Polar Coordinates Teacher Resources

In this math worksheet, students sketch six integrals and rewrite the equations as double integrals with reversed integration orders. Students evaluate four integrals. They sketch all points on a coordinate plane when given complex...

In this math worksheet students find the solution u(x,y) of Laplace's equation in a given rectangle with specified boundaries. Students use the chain rule to compute values for a function and relate this answer to Laplace's equation....

Students graph polar graphs. In this calculus lesson, students convert between polar and rectangular coordinates. They graph their solution on the TI calculator and make observations.

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.

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.

Learners investigate the slopes and parametric equations. In this calculus lesson, high schoolers solve parametric equations with specific parameters. They relate lines and slopes based on the derivative of the equation.

High schoolers construct a sketch of the planets in our solar system using concentric circles and angles. In this solar system lesson plan, students plot the position of each planet on concentric circles using graph paper. The sun is...

In this ion rocket and orbits worksheet, students read about the spiral orbit the Dawn spacecraft took due to its ion rocket motor. Students solve 3 problems including finding the path taken by the spacecraft, determining the total path...

For this calculating arc lengths worksheet, students are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.

In this frames of reference worksheet, students solve 5 problems given the details of a journey an ant takes from the center of a CD ROM to its edge. Students draw a scaled sketch of the turntable showing the motion of the ant from...

Students examine the differences between a virus and a bacteriophage. They explore various websites, identify the parts of a virus and a bacteriophage, and construct a model of a virus or bacteriophage.

In this precalc lesson, students write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.

Fourth graders use games and puzzles to explore co-ordinate systems and their uses. Students are given the opportunity to invent their own systems by locating counters on a sheet of paper and by finding the dead center of a set of objects.

Students plot complex numbers in the polar plane. They convert complex numbers in polar form to rectangular form. Students plot coordinates in the polar plane. They plot complex numbers in the complex plane. Students are asked to...

In this polar and exponential form worksheet, students use Euler's Formula to write complex numbers in exponential form. They write numbers in rectangular form. This two-page worksheet contains seven multi-step problems.

Learners plot complex numbers in the polar plane. They are asked to list what they believe are the five most famous numbers in mathematics. Students are explained that generally accepted that the five most famous numbers in mathematics...

In this precalculus worksheet, students find the solutions to polar equations for the 3 detailed problems using the coordinates and graphing calculators.

For this math worksheet, students sketch the regions that give rise to the integrals. Then rewrite them as double integrals with the integration order reversed.

Students are introduced to the concept/idea of a vector, what it represents and why they are used. They develop an understanding of what vectors are, how and why they are used.

In this math activity, students find the plane perpendicular to the path (t2, t, cos 2πt) at time t = 1/4. Then they determine the location in which the object is moving the fastest.

For this math worksheet, students examine the equations for the planets of Mercury and Saturn. Then they find the distance of Saturn’s closest and farthest approach to the sun.

In this math learning exercise, students investigate how time is related to the concept of increasing or decreasing velocity. Then they consider times and answer the questions of whether the velocity is changing.

Pupils use cartesian coordinates (x,y,z) in 3-dimensional space. [Optional: appreciate there exist two ways of defining the z axis, and which of them is used.] They become familiar with the tools and terms used by surveyors.