses to create more sophisticated codes. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Combinations
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This unit of two lessons, from Illuminations, focuses on combinations, a subject related to the probabilityandstatistics strand of mathematics. Students are encouraged to discover all the combinations for a given situation using problemsolving skills (including elimination and collection of organized data) and drawing conclusions. The use of higherlevel thinking skills (synthesis, analysis, and evaluations) is the overall goal.
Standard(s): [MA2013] DM1 (912) 12: Use combinatorial reasoning and counting techniques to solve applicationbased problems. (Alabama)
Subject: Mathematics Title: Combinations
Description: This unit of two lessons, from Illuminations, focuses on combinations, a subject related to the probabilityandstatistics strand of mathematics. Students are encouraged to discover all the combinations for a given situation using problemsolving skills (including elimination and collection of organized data) and drawing conclusions. The use of higherlevel thinking skills (synthesis, analysis, and evaluations) is the overall goal. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: Birthday Paradox
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This Illuminations lesson demonstrates the birthday paradox, using it as a springboard into a unit on probability. Students use the TI83 graphing calculator to run a Monte Carlo simulation with the birthday paradox and engage in a graphical analysis of the birthdayproblem function.
Standard(s): [MA2013] PRE (912) 51: (+) Calculate the expected value of a random variable; interpret it as the mean of the probability distribution. [SMD2]
Subject: Mathematics Title: Birthday Paradox
Description: This Illuminations lesson demonstrates the birthday paradox, using it as a springboard into a unit on probability. Students use the TI83 graphing calculator to run a Monte Carlo simulation with the birthday paradox and engage in a graphical analysis of the birthdayproblem function. Thinkfinity Partner: Illuminations Grade Span: 6,7,8,9,10,11,12
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Title: Stick or Switch?
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This lesson, from Illuminations, presents a version of a classic gameshow scenario. You pick one of three doors in hopes of winning the prize. The host opens one of the two remaining doors, which reveals no prize, and then asks if you wish to stick or switch. Which choice gives you the best chance to win? Students explore different approaches to this problem including guesses, experiments, computer simulations, and theoretical models.
Standard(s): [MA2013] PRE (912) 50: (+) Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions. [SMD1]
Subject: Mathematics Title: Stick or Switch?
Description: This lesson, from Illuminations, presents a version of a classic gameshow scenario. You pick one of three doors in hopes of winning the prize. The host opens one of the two remaining doors, which reveals no prize, and then asks if you wish to stick or switch. Which choice gives you the best chance to win? Students explore different approaches to this problem including guesses, experiments, computer simulations, and theoretical models. Thinkfinity Partner: Illuminations Grade Span: 6,7,8,9,10,11,12
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Title: Sticks and Stones Demo
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This student interactive, from an Illuminations lesson, allows students to generate random throws for the game '' Sticks and Stones.'' In the game, three sticks are tossed and a player moves his or her marker according to how the sticks land.
Standard(s): [MA2013] PRE (912) 50: (+) Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions. [SMD1]
Subject: Mathematics Title: Sticks and Stones Demo
Description: This student interactive, from an Illuminations lesson, allows students to generate random throws for the game '' Sticks and Stones.'' In the game, three sticks are tossed and a player moves his or her marker according to how the sticks land. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: Sticks and Stones
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In this Illuminations lesson, students play Sticks and Stones, a game based on the Apache game Throw Sticks, which was played at multination celebrations. Students collect data, investigate the likelihood of various moves, and use basic ideas of expected value to determine the average number of turns needed to win a game.
Standard(s): [MA2013] PRE (912) 50: (+) Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions. [SMD1]
Subject: Mathematics Title: Sticks and Stones
Description: In this Illuminations lesson, students play Sticks and Stones, a game based on the Apache game Throw Sticks, which was played at multination celebrations. Students collect data, investigate the likelihood of various moves, and use basic ideas of expected value to determine the average number of turns needed to win a game. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: Road Trip!
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In this Illuminations lesson, students investigate the famous Traveling Salesman Problem by considering the shortest route between five northeastern cities. Three different algorithms for finding the shortest route are explored, and students are encouraged to look for others.
Standard(s): [MA2013] ALT (912) 22: Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. [ACED3]
Subject: Mathematics Title: Road Trip!
Description: In this Illuminations lesson, students investigate the famous Traveling Salesman Problem by considering the shortest route between five northeastern cities. Three different algorithms for finding the shortest route are explored, and students are encouraged to look for others. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Vigenere Cipher
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In this lesson, one of a multipart unit from Illuminations, students learn about the polyalphabetic Vigenere cipher. They encode and decode text using inverse operations.
Standard(s): [MA2013] AL1 (912) 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [FBF2]
Subject: Mathematics Title: Vigenere Cipher
Description: In this lesson, one of a multipart unit from Illuminations, students learn about the polyalphabetic Vigenere cipher. They encode and decode text using inverse operations. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Vigenere Grid
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This reproducible transparency, from an Illuminations lesson, depicts a Vigenere Grid, which is used for encoding a message using a polyalphabetic cipher.
Standard(s): [MA2013] AL1 (912) 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [FBF2]
Subject: Mathematics Title: Vigenere Grid
Description: This reproducible transparency, from an Illuminations lesson, depicts a Vigenere Grid, which is used for encoding a message using a polyalphabetic cipher. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12

