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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 Analysis: Complex Function

For Students Higher Ed
In this complex function worksheet students identify the derivative of given functions and explore the rules of differentiation. This two-page worksheet contains explanations and examples, followed by ten problems.
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Worksheet
Curated OER

Complex Analysis: Complex Exponential

For Students Higher Ed
In this complex exponential worksheet, students identify an entire function and explore how to show a function is analytic. This two-page worksheet contains four problems, as well as explanations and examples.
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Lesson Plan
Curated OER

Operations of Complex Numbers and Intro to DeMoivre's Theorem

For Teachers 9th - 10th
Students solve problems with complex numbers. In this algebra lesson, students factor complex numbers and simplify equations using DeMoivre's Theorem. They add, subtract, multiply and divide using negative roots.
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Assessment
EngageNY

Mid-Module Assessment Task - Precalculus (module 1)

For Teachers 11th - 12th Standards
Individuals show what they know about the geometric representations of complex numbers and linearity. Seventeen questions challenge them to demonstrate their knowledge of moduli and operations with complex numbers. The assessment is the...
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Assessment
EngageNY

End-of-Module Assessment Task — Precalculus (Module 1)

For Teachers 11th - 12th Standards
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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Lesson Plan
EngageNY

Exploiting the Connection to Trigonometry 1

For Teachers 11th - 12th Standards
Class members use the powers of multiplication in the 19th installment of the 32-part unit has individuals to utilize what they know about the multiplication of complex numbers to calculate the integral powers of a complex number. Groups...
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Lesson Plan
EngageNY

Representing Reflections with Transformations

For Teachers 11th - 12th Standards
In the 16th lesson plan in the series of 32 the class uses the concept of complex multiplication to build a transformation in order to reflect across a given line in the complex plane. The lesson plan breaks the process of reflecting...
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Lesson Plan
EngageNY

Ratios of Fractions and Their Unit Rates 2

For Teachers 7th Standards
Remodeling projects require more than just a good design — they involve complex fractions, too. To determine whether a tiling project will fit within a given budget pupils calculate the square footage to determine the number of tiles...
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Instructional Video7:11
HeyMath!

Volume of Pyramid

For Teachers 6th - 11th Standards
Go beyond the basic formulas and uncover the surface area and volume of 3-D shapes with this comprehensive and organized worksheet packet. The problems include the basic formula computations while also challenging your learners to derive...
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Worksheet
Curated OER

Calculus Assignment #1: Integrals

For Students 10th - 12th
In this calculus worksheet, students evaluate given integrals. Problems contain exponents, square roots, and complex fractions. This two-page worksheet contains 16 multi-step problems. Answers are provided on page two.
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Worksheet
Curated OER

Calculus Assignment #5: Integrals

For Students 11th - 12th
In this calculus assignment worksheet, students evaluate given integrals. Problems contain square roots, complex fractions, and exponents. This two-page worksheet contains 14 problems. Answers are provided on page two of the worksheet.
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PPT
Curated OER

Alcohols Revisited (and Ethers) and Going Further... Carboxylic Acids and Their Derivatives

For Teachers 7th - 12th
Identifying characteristics of alcohols and their physical properties are reviewed in bullet-point fashion on the first two slides. The same material follows, but for ethers. Finally, the structure and naming of carboxylic acids and...
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Worksheet
Curated OER

Complex Analysis: Function

For Students Higher Ed
In this function worksheet, students evaluate problems involving functions, identify the domain and range of functions, and complete inversion mapping. This two-page worksheet contains approximately twelve problems.
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Lesson Plan
EngageNY

Matrix Multiplication Is Not Commutative

For Teachers 11th - 12th Standards
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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Lesson Plan
EngageNY

Solving Radical Equations

For Students 10th - 12th Standards
Learners solve complex radical equations. Solutions vary from one, two, and none, allowing pupils to gain experience solving a variety of problems.
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Lesson Plan
EngageNY

Base Angles of Isosceles Triangles

For Students 9th - 10th Standards
Build confidence in proofs by proving a known property. Pupils explore two approaches to proving base angles of isosceles triangles are congruent: transformations and SAS. They then apply their understanding of the proof to more complex...
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eBook
Rice University

Precalculus

For Students 11th - Higher Ed Standards
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
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Lesson Plan
EngageNY

Completing the Square (part 2)

For Students 9th - 10th Standards
Give classes confidence in completing the square with a resource that develops the process of completing the square of more complex problems, including fractions and values greater than one. It then uses quadratic modeling for profit and...
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Worksheet
Curated OER

Complex Analysis: Cauchy's Integral Formula and Integral Examples

For Students Higher Ed
In this integral formula worksheet, students examine Cauchy's formula and higher derivatives of analytic functions. They use this provided information to solve eight problems.
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Worksheet
Curated OER

Complex Analysis: Analyticity and the Cauchy-Riemann Equation

For Students Higher Ed
In this analyticity and Cauchy-Riemann worksheet, students determine the domain of a function, explore its derivatives, and list its component functions. This two-page worksheet contains eleven problems, as well as explanations and...
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Worksheet
Curated OER

Complex Analysis: Theorems Following Cauchy's Integral Formulas

For Students Higher Ed
In this integral formula, students explore how theorems are derived. They write proofs supporting Cauchy's Inequality, Liouville's Theorem, the Fundamental Theorem of Algebra, Gauss' Mean Value Theorem and Cauchy's Residue Theorem. ...
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Worksheet
Curated OER

Complex Analysis: Cauchy-Reimann Equations

For Students Higher Ed
In this Cauchy-Riemann equation worksheet, students derive the Cauchy-Riemann equations by using the definition of the derivative function. This two-page worksheet contains seven problems.
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Worksheet
Curated OER

Complex Analysis: Independence of Path

For Students Higher Ed
In this independence of path activity, students evaluate contour integrals using anti-derivatives and the Cauchy-Goursat Theorem. This two-page activity contains four problems.