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Worksheet
Curated OER

Worksheet 5 Math 126-Hyperbolas

For Students 12th - Higher Ed
In this Pre-calculus worksheet, students solve problems involving hyperbolas. The two page worksheet contains explanation and four multi-part questions. Answers are not included.    
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Lesson Plan
Curated OER

Faster speed-Shorter Time

For Teachers 9th - 11th
Students calculate the inverse variation, and speed given the formulas. In this algebra lesson, students investigate properties of conics, focusing on the hyperbola. They identify the distance between the directrix and other parts of the...
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Worksheet
Curated OER

Conic Sections

For Students 11th
In this Algebra II worksheet, 11th graders solve problems involving ellipses, parabolas, circles, and hyperbolas.  The one page worksheet contains nineteen problems.  Answers are included. 
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Worksheet
Curated OER

Hyperbolas

For Students 8th - 11th
For this algebra worksheet, students identify the graphs of hyperbolas. They find the center and directrix. There are 10 questions.
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Lesson Plan
Curated OER

Conic Sections and Locii

For Teachers 9th - 11th
Students differentiate between ellipse and hyperbola. In this algebra lesson, students graph and solve elliptical equations. They use the cabri program to create the different conics and move them around.
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Worksheet
Curated OER

Graphs and Equations of Conic Sections Practice Test

For Students 10th - 12th
In this conic section worksheet, learners complete a thirty-one question practice test containing matching and problem solving conic equation and conic graph problems.  The solutions are provided.
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Worksheet
Curated OER

Conics and Graphing

For Students 11th - 12th
In this algebra worksheet, students solve equations by graphing an ellipse, circle and hyperbola. They match equations to graphs and define each type of function. There are 20 questions total.
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Worksheet
Curated OER

Hyperbolas from Circles

For Students 10th
Tenth graders study the concepts of hyperbolas from circles. In this hyperbola lesson, 10th graders identify the points where the circles cross each other on the illustration shown. Students mark all the points where the differences of...
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Worksheet
Curated OER

Applications of Hyperbolas

For Students 10th
In this hyperbola activity, 10th graders solve and complete 6 different problems. First, they determine the cross-section of a hyperbolic paraboloid curve. Then, students find where the cone intersects the ground in hyperbola as...
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Worksheet
Curated OER

Graphing Hyperbolas

For Students 11th
In this graphing hyperbolas worksheet, 11th graders solve and complete 10 various types of problems. First, they sketch each graph given the equation. Then, students determine which of the graphs shown is the equation.
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Worksheet
Curated OER

Topic 7.5 - Hyperbolas

For Students 8th - 10th
In this hyperbola instructional activity, learners analyze 2 graphs of hyperbolas and write the equation for each. They then answer 5 questions in which they analyze an equation and write the coordinates of the vertices, coordinates of...
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Worksheet
Curated OER

Conic Sections

For Students 11th - 12th
In this conic sections worksheet, students solve and complete 8 different problems identifying various types of conic sections. First, they write each equation given in standard form. Then, students determine whether the graph of each of...
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Worksheet
Curated OER

Hyperbolas

For Students 10th
In this hyperbolas worksheet, 10th graders solve 10 different problems that include various forms of hyperbolas. First, they write the equation for each given hyperbola using standard form. Then, students determine whether the hyperbolas...
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Worksheet
Curated OER

Hyperbolas

For Students 10th - 12th
In this hyperbola worksheet, students explore given hyperbola equations and identify the foci and vertices of the hyperbola. This one-page worksheet contains ten problems.
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Lesson Plan
Curated OER

Hyperbolas

For Teachers 11th - 12th
Students analyze given hyperbolas and write the equation for an hyperbola given certain information. They also identify and define hyperbolas and complete an activity using the hyperbola paper included in the lesson plan which will help...
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Lesson Plan
Curated OER

Translation and Rotation of Axes

For Teachers 11th - 12th
Students rotate axes to eliminate the xy-term and illustrate the dissectible cone as needed. They also discuss the discriminant for the second degree equation in two variables, as well as the translation of axes and rotation of axes....
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Lesson Plan
Curated OER

Confocal Conics

For Teachers 11th - 12th
Students describe conic sections from an equation or graph. They examine a family of conics that share a vertex, describe their relationship and write an equation. Students interpret the relationship between conic sections and write...
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Handout
Other

Platonic Realms: Function

For Students 9th - 10th Standards
Resource provides an introduction to conics. A picture of each conic, the definition, and a brief discussion about the standard form of conic equations are given, along with encouragement to master conics.
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Unit Plan
California State University

Cal State, San Bernadino: Hyperbolas

For Students 9th - 10th Standards
An excellent site describing the equations for hyperbolas, including graphs of hyperbolic functions and multiple exercises for practice.
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Handout
University of St. Andrews (UK)

University of St. Andrews: Francois Viete

For Students 9th - 10th
The University of St. Andrews offers this iography of Francois Viete. Many links are provided for more information.
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Handout
University of St. Andrews (UK)

University of St. Andrews: Biography of Menaechmus

For Students 9th - 10th
This University of St. Andrews site contains biographical information on the mathematician Menaechmus.
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Activity
Shodor Education Foundation

Shodor Interactivate: Conic Flyer

For Students 9th - 10th
"This applet allows the user to create graphs of conic sections. Using slider bars, one can manipulate the function to change the constant values and view the effects of those changes."
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Activity
University of Georgia

University of Georgia: Hyperbolas

For Students 9th - 10th Standards
A four-lesson tutorial on hyperbolas, the standard form for hyperbolic functions, and how to graph them. Includes a lesson quiz.
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Activity
Texas Instruments

Texas Instruments: Conics

For Teachers 9th - 10th Standards
Three Learning Check documents on the various characteristics of parabolas, circles, ellipses, and hyperbolas.