**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 (9-12) 15: Create graphs of conic sections, including parabolas, hyperbolas, ellipses, circles, and degenerate conics, from second-degree 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.

**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 (9-12) 15: Create graphs of conic sections, including parabolas, hyperbolas, ellipses, circles, and degenerate conics, from second-degree 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.

**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 (9-12) 15: Create graphs of conic sections, including parabolas, hyperbolas, ellipses, circles, and degenerate conics, from second-degree 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.

**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 (9-12) 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. [G-GPE1]

**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.

**Title:** Analyze the Data

**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. 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 (9-12) 18: c. (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior. [F-IF7d]

**Subject:**Mathematics,Science

**Title:**Analyze the Data

**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. 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