Hyperbola Teacher Resources

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.

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...

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...

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...

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...

Students engage in a lesson that covers the concepts related to the graphing of hyperbolas looking at topics like foci, center, vertices, and asymptotes. They find multiple different points in the coordinate plain and then plot the graph.

Sal defines a hyperbola's vertex and foci in this video 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 approach makes...

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...

In this video, Sal shows again how to write an equation of a conic section in standard form and identify the conic section it represents. This time, his example is of a hyperbola (not centered at the origin), which he also graphs.

In this video, Sal shows again how to write an equation of a conic section in standard form and identify the conic section it represents. This time, his example is of a hyperbola (not centered at the origin), which he also graphs.

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...

In this hyperbola learning exercise, students 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...

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.

In this hyperbolas learning exercise, 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...

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...

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

For 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...

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 lesson in a unit of 23. Scholars analyze basic hyperbolas and how...

In this Algebra II learning exercise, 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 learning exercise contains...

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

In this Pre-calculus instructional activity, students solve problems involving hyperbolas. The two page instructional activity contains explanation and four multi-part questions. Answers are not included.    

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

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...

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...