West Contra Costa Unified School District
Conics Introduction and Parabolas
Where 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.
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Hyperbolas
Students investigate hyperbolas by writing equations and answering specific questions. In this calculus lesson, students graph a hyperbola given the center, foci and directrix. They write the equation of the given hyperbola.
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Graphing Conics
Students explore conics using four different graphs. In this calculus lesson plan, students analyze parabola, hyperbolas, circles and ellipses. They find the directrix and discuss how they relate to each type of graph.
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Algebra Cheat Sheet
Full of info, this handout provides the rules, properties, and common mistakes found in an algebra course. This cheat sheet is a great resource for those hard-to-remember exponent rules and hyperbola equations, along with everything else...
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Graphs and Ellipses
Students explore linear graphs, the parabola and the rectangular hyperbola.
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Discovering Conic Sections in the Motion of Heavenly Bodies
Math scholars study conics and how they are used today. In this mathematical lesson, pupils construct and slice cones after viewing a demonstration.
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Hyperbolas
Students find the center, foci, vertices, and asymptotes of hyperbolas. They graph hyperbolas and determine the equation of a hyperbola with a horizontal transverse axis. They derive general coordinates for the foci of a hyperbola with a...
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Conic Sections and Locii
Students differentiate between ellipse and hyperbola. In this algebra instructional activity, students graph and solve elliptical equations. They use the cabri program to create the different conics and move them around.
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Faster speed-Shorter Time
Young scholars calculate the inverse variation, and speed given the formulas. In this algebra lesson, students investigate properties of conics, focusing on the hyperbola. They identify the distance between the directrix and other parts...
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Conic Sections
For this conic sections worksheet, students solve and complete 8 different problems identifying various types of conic sections. First, they write each equation given in standard form. Then, students determine whether the graph of each...
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Chapter 11 - Objective 6.1 Parabola
In this parabolic exercise, learners find the vertex and axis of symmetry of parabolas, hyperbolas, and ellipses. They sketch the graph. This one-page worksheet contains ten problems.
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Conic Sections
For this Algebra II worksheet, 11th graders solve problems involving ellipses, parabolas, circles, and hyperbolas. The one page worksheet contains nineteen problems. Answers are included.
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Algebra II Test
In this algebra test, students must determine 3 definitions, match 4 equations to the answer, 4 short answer, and graph 4 points on a coordinate plane. There are 20 questions total.
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Ellipses (Part 1)
Students work with Ellipses in Algebra II. In this algebra instructional activity, students solve an equation with a radical expression. They graph ellipses and write an equation for them.
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As The World Curves
Students partisipate in a web scavenger hunt on an introductory lesson for conic sections. They become familiar with general forms of the equations, what they look like, and how they are used in the real-world.
Shodor Education Foundation
Cross Sections
Use this activity on cross-sections of three-dimensional shapes in your math class to work on algebra or geometry Common Core standards. The lesson includes a list of relevent terminology, and a step-by-step process to illustrate the...
Bytes Arithmetic
Geometry Pad+
Graphing paper, pencil, ruler, protractor, and compass, all get replaced or supplemented with this dynamic geometry application. Here, you can create, move, and scale many different shapes, as well as, explore and change their properties...
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Hyperbolas
Students locate and identify the center, foci, vertices, and asymptotes fo hyperbolas. They graph equations involving asymptotes and hyperbolas. Finally, students determine the equation of a hyperbola with a horizontal transverse axis.
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Confocal Conics
Students describe conic sections from an equation or graph. They examine a family of conics that share a vertex, describe their relationship and write an equation. Students interpret the relationship between conic sections and write...
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Conic Sections
Students, while using a graphing calculator, graph systems of conic sections as well as identify their solutions. They complete various word problems dealing with conic sections with their calculators. In addition, students sketch graphs...
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Surface Area and Volume
In this surface area worksheet, students determine the surface area of a rectangular box given the volume. They graph hyperbolas and calculate the dimensions of a cone. This two-page worksheet contains three problems.
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Graphs And Ellipses
Students become acquainted with linear graphs, the parabola and the rectangular hyperbola. Also prepare tables of paired values as preparation for plotting a line. They study the cartesian equation of an ellipse, with a worked example.
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Algebra 2 Test
In this algebra worksheet, students solve problems involving functions, systems and conics. They simplify radicals and graph parabolas identifying the focus and ellipse. There are 20 questions.
West Contra Costa Unified School District
Standard Form of Conics
Looking for a complete go-to guide for the standard form of conics? This five-page packet does a nice job of connecting conics to prior knowledge of functions and transformations. Adapt the resource as Algebra II lesson plan notes, or...