Curated OER
Architecture: CAD Design
Students apply computer-assisted design programs to develop sketches and technical drawings for a three-bedroom house. Working together, they develop strategies for presenting their designs, investigate building codes, and hone skills...
Texas Instruments
Complex Numbers: Plotting and Polar Form
Explore the concept of, and use the Ti-Nspire to, convert complex numbers into polar form. Then practice graphing complex numbers in the polar coordinate plane.
Curated OER
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...
Curated OER
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.
Curated OER
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.
Curated OER
Worksheet 39 - Polar Coordinates
In this polar coordinates worksheet, students graph polar coordinates and determine the values of a given series. This one-page worksheet contains 14 multi-step problems.
Curated OER
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....
Curated OER
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...
Curated OER
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.
Curated OER
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...
Curated OER
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...
Curated OER
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.
Curated OER
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...
Curated OER
Discussion Sheet 4: Integrals
In this integral instructional activity, students sketch solids in three dimensional space, determine the coordinates, evaluate the integrals and identify the moment of inertia. This one-page instructional activity contains six...
Curated OER
Multivariable Calculus: Curvilinear Coordinates
In this curvilinear coordinate instructional activity, students compute the Jacobian of standard transformations to Cartesian coordinates from polar, spherical and cylindrical coordinates. They identify the determinant of the Jacobian...
Curated OER
Worksheet 31
In this math learning exercise, students investigate vectors and polar coordinates. They convert the paths of polar coordinates to Euclidian points.
Curated OER
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.
Curated OER
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...
Curated OER
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.
Curated OER
A Second View of Polar Coordinates
In this polar coordinates worksheets, students change ordered pairs from rectangular form to polar form. They plot and label points and identify alternative coordinate pairs for given points. There are approximately 20 problems on this...
Curated OER
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.
Curated OER
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...