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Parametric Equations and a Heart

For Students 8th - 12th Standards
Trigonometry, art, and Valentine's Day come together in a creative activity about parametric equations. Learners calculate several equations before graphing them either by hand, on a graphic calculator, or Excel spreadsheet to curve...
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Introduction to Parametric Equations

For Teachers 9th - 10th
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

For Teachers 9th - 11th
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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The Football Kick An Application of Parametric Equations

For Teachers 12th
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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Parametric Races & Slopes

For Teachers 9th - 12th Standards
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

For Teachers 9th - 12th Standards
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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Calculus: Graphical, Numerical, Algebraic

For Teachers 10th - 12th
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...
Activity
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As the Wheel Turns

For Teachers 10th - 12th Standards
This is not your typical Ferris wheel problem. In this exercise, your class will combine their knowledge of sinusoidal functions as well as linear motion to come up with parametric equations that model the position of a point on the edge...
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Quadratic Equations and Binomial Square Theorem

For Teachers 9th - 11th
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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Review for Test on Derivatives.

For Teachers 12th - Higher Ed
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...
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Mini Examination

For Teachers 12th
Twelfth graders review the properties of derivatives without a calculator to get ready for their test. In this calculus instructional activity, 12th graders review average rate change, parametric equations, a line tangent to a...
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Test on sections 6.2-6.3

For Teachers 12th
Twelfth graders review the properties of derivatives without a calculator to get ready for their test. In this calculus lesson, 12th graders review average rate change, parametric equations, a line tangent to a curve, quotient...
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Final Exam Multiple Choice

For Teachers 12th
Twelfth graders review the properties of derivatives without a calculator to get ready for their test. In this calculus lesson, 12th graders review average rate change, parametric equations, a line tangent to a curve, quotient rule,...
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Final Exam Multiple Choice part B

For Teachers 12th
Twelfth graders review the properties of derivatives without a calculator to get get ready for their test. In this calculus lesson, 12th graders review average rate change, parametric equations, a line tangent to a curve, quotient...
Lesson Plan
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Gateway Arc Length

For Teachers 9th - 12th Standards
Learners differentiate and calculate the length of an arc. They define an arc and relate it to the area of a circle and integrate the function to solve the equations. Students use their TI calculators to graph the equation.
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Polar Graphs

For Teachers 9th - 12th Standards
Students graph polar graphs. In this calculus lesson plan, students convert between polar and rectangular coordinates. They graph their solution on the TI calculator and make observations.
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Cannonball

For Teachers 8th - 10th
Learners calculate the speed, motion and distance of a projectile. In this geometry lesson, students obtain measurements while calculating velocity. They graph their results and make predictions.
Lesson Plan
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Functional Analysis

For Teachers 9th - 10th
Students perform functional analysis. In this pre-calculus lesson, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.

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