Curated OER
Multivariable Calculus: Curvilinear Coordinates
In this curvilinear coordinate activity, students compute the Jacobian of standard transformations to Cartesian coordinates from polar, spherical and cylindrical coordinates. They identify the determinant of the Jacobian matrices. This...
Yummy Math
A Cardioid for Valentine’s Day
It's Valentine's Day in geometry class! Celebrate the day of love with a heart-themed activity in which young mathematicians create a cardioid on polar graph paper.
Curated OER
Math Handbook: Trigonometry
You'll be spinning in unit circles once you read through this jumbo-sized resource of everything you need to know about trigonometry. Each page has color-coded examples with explicit directions that detail the problems and formulas.
Curated OER
Worksheet 26
In this math worksheet, students use the polar coordinates to find the Euclidian coordinates. Then they compare points on the coordinate plane.
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Worksheet 38
In this math activity, students investigate different types of functions and coordinate systems. They review that when integrating a function over a region in the plane using polar coordinates, a “magical” factor of r appears in the...
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Worksheet 31
In this math instructional activity, students investigate vectors and polar coordinates. They convert the paths of polar coordinates to Euclidian points.
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Worksheet 28 - Spring 1996
For this math worksheet, students examine the graph in polar coordinates of r = f(θ). Then they sketch a graph of the modified functions indicated.
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Graphing Polar Coordinates
Students define polar equations and learn to plot them. In this calculus lesson, students relate polar equations to real life scenarios such as plants and comic strips. They discuss and define the curves of polar equations.
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Graphing Polar Equations
For this graphing polar equations worksheet, students solve and complete 10 various types of problems. First, they construct a table of values using the special angles and their multiples. Then, students plot the points in the table on a...
Curated OER
Introduction To Polar Coordinates
Students investigate the polar coordinate system and practice plotting using Cartesian Coordinates. They find the angle and the radius and plot them while comprehending the ordered pairs using the x and y axis. The lesson includes...
Curated OER
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.
College Board
2007 AP® Calculus BC Free-Response Questions
Provide a review for the exam so individuals don't tank. AP® provides the free-response questions for teachers to use to help their pupils prepare for the exam. The six BC questions from 2007 include regions bounded by functions, water...
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Trigonometric Form of Complex Numbers
This lesson is written from the perspective of a student teacher. A step by step lesson in which the class works on the trigonometric form of complex numbers. They convert between trigonometric and complex forms. They will also practice...
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Worksheet 4 - Math 126: Sketching Polar Equations
In this sketching polar equations worksheet, students solve 5 short answer and graphing problems. Students describe a curve given the equation of the curve in polar form. Students sketch a graph of the equation.
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Polar Graphs
Young scholars graph polar graphs. For this calculus lesson, students convert between polar and rectangular coordinates. They graph their solution on the TI calculator and make observations.
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R & R - Incorporating Literature While Teaching Math - Ordered Pairs - "The Polar Express"
Third graders create pictures using ordered pairs after listening to a piece of literature. In this ordered pairs and literature instructional activity, student listen to and discuss The Polar Express by Chris Van Allsburg. They...
College Board
2003 AP® Calculus BC Free-Response Questions
There are shaded areas, particles, polar equations, oh my! Teachers use the materials to see how their pupils compare to the AP® Calculus BC exam expectations. Scholars use the released items to practice on several BC topics and become...
College Board
2011 AP® Calculus BC Free-Response Questions Form B
Take a second look. Form B of the AP® Calculus BC free-response questions allow pupils and teachers to see another set of items. The six questions expand the set of items from the 2011 free-response questions. Form B items include a...
College Board
2009 AP® Calculus BC Free-Response Questions Form B
Let them eat cake. The free-response questions from an AP® Calculus BC exam cover several topics that include finding the area under a curve within the context of creating a birthday cake. Calculus concepts include finding rates of...
Curated OER
Discussion Sheet 4: Integrals
In this integral worksheet, students sketch solids in three dimensional space, determine the coordinates, evaluate the integrals and identify the moment of inertia. This one-page worksheet contains six multi-step problems.
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Complex Analysis: Polar Form
In this polar form worksheet, students write complex numbers in polar form. They draw an Argand diagram containing vectors and draw sketches representing in a coordinate plane. This two-page worksheet contains thirteen multi-step...
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AP Calculus Practice Exam: BC Version - Part A
In this calculus worksheet, students solve 28 multiple choice problems. Students find derivatives, volumes, limits, convergent series, etc.
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Worksheet 29 Spring 1999
In this math worksheet, learners describe in terms of reflections what happens to a point when (r, θ) in polar coordinates changes. They also discuss the concept of symmetry.
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PreCalculus: Final Examination
In this final examination worksheet, students find the tangent function and sine function. They graph problems on a polar coordinate. Students describe trigonometric properties. This twelve-page worksheet contains 80 problems.
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