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Lesson Plan
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\n\"Hyperbolas:\n\n
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\nCurated OER\n
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\nHyperbolas: Sketching from the Equation\n

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\n\nFor Teachers\n\n9th - Higher Ed\n
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\nIn 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.\n
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Instructional Video14:50
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\n\"Proof:\n\n
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\nKhan Academy\n
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\nProof: Hyperbola Foci, Conic Sections, Algebra II\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn 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...\n
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Instructional Video7:30
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\n\"Conic\n\n
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\nCurated OER\n
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\nConic Sections: Hyperbolas 2\n

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\n\nFor Students\n\n10th - 12th\n
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\nHere 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...\n
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Instructional Video10:29
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\n\"Conic\n\n
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\nCurated OER\n
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\nConic Sections: Hyperbolas 3\n

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\n\nFor Students\n\n10th - 12th\n
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\nContinuing 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...\n
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Instructional Video13:34
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\n\"Conic\n\n
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\nCurated OER\n
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\nConic Sections: Intro to Hyperbolas\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn 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...\n
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Lesson Plan
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\n\"Hyperbolas\n\n
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\nCurated OER\n
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\nHyperbolas\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nStudents 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.\n
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Instructional Video15:24
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\n\"Foci\n\n
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\nFoci of a Hyperbola, Conic Sections, Algebra II\n

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\n\nFor Students\n\n10th - 12th\n
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\nSal 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...\n
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Instructional Video15:24
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\n\"Foci\n\n
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\nCurated OER\n
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\nFoci of a Hyperbola\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn 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...\n
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Instructional Video11:28
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\n\"Identifying\n\n
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\nKhan Academy\n
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\nIdentifying a Hyperbola from an Equation, Conic Sections, Algebra II\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn 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.\n
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Instructional Video11:28
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\n\"Identifying\n\n
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\nKhan Academy\n
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\nIdentifying a Hyperbola From an Equation, Conic Sections, Algebra II\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn 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.\n
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\n\nGet Free Access\n\nSee Review\n
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Interactive
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\n\"Hyperbolas\n\n
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\nCK-12 Foundation\n
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\nHyperbolas\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nHyperbolas—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...\n
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Worksheet
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\n\"Hyperbola\n\n
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\nCurated OER\n
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\nHyperbola\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this hyperbola worksheet, 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 rectum....\n
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\n\"Writing\n\n
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\nCurated OER\n
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\nWriting Equations of Hyperbolas\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn this writing equations learning exercise, students write the equations of a hyperbola. This four-page learning exercise contains 24 problems. Answers are provided on the last two pages.\n
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\n\"Hyperbolas\n\n
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\nCurated OER\n
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\nHyperbolas\n

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\n\nFor Students\n\n11th\n
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\nIn 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...\n
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Worksheet
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\n\"Graphing\n\n
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\nCurated OER\n
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\nGraphing and Properties of Hyperbolas\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn this graphing and properties worksheet, 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...\n
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\n\"Worksheet\n\n
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\nWorksheet 3 Math 126: Ellipses and Hyperbolas\n

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\n\nFor Students\n\n9th - 12th\n
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\nIn this ellipses and hyperbolas instructional 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.\n
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\n\"Graphs\n\n
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\nCurated OER\n
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\nGraphs\n

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\n\nFor Students\n\n9th - 11th\n
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\nIn 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...\n
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Lesson Plan
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\n\"Curves\n\n
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\nEngageNY\n
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\nCurves from Geometry\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nEscape 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...\n
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Worksheet
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\n\"Hyperbola\n\n
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\nCurated OER\n
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\nHyperbola\n

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\n\nFor Students\n\n7th - 12th\n
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\nIn 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...\n
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\n\"Hyperbolas\n\n
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\nHyperbolas\n

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\n\nFor Students\n\n8th - 11th\n
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\nIn this algebra instructional activity, students identify the graphs of hyperbolas. They find the center and directrix. There are 10 questions.\n
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Worksheet
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\n\"Worksheet\n\n
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\nWorksheet 5 Math 126-Hyperbolas\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this Pre-calculus worksheet, learners solve problems involving hyperbolas. The two page worksheet contains explanation and four multi-part questions. Answers are not included.\n \n \n
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\n\"Hyperbolas\n\n
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\nHyperbolas\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn this hyperbola worksheet, students explore given hyperbola equations and identify the foci and vertices of the hyperbola. This one-page worksheet contains ten problems.\n
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\n\"Applications\n\n
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\nCurated OER\n
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\nApplications of Hyperbolas\n

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\n\nFor Students\n\n10th\n
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\nIn this hyperbola learning exercise, 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...\n
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\n\"Hyperbolas\n\n
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\nHyperbolas from Circles\n

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\n\nFor Students\n\n10th\n
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\nTenth 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...\n
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