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.
CK-12 Foundation
Trigonometric Form of Complex Numbers
Represent complex numbers in two ways. Pupils use the interactive to convert polar and rectangular representations of complex numbers. The learners drag an overlay back and forth over the coordinate plane to reveal the polar coordinates...
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...
EngageNY
Trigonometry and Complex Numbers
Complex numbers were first represented on the complex plane, now they are being represented using sine and cosine. Introduce the class to the polar form of a complex number with the 13th part of a 32-part series that defines the argument...
Curated OER
Complex numbers in polar form
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...
EngageNY
Does Every Complex Number Have a Square Root?
Help the class find a better way. Pupils recall finding nth roots or a complex number in polar form from a previous module to find the square root of a complex number. Using the second installment in a series of 23, scholars discover it...
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
Complex Numbers
In this complex numbers learning exercise, 9th graders solve 10 different problems that include determining the absolute value of each equation. First, they convert the number to the a+bi form. Then, students select the coefficients for...
CK-12 Foundation
DeMoivre's Theorem and nth Roots: The nth Roots of Unity
The nth roots of unity all have a magnitude of one. Scholars use the unit circle and DeMoivre's Theorem to find the complex roots of one and discover that the complex numbers all lie on the unit circle and are equally spaced around it...
EngageNY
The Geometric Effect of Multiplying by a Reciprocal
Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...
Curated OER
Converting Fractions to Decimals
These fractions need to be converted to decimals, but no calculator is needed. Scholars examine two examples which explain the process briefly before completing 16 fractions with denominators of either 10 or 100. For the next section...
EngageNY
Curves in the Complex Plane
Go around and around on the complex plane. The sixth instructional activity in a 23-part unit reviews representing numbers in the complex plane. Pupils graph numbers with equal moduli and notice they represent a circle. They continue to...
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
Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra instructional activity, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
EngageNY
Ratios of Fractions and Their Unit Rates 2
Remodeling projects require more than just a good design — they involve complex fractions, too. To determine whether a tiling project will fit within a given budget pupils calculate the square footage to determine the number of tiles...
Huntington Library
Religion & Spirituality - Exploring the California Missions
The California missions were built with the hope of converting the local Native Americans to Catholicism, but exactly how different were their beliefs to begin with? Through analysis of a series of primary source documents, young...
Curated OER
Graphing Calculator Activity
In this graphing calculator learning exercise, students explore the steps to analyze a complex fraction using a graphing calculator. They simplify a complex fraction to a proper fraction. This four page learning exercise contains...
EngageNY
Percent
Extend percent understandings to include percents less than one and greater than 100. A great lesson has pupils build upon their knowledge of percents from sixth grade. They convert between fractions, decimals, and percents that are less...
Institute for Energy and Environmental Research
Practice with Scientific Notation
Zeroes are more important than they look! A guided practice activity takes learners through the process of both scientific and decimal notation, culminating in more complex word problems and equations.
Bowland
Hot Under the Collar
It is close enough for all practical purposes. Pupils see two methods to convert degrees Celsius to degrees Fahrenheit, one with exact numbers and another using estimation. Learners review both methods and determine when the estimation...
Curated OER
Carbohydrates - Simple and Complex
Students examine simple and complex carbohydrates. They take notes and complete a worksheet. They also research cookbooks and find recipes which shows the simple and complex carbohydrate groups.
Curated OER
CONCEPTS IN NUMBER THEORY.
Students study the Maya culture and their achievements in mathematics, how bacteria grow exponentially, use rational numbers to convert back and forth between Celsius and degrees Fahrenheit, how some architectural designs are examples of...
EngageNY
Adding and Subtracting Rational Expressions
There's a fine line between a numerator and a denominator! Learners find common denominators in order to add and subtract rational expressions. Examples include addition, subtraction, and complex fractions.
Illustrative Mathematics
Margie Buys Apples
One of the most common, everyday applications of math is dealing with money. This single problem calculating how much change Margie receives is more involved than it appears at first glance. An understanding of how fractions and decimals...