Curated OER
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.
Curated OER
Worksheet 29 Spring 1999
In this math worksheet, students describe in terms of reflections what happens to a point when (r, θ) in polar coordinates changes. They also discuss the concept of symmetry.
Curated OER
PreCalculus: Final Examination
For 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.
Curated OER
Complex numbers in polar form
Young scholars 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. Young scholars are...
Curated OER
Complex Analysis: Polar & Exponential Forms
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.
Curated OER
Complex numbers in polar form
Students 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...
Curated OER
Polar Equations
In this precalculus worksheet, learners find the solutions to polar equations for the 3 detailed problems using the coordinates and graphing calculators.
Schoolcraft College
Trigonometry
This trigonometry textbook takes the learner from a basic understanding of angles and triangles through the use of polar coordinates on the complex plane. Written by a mathematician-engineer, examples and problems here are used to...
Curated OER
Math 53 – Practice Midterm #1
In this math worksheet, students find the length of the curve given in the polar coordinates. They also evaluate the functions and simplify them.
Curated OER
Parametric, Vector, Polar, and 3D Functions
Twelfth graders investigate the capabilities of the TI-89. For this calculus lesson, 12th graders explore the parametric equation for a circle, for arc length of curves, and for trajectories. Students investigate the symbolic and...
Curated OER
Polar and Cartesian Coordinates
Students review polar coordinates, as well as translations and rotations in Cartesian Coordinates. They also watch a video on conics and write a summary of the video for a quiz grade. Students then find an equation after a...
Curated OER
Coordinates
Young scholars 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.
Curated OER
Conversion Between Polar And Cartesian Coordinates
Students engage in a lesson that is concerned with the conversiojn between Polar And Cartesian Coordinates. They convert betwen polar and cartesian equations. Students develop the conversion formula through review of previoius material.
Curated OER
Lesson #163 Conversion Between Polar and Cartesian Coordinates
Students are shown the conversion formula. In this conversion between polar and cartesian coordinates lesson, students are presented with a formula for converting between two types of coordinates. Two examples are included in the lesson....
Curated OER
Navigation, Working With Coordinates
Students view a polar view map and discuss ways of telling locations on the map. They view a copy of the map superimposed on a coordinate grid, then discuss ways of telling the locations. Students practice as a class and then...
Curated OER
Matrix Madness!!
Perform operations to add, subtract, multiply and divide matrices. Then solve problems with vectors using matrices. A three day lesson: Matrix Madness, Mystical Matrices, and Decode the Encode. The last lesson has prizes that the class...
College Board
2013 AP® Calculus BC Free-Response Questions
Apply the skills to problems to ace the AP test. Free-response questions require scholars to take calculus skills and apply them to situations. Pupils use the questions to see how those situations appear on an upcoming exam. Teacher use...
College Board
2014 AP® Calculus BC Free-Response Questions
How much of the material is really important? Pupils use the free-response questions from the 2014 AP Calculus BC exam to see how the questions appear. With the supporting material, teachers understand the topics that appear on the test...
College Board
2017 AP® Calculus BC Free-Response Questions
Pupils use the six released free-response questions from an AP Calculus BC exam to prepare for their own exam. The questions cover a range of topics from the BC curriculum, with half of the items coming strictly from AB material and the...
Lane Community College
Review Sheets: Trigonometry
Review guide, practice test, homework packet? Yes, yes, and yes as it's all possible with a wonderful trigonometry packet. Every type of problem is there, starting from the unit circle and ending with conic sections.
College Board
2018 AP® Calculus BC Free-Response Questions
Don't just rely on the textbook. Released items from the AP Calculus BC provide pupils and teachers insight on how topics appear on the exam. The six items are divided into calculator and non-calculator sets with half of them also...
Curated OER
The Mass of the Van Allen Radiation Belts
In this van Allen Radiation Belts worksheet, students are given the formula for the field line of the Earth's inner magnetic field. Students use this equation to find the polar coordinates of a field line in the van Allen Belts. They...
Curated OER
Worksheet 16: Area
In this area worksheet, students compute the area of a region bounded by graphs. They identify polar coordinates and sketch graphs of equations. This two-page worksheet contains approximately fifteen problems.
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
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