Lesson Plan
EngageNY

Trigonometry and Complex Numbers

For Teachers 11th - 12th Standards
Complex numbers were first represented on the complex plane, now they are being represented using sine and cosine. Introduce the class to the polar form of a complex number with the 13th part of a 32-part series that defines the...
Lesson Plan
Curated OER

Complex Numbers and Operations

For Teachers 8th - 10th
In this algebra worksheet, students add, subtract and multiply using complex numbers. They apply the correct property of i as they solve. There are ten questions with an answer key.
Lesson Plan
EngageNY

Exploiting the Connection to Trigonometry 2

For Teachers 11th - 12th Standards
The class checks to see if the formula for finding powers of a complex number works to find the roots too.  Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about...
Lesson Plan
EngageNY

Exploiting the Connection to Trigonometry 1

For Teachers 11th - 12th Standards
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...
Worksheet
Curated OER

Complex Numbers

For Students 9th
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....
Worksheet
Curated OER

Complex Numbers

For Students 9th
In this complex numbers worksheet, 9th graders solve 10 different problems related to various complex numbers. First, they multiply and divide various types of complex numbers. Then, students determine the multiplicative inverse of each...
Worksheet
Curated OER

Complex Numbers

For Students 9th
In this complex numbers activity, 9th graders solve and graph 10 different problems that include various complex numbers. First, they represent each of the problems shown as complex numbers graphically. Then, students graphically add and...
Worksheet
Curated OER

Complex Numbers

For Students 9th
In this complex numbers worksheet, 9th graders solve 10 different problems that include either adding or subtracting complex numbers. First, they determine the sum of the real components. Then, students determine the sum of the imaginary...
Lesson Plan
Curated OER

Imaginary Numbers

For Teachers 11th
In this Algebra II worksheet, 11th graders explain how every real number is also a complex number.  The one page worksheet contains one problem with solution. 
Worksheet
Curated OER

Solving Quadratic Equations with Complex Roots

For Students 8th - 9th
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...
Worksheet
Curated OER

Imaginary Unit & Standard Complex Form

For Students 11th - 12th
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...
Worksheet
Curated OER

Absolute Value

For Students 11th - 12th
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....
Worksheet
Curated OER

Mathematics B: High School Exam

For Students 11th - 12th
In this mathematics worksheet, students solve problems about numerous high school topics including trigonometry, algebra, and pre-calculus. This worksheet contains, but is not limited to, radicals, inverse functions, transformations, and...
Worksheet
Curated OER

Law of Sines and Law of Cosines

For Students 11th - 12th
In this Pre-calculus/Trigonometry worksheet, students use the laws of sines and cosines to solve triangles. The four page worksheet contains thirteen problems. Answers are not included.