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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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Mathematical Relationships
Young scholars 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...
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Chapter 3 - Worksheet 3E - Functions
In this function worksheet, students observe graphs and determine if the function of the graph is odd or even. They find the inverse of a function and determine the horizontal asymptote of a function. This four-page worksheet contains...
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Graphing Square Root and Other Radical Functions
In this worksheet, students graph the square root and other radical functions by examining the parent function and the translations and shifts that occur within the function family. The two page worksheet contains twelve problems.
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Parabolic Paths
Young scholars investigate properties of parabolas. For this algebra lesson, students identify the different paths of a parabola. They use the navigator to make observations of the parabola.
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Standard Form of Quadratic Functions
High schoolers factor quadratic equations. In this algebra lesson, students identify the factors and use them to graph the parabola. They find the parameters and vertex of each graph.
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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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Four Graphs of Transformations Problems
For this transformations worksheet, learners sketch transformations of given graphs in four problems. In one of these problems students match graphs to equations.
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Graphs of Quadratic Equations
In this graphs of quadratic equations instructional activity, 9th graders solve and complete 9 different types of problems. First, they find the x- and y-intercept of each equation by using the quadratic formula. Then, students find the...
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A Study of a Quadratic Function
Students factor and solve quadratic equations. In this algebra lesson, students play a game as the collect and graph data. they identify properties of their parabola and make predictions.
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Transformations of a Quadratic Function
Students graph quadratic functions. For this algebra lesson, students perform transformation on the TI calculator as they create a visual. They identify the vertex and intercepts of the parabola.
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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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Review For Test On Chapter 8
Learners 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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Getting Out of Line
Students explore basic connections between graphs, tables, and symbolic representations for lines, parabolas, inverse models, and exponential models. One of the primary goals of this lesson is to help students begin to recognize patterns...
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Circles
Students graph circles. In this graphing lesson students write equations for circles. Students solve equations for circles and graph the results.
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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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I Spy
Students take photos of objects and write an equation. For 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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Projectile Motion
A unique and useful presentation, this covers projectile motion for your general physics class. Many graphs display the vectors involved, and some even act as animations. Motion is broken down into its components and only then are the...
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Linear and Quadratic Approximations
Students explore a linear, a parabolic, and a log function. In this Algebra II/Pre-calculus lesson students investigate the graph a line, a parabola, and a log function. Students examine the three graphs as they compare and...
Illustrative Mathematics
Building an Explicit Quadratic Function by Composition
Use an activity to illustrate the different forms of a quadratic function. Here, the task asks learners to use composition of given functions to build an explicit function. The process emphasizes the impact of the order of...
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Quadratic Equations and Functions
Young scholars factor and solve quadratic equations. In this algebra lesson, students identify the domain and range of the quadratic function. They graph the parabola and identify the vertex.
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Investigating Newton's Second Law Of Motion
Students participate in a lesson that investigates Newton's Second Law of Motion. They conduct an experiment of observing balls that are rolled down a ramp. The lesson includes background information for the teacher for preparation and...
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Effects of Parameter Changes
Students define properties of a quadratic equation. In this algebra lesson, students graph and factor quadratic functions. They write equations for polynomials, given a graph.
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Quadratic Formula
Students factor and solve quadratic equations.In this algebra lesson plan, students identify the roots of an equation using the quadratic formula. They graph and identify the properties of a parabola.