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Mirror Curvature
Students investigate parabolas as the shape of a telescopic mirror. In this Algebra I/Algebra II lesson, students explore the relationship between the coefficients of a quadratic function and the shape and position of the parabolic...
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Parabolas
In this parabolas learning exercise, learners solve and complete 12 different types of problems. First, they draw a sketch of each equation shown. Then, students write the vertex form of each graph on the line provided.
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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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Parabolas
Students review four types of parabolas. They discuss y=x^2-4x. Students practice working this problem by completing the square. They identify the vertex, focus and directrix of the parabolic formula. Students work several problems...
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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...
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Lesson 1: Exploring Quadratic Graphs
Learners, using a specified website, plot quadratic curves to distinguish how different values of a affect a graph. They investigate how the constant and the absolute value of a function affects the graph. They identify the parabola...
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Functions and Applications: Maximum Quadratic functions
In this maximum of quadratic equations worksheet learners compute the maximum height of 5 independent events. Each problem uses a golf game as the setting. Students use a quadratic equation to solve the problems.
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Ellipses (Part 1)
Students work with Ellipses in Algebra II. In this algebra lesson, students solve an equation with a radical expression. They graph ellipses and write an equation for them.
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Precalculus, Droodle Review Sheet
In this pre-calculus activity, students solve 20 problems in order to determine the "Droodle." Each correct answer the students achieve will be associated with a letter, that letter will be used to uncover the identity of a strange...
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I Spy
Students take photos of objects and write an equation. In this equations with photos lesson, students take pictures of objects around the school that have the shape of mathematical items learned in class. Students also draw in an x-axis...
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Reading Graphs
Learners practice plotting functions on the Cartesian coordinate plane, see several categories of functions, including lines and parabolas, and read a graph, answering questions about the situation described by the graph
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Solving Quadratic Equations by Graphing
Students solve quadratic equation by graphing. In this algebra lesson plan, students use the TI calculator to get a visual of their graph. They create a table of values, plot their points and graph the parabola.
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Quadratic Modeling Of Canada's Baby Boom
High schoolers model quadratic equations. In this algebra lesson, students are given data to graph using a function. They investigate vertex and transformation of quadratic functions.
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Graphs and Ellipses
Students explore linear graphs, the parabola and the rectangular hyperbola.
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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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Linear Quadratic Systems
In this linear quadratic system instructional activity, students explore a system with a linear and a quadratic equation. With the given equations, students graph the parabola. They identify the axis of symmetry, the slope, points of...
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Four Graphs of Transformations Problems
In this transformations activity, learners sketch transformations of given graphs in four problems. In one of these problems students match graphs to equations.
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Introduction to Slope Fields
Students plot slope fields. In this introduction to slope fields lesson, students plot 12 slope fields for given differential equations.
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Applications of Quadratic Functions
In this math worksheet, students investigate the quadratic functions. They solve the word problems while writing the new algebra expressions.
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Quadratic Equations
In this quadratic equations instructional activity, students answer 15 questions about quadratic equations. Students complete the square, use the quadratic formula, write equations in vertex form, and solve quadratic equations by...
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The Doctrine of Signatures
Students use the graphing calculator and the core equation: y=Ax^2+Bx+C where A = the acceleration of gravity/2, B = the initial velocity, and C = initial height above ground to graph parabolas for Earth and Mars. They experiment with...
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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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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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Hang Time
Students use the equation to calculate the vertical distance an object fall during 1 second in 1/10 second increments. (The acceleration due to gravity on the Earth=a= 9.8 m/s2) Using a graphing calculator, students plot the path of a...