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
Curated OER

#### Powers and Roots of Complex Numbers

For Teachers 9th - 12th Standards
Explore a few powers of complex numbers numerically and decide if there is a pattern and use parametric equations to represent a complex number graphically. Use De Moivre's theorem to represent the roots of the complex number...
Lesson Plan
EngageNY

#### Discovering the Geometric Effect of Complex Multiplication

For Teachers 11th - 12th Standards
Does complex number multiplication have the class spinning? Here's a resource that helps pupils explore and discover the geometric effect of multiplying complex numbers. In the 14th installment in the 32-part unit groups look at the unit...
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 plan 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...
Lesson Plan
Ohio Department of Education

#### The Solution is Complex

For Teachers 9th - 12th Standards
Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....
Activity
1
1
Curated OER

#### Complex Distance

For Teachers 10th - 12th Standards
Have learners graph complex numbers to gain a visual and mathematical understanding of the distance and the midpoint between two complex numbers. This lesson is short, but to the point, and addresses an important complex number concept....
Lesson Plan
EngageNY

#### Trigonometry and Complex Numbers

For Teachers 11th - 12th Standards
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...
Lesson Plan
EngageNY

#### An Appearance of Complex Numbers 2

For Teachers 11th - 12th Standards
Help the class visualize operations with complex numbers with a lesson plan that formally introduces complex numbers and reviews the visualization of complex numbers on the complex plane. The fifth installment of a 32-part series reviews...
Handout
Thomson Brooks-Core

#### Complex Numbers

For Students 10th - 12th
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...
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
EngageNY

#### Exploiting the Connection to Trigonometry 2

For Teachers 11th - 12th Standards
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...
Unit Plan
EngageNY

#### Complex Numbers and Transformations

For Teachers 11th - 12th Standards
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...
Lesson Plan
EngageNY

#### Complex Numbers as Solutions to Equations

For Students 10th - 12th Standards
Quadratic solutions come in all shapes and sizes, so help your classes find the right one! Learners use the quadratic formula to find solutions for quadratic equations. Solutions vary from one, two, and complex.
Worksheet
Curated OER

#### Complex Numbers

For Students 10th - 12th
In this complex numbers instructional activity, learners write numbers in standard form.  They identify real, imaginary and complex numbers.  Students find the absolute value and conjugate of a number.  This two-page instructional...
Worksheet
Curated OER

#### Complex Number

For Students 8th - 10th
In this algebra worksheet, students identify the vertex of a quadratic functions. They identify complex numbers. There are 6 questions.
Lesson Plan
Illustrative Mathematics

#### Voting for Three, Variation 1

For Teachers 5th - 7th Standards
This is an opportunity for young mathematicians to apply reasoning to solve real-world problems with ratios. Even though there are three candidates for class president, students will only consider two at a time, making the first problem...
Lesson Plan
Curated OER

#### Super Shapes Part 2 - Circles

For Teachers 5th - 6th
Through the use of Internet, video, and hands-on activities, youngsters learn the parts and characteristics of a circle. This fantastic lesson has some excellent website activities included in the plan. Your kids will have a much greater...
Worksheet
Curated OER

#### Complex Numbers

For Students Higher Ed
In this complex numbers worksheet, students simplify 9 problems involving the addition, subtraction, multiplication, and division of complex numbers.
Lesson Plan
EngageNY

#### Wishful Thinking—Does Linearity Hold? (Part 1)

For Teachers 11th - 12th Standards
Not all linear functions are linear transformations — show your class the difference. The first lesson plan in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations...
Lesson Plan
1
1
Illustrative Mathematics

For Teachers 3rd - 5th Standards
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...
Lesson Plan
EngageNY

#### Obstacles Resolved—A Surprising Result

For Students 10th - 12th Standards
The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors.
Lesson Plan
1
1
Baylor College

#### Living Things and Their Needs: The Math Link

For Teachers K - 3rd Standards
Enrich your study of living things with these cross-curricular math activities. Following along with the story Tillena Lou's Day in the Sun, learners will practice addition and subtraction, learn how to measure volume and length, work on...
Assessment
Inside Mathematics

#### Conference Tables

For Teachers 9th - 12th Standards
Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and use them to...
Lesson Plan
1
1
NASA

#### Ascent: 50 Seconds to MECO

For Teachers 9th - 12th Standards
All systems go! With a video and a Google Earth tour as background, pairs investigate two graphs. The graphs display acceleration vs. time and velocity vs. time of a space shuttle launch. Using graphing calculators, the pairs take a...