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Parabolic Paths
Students investigate properties of parabolas. In 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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Parabolas
In this Algebra I/Algebra II worksheet, students identify the vertex and the axis of symmetry of a parabola, given the equation. The two page worksheet contains a combination of ten multiple choice and free response questions. Answers...
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Properties of Parabolas
Learn to identify the properties of parabolas. High schoolers define parabola as the locus of all points equidistant from a fixed point and a fixed line. Also, interpret the equation for a parabola in vertex form and gain a visual...
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Modeling the Keeling Curve with Excel
In this modeling the Keeling Curve worksheet, students use given data beginning in 1960 to create a mathematical model for the changes in atmospheric carbon dioxide over time. Students manipulate the equation to predict the carbon...
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Curve Sketching Review Worksheet
In this curve sketching worksheet, students solve 13 short answer and graphing questions. Students find maximums, minimums, critical points, turning points, increasing/decreasing intervals, etc.
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Parabolas
For this Algebra I/Algebra II worksheet, students determine the vertex and the axis of symmetry of a parabola. The two page worksheet contains a combination of eleven multiple choice and free response questions. Answers are included.
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Maximum and Minimum Word Problems
In this maximum and minimum worksheet, students solve and complete 10 various types of word problems. First, they find the numbers if the product of the square of one of the numbers with the cube of the other number is to be a maximum....
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Big Wheels Keep on Turning
Eleventh graders work in groups and investigate how force determines the speed and distance then they view the video, "Math Vantage #7: What's Your Angle?." They are given a real life problem to solve using speed, ramps, angle, incline...
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Sums and Difference of Cubes
Learners factor polynomials using the sum and difference of cubes. They also learn connections between the graph and expression.
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SkyHighScrapers
Students investigate quadratic functions. For this Algebra I/Algebra II lesson, students determine the equation of a quadratic function that closely matches a set of points. Students investigate the necessary information that would...
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Mirror Curvature
Students investigate parabolas as the shape of a telescopic mirror. In this Algebra I/Algebra II activity, students explore the relationship between the coefficients of a quadratic function and the shape and position of the parabolic...
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Telescope #2
Learners investigate parabolas as the shape of a telescopic lens. In this Algebra I/Algebra II instructional activity, students explore the relationship between the coefficients of a quadratic function and the shape and position of the...
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Windsail Design
Students fit quadratic models to windsail designs. In this fitting quadratic models to windsail designs lesson, students compare quadratic models of sails with different measurements and mast size. Students vary the a-value for a sail...
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Count the Differences
Learners determine the degree of polynomials. In this determining the degree of polynomials lesson, students find the difference between consecutive y-values. Learners find the degree of a linear, quadratic, and cubic function by this...
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Parabola with Horizontal Directrix
Learners find the vertex, directrix, and focus of a parabola. They graph parabolic functions and solve application problems involving parabalas.
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Parabola With Horizontal Directrix
Students find the vertex, directrix, and focus of a parabola and graph parabolic functions. They solve problems involving parabolas after a demonstration lesson by the teacher.
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Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra instructional activity, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
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Application of Parabolas
Students graph quadratic equations. In this algebra lesson, students relate the parabola to real life applications. They identify the maximum and minimum of the parabola.
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Polynomials Degree and Finite Differences
In this algebra worksheet, students identify polynomials and state the degree and rewrite it in standard form. There are 32 questions ranging from polynomials to graphing a quadratic.
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Effects of Parameter Changes
Young scholars 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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Algebra I: Multiplying Polynomials and Factoring
Students use concrete models (algebra blocks) to demonstrate their processes for solving quadratic equations. They apply the commutative, associative, and distributive properties to simplify algebraic expressions and to solve quadratic...
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Crossing the Asymptote
Students investigate graphs and their asymptotes. In this precalculus activity, students examine the numerator and denominator of their rational functions. This helps them identify where and when the graph will cross its asymptote.
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Will Exams Be Cancelled?
If the flu outbreak continues, exams will have to be canceled. Investigate the properties of exponential and logarithmic functions. In this algebra lesson, students use the TI to examine and differentiate between exponential growth and...
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Introduction to Polynomials
Learners analyze the graphs of polynomial functions, examine vocabulary associated with polynomials, and determine the maximum number of real roots possible for a polynomial