# Hyperbola Teacher Resources

Find Hyperbola lesson plans and worksheets

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#### Foci of a Hyperbola

In this video, Sal defines the vertex and the foci of a hyperbola, and shows how to locate both. By comparing the hyperbola to an ellipse throughout the video, the listener sees the similarities between these two conic sections. This...

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#### Hyperbolas: Sketching from the Equation

In this algebra worksheet, students sketch graphs of hyperbolas after solving equations to standard form and interpreting the center, vertices, foci, axis, asymptotes, and eccentricity from the equation. There are 58 questions.

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#### Proof: Hyperbola Foci

In a video that is quite involved, algebraically, Sal proves that the distance of the foci from the center of a hyperbola is the square root of a2+b2. Since the algebra shown here is challenging, this video might be appropriate as an...

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#### Conic Sections: Intro to Hyperbolas

In this video, Sal starts with the equation of a hyperbola by first comparing it to the equation of the circle, and ellipse. He then shows how to find the equation of the asymptotes by solving for y. He also shows a few intuitive ways to...

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#### Conic Sections: Hyperbolas 2

Here is an example in this video of graphing a hyperbola centered at the origin. First, Sal shows solving for the equations of the asymptotes and then shows how to determine the direction of the hyperbola. He takes the approach of not...

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#### Conic Sections: Hyperbolas 3

Continuing with the study of graphing hyperbolas, Sal shows an example of graphing a parabola that is centered at a point off the origin. By looking at the equation, first without shifting it, he helps listeners develop an intuitive...

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#### Foci of a Hyperbola

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#### Hyperbolas

Hyperbolas—practice thinking outside of the box. Pupils alter the end behavior box to create various graphs of hyperbolas. They determine formulas to find the distance from the origin to the foci. Using that information, scholars...

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#### Hyperbola

In this hyperbola learning exercise, learners solve and complete 33 different problems that include identifying various hyperbolas. First, they graph each hyperbola, stating the center, vertices, co-vertices, foci, asymptotes, and latus...

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#### Writing Equations of Hyperbolas

In this writing equations worksheet, students write the equations of a hyperbola. This four-page worksheet contains 24 problems. Answers are provided on the last two pages.

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#### Hyperbolas

In this hyperbolas worksheet, 11th graders solve and complete 5 different problems. First, they define hyperbolas and draw a picture of one. Then, students find the coordinates of the vertices and the foci and the equation for the...

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#### Graphing and Properties of Hyperbolas

In this graphing and properties learning exercise, students identify the vertices, foci of each hyperbola. They graph hyperbolas. Students identify asymptotes, the length of the transverse axis and the length of the conjugate axis. This...

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#### Worksheet 3 Math 126: Ellipses and Hyperbolas

In this ellipses and hyperbolas activity, high schoolers solve 8 short answer and graphing problems. Students graph ellipses, hyperbolas, and parabolas given an equation. High schoolers identify the foci of an ellipse or hyperbola.

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#### Graphs

In this graphs worksheet, students solve and complete 15 various types of problems. First, they determine the range of the function of the graph shown and write in interval notation. Then, students find the domain of the function in the...

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#### Curves from Geometry

Escape to investigate hyperbolas. Pupils take a look at what happens to the elliptical orbital path of a satellite that exceeds escape velocity as the opener to the eighth instructional activity in a unit of 23. Scholars analyze basic...

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#### Hyperbola

In this Algebra II worksheet, students determine the vertices and foci of a hyperbola, write the equations in standard form, find the asymptotes, and sketch the graphs of hyperbolas. The one page worksheet contains thirty-one problems. ...

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#### Hyperbolas

In this algebra worksheet, students identify the graphs of hyperbolas. They find the center and directrix. There are 10 questions.

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#### Hyperbolas

Students solve equations with hyperbolas. In this algebra lesson plan, students graph hyperbolas and identify their properties. They find the foci and vertices of each hyperbola.

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#### Worksheet 5 Math 126-Hyperbolas

For 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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#### Hyperbolas

In this hyperbolas worksheet, 11th graders solve and complete 13 different types of problems. First, they write an equation for each illustrated hyperbola. Then, students write an equation for the hyperbola that satisfies each set of...

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#### Hyperbolas

In this hyperbola learning exercise, students explore given hyperbola equations and identify the foci and vertices of the hyperbola. This one-page learning exercise contains ten problems.

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#### Applications of Hyperbolas

In this hyperbola worksheet, 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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#### Hyperbolas from Circles

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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#### Topic 7.5 - Hyperbolas

In this hyperbola worksheet, 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 the foci, and...

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