Curated OER
Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
Curated OER
Complex Analysis: Complex Function
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.
Curated OER
Complex Analysis: Complex Exponential
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.
Curated OER
Operations of Complex Numbers and Intro to DeMoivre's Theorem
Students solve problems with complex numbers. For this algebra lesson, students factor complex numbers and simplify equations using DeMoivre's Theorem. They add, subtract, multiply and divide using negative roots.
EngageNY
Mid-Module Assessment Task - Precalculus (module 1)
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...
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,...
EngageNY
Exploiting the Connection to Trigonometry 1
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...
EngageNY
Representing Reflections with Transformations
In the 16th lesson 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 breaks the process of reflecting across a line...
EngageNY
Ratios of Fractions and Their Unit Rates 2
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...
HeyMath!
Volume of Pyramid
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...
Curated OER
Calculus Assignment #1: Integrals
In this calculus instructional activity, students evaluate given integrals. Problems contain exponents, square roots, and complex fractions. This two-page instructional activity contains 16 multi-step problems. Answers are provided on...
Curated OER
Calculus Assignment #5: Integrals
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.
Curated OER
Alcohols Revisited (and Ethers) and Going Further... Carboxylic Acids and Their Derivatives
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...
Curated OER
Complex Analysis: Function
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.
EngageNY
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...
EngageNY
Solving Radical Equations
Learners solve complex radical equations. Solutions vary from one, two, and none, allowing pupils to gain experience solving a variety of problems.
EngageNY
Base Angles of Isosceles Triangles
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...
Rice University
Precalculus
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...
EngageNY
Completing the Square (part 2)
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...
Curated OER
Complex Analysis: Cauchy's Integral Formula and Integral Examples
In this integral formula activity, students examine Cauchy's formula and higher derivatives of analytic functions. They use this provided information to solve eight problems.
Curated OER
Complex Analysis: Analyticity and the Cauchy-Riemann Equation
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...
Curated OER
Complex Analysis: Theorems Following Cauchy's Integral Formulas
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. ...
Curated OER
Complex Analysis: Cauchy-Reimann Equations
In this Cauchy-Riemann equation activity, students derive the Cauchy-Riemann equations by using the definition of the derivative function. This two-page activity contains seven problems.
Curated OER
Complex Analysis: Independence of Path
In this independence of path instructional activity, students evaluate contour integrals using anti-derivatives and the Cauchy-Goursat Theorem. This two-page instructional activity contains four problems.