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Classifying Conic Sections
In 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...
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Sign of the Derivative
Learn how to investigate the change in a graph by dragging the cursor to observe the change in the function. They use the TI calculator to graph their parabola.
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Graphic Designing with Transformed Functions
Teach your class how to transform a graph! By identifying the domain and range of the functions, students can observe the parabola and find the vertex of the transformed graph.
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Quadratic Functions
For this algebra worksheet, students factor quadratic equations and graph their resulting parabola. They relate quadratics to real life scenario. There are 20 questions with an answer key.
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Exploring the Area Under a Curve
Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...
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Slopes and Slope Intercepts
Young scholars identify the slope of an equation using various methods. In this algebra lesson plan, students graph linear equations and calculate the slopes using the x and y intercept to solve the equations and graph the lines. They...
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Unit Plan On Quadratic Equations
Students explore a variety of ways of solving quadratic equations. Students choose from graphing, factoring, finding square roots, completing the square and using the Quadratic formula. They ponder in the end on polynomial equations.
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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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Practice Test: Vector Equations
In this vector equations worksheet, learners sketch curves when given vector equations. They determine when two curves intersect and find the tangential and normal components of an acceleration vector. This one-page worksheet contains 6...
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Functions
In this functions worksheet, 11th graders solve and complete 30 various types of multiple choice problems that include reading and interpreting functions and patterns. First, they determine the table that best represents a function....
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Linear and Quadratic Approximations
Students explore a linear, a parabolic, and a log function. In this Algebra II/Pre-calculus instructional activity students investigate the graph a line, a parabola, and a log function. Students examine the three graphs as...
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Representing Quadratics
Students represent quadratic equations using different methods. In this algebra instructional activity, students solve quadratics using substitution, elimination and graphing. They relate quadratics to the real world.
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Introduction to Solving Quadratic Equations by Factoring
Learners solve quadratic equations. In this algebra lesson plan, students factor and graph linear and quadratic functions. They identify the standard and linear form of each equation.
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Applications of Quadratic Functions
In this math activity, students investigate the quadratic functions. They solve the word problems while writing the new algebra expressions.
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Maximum and Minimum Values
In this Algebra II worksheet, 11th graders complete the square to write a quadratic equation in Standard form. Students identify the vertex, sketch the graph and state the maximum or minimum value of the functions. The one...
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Worksheet 14
In this math worksheet, students graph the function f(x) = sinx on a set of axes that is at least half the size of a page of notebook paper.
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Finding the Vertex of a Quadratic Function
Learners solve quadratic equations and identify the vertex. In this algebra lesson, students factor quadratic equations and identify the different properties of a parabola. They graph the functions using the vertex and intercepts.
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Systems of Equations
Students solve systems of equations. In this algebra lesson, students use elimination and substitution to solve for the point of intersection. They use graphing to see where the two lines intersect.
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The Derivative
In this derivative worksheet, students estimate the derivative of given functions. They identify the slope, the rate of change find the slope of a parabola. This two-page worksheet contains definitions, examples and five problems,
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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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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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Review For Test On Chapter 8
Students engage in a study that is intended to be a review for a calculus exam. They practice using a review study sheet to go over some of the major concepts. The review includes using parabolas, length of arc, and volume of solids of...
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Lesson 5: The Quadratic Formula
Students plot quadratic curves to distinguish how different values of a affect a graph. They solve quadratic equations by completing the square. Student's recognize the connection between the roots and the corresponding graph's...
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Mathematical Relationships
Students practice graphing a linear equation and a parabolic equation. They work cooperatively to select numbers, including fractions, which they will put into ordered pairs. Students explain their process to the class, discussing what...