ALEX Lesson Plans
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Title: "Woody Sine"
Description:
The students will discover the shape of the sine function without creating a tchart. The students will create a sine function using toothpicks. The students will then discover how the amplitude (height) and the period (number of compete waves) change when the basic graph created from the broken tooth picks was changed. 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] PRE (912) 30: (+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions. [FTF4]
Subject: Mathematics (9  12)
Title: "Woody Sine"
Description: The students will discover the shape of the sine function without creating a tchart. The students will create a sine function using toothpicks. The students will then discover how the amplitude (height) and the period (number of compete waves) change when the basic graph created from the broken tooth picks was changed. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine
Description:
After interacting with a list of specified websites, students will explain the effects of various coefficients on the graphs of sine and cosine by describing these effects on a lab activity worksheet with an accuracy of 80%.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] PRE (912) 29: (+) Use special triangles to determine geometrically the values of sine, cosine, and tangent for ^{π}/_{3}, ^{π}/_{4}, and ^{π}/_{6}, and use the unit circle to express the values of sine, cosine, and tangent for π  x,
π + x, and 2π  x in terms of their values for x, where x is any real number. [FTF3]
Subject: Mathematics (9  12), or Technology Education (9  12)
Title: Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine
Description: After interacting with a list of specified websites, students will explain the effects of various coefficients on the graphs of sine and cosine by describing these effects on a lab activity worksheet with an accuracy of 80%.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Thinkfinity Lesson Plans
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Title: Do You Hear What I Hear?
Description:
In this lesson, from Illuminations, students explore the dynamics of a sound wave. Students use an interactive Java applet to view the effects of changing the initial string displacement and the initial tension.
Standard(s): [MA2013] PRE (912) 26: Determine the amplitude, period, phase shift, domain, and range of trigonometric functions and their inverses. (Alabama)
Subject: Mathematics,Science Title: Do You Hear What I Hear?
Description: In this lesson, from Illuminations, students explore the dynamics of a sound wave. Students use an interactive Java applet to view the effects of changing the initial string displacement and the initial tension. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Web Resources
Lesson Plans
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Title: Graphs From the Unit Circle
Description:
In this lesson, students use uncooked spaghetti to transfer lengths from the unit circle to a function graph on large butcher paper. In the process, they discover the key features of sine and cosine graphs. The activity is presented for students working in degrees, but another version of the handouts is provided for students working in radians.
Standard(s): [MA2013] PRE (912) 26: Determine the amplitude, period, phase shift, domain, and range of trigonometric functions and their inverses. (Alabama)
Graphs From the Unit Circle
http://illuminations...
In this lesson, students use uncooked spaghetti to transfer lengths from the unit circle to a function graph on large butcher paper. In the process, they discover the key features of sine and cosine graphs. The activity is presented for students working in degrees, but another version of the handouts is provided for students working in radians.
Assessments
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Title: Prerequsites for Calculus Quiz
Description:
Students will take this selfassessment to make sure they are prepared to take Calculus.
Standard(s): [MA2013] PRE (912) 12: Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems.* (Extend to infinite geometric series.) [ASSE4] (Alabama)
Prerequsites for Calculus Quiz
http://www.phschool....
Students will take this selfassessment to make sure they are prepared to take Calculus.
Interactives/Games
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Title: Sine Function (with Unit Circle)
Description:
This is an interactive model of the graph of a sine wave in the form y=sin(b). There is a slider that allows the value of "b" (in radian measure) to be changed. The unit circle is shown simultaneously with the graph of the sine function.
Standard(s): [MA2013] PRE (912) 26: Determine the amplitude, period, phase shift, domain, and range of trigonometric functions and their inverses. (Alabama)
Sine Function (with Unit Circle)
http://www.desmos.co...
This is an interactive model of the graph of a sine wave in the form y=sin(b). There is a slider that allows the value of "b" (in radian measure) to be changed. The unit circle is shown simultaneously with the graph of the sine function.
Thinkfinity Learning Activities
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Title: Sound Wave
Description:
This student interactive, from Illuminations, helps students understand the mathematical models used to represent sound. Students come to understand the origins of the terms pitch, tone, frequency, and intensity, as well as explore the dynamics of a sound wave.
Standard(s): [MA2013] PRE (912) 26: Determine the amplitude, period, phase shift, domain, and range of trigonometric functions and their inverses. (Alabama)
Subject: Mathematics,Science Title: Sound Wave
Description: This student interactive, from Illuminations, helps students understand the mathematical models used to represent sound. Students come to understand the origins of the terms pitch, tone, frequency, and intensity, as well as explore the dynamics of a sound wave. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Trigonometric Graphing
Description:
This student interactive from Illuminations allows students to graph trigonometric functions. Parameters that affect the amplitude, period, and phase shift of the function can be manipulated.
Standard(s): [MA2013] PRE (912) 26: Determine the amplitude, period, phase shift, domain, and range of trigonometric functions and their inverses. (Alabama)
Subject: Mathematics Title: Trigonometric Graphing
Description: This student interactive from Illuminations allows students to graph trigonometric functions. Parameters that affect the amplitude, period, and phase shift of the function can be manipulated. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12

