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Graphs
In this graphs worksheet, learners 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...
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Hyperbolas: Sketching from the Equation
In this algebra worksheet, learners 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.
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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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Graphing at all Levels: It's a Beautiful Thing!
Mixing math and art is done in this lesson by applying graphing knowledge to create a unique piece of art. This lesson varies acording to the graphing knowledge of the artist. First, learners identify and review various types of graphing...
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Eccentricity of Conic Sections
In 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...
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Graphing and Properties of Hyperbolas
In 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...
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Writing Equations of Hyperbolas
In 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.
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Eccentricity
In this eccentricity worksheet, students solve and complete 20 various types of problems that include the eccentricity of an ellipse and a hyperbola. First, they graph each ellipse and list the variable values, calculating the...
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Hyperbola
In this hyperbola activity, 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....
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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.
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Conic Sections
In 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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Conic Sections and Locii
Students differentiate between ellipse and hyperbola. For this algebra lesson, students graph and solve elliptical equations. They use the cabri program to create the different conics and move them around.
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Graphs and Equations of Conic Sections Practice Test
In this conic section worksheet, students complete a thirty-one question practice test containing matching and problem solving conic equation and conic graph problems. The solutions are provided.
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Conics and Graphing
For this algebra worksheet, students solve equations by graphing an ellipse, circle and hyperbola. They match equations to graphs and define each type of function. There are 20 questions total.
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Hyperbolas from Circles
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 of...
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Applications of Hyperbolas
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...
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Conic Sections
In 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 of...
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Hyperbolas
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.
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Hyperbolas
Students analyze given hyperbolas and write the equation for an hyperbola given certain information. They also identify and define hyperbolas and complete an activity using the hyperbola paper included in the lesson which will help them...
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Translation and Rotation of Axes
Students rotate axes to eliminate the xy-term and illustrate the dissectible cone as needed. They also discuss the discriminant for the second degree equation in two variables, as well as the translation of axes and rotation of axes....
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Confocal Conics
Young scholars 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...