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Worksheet
Curated OER

Imaginary Unit & Standard Complex Form

For Students 11th - 12th
In this imaginary unit worksheet, students solve quadratic equations. They write fractional expressions in standard form and identify the values of a complex number. Six of the ten problems on this one-page worksheet contain imaginary...
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Worksheet
Curated OER

Twenty-Six Rationalize Imaginary Denominators

For Students 10th - 12th
For this rationalizing denominators worksheet, students rationalize imaginary denominators in twenty-six problems.  Sixteen of the problems have denominators that are monomials and ten binomials.  The solutions are provided.
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Lesson Plan
Curated OER

Arithmetic Complex Numbers

For Teachers 10th - 11th
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.
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Worksheet
Curated OER

Complex and Imaginary Numbers

For Students 11th - 12th
In this complex and imaginary numbers worksheet, students multiply and divide imaginary and complex numbers. They solve equations containing imaginary numbers. Students determine the roots, sum and product of the roots and the roots of...
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Worksheet
Curated OER

Chapter 9 - Objective 3.1 Radicals & Imaginary Numbers

For Students 11th - 12th
In this imaginary numbers worksheet, students solve radical equations containing imaginary numbers. They multiply, divide, subtract and add problems. This one-page worksheet contains ten problems.
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Interactive
Curated OER

Share this page Facebook Page Complex number addition

For Students 9th - 12th
In this online math activity, students practice adding positive and negative integers. When complete, students submit their answers and get instant feedback regarding their accuracy.
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Worksheet
Curated OER

The Two Number Problem

For Students 9th - 12th
In this number problem worksheet, high schoolers solve 1 word problem about squaring numbers.  Students find two different numbers that are equal when they are squared.
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Worksheet
Easy Work Sheet

Easy Worksheets: Number Sets

For Students 9th - 12th Standards
In this number sets worksheet, students solve 6 multiple choice problems. Students determine the number set that the given number belongs to such as whole, integers, rational, real, complex, etc.
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Activity
1
1
Illustrative Mathematics

Complex number patterns

For Teachers 10th - 12th Standards
Start off with the definition of the imaginary number i, then have your class practice simplifying expressions involving powers of i and look for patterns. See how the cyclic nature of powers of i translate to sums of powers of i.
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Lesson Plan
Curated OER

Who am I? Find A Polynomial From Its Roots

For Teachers 9th - 12th
High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...
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Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
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Unit Plan
Mathematics Vision Project

Module 3: Numbers and Operations

For Students 10th - 12th Standards
Bring some concrete reasoning to the skills of multiplying and combining terms. Using various strategies, the six activities in the module provide practice for the skills of adding, subtracting, multiplying, and diving polynomials. The...
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Worksheet
Curated OER

Standard Form

For Students 11th
In this standard form activity, 11th graders solve and complete 25 different types of problems. First, they write the value of each number given using standard form. Then, students add or multiply each given equation and write in...
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Worksheet
Curated OER

Sigma Detectives

For Students 10th - 12th
In this sigma worksheet, students evaluate patterns. They find the sum of the digits in a sequence and write the formula to produce the sequence. This one page worksheet contains four multi-step problems.
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Worksheet
Curated OER

Solving Quadratic Equations by Completing the Square

For Students 9th - 12th
In this solving quadratic equations activity, 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 worksheet, students solve problems about numerous high school topics including trigonometry, algebra, and pre-calculus. This worksheet 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
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

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
1
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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