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Worksheet
Curated OER

Solving Quadratic Equations by Completing the Square

For Students 9th - 12th
In this solving quadratic equations worksheet, students complete the square to tell the possible answers for 18 equations. 4 answers involve the square root of -1 (i).
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Worksheet
Curated OER

Mathematics B: High School Exam

For Students 11th - 12th
In this mathematics activity, students solve problems about numerous high school topics including trigonometry, algebra, and pre-calculus. This activity contains, but is not limited to, radicals, inverse functions, transformations, and...
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Lesson Plan
Curated OER

Precalculus Pretest

For Teachers 9th - 11th
Students complete a pretest as practice for their review. In this precalculus lesson, students find the distance between points and the trigonometric identity of the sine, cosine and tangent. They solve problems using complex and...
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Lesson Plan
Virginia Department of Education

Quadratic Equations

For Teachers 9th - 12th
Review the multiple methods of solving quadratic equations through an analysis of the discriminant. Scholars use the discriminant to determine the best solution method and then solve various equations. As a challenge, learners build...
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Lesson Plan
1
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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

Cutting Corners - Parts 1 and 2

For Teachers 9th - 12th
Students use optimization concepts to design their own container. In this optimization lesson plan, students understand how the optimization concept is critical in calculus and why products are packaged the way they are.
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Lesson Plan
1
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Curated OER

Graphing at all Levels: It's a Beautiful Thing!

For Teachers 8th - 12th Standards
Mixing math and art is done in this lesson by applying graphing knowledge to create a unique piece of art. This lesson varies acording to the graphing knowledge of the artist. First, learners identify and review various types of graphing...
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Lesson Plan
Curated OER

Monthly Cost of Living - Food

For Teachers 4th - 7th
Students determine how much they would need to feed a family for a month. They plan meals and use Internet grocery stores to find the cost of individual food items. They brainstorm in small groups to come up with 1 weeks worth of menus.
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Unit Plan
Cuemath

Cuemath: Complex Numbers

For Students 9th - 10th Standards
A comprehensive guide for learning all about complex numbers with definitions, operations on complex numbers, solved examples, and practice questions.
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Handout
Purple Math

Purplemath: Complex Numbers: Introduction

For Students 9th - 10th Standards
This website provides an in-depth lesson on complex numbers. You learn about simplifying, adding, and multiplying complex numbers by viewing example problems that are worked through step-by-step. Continue on to pages 2 and 3 which...
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Handout
Clark University

Clark University: Dave's Short Trig Course: Complex Numbers: Absolute Value

For Students 9th - 10th Standards
Contains detailed information on absolute values for complex numbers.
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Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Complex Numbers

For Students 9th - 10th Standards
Use this tutorial to learn what imaginary and complex numbers are, how to write them, and how to perform operations with them. Offers step-by-step examples, video explanations of the examples, and practice questions with answers.
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Unit Plan
Oswego City School District

Regents Exam Prep Center: Complex Numbers

For Teachers 9th - 10th Standards
A wealth of material to help you plan classroom instruction on complex numbers: several lessons that cover the number i, square roots of negative numbers, and operations involving complex numbers; practice activities, some of which...
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Activity
Oswego City School District

Regents Exam Prep Center: Absolute Value of Complex Numbers

For Students 9th - 10th Standards
This tutorial presents the absolute value of complex numbers using formulas, graphs, and examples. There are practice problems and a teacher resource page to assist students in understanding the concept.
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Handout
Interactive Mathematics

Interactive Mathematics: Complex Numbers: Basic Definitions

For Students 9th - 10th Standards
After reviewing the process of solving quadratic and cubic equations, a definition of an imaginary number is given. Also included is a demonstration of simplifying powers of the imaginary number and writing complex numbers. Examples are...
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Unknown Type
Khan Academy

Khan Academy: Parts of Complex Numbers

For Students 9th - 10th Standards
Determine the real and the imaginary parts of complex numbers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Unit Plan
CK-12 Foundation

Ck 12: Complex Numbers

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers the powers of i, and adding and subtracting complex numbers, as well as how to plot them in the complex plane. Students examine guided notes,...
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Unknown Type
Khan Academy

Khan Academy: Parts of Complex Numbers

For Students 9th - 10th Standards
Determine the real and the imaginary parts of complex numbers.
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eBook
CK-12 Foundation

Ck 12: 1.5 From Quadratics to Complex Numbers

For Students 9th - 10th Standards
This section introduces imaginary and complex numbers in the context of solutions to quadratic equations that don't have real-number solutions.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Products and Quotients of Complex Numbers

For Students 11th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson, students calculate the products and quotients of complex numbers, identifying conjugates. Students examine guided notes, review guided practice,...
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Unit Plan
CK-12 Foundation

Ck 12: Complex Numbers

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] A collection of resources that explain complex numbers and how to do arithmetic with them.
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Unit Plan
Khan Academy

Khan Academy: Multiply & Divide Complex Numbers in Polar Form

For Students 10th - 12th Standards
Given two complex numbers in polar form, find their product or quotient. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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eBook
Math Planet

Math Planet: Algebra 2: Complex Numbers

For Students 9th - 10th Standards
Provides an explanation, examples, and a video lesson all related to complex numbers.
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Handout
Math Open Reference

Math Open Reference: Complex Numbers

For Students 9th - 10th Standards
Explore complex numbers with this easy reference guide. Learn that complex numbers lie on a two-dimensional flat plane and have two components called the real and imaginary parts. Provides definitions and interactive activities that...

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