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 Lesson Plans (9) Podcasts (1) Interactives/Games (1) Learning Activities (3)

## Thinkfinity Lesson Plans

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Subject: Mathematics,Science
Title: Graphical Analysis
Description: In this lesson, one of a multi-part unit from Illuminations, students use iteration, recursion, and algebra to model and analyze a changing fish population. Students examine a graph of the data then use an interactive graphing tool to investigate three different situations.
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Description: This Illuminations lesson demonstrates the birthday paradox, using it as a springboard into a unit on probability. Students use the TI-83 graphing calculator to run a Monte Carlo simulation with the birthday paradox and engage in a graphical analysis of the birthday-problem function.
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Title: Stick or Switch?
Description: This lesson, from Illuminations, presents a version of a classic game-show 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

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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

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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 multi-nation 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

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Subject: Mathematics, Physical Education
Title: Sports Rankings
Description: In this Science Update, from Science NetLinks, you'll hear how mathematicians at the Rochester Institute of Technology are suggesting changes to the ranking systems in sports. Project leader Darren Narayan says the goal is to factor in head-to-head competition. Science Updates are audio interviews with scientists and are accompanied by a set of questions as well as links to related Science NetLinks lessons and other related resources.

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Subject: Mathematics,Science
Title: Whelk-Come to Mathematics
Description: In this four-lesson unit, from Illuminations, students make a conjecture, conduct an experiment, analyze data and work to a conclusion using rational functions to investigate the behavior of Northwestern Crows. Sea gulls and crows feed on various types of mollusks by lifting them into the air and dropping them onto a rock to break open their shells. Biologists have observed that northwestern crows consistently drop a type of mollusk called a whelk from a mean height of about 5 meters. Students investigate the relationship between the height of the drop and the number of drops.
Thinkfinity Partner: Illuminations

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Subject: Mathematics,Science
Title: Northwestern Crows
Description: In this lesson, one of a multi-part unit from Illuminations, students use rational functions to investigate the feeding behavior of Northwestern Crows. Biologists have observed that northwestern crows consistently drop a type of mollusk called a whelk from a mean height of about 5 meters. Students investigate the relationship between the height of the drop and the number of drops by viewing a video clip; then, they plan a classroom experiment to model the dropping of whelks in order to collect and analyze data.
Thinkfinity Partner: Illuminations

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Subject: Mathematics,Science
Title: Conduct an Experiment
Description: In this lesson, one of a multi-part unit from Illuminations, students use rational functions to investigate the feeding behavior of Northwestern Crows. Biologists have observed that northwestern crows consistently drop a type of mollusk called a whelk from a mean height of about 5 meters. Students investigate whether the crows minimize their work by dropping whelks as they do. The amount of work depends upon the height of the drop and the number of times the crow has to fly to this height. To answer the question, students explore the relationship between the height of the drop and the number of drops needed.
Thinkfinity Partner: Illuminations

## Thinkfinity Podcasts

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Subject: Mathematics, Physical Education
Title: Sports Rankings
Description: In this Science Update, from Science NetLinks, you'll hear how mathematicians at the Rochester Institute of Technology are suggesting changes to the ranking systems in sports. Project leader Darren Narayan says the goal is to factor in head-to-head competition. Science Updates are audio interviews with scientists and are accompanied by a set of questions as well as links to related Science NetLinks lessons and other related resources.

## Web Resources

### Interactives/Games

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Online Algebra Problem Solver
http://www.algebra-o...
Online Algebra Solver allows students to create equations related to a variety of areas of math and solve them online.

### Learning Activities

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Relations and Functions Puzzle
http://mathbits.com/...
An "Ah-Bach" style worksheet/puzzle dealing with evaluating functions and matching equations and graphs. Question solutions yield the needed letters to decipher a message.

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Online Algebra Problem Solver
http://www.algebra-o...
Online Algebra Solver allows students to create equations related to a variety of areas of math and solve them online.

## Thinkfinity Learning Activities

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Subject: Mathematics