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Introduction to Complex Numbers
In this complex number instructional activity, students explore the properties of imaginary numbers to find the square roots of negative numbers. Explanations and examples are given prior to the exercise. This two-page instructional...
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.
EngageNY
The Geometric Effect of Some Complex Arithmetic 2
The 10th lesson in a series of 32, continues with the geometry of arithmetic of complex numbers focusing on multiplication. Class members find the effects of multiplying a complex number by a real number, an imaginary number, and another...
EngageNY
Obstacles Resolved—A Surprising Result
The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors.
EngageNY
The Geometric Effect of Some Complex Arithmetic 1
Translating complex numbers is as simple as adding 1, 2, 3. In the ninth lesson in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads pupils into what it...
Illustrative Mathematics
How Many Cells Are in the Human Body?
Investigating the large numbers of science is the task in a simple but deep activity. Given a one-sentence problem set-up and some basic assumptions, the class sets off on an open-ended investigation that really gives some context to all...
Illustrative Mathematics
Logistic Growth Model, Abstract Version
Here learners get to flex some serious algebraic muscles through an investigation of logistic growth. The properties of the constant terms in the logistic growth formula are unraveled in a short but content-dense activity. Moving...
EngageNY
Complex Number Division 2
Individuals learn to divide and conquer complex numbers with a little help from moduli and conjugates. In the second lesson on complex number division, the class takes a closer look at the numerator and denominator of the multiplicative...
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.
Kuta Software
Properties of Complex Numbers
In this worksheet, students evaluate complex (signed and imaginary) numbers. In addition, they are asked to graph complex numbers as well as identify a complex number on a presented graph.
Curated OER
Sixty-Eight Solving Equations and Performing Operations With Complex Numbers
In this complex numbers worksheet, students classify numbers, perform operations on complex numbers, and find complex solutions to equations, in sixty-eight problems.
Curated OER
Algebra II Test covering Radicals, Complex Numbers, and Finding Roots of Quadratics
In this algebra two worksheet, students solve twenty-five problems in test format. The worksheet covers radicals, complex numbers, and finding roots of quadratics.
Curated OER
Videobusters
A real-world scenario, Videobusters, a video rental store has just got to get organized. In small groups, the class works on organizing and analyzing data utilizing matrices. They need to use their skills in adding, subtracting and...
Illustrative Mathematics
Operations with Rational and Irrational Numbers
Learners complete addition and multiplication tables that include rational and irrational numbers. They also answer a series of questions about the sums and products of irrational and rational numbers. One suggested modification would be...
Curated OER
Hey, Pythagoras! Help Me Understand Your Theorem!
Learners explore the Pythagorean Theorem. For this math lesson, pupils solve problems using the Pythagorean Theorem. They select the appropriate numbers to substitute in the formula to solve problems.
Curated OER
Your Father
Your learners will explore the idea that not all functions have real numbers as domain and range values as seen in this real-life context. Secondly, the characteristics required for a function to have an inverse are explored including...
Curated OER
Exercise Set 5.1: Trigonometric Functions of Real Numbers
In this trig functions worksheet, students find the trig values of 46 problems. Students find the trig values of various radian measures. Students use trig properties to prove trig identities.
Curated OER
Real Life Algebra
Learners investigate where in their everyday life math is used. In this algebra lesson, students describe linear transformation as it relates to business and sales. They relate area and perimeter to their yard or garden, as well as...
Curated OER
Integers
In this integers learning exercise, learners solve 10 different problems relating to integers. First, they use the roster method to write each set of even integers. Then, students use set builder notation to write the set of negative...
Curated OER
Algebra Worksheet: Number systems
This worksheet was originally created for a college level algebra class. It does contain some interesting questions about number and quantity that are important for algebra learners to understand. Natural numbers, integers, rational,...
Curated OER
Complex Distance
Have learners graph complex numbers to gain a visual and mathematical understanding of the distance and the midpoint between two complex numbers. This lesson is short, but to the point, and addresses an important complex number concept....
Curated OER
Radical Expressions
In this radical expressions worksheet, 11th graders solve and complete 55 various types of problems. First, they find the function value in each expression. Then, students simplify, assuming that variables represent real numbers. In...
EngageNY
Matrix Notation Encompasses New Transformations!
Class members make a real connection to matrices in the 25th part of a series of 32 by looking at the identity matrix and making the connection to the multiplicative identity in the real numbers. Pupils explore different matrices and...
EngageNY
A Surprising Boost from Geometry
Working with imaginary numbers — this is where it gets complex! After exploring the graph of complex numbers, learners simplify them using addition, subtraction, and multiplication.
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