{"results":"
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\n\n38\nItems in Topic\n\n
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\n\"AP\n\n
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\nLesson Planet Curated\n
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\nAP Calculus AB\n

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\n\nFor Students\n\n11th - 12th\n
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\nPrepare high school mathematicians for the AP Calculus AB exam with a collection of 38 videos that can be used to introduce the topics or as a review. The videos focus on two processes; differentiating a function and integrating a...\n
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\n\n29\nItems in Topic\n\n
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\n\"Krista\n\n
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\nLesson Planet Curated\n
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\nKrista King Math: Pre-Calculus\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nA precalculus playlist of 29-videos demonstrates the processes and includes step-by-step explanations of functions. The collection includes inverse trig functions, polar coordinates, graphing polar curves, parametric curves, analytic...\n
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\n\nGet Free Access\n
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Instructional Video11:34
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\n\"Identifying\n\n
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\nKhan Academy\n
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\nIdentifying Circles and Parabolas from Equations, Conic Sections, Algebra II\n

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\n\nFor Students\n\n10th - 12th\n
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\nThis is the last of three well-done videos on identifying and graphing conic sections from an equation. Here, Sal graphs a circle that is not centered at the origin and a parabola that opens downward.\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video10:58
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1
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\n\"Introduction\n\n
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\nKhan Academy\n
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\nIntroduction to Conic Sections, Conic Sections, Algebra II\n

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\n\nFor Students\n\n10th - 12th\n
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\nHere, parabolas, circles, ellipses, and hyperbolas are introduced by showing a general graph of each. By showing the intersection of a plane and a cone to create the different conic sections, one can see how these curves are related.\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video9:11
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\n\"Identifying\n\n
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\nKhan Academy\n
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\nIdentifying an Ellipse from Equation, Conic Sections, Algebra II\n

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\n\nFor Students\n\n10th - 12th\n
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\nAfter watching this video, you should be able to write an equation of a conic section in standard form and identify the conic section from its equation. In an example problem, Sal reviews how to complete the square and graph an ellipse...\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video11:34
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\n\"Identifying\n\n
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\nKhan Academy\n
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\nIdentifying Circles and Parabolas from Equations, Conic Sections, Algebra II\n

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\n\nFor Students\n\n10th - 12th\n
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\nThis is the last of three well-done videos on identifying and graphing conic sections from an equation. Here, Sal shows how to graph a circle not centered at the origin and a parabola that opens downward.\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video9:11
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1
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\n\"Identifying\n\n
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\nKhan Academy\n
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\nIdentifying an Ellipse From Equation, Conic Sections, Algebra II\n

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\n\nFor Students\n\n10th - 12th\n
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\nAfter watching this video, you should be able to write an equation for a conic section in standard form and identify the conic section from its equation. In an example problem, Sal reviews how to complete the square and graph an ellipse...\n
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\n\nGet Free Access\n\nSee Review\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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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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Instructional Video15:24
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\n\"Foci\n\n
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\nKhan Academy\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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\n\nGet Free Access\n\nSee Review\n
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Instructional Video9:04
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1
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\n\"Conic\n\n
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\nCurated OER\n
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\nConic Sections: Intro to Circles\n

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\n\nFor Students\n\n10th - 12th\n
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\nThe equation of a circle is explored in this video by looking first at the equation of a circle with the center at the origin; then building upon that, equations of circles that are shifted off the origin.\n
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\n\nGet Free Access\n\nSee Review\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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\n\nGet Free Access\n\nSee Review\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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\n\nGet Free Access\n\nSee Review\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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\n\nGet Free Access\n\nSee Review\n
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Instructional Video9:04
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\n\"Conic\n\n
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\nKhan Academy\n
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\nConic Sections: Intro to Circles\n

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\n\nFor Students\n\n10th - 12th\n
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\nThis video explores the equation of a circle by first looking at the equation of a circle with the center at the origin and then building upon that, equations of circles that are shifted off the origin.\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video13:49
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\n\"Foci\n\n
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\nKhan Academy\n
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\nFoci of an Ellipse, Conic Sections, Algebra II\n

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\n\nFor Students\n\n10th - 12th\n
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\nThe foci of an ellipse are explored in this video. First, foci are shown as the two points on the central axis such that the sum of the distance from a point on the ellipse and the foci points is the same as the distance from any point...\n
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\n\nGet Free Access\n\nSee Review\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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\n\nGet Free Access\n\nSee Review\n
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Instructional Video13:49
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\n\"Foci\n\n
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\nKhan Academy\n
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\nFoci of an Ellipse, Conic Sections, Algebra II\n

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\n\nFor Students\n\n10th - 12th\n
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\nThe foci of an ellipse are explored in this video. First, foci are shown as the two points on the central axis such that the sum of the distance from a point on the ellipse and the foci points is the same as the distance from any point...\n
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\n\nGet Free Access\n\nSee Review\n
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Worksheet
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\n\"Classifying\n\n
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\nCurated OER\n
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\nClassifying Conic Sections\n

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\n\nFor Students\n\n10th - 11th\n
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\nIn this conic section worksheet, students classify 8 conic sections. They write the standard form of 8 conic sections. Students sketch the graph of six shapes. For the graphs, students are directed to find either vertex and focus, or...\n
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\n\nGet Free Access\n\nSee Review\n
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Worksheet
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\n\"Eccentricity\n\n
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\nCurated OER\n
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\nEccentricity of Conic Sections\n

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\n\nFor Students\n\n11th\n
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\nIn this conic sections worksheet, 11th graders solve and complete 26 various types of problems. First, they identify the eccentricity of each equation shown. Then, students use the information provided to write the standard form equation...\n
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\n\nGet Free Access\n\nSee Review\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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\n\nGet Free Access\n\nSee Review\n
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Instructional Video12:52
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\n\"Parametric\n\n
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\nKhan Academy\n
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\nParametric Equations 3, Parametric Equations and Polar Coordinates, Precalculus\n

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\n\nFor Students\n\n10th - 12th\n
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\nFollowing his intuitive manner, Sal considers another set of parametric equations. This time, he looks at two equations using trigonometric functions and, using one of the basic trigonometric identities, removes the parameter from the...\n
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\n\nGet Free Access\n\nSee Review\n
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Worksheet
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\n\"Conic\n\n
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\nCurated OER\n
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\nConic Sections\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this conic sections activity, students solve and complete 17 various types of problems. First, they write the conics in standard form and graph. Then, students determine the equation that best represents each description that includes...\n
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\n\nGet Free Access\n\nSee Review\n
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Lesson Plan
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\n\"Conics\n\n
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\nWest Contra Costa Unified School District\n
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\nConics Introduction and Parabolas\n

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\n\nFor Teachers\n\n10th - 12th\n\nStandards\n
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\nWhere did conic sections get their name? The equation and graph of a parabola are developed from the definition of the conic section. Teacher examples on graphing the equation and writing an equation from the graph round out the plan.\n
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\n\nGet Free Access\n\nSee Review\n
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