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Worksheet
Curated OER

Radicals and the Irrational Numbers

For Students 9th - 10th
In this Integrated Algebra worksheet, learners differentiate between rational and irrational numbers and locate irrational numbers on a number line.  The one page worksheet contains six problems.  Answers are provided. 
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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...
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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...
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Activity
1
1
Illustrative Mathematics

Computations with Complex Numbers

For Teachers 9th - 12th Standards
This quick set of problems provides a brief refresher on the arithmetic of complex numbers. Learners need to multiply, add and subtract, and remember features of i when raised to a power. Included solutions are clear enough that learners...
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Lesson Plan
Curated OER

Iterating the Function over Real Numbers

For Teachers 8th - 10th
Students use a spreadsheet to find sequences of numbers. In this algebra lesson, students find the values for c of a quadratic written in standard form. They relate the behavior of the graph to the values of the equation.
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Worksheet
Kuta Software

Imaginary Numbers

For Students 9th - 12th Standards
Here is a worksheet that takes all aspects of quadratic functions and incorporates imaginary numbers into the problems. The problems range from simplifying to graphing and solving by using a variety of methods with imaginary and complex...
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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...
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Lesson Plan
Alabama Learning Exchange

Complex Numbers Solutions

For Students 9th - 12th Standards
Complex doesn't have to mean harder! Learners experiment with online software to determine the quadratic equations with complex solutions. They use the quadratic formula to solve equations with both real and complex solutions.
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Lesson Plan
EngageNY

Extending the Domain of Sine and Cosine to All Real Numbers

For Students 10th - 12th Standards
Round and round we go! Pupils use reference angles to evaluate common sine and cosine values of angles greater than 360 degrees. Once they have mastered the reference angle, learners repeat the process with negative angles.
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Lesson Plan
Willow Tree

Patterns - Numbers, Shapes, etc.

For Students 8th - 11th Standards
Find the pattern is the name of the game! Learners examine different patterns represented by numbers, shapes, and words. They must describe the pattern, predict the result in a given position, and find an equation that represents a...
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Lesson Plan
Curated OER

Real and Complex Conjugates

For Teachers 8th - 9th
Students explore examples of real binomial conjugates involving the square root of negative one. In a class setting, students study examples of complex conjugates and work given problems. They play "Find My Conjugate" game where real and...
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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...
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Lesson Plan
Curated OER

Imaginary Numbers

For Teachers 11th
In this Algebra II worksheet, 11th graders explain how every real number is also a complex number.  The one page worksheet contains one problem with solution. 
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Unit Plan
2
2
Mathematics Vision Project

Quadratic Equations

For Teachers 10th - 12th Standards
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
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Activity
Fall River Schools

Parabolas Are All Around Us

For Students 9th - 12th Standards
Moving parabolas off of graph paper and into the real world is the task at hand in this detailed poster project. First, learners perform a cumulative activity identifying many characteristics of an assigned quadratic equation. Next, they...
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Worksheet
Curated OER

Computation with Real and Complex Numbers

For Students 9th - 12th Standards
In this computation with real and complex numbers instructional activity, students use addition, subtraction, multiplication and division to solve 26 problems with complex numbers to win a bingo game.
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Worksheet
Curated OER

Quaternions

For Students 11th - 12th
In this quaternions worksheet, students solve and complete 7 different problems. First, they read and identify quaternions as expressions in a given form of ordinary real numbers. Then, students add and subtract a few problems by doing...
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Lesson Plan
1
1
EngageNY

Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?

For Students 10th - 12th Standards
Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra. 
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Lesson Plan
Curated OER

Slope, Vectors, and Wind Pressure

For Teachers 9th - 11th
A hands-on lesson using the TI-CBR Motion Detector to provide information to graph and analyze. The class uses this information to calculate the slope of motion graphs and differentiate scalar and vector quantities. There is a real-world...
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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....
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Worksheet
Curated OER

Giant Difference of Squares

For Students 11th
In this algebra worksheet, 11th graders calculate the sum of squares of all real numbers that satisfy an equation. An answer key is provided.
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Lesson Plan
EngageNY

Linear Transformations Review

For Teachers 11th - 12th Standards
Time for matrices and complex numbers to come together. Individuals use matrices to add and multiply complex numbers by a scalar. The instructional activity makes a strong connection between the operations and graphical transformations.
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Interactive
Shodor Education Foundation

Two Variable Function Pump

For Students 9th - 12th Standards
Use a function to operate on two variables. Pupils look at operating with complex numbers as a function of two variables. The interactive squares the input and adds a constant to it. Learners visualize the resulting output and its...
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Worksheet
Curated OER

Radical Has Real Values

For Students 9th - 11th
In this algebra worksheet, students find all the real numbers for a radical equation. They verify that radicals have real numbers. There is an answer key.

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