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Introduction to Polar coordinates
The class practices plotting points in a Cartesian coordinate system and a Polar coordinate system. They convert from one system to the other to get coordinates to plot. Then they play a Tic-Tac-Toe or Connect Four game to have a...
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Polar and Cartesian Coordinates
The class has a brief review of polar and Cartesian coordinates. Then they get to play battleship and discover polar coordinates in more depth. They get a lot of practice converting from polar to Cartesian coordinate points and vice...
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Space Shuttle's Heat Shield Problem
High schoolers participate in a role-play activity to determine how to replace heat shields on the space shuttle using polar coordinates.
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Worksheet 36-Spring 1996
In this math worksheet, students sketch the regions that give rise to three integrals. They find the volume of a solid in the first octant bounded by a defined cylinder and a parabaloid. Students change a function to polar coordinates....
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Ellipses and Kepler's First Law
The class examines graphs in the form r = F(¿¿) in polar coordinates (r, ¿¿), in particular with the circle, ellipse and other conic sections. They determine the nature of an ellipse by studying the role of the semimajor axis and...
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Worksheet 38-Spring 1996
For this math worksheet, students determine if the definite integral of given functions exist. They use a Taylor polynomial to approximate given values. Students express the arc length of a graph on a polar coordinate system as an integral.
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Visualizing Vectors
Investigate vectors in standard positions and use the CellSheet application on the TI calculator to find the sum of two vectors. Convert from polar to rectangular coordinates and vice versa, and show graphs of the vectors.
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Cartesian Coordinates
For this Cartesian coordinates worksheet, 11th graders solve and complete 4 different multiple choice problems. First, they express each of the Cartesian coordinates provided as polar coordinates. Then, students find the Cartesian...
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Polar And Cartesian Coordinates
Students engage in a lesson that is about the study of Cartesian and Polar Coordinates. They play a game of Battleship to create the context for the lesson. The examples in the lesson can be used as a guide for the students or the teacher.
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Worksheet 25
In this math worksheet, students draw a graph of functions on a polar graphing system. They graph two functions by first plotting them on the vertical axis as a function of a given angle, then by plotting them at a radial distance from...
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Graphing Polar Coordinates
High schoolers engage in a lesson that is about the plotting of polar coordinates while graphing equations. They plot multiple points with the help of a graphing calculator and using coordinate graph paper. Students identify the pattern...
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Polar Coordinates Game
For this algebra game, students pair off to plot polar coordinates on a circular graph. They attempt to hit each other by guessing their opponents location on the graph. This is a great way to reinforce the concept of polar coordinates....
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.
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Worksheet 26
In this math learning exercise, 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 instructional 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...
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Worksheet 31
In this math learning exercise, 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 instructional activity, 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
In 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...
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Introduction To Polar Coordinates
High schoolers 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...
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Trigonometric Form of Complex Numbers
This instructional activity is written from the perspective of a student teacher. A step by step instructional activity in which the class works on the trigonometric form of complex numbers. They convert between trigonometric and complex...
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Worksheet 4 - Math 126: Sketching Polar Equations
In this sketching polar equations worksheet, high schoolers solve 5 short answer and graphing problems. Students describe a curve given the equation of the curve in polar form. High schoolers sketch a graph of the equation.
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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 activity, student listen to and discuss The Polar Express by Chris Van Allsburg. They participate in...
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AP Calculus Practice Exam: BC Version - Part A
In this calculus activity, students solve 28 multiple choice problems. Students find derivatives, volumes, limits, convergent series, etc.
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