ALEX Lesson Plans
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Title: Conic Sections: Discovering the Degenerates
Description:
Through a mixture of online exploration, and teacher instruction, students will discover how the degenerate forms of the conic sections are formed and will be able to identify the degenerate case of each conic section.
Standard(s): [MA2015] PRE (912) 15: Create graphs of conic sections, including parabolas, hyperbolas, ellipses, circles, and degenerate conics, from seconddegree equations. (Alabama)
Subject: Mathematics (9  12)
Title: Conic Sections: Discovering the Degenerates
Description: Through a mixture of online exploration, and teacher instruction, students will discover how the degenerate forms of the conic sections are formed and will be able to identify the degenerate case of each conic section.
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Title: Conic Sections: Playing With Parabolas
Description:
Through a mixture of online exploration, and teacher instruction, students will discover how parabolas are formed and will be able to use the key components from a graph (vertex, focus and directrix,) to generate the equation of a graph.
Standard(s): [MA2015] PRE (912) 15: Create graphs of conic sections, including parabolas, hyperbolas, ellipses, circles, and degenerate conics, from seconddegree equations. (Alabama)
Subject: Mathematics (9  12)
Title: Conic Sections: Playing With Parabolas
Description: Through a mixture of online exploration, and teacher instruction, students will discover how parabolas are formed and will be able to use the key components from a graph (vertex, focus and directrix,) to generate the equation of a graph.
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Title: Conic Sections: Playing with Hyperbolas
Description:
Through a mixture of online exploration, and teacher instruction, students will discover how Hyberbolas are formed and will be able to use the key components (center, vertices and the asymptotes) to generate the equation of a graph.
Standard(s): [MA2015] PRE (912) 15: Create graphs of conic sections, including parabolas, hyperbolas, ellipses, circles, and degenerate conics, from seconddegree equations. (Alabama)
Subject: Mathematics (9  12)
Title: Conic Sections: Playing with Hyperbolas
Description: Through a mixture of online exploration, and teacher instruction, students will discover how Hyberbolas are formed and will be able to use the key components (center, vertices and the asymptotes) to generate the equation of a graph.
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Title: Graphing at all levels: It’s a beautiful thing!
Description:
This lesson addresses the societal issue of the arts being eliminated in many public schools be employing graphs (at any level) as an artistic media. Review of all types of graphs is included through various interactive websites.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): [MA2015] PRE (912) 15: Create graphs of conic sections, including parabolas, hyperbolas, ellipses, circles, and degenerate conics, from seconddegree equations. (Alabama)
Subject: Arts Education (7  12), or Mathematics (9  12)
Title: Graphing at all levels: It’s a beautiful thing!
Description: This lesson addresses the societal issue of the arts being eliminated in many public schools be employing graphs (at any level) as an artistic media. Review of all types of graphs is included through various interactive websites.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: Ellipse
Description:
This lesson is designed for an Algebra II through PreCalculus classes and introduces the conic section an ellipse. In this lesson students explore an ellipse, the set of points in a plane such that the sum of the distances from each point to two fixed points is constant. The students will investigate the construction of an ellipse and be able to recognize its major axis, semimajor axis and focal points and to be able to compute its eccentricity. 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): [MA2015] PRE (912) 37: (+) Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant. [GGPE3]
Subject: Mathematics (9  12), or Science (9  12)
Title: Ellipse
Description: This lesson is designed for an Algebra II through PreCalculus classes and introduces the conic section an ellipse. In this lesson students explore an ellipse, the set of points in a plane such that the sum of the distances from each point to two fixed points is constant. The students will investigate the construction of an ellipse and be able to recognize its major axis, semimajor axis and focal points and to be able to compute its eccentricity. 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: Going the Distance for Circles
Description:
This lesson is designed for an Advanced Mathematics class and introduces the first conic section  a circle. The definition and important information related to circles is presented in a multimedia presentation. Students are then required to document what they have learned in a brochure.
Standard(s): [MA2015] 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]
Subject: Mathematics (9  12), or Technology Education (9  12)
Title: Going the Distance for Circles
Description: This lesson is designed for an Advanced Mathematics class and introduces the first conic section  a circle. The definition and important information related to circles is presented in a multimedia presentation. Students are then required to document what they have learned in a brochure.
Thinkfinity Lesson Plans
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Title: Analyze the Data
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. By analyzing a data set, students investigate and create a model for the relationship between the height of the drop and the number of drops.
Standard(s): [MA2015] PRE (912) 18: c. (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior. [FIF7d]
Subject: Mathematics,Science Title: Analyze the Data
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. By analyzing a data set, students investigate and create a model for the relationship between the height of the drop and the number of drops. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12

