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Jump! An Exploration into Parametric Equations
Explore parametric equations in this lesson, and learn how to determine how much time it takes for an object to fall compared with an object being launched. high scoolers will use parametric equations to follow the path of objects in...
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Worksheet 28: Parametric Equations
In this parametric equations worksheet, students read informational paragraphs and answer 10 questions regarding parameter, velocity, speed, curvature, parametric equations, and scalar curvature.
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Vectors and the Equation of a Line
Represent linear equations in both two and three dimensions using parametric equations. Learners write parametric equations for linear equations in both two and three variables. They graph and convert the parametric equations to...
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Linear Transformations of Lines
Discover the extension of parametric equations to model linear transformations. Scholars first write parametric equations to model lines through two points. They then find the parametric equations that represent a linear transformation.
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Introduction to Parametric Equations
Students write and solve parametric equations. In this algebra lesson, students find and eliminate parameter of equations. They graph parametric equations and analyze the graphs.
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Speaking Parametrically
Students solve equations by taking the derivative. In this calculus lesson, students solve parametric equations implicitly. They use the TI-calculator to graph their equations.
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Parametric Equations
High schoolers investigate the concept of parametric equations and practice taking the derivatives and then the Quotient Rule is proven. They prove the Quotient Rule while using the Chain Rule with the examples given in the lesson for...
EngageNY
Motion Along a Line – Search Robots Again
We can mathematically model the path of a robot. Learners use parametric equations to find the location of a robot at a given time. They compare the paths of multiple robots looking for parallel and perpendicular relationships and...
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The Football Kick An Application of Parametric Equations
Twelfth graders define parametric equations and take the derivative of parametric equations. In this calculus lesson, 12th graders solve word problems using parametric equations to find x,y and z. They observe graphics and complete...
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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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Drawing Regular Polygons
Learners investigate properties of regular polygons. In this geometry instructional activity, your class will use a graphing calculator and parametric equations to construct regular polygons and investigate the relationship between the...
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Parametric Races & Slopes
Learners investigate the slopes and parametric equations. In this calculus lesson, 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. In this calculus lesson, 12th graders explore the parametric equation for a circle, for arc length of curves, and for trajectories. Students investigate the symbolic...
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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 lesson, 11th graders solve a linear system using elementary row operations. Students also describe the set of...
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BASEBALL HOME RUN
Young scholars 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...
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Ferris Wheel Problem
Learners 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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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.
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Quadratic Equations and Binomial Square Theorem
Students factor quadratic equations. In this algebra instructional activity, students apply the binomial square theorem to solve quadratics. They complete the square and use the complex number system to solve for the roots.
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Worksheet 14
In this math worksheet, students analyze a path around a circle. The interval is defined. Students sketch a graph of a given parametric curve. Five application problems give students practice using these concepts in real life situations.
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Dynamic Algebra
Explore 5 classical problems of algebra. They will solve problems involving Heron's formula, fractional equations, vector equations, apollonius' sphere, and transversals. The idea is to lead to new perceptions and visual...
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Designing Your Own Game
Your classes become video game designers for a day! They utilize their matrices, vectors, and transformation skills to create and design their own game images. The complex task requires learners to apply multiple concepts to create their...
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Review for Test on Derivatives.
Students review derivatives and equations for their test. In this calculus lesson, students review average rate, parametric equations, tangent line to a curve and value of a derivative to prepare and show mastery on a chapter test. They...