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The Football Kick:An Application of Parametric Equations
Students investigate the concepts relating to the solving of parametric equations. They take the derivatives of parametric equations during guided and independent practice using the problems provided in the lesson plan. Students also...
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Powers and Roots of Complex Numbers
Explore a few powers of complex numbers numerically and decide if there is a pattern and use parametric equations to represent a complex number graphically. Use De Moivre's theorem to represent the roots of the complex number...
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Math 53 - Midterm 1 Review
In this math activity, students eliminate the parameter to find a Cartesian equation of the curve given by the parametric equations.
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Math 53 - Review for Midterm 1
In this review for midterm, students use parametric equations to find points on a curve, explore conic sections, write vector functions, and sketch cylindrical coordinates. This two-page review contains 10 multi-step problems.
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Worksheet 22 - Spring 1996
learners examine the potential of creating the involute for a circle. They use the concept to create new parametric equations. They graph the picture for each.
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Twenty Multiple Choice and Free Response Derivative Problems
In this derivative worksheet, students solve ten multiple choice and ten free response problems. These problems include: derivatives of trig functions, tangent lines, parametric equations, and instantaneous rates of change.
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Drawing Regular Polygons
Learners investigate properties of regular polygons. In this geometry activity, your class will use a graphing calculator and parametric equations to construct regular polygons and investigate the relationship between the measure of...
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Vectors
In this vectors activity, students solve and complete 6 various types of problems. First, they find two unit vectors that are parallel to the given vector and illustrate. Then, students find parametric equations for the line that passes...
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Pre-Calculus Review Sheet
Pre-Calculus has some detailed formulas involved and here is a great resource that lumps then all together for you. Broken up into rectangular, polar, and parametric sections, the conics all include formulas and graphs.Â
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Parametric Races & Slopes
Learners investigate the slopes and parametric equations. In this calculus lesson plan, students solve parametric equations with specific parameters. They relate lines and slopes based on the derivative of the equation.
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Parametric Projectile Motion
Learners relate projectile motion to parametric equations as they identify the velocity and angle of a projectile. They create a picture on the navigator to visualize the word problem.
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Parametric, Vector, Polar, and 3D Functions
Twelfth graders investigate the capabilities of the TI-89. For this calculus lesson, 12th graders explore the parametric equation for a circle, for arc length of curves, and for trajectories. Students investigate the symbolic and...
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Worksheet 10
In this math learning exercise, students determine if the information is used to describe a line. They examine the parametric and symmetric equations.
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Worksheet 17: Writing Equations
In this equations worksheet, students graph the curve represented by pairs of parametric equations. They determine the slope of the line tangent to a given graph. Students find the area region lying under the curve. This two-page...
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Linear Systems and Echelon Forms
Eleventh graders define various types of linear systems and three types of solutions. In this linear system and echelon forms instructional activity, 11th graders solve a linear system using elementary row operations. Students also...
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BASEBALL HOME RUN
Students determine whether a hit baseball is a home run or not by utilizing parametric equations to describe the path of the ball. They assess the importance of angles and velocity needed to hit a home run. In addition, in their own...
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Ferris Wheel Problem
Pupils use two pairs of parametric equations to describe two objects in motion. They determine when two objects are the closest. They simulate the behavior of the two objects and interpret the behavior of the objects in motion.
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Calculus: Graphical, Numerical, Algebraic
Students explore the interplay between the geometric and analytic information and on the use of calculus both to predict and to explain the observed local and global behavior of a function. They write a paragraph describing any...
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Worksheet 2.4/2.5: MT-A141 PreCalculus
In this precalculus worksheet, students use their graphing calculator to graph the domain and range of given terms. They write parametric equations and identify the coordinates of the points on the relation given certain terms.
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Pre-Calculus Sudoku Puzzle
In this pre-calculus instructional activity, student solve 35 multiple choice problems and then place the answers in a Sudoku puzzle form. This instructional activity would be a great warm up or fun test review.
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Worksheet 12
In this math worksheet, students explain the vector parametric equation for a line, scalar parametric equations, symmetric equations, and the implicit equation for a line.
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Worksheet 11
For this math worksheet, learners find the vector parametric equation and symmetric equations for the line using two coordinate points.
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Space Shuttle Launch Trajectory-I
In this space shuttle launch worksheet, students are given 2 equations used to determine the space shuttle's trajectory in the first 5 minutes of a launch. Students use these equations to solve 3 problems including finding the shuttle's...
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Parametrics 1
In this parametric worksheet, students sketch given inequalities and use trigonometry functions to eliminate the parameters. They write equations of a line under given parameters. This four-page worksheet contains 11 multi-step problems.