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Practice With Complex Fractions
In this math worksheet, students find the solutions to the complex fractions. They practice finding the common denominators for each part of the rational expression.
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Real and Complex Conjugates
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...
EngageNY
End-of-Module Assessment Task — Precalculus (Module 1)
A transformational assessment determines how far pupils are advancing toward mastering complex and matrix standards. The assessment checks the learners' understanding of linear transformations, complex numbers and the complex plane,...
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Roots of Unity
Visualize the nth roots of unity. Pupils calculate the nth roots of unity and find all n roots. Learners plot the solutions in the complex plane and observe that they are the vertices of a regular n-gon inscribed in the unit circle....
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More Complex Fraction Problems
If your fifth graders have mastered fractions, push them to the next level! They multiply fractions by whole numbers and decimals (in the form of money math). The worksheet provides space for pupils to write out their work, based on two...
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Dividing Larger Numbers
As math scholars begin taking on more complex division problems, it's time to cover the different ways to show remainders. Here, they complete eight long-division equations with a fraction remainder and then eight more with a unit...
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Iterating the Function and Complex Numbers
Students identify the end behavior of polynomial graphs. In this algebra lesson, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of an equation.
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Putting Numbers in Order
Can your second graders put these 2 and 3-digit numbers in order from least to greatest? Fifteen sets of four numbers help them practice their place value, as well as their ordering skills. A great way to get them ready for more complex...
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Express Whole Numbers as Fractions
Show examples of fractions in the real world to help scholars grasp this complex concept. Because there is only one word problem here with an answer detailed below, this is ideal as an all-class warm up. Learners examine an image of a...
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Complex Number Subtraction
In this subtraction worksheet, students find the difference of complex numbers. This one-page worksheet contains 10 problems. Answers are provided.
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Complex Number Division
In this online math learning exercise, high schoolers practice complex number division using positive and negative integers. When complete, students submit their answers and get instant feedback regarding their accuracy.
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Quaternions
For 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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Matrix Multiplication Is Not Commutative
Should matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...
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Math in English Skills IX Exercise Book
Wouldn't it be great if you had a packet of worksheets that covered percents, adding, dividing, and comparing fractions and decimals? Click here and print a workbook with over 20 well-scaffolded pages that will help your class practice...
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Order in the Classroom
First graders define and identify integers, rational, irrational, real, and complex numbers. They place number cards in ascending and descending order.
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Complex Analysis: Polynomial Equations
For this polynomial equation worksheet, students explore real fractional powers of complex numbers. This three-page worksheet contains examples, explanations and approximately seven problems.
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Steady-State Circuit Analysis & Filter Design
Scholars identify how the TI-89 implements phasors to perform sinusoidal steady-state analysis. The focus is on how to enter and display complex numbers. They also show how a typical steady-state application how to use the Numeric Solver...
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Complex Roots: A Graphical Solution
Using their Ti-Nspire to determine the solutions of parabolas, students explore the concept of complex roots. Students determine if parabolas have real or complex roots. Students determine the the axis of symmetry and the vertex given...
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Numbers Beyond Reason!
Fourth graders use the story of the discovery of irrational numbers to explore the different classes of numbers, the different ways in which numbers may be represented, and how to classify different numbers into their particular class.
Easy Work Sheet
Name the Property
In this property learning exercise, students examine given problems containing complex numbers. They identify the property used in the problem. This one-page learning exercise contains 10 problems.
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Complexity
Students perform mathematical operations on complex numbers. After a lecture/demo, students utilize a worksheet imbedded in this plan to gain practice performing operations on complex numbers.
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Arithmetic Complex Numbers
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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Imaginary Unit & Standard Complex Form
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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Imaginary Numbers
In this Algebra II worksheet, 11th graders solve problems that involve determine the value of expression involving the imaginary unit. The one page worksheet contains three multiple choice questions. Answers provided.
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