EngageNY
Exploiting the Connection to Trigonometry 2
The class checks to see if the formula for finding powers of a complex number works to find the roots too. Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about how to reverse...
Thomson Brooks-Core
Complex Numbers
A straightforward approach to teaching complex numbers, this lesson addresses the concepts of complex numbers, polar coordinates, Euler's formula, De moivres Theorem, and more. It includes a practice problems set with odd answers and a...
EngageNY
Exploiting the Connection to Trigonometry 1
Class members use the powers of multiplication in the 19th installment of the 32-part unit has individuals to utilize what they know about the multiplication of complex numbers to calculate the integral powers of a complex number. Groups...
Curated OER
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.
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
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
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
Worksheet 20 - Derivatives
In this derivative worksheet, students solve functions, sketch the direction of the rate of change, and describe functions using polar coordinates. This two-page worksheet contains seven multi-step problems.
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
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 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
Worksheet 34
In this math worksheet, 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.
Curated OER
Complex Analysis: Polynomial Equations
For this polynomial equation worksheet, students explore real fractional powers of complex numbers. This three-page worksheet contains examples, explanations and approximately seven problems.
Curated OER
Complex Analysis: Polynomial Equations
In this polynomial equations worksheet, students evaluate roots and draw vector representations. This three-page worksheet contains four problems.