Thinkfinity Lesson Plans
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Title: Graphical Analysis
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In this lesson, one of a multipart 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.
Standard(s): [MA2013] PRE (912) 48: Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant. [SIC5]
Subject: Mathematics,Science Title: Graphical Analysis
Description: In this lesson, one of a multipart 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 Grade Span: 9,10,11,12
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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: Sports Rankings
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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 headtohead 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.
Standard(s): [MA2013] PRE (912) 49: Evaluate reports based on data. [SIC6]
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 headtohead 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. Thinkfinity Partner: Science NetLinks Grade Span: 6,7,8,9,10,11,12
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Title: WhelkCome to Mathematics
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In this fourlesson 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.
Standard(s): [MA2013] AM1 (912) 12: Calculate the limit of a sequence, of a function, and of an infinite series. (Alabama)
Subject: Mathematics,Science Title: WhelkCome to Mathematics
Description: In this fourlesson 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 Grade Span: 9,10,11,12
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Title: Northwestern Crows
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In this lesson, one of a multipart 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.
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,Science Title: Northwestern Crows
Description: In this lesson, one of a multipart 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 Grade Span: 9,10,11,12
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Title: Conduct an Experiment
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In this lesson, one of a multipart 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.
Standard(s): [MA2013] AM1 (912) 12: Calculate the limit of a sequence, of a function, and of an infinite series. (Alabama)
Subject: Mathematics,Science Title: Conduct an Experiment
Description: In this lesson, one of a multipart 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 Grade Span: 9,10,11,12
Thinkfinity Podcasts
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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 headtohead 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.
Standard(s): [MA2013] PRE (912) 49: Evaluate reports based on data. [SIC6]
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 headtohead 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. Thinkfinity Partner: Science NetLinks Grade Span: 6,7,8,9,10,11,12
Web Resources
Interactives/Games
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Title: Online Algebra Problem Solver
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Online Algebra Solver allows students to create equations related to a variety of areas of math and solve them online.
Standard(s): [MA2013] ALT (912) 9: (+) Add, subtract, and multiply matrices of appropriate dimensions. [NVM8]
Online Algebra Problem Solver
http://www.algebrao...
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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Title: Relations and Functions Puzzle
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An "AhBach" style worksheet/puzzle dealing with evaluating functions and matching equations and graphs. Question solutions yield the needed letters to decipher a message.
Standard(s): [MA2013] ALT (912) 33: Write a function that describes a relationship between two quantities.* [FBF1]
Relations and Functions Puzzle
http://mathbits.com/...
An "AhBach" 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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Title: Online Algebra Problem Solver
Description:
Online Algebra Solver allows students to create equations related to a variety of areas of math and solve them online.
Standard(s): [MA2013] ALT (912) 9: (+) Add, subtract, and multiply matrices of appropriate dimensions. [NVM8]
Online Algebra Problem Solver
http://www.algebrao...
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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Title: Adjustable Spinner
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This student interactive, from Illuminations, allows students to create their own spinners and examine the outcomes given a specified number of spins. Students learn that experimental probabilities differ according to the characteristics of the model.
Standard(s): [MA2013] ALT (912) 41: (+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). [SMD6]
Subject: Mathematics Title: Adjustable Spinner
Description: This student interactive, from Illuminations, allows students to create their own spinners and examine the outcomes given a specified number of spins. Students learn that experimental probabilities differ according to the characteristics of the model. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2,3,4,5,6,7,8,9,10,11,12

