EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
EngageNY
Factoring Extended to the Complex Realm
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
EngageNY
Complex Numbers as Solutions to Equations
Quadratic solutions come in all shapes and sizes, so help your classes find the right one! Learners use the quadratic formula to find solutions for quadratic equations. Solutions vary from one, two, and complex.
Curated OER
Complex Numbers - Week 5
In this complex numbers worksheet, learners solve problems involving polynomials, real constants containing imaginary numbers, and find the complex number that satisfies a given equation. This two-page worksheet contains seven problems.
Curated OER
Solving Quadratic Equations with Complex Roots
In this quadratic equations worksheet, students solve 10 different equations that include complex roots. First, they solve for the indicated variable and express the roots of the equation in simplest form. Then, students determine the...
Curated OER
Complex Numbers
In this complex numbers worksheet, 9th graders solve 10 different problems that include determining the absolute value of each equation. First, they convert the number to the a+bi form. Then, students select the coefficients for a and b....
Curated OER
Complex Numbers
In this complex numbers activity, 9th graders solve 10 different problems that include addition and subtraction of these numbers. First, they add or subtract the coefficients of similar terms algebraically. Then, students remove the...
Curated OER
Absolute Value
In this absolute value worksheet, students solve 10 different equations that include solving absolute values. First, they determine whether their equation is expressed in the a+bi form. Then, students select the coefficients for a and b....
Curated OER
Irrational and Imaginary Root Theorems
In this irrational and imaginary root theorem worksheet, students identify the number of complex zeros for a given function. They write a polynomial function of leas degree with integral coefficients. This four-page worksheet contains 22...
Mt. San Antonio Collage
Quiz 2: Polynomials
Four questions that get right to the polynomial point. High schoolers list all the attributes of a polynomial function, including finding all complex zeros. The last two questions prompt them to write a function based on the given zeros...
Curated OER
Going Back to Your Roots
Investigate the Fundamental Theorem of Algebra and explore polynomial equations to determine the number of factors, the number of roots, and investigate multiplicity of roots.
Curated OER
Quadratic Equations with Complex Coefficients
Young scholars solve and graph quadratic equations. In this algebra lesson, students perform basic operation using addition, subtraction, multiplication and division. They compute the quadratic formula.
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
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
Alex, Mel, and Chelsea Play a Game
This short probability question may look simple at first, but it is actually quite complex! Learners must understand independent events in context and must take into account several different scenarios. Use as an individual assignment...
EngageNY
Advanced Factoring Strategies for Quadratic Expressions (part 1)
Factoring doesn't have to be intimidating. Build on prior knowledge of multiplying binomials and factoring simple trinomials to teach advanced factoring of quadratic expressions with a lesson that uses various methods of exploring the...
Curated OER
A Whiff of Danger
Public health trainees read and write a summary of the article, "A Whiff of Danger". The article is not available through the link, but can be found on the National Center for Biotechnology Information website. After summarizing,...
Curated OER
Roots, Multiplicities, and Factoring Polynomials
In this polynomials instructional activity, students find zeros, state multiplicities, and factor twenty-two polynomials. Students then find a polynomials that satisfies the stated conditions in eighteen problems, Finally, students...
Curated OER
Estimation
In this estimation worksheet, 6th graders solve and complete 6 different types of problems. First, they explain each answer provided and why it is wrong. Then, students estimate the answer for each expression. They also calculate to find...
EngageNY
Polynomial, Rational, and Radical Relationships
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,...
Curated OER
Polynomials Functions
High schoolers factor polynomials and linear functions and apply concepts of the fundamental theorem of algebra to solve problems. They graph their solutions and analyze the graph.
Curated OER
Matricies: Meadows or Malls?
Students explore the use of matrices and graphing calculators to solve a complex linear programming problem. They test their solutions to determine the best division of land use for the city.
EngageNY
Mid-Module 3 Assessment Task
Time to take a pulse check. The mid-module assessment allows pupils to check where their knowledge falls for the first portion of the module. The 10th resource in a series of 23 covers content from the binomial theorem to hyperbolas....
Curated OER
Quadratic Equations and Binomial Square Theorem
Pupils factor quadratic equations. In this algebra activity, students apply the binomial square theorem to solve quadratics. They complete the square and use the complex number system to solve for the roots.