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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\"Bouncing\n\n
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\nCurated OER\n
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\nBouncing Ball\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nStudents collect height versus time data of a bouncing ball using the CBR 2™ data collection device. Using a quadratic equation they graph scatter plots, graph and interpret a quadratic function, apply the vertex form of a quadratic...\n
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\n\"Forms\n\n
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\nCurated OER\n
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\nForms of Quadratic Equations\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nTransformations of parabolas to fit a particular quadratic equation is taught through this lesson.  For this transforming parabolas to fit a particular quadratic equation lesson, students describe the transformations of the parabola...\n
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\n\"Dilations\n\n
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\nCurated OER\n
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\nDilations with Matrices\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nExamine dilation with matrices with your class. Learners write a conjecture for how the scale factor determines the size of an image. They then use their conjecture to write a matrix multiplication problem for the illustrated...\n
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\n\"Properties\n\n
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\nTexas Instruments\n
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\nProperties of Parabolas\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nExplore the properties of parabolas in this lesson. Construct a parabola given a focus and a directrix on the Ti-Nspire. Write equations of parabolas in vertex form and determine the a value of a parabola given a focus and directrix.\n
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\n\"Stretching\n\n
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\nCurated OER\n
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\nStretching the Quads\n

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\n\nFor Teachers\n\n8th - 12th\n\nStandards\n
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\nExplore parabolas in this algebra lesson with the graphing calculator. The class investigates what effects the changing of the parameters of the vertex form of a quadrati have to its graph. They find the zeros of a quadratic graphically...\n
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Instructional Video3:50
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\n\"What\n\n
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\nCurated OER\n
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\nWhat is a Point?\n

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\n\nFor Teachers\n\n6th - 10th\n
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\nA point is an exact location in space. This tutorial defines the concept of a point as it occurs in graphing, geometry, and algebra. A variety of examples are used to show how important points are and where they'll be seen in the world...\n
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Assessment
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\n\"End-of-Module\n\n
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\nEngageNY\n
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\nEnd-of-Module Assessment Task - Algebra 2 (Module 1)\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nA series of assessment tasks require learners to process information and communicate solutions. Topics include graphing parabolas, solving linear-quadratic systems, factoring polynomials, and solving polynomial equations. \n
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Assessment
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\n\"Mid-Module\n\n
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\nEngageNY\n
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\nMid-Module Assessment Task - Algebra 1 (module 4)\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nPerformance task questions are the most difficult to write. Use this assessment so you don't have to! These questions assess factoring quadratics, modeling with quadratics, and key features of quadratic graphs. All questions require...\n
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Instructional Video5:46
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\n\"How\n\n
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\nCurated OER\n
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\nHow Do You Graph a Quadratic Function?\n

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\n\nFor Teachers\n\n8th - 11th\n
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\nWhat things need to be done to graph a quadratic function? Well, first, find the axis of symmetry, then find the vertex of the parabola, then create a table and plug in some x-values to get the resulting y-values. Now write the values as...\n
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Instructional Video6:38
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\n\"How\n\n
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\nHow Do You Graph a Quadratic Equation in Intercept Form?\n

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\n\nFor Teachers\n\n8th - 11th\n
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\nWatch this video and find out how to graph a quadratic equation when it's in intercept form! After going through the different forms of quadratic equations, an instructor leads viewers through an example problem. For the example problem,...\n
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Instructional Video6:19
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\n\"How\n\n
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\nCurated OER\n
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\nHow Do You Make a Table for a Quadratic Function?\n

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\n\nFor Teachers\n\n8th - 11th\n
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\nMaking a table for a quadratic function is not so complicated. Here are a few tricks to make it easier. One trick is to find the axis of symmetry and another is to find the vertex. These two values can be used to pick values to plug in...\n
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Instructional Video7:08
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\n\"How\n\n
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\nCurated OER\n
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\nHow Do You Solve a Quadratic Equation with Two Solutions by Graphing?\n

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\n\nFor Teachers\n\n8th - 11th\n
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\nThere are many ways to solve a quadratic equation. Let's check out how to solve a quadratic equation by graphing. But first, let's find the axis of symmetry and the vertex before making a table of values. Write the values as ordered...\n
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Lesson Plan
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\n\"Quadratic\n\n
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\nCurated OER\n
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\nQuadratic Equations and Functions\n

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\n\nFor Teachers\n\n8th - 11th\n
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\nThis comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree.  Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few...\n
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Activity
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\n\"Triangle\n\n
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\n5280 Math\n
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\nTriangle Area Patterns\n

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\n\nFor Teachers\n\n8th - 10th\n\nStandards\n
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\nCombine algebraic and geometric strategies to find solutions. The task asks learners to find the coordinates of a third vertex of a triangle to create a triangle with a specific area. The project is a set of seven problems that...\n
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Assessment
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\n\"Building\n\n
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\nIllustrative Mathematics\n
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\nBuilding an Explicit Quadratic Function by Composition\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nUse equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the...\n
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\n\"The\n\n
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\nEngageNY\n
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\nThe Definition of a Parabola\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nPut together the pieces and model a parabola. Learners work through several examples to develop an understanding of a parabola graphically and algebraically. \n
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\n\"Transformations\n\n
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\nEngageNY\n
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\nTransformations of the Quadratic Parent Function\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nEfficiently graph a quadratic function using transformations! Pupils graph quadratic equations by completing the square to determine the transformations. They locate the vertex and determine more points from a stretch or shrink and...\n
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\n\"Parabolas\n\n
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\nParabolas\n

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\n\nFor Teachers\n\n9th - 11th\n
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\nIn this Algebra I/Algebra II worksheet, students determine the vertex and the axis of symmetry of a parabola.  The two page worksheet contains a combination of eleven multiple choice and free response questions.  Answers are...\n
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\n\"Parabolas\n\n
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\nCurated OER\n
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\nParabolas\n

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\n\nFor Teachers\n\n9th - 11th\n
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\nIn this Algebra I/Algebra II worksheet, students identify the vertex and the axis of symmetry of a parabola, given the equation.  The two page worksheet contains a combination of ten multiple choice and free response...\n
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\n\"Graphing\n\n
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\nGraphing Quadratic Functions\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nIn this math worksheet, students write 8 equations of the axis of symmetry and find the coordinates of each quadratic function. Students graph 4 of the equations and state if the vertex is maximum or minimum.\n
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Worksheet
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\n\"Make\n\n
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\nMake Up Test on Solving Quadratics\n

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\n\nFor Students\n\n10th\n
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\nIn this solving quadratics instructional activity, 10th graders write radicals in the simplest form. They solve quadratics by factoring, completing the square, and through the use of the quadratic formula. Students determine the vertex...\n
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\n\"Writing\n\n
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\nCurated OER\n
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\nWriting Equations of Parabolas in Vertex Form\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nPupils use their knowledge of the vertex form of a quadratic equation to graph parabolas using a graphing calculator, given a specific move to make. this lesson may be used as a review or as extra practice, in groups or individually.\n
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\n\"Completing\n\n
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\nCompleting the Square Algebraically\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nUsing TI-Nspire, scholars rewrite quadratic expressions by completing the square. They change the equation into vertex form.  By the end of this lesson, they should be able to change any quadratic equation into vertex form. \n
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