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...
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.
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...
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
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...
Curated OER
Introduction to Polar coordinates
The class practices plotting points in a Cartesian coordinate system and a Polar coordinate system. They convert from one system to the other to get coordinates to plot. Then they play a Tic-Tac-Toe or Connect Four game to have a...
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
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
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
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...
Curated OER
What Can We Learn about India from a Ten Rupee Bank Note?
The class finds and cites evidence showing India's unity in diversity and work to recognize some of the complex interactions of a civilized community. They read to understand how geography, history, politics, economics, beliefs, and...
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...
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...
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...
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.
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...
Illustrative Mathematics
Computing Volume Progression 3
Learners are given a volume of a rectangular tank and are asked to find the water height. Because the total volume of the tank is given in liters, your geometers will need to use a unit ratio to convert to centimeters cubed. The exercise...
Curated OER
CONCEPTS IN NUMBER THEORY.
Young scholars 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...
Curated OER
Complex Analysis: Contour Integration
In this contour integration worksheet, students integrate formulas, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.
Curated OER
Graphing Calculator Activity
In this graphing calculator worksheet, 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 worksheet contains detailed instructions...
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.
Curated OER
"If you build it..."
Students utilize prior knowledge to erect and assemble a building from a drawing using spaghetti noodles and marshmallows. In this building lesson, students visualize a three dimensional structure from looking at a picture and converting...
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...