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Project Maths

Complex Number Operations

For Teachers 10th - 12th Standards
What do animated videos have to do with mathematics? Using operations of complex numbers and their representations on the complex plane, high schoolers observe how mathematics could be used to move animations. The lesson...
Lesson Plan
EngageNY

Complex Number Division 1

For Teachers 11th - 12th Standards
Conjugating in the math classroom — and we're not talking verbs! The seventh lesson in a series of 32 introduces the class to the building blocks of complex number division. During the instruction, the class learns to find the...
Lesson Plan
EngageNY

The Geometric Effect of Some Complex Arithmetic 1

For Teachers 11th - 12th Standards
Translating complex numbers is as simple as adding 1, 2, 3. In the ninth lesson in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads pupils into what it...
Lesson Plan
EngageNY

The Geometric Effect of Some Complex Arithmetic 2

For Teachers 11th - 12th Standards
The 10th lesson in a series of 32, continues with the geometry of arithmetic of complex numbers focusing on multiplication. Class members find the effects of multiplying a complex number by a real number, an imaginary number, and another...
Lesson Plan
EngageNY

An Appearance of Complex Numbers 2

For Teachers 11th - 12th Standards
Help the class visualize operations with complex numbers with a instructional activity that formally introduces complex numbers and reviews the visualization of complex numbers on the complex plane. The fifth installment of a...
PPT
University of Texas

Complex Numbers

For Students 9th - 12th Standards
Are complex numbers and binomials similar? This stack of slides provides an introduction to complex numbers and shows how to operate with them. The worked examples show a connection between operating with binomials and operating with...
Lesson Plan
EngageNY

Distance and Complex Numbers 1

For Teachers 11th - 12th Standards
To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...
Lesson Plan
EngageNY

The Order of Operations

For Teachers 6th Standards
Future mathematicians learn how to evaluate numerical expressions by applying the order of operations. They evaluate similar-looking expressions to see how the location of parentheses and exponents affects the value. 
Lesson Plan
EngageNY

Exploiting the Connection to Cartesian Coordinates

For Teachers 11th - 12th Standards
Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...
Lesson Plan
National Research Center for Career and Technical Education

Business Management and Administration: Compound Interest - A Millionaire's Best Friend

For Teachers 6th - 12th Standards
Many math concepts are covered through this resource: percentages, decimals, ratios, exponential functions, graphing, rounding, order of operations, estimation, and solving equations. Colorful worksheets and a link to a Google search for...
Lesson Plan
Arizona Department of Education

Introduction to Integers

For Teachers 5th - 7th Standards
Welcome to the backward world of negative numbers. This introductory lesson teaches young mathematicians that negative numbers are simply the opposite of positive numbers as they use number lines to plot and compare...
Lesson Plan
EngageNY

Applying the Properties of Operations to Multiply and Divide Rational Numbers

For Teachers 7th Standards
Use properties to evaluate several multiplications and divisions. The 16th lesson in a series of 25 demonstrates to scholars how they can utilize properties of operations to evaluate complex numerical expressions involving multiplication...
Lesson Plan
EngageNY

Ratios of Fractions and Their Unit Rates

For Teachers 7th Standards
Challenge the class to calculate unit rates using complex fractions. Pupils work through examples of finding unit rates using ratios of fractions. To complete the 11th lesson plan of 22, scholars review sample work and determine whether...
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Alabama Learning Exchange

Imaginary Numbers? What Do You Mean Imaginary?

For Teachers 9th - 12th Standards
Don't worry, this resource actually exists. Scholars learn about imaginary numbers and work on problems simplifying square roots of negative numbers. As an extension, they research the history of imaginary numbers.
eBook
Rice University

Precalculus

For Students 11th - Higher Ed Standards
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
eBook
Rice University

Algebra and Trigonometry

For Students 10th - Higher Ed Standards
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
Lesson Plan
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Constitutional Rights Foundation

Federal Policy and Immigration

For Teachers 9th - 12th Standards
How is federal policy established? To gain insight into this complex and often messy process, class members read an article that uses information on attempts to establish public policy in immigration to illustrate the role proposed...
eBook
Schoolcraft College

Trigonometry

For Teachers 9th - 12th Standards
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...
Lesson Plan
American Psychological Association

Counting Fidgets: Teaching the Complexity of Naturalistic Observation

For Teachers 9th - 12th Standards
Why do psychologists conduct experiments in controlled laboratory settings? High schoolers gain an understanding of the importance of controls with an activity that involves naturalistic observations with no imposed controls.
Lesson Plan
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Google

Beginner 3: Narrowing a Search to Get the Best Results

For Teachers 5th - 8th Standards
Uncover new or more relevant information with the filtering tools in the top navigation bar. First, show your class the tools and demonstrate how to use a few. Next, give class members some time to apply what they have learned. They can...
Lesson Plan
Institute of Electrical and Electronics Engineers

Pendulum Time

For Teachers 3rd - 12th Standards
Take your time with this lesson plan. Junior engineers read about different types of clocks and then work together to build a pendulum time-keeper. There are no hints as to how they might go about accomplishing this complex task, so you...
Lesson Plan
Math12

Conditional Probability

For Students 10th - 12th Standards
Conditional probability can be a confusing concept. A straightforward lesson provides reasonable examples of conditional probability, and models the most effective ways to reinforce the more complex parts of the lesson.
eBook
Rice University

College Algebra

For Students 9th - Higher Ed Standards
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
Lesson Plan
Curated OER

Radiation Comparison Before and After 9-11

For Teachers 9th - 12th Standards
Using the NASA website, class members try to determine if changes could be detected in cloud cover, temperature, and/or radiation measurements due to the lack of contrails that resulted from the halt in air traffic after the attacks...