EngageNY
Complex Number Division 1
Conjugating in the math classroom — and we're not talking verbs! The seventh lesson in a series of 32 introduces the class to the building blocks of complex number division. During the instruction, the class learns to find the...
Curated OER
Complex Sentences Made Easy
Take the complexity out of writing complex sentences. Young writers practice taking two ideas and putting them together to make a complex sentence. Create a list of subordinating conjunctions to help each individual make better sentences.
Curated OER
Complex Numbers
Learners are introduced to the concept of imaginary unit and complex numbers. They are taught how to add and subtract complex numbers. Students define a complex number. They comprehend at least two applications of complex numbers....
Curated OER
Powers and Roots of Complex Numbers
Explore a few powers of complex numbers numerically and decide if there is a pattern and use parametric equations to represent a complex number graphically. Use De Moivre's theorem to represent the roots of the complex number...
Alabama Learning Exchange
Classifying Complex Numbers
Imaginary numbers are a real thing. Scholars learn about complex numbers, real numbers, and imaginary numbers. They classify given numbers as strictly complex, strictly real, or strictly imaginary in an individual or group activity.
Ohio Department of Education
The Solution is Complex
Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....
Texas Instruments
Complex Numbers: Plotting and Polar Form
Explore the concept of, and use the Ti-Nspire to, convert complex numbers into polar form. Then practice graphing complex numbers in the polar coordinate plane.
Curated OER
Review of Compound and Complex Sentences
An excellent language arts worksheet. Learners read seven sentences and determine if each is simple, compound, or complex. In order to practice sentence combining, young writers join 10 sets of sentences to form compound sentences, and...
Curated OER
Simplifying Complex Rational Expressions
Here is a practice worksheet that contains 16 problems on simplifying complex fractions. The problems start out basic and gradually be come more complex. There is an example included with two different solution methods shown.
Curated OER
Compound and Complex Sentences
Does your class need to work on compound and complex sentences? Consider this learning exercise! This fine learning exercise has learners use connecting words to join 8 sentences, so that simple sentences become compound and complex...
Collaborative Learning Project
Simple to Complex Sentences
Such a creative game idea, this activity might actually make grammar fun! Learners play a modified game of connect-four by identifying the grammatical name for different words and phrases and then working them into simple sentences to...
Curated OER
Complex Numbers
The class practices, on paper and/or on a TI graphing calculator the concepts of how to add, multiply, divide and subtract complex numbers using the correct property.
Curated OER
Creating Complex Sentences
Here is an excellent presentation on creating complex sentences. Young writers discover that a complex sentence is a sentence that joins two or more sentences together. There are many ways for these types of sentences to be constructed,...
Curated OER
Complex Sentences: Sentence Combining
Set up your learners to become master sentence combiners with this sentence combining instructional activity! There are 3 columns on this resource. Writers merge simple sentences from the first column and second column using the clue...
EngageNY
An Appearance of Complex Numbers 2
Help the class visualize operations with complex numbers with a lesson that formally introduces complex numbers and reviews the visualization of complex numbers on the complex plane. The fifth installment of a 32-part series reviews the...
EngageNY
Distance and Complex Numbers 1
To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...
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...
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...
EngageNY
Distance and Complex Numbers 2
Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th lesson in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a formula to find...
University of Texas
Complex Numbers
Are complex numbers and binomials similar? This stack of slides provides an introduction to complex numbers and shows how to operate with them. The worked examples show a connection between operating with binomials and operating with...
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
An Appearance of Complex Numbers 1
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
EngageNY
Justifying the Geometric Effect of Complex Multiplication
The 14th activity in the unit has the class prove the nine general cases of the geometric representation of complex number multiplication. Class members determine the modulus of the product and hypothesize the relationship for the...
Virginia Department of Education
Complex Numbers
Build on your class' understanding of real numbers as they begin working with complex numbers. Pupils begin with an exploration of i and the patterns in the powers of i. After developing a definition for i, they simplify complex number...
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