Curated OER
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.
Virginia Department of Education
Quadratic Equations
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...
EngageNY
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....
Curated OER
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...
Curated OER
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.
EngageNY
Solving Quadratic Equations by Completing the Square
Many learners find completing the square the preferred approach to solving quadratic equations. Class members combine their skills of using square roots to solve quadratics and completing the square. The resource incorporates a variety...
Mt. San Antonio Collage
Quiz 1: Types of Functions
Sometimes the best things are already done for you! Here is a six-problem quiz that has a variety of problems ranging from solving quadratic equations to interpreting a function. The piece-de-resistance is the worked out answer key in...
Curated OER
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...
Curated OER
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...
Curated OER
Equations and Inequalities
Students in a college algebra class use graphs to solve inequalities. Using the coordinate graphing system, they represent the relationship between x and y intercepts. They practice solving equations with complex numbers and locate...
Curated OER
Graphing Linear Equations
Ninth graders review the information that they have already learned
with regard to linear equations and graphical representations. They then assist in combining equations with a graphical element and complete various graphs with this...
Curated OER
Complex Analysis: Polynomial Equations
In this polynomial equations learning exercise, students evaluate roots and draw vector representations. This three-page learning exercise contains four problems.
Curated OER
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.
Illustrative Mathematics
Sammy's Chipmunk and Squirrel Observations
Here is a fun project. Sammy observes a chipmunk and a squirrel to see how many holes each needs in order to stash the same number of acorns. Scholars could find the answer algebraically or create a table to analyze the problem in...
Curated OER
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...
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
Solving Quadratic Equations by Completing the Square
In this solving quadratic equations worksheet, high schoolers complete the square to tell the possible answers for 18 equations. 4 answers involve the square root of -1 (i).
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,...
Illustrative Mathematics
Chocolate Bar Sales
In this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...
Curated OER
20 Tickets
A great hands-on activity involving adding and subtracting, beginner mathematicians determine how many games can be played with 20 tickets. Instead of tickets, youngsters use 20 counters or linking cubes to represent the amount of...
Curated OER
Complex and Imaginary Numbers
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...
Curated OER
Quadratic Formula with Imaginary Numbers
In this quadratic equation worksheet, students use the quadratic formula to solve 6 fill in the blank problems that involve imaginary numbers.
Curated OER
Chapter 9 - Objective 3.1 Radicals & Imaginary Numbers
In this imaginary numbers learning exercise, learners solve radical equations containing imaginary numbers. They multiply, divide, subtract and add problems. This one-page learning exercise contains ten problems.
Rice University
Intermediate Algebra
Algebra concepts are all wrapped up in one nice bow. The resource combines all the concepts typically found in Algebra I and Algebra II courses in one eBook. The topics covered begin with solving linear equations and move to linear...