A straightforward approach to teaching complex numbers, this lesson addresses the concepts of complex numbers, polar coordinates, Euler's formula, De moivres Theorem, and more. It includes a practice problems set with odd answers...

In this complex numbers activity, learners find the sum of complex numbers. This four-page activity contains approximately 20 multi-step problems.

Show your math class how to use vectors in adding complex numbers. Vectors represent complex numbers as opposed to points in the coordinate plane. The class uses the geometric representation to add and subtract complex numbers and...

In this radical worksheet, students simplify complex numbers.  They find the sum and difference of complex numbers.  This two-page worksheet contains 11 multiple-choice problems.  Answers are given on the last page.

In this complex numbers worksheet, 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...

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...

Before getting too far into The Adventures of Tom Sawyer, support your learners by introducing and practicing some vocabulary that might be unfamiliar to them. The vocabulary exercise here includes 16 words from the third and fourth...

Teach class members to work with rational expressions using their knowledge of fractions. The lesson plan starts with a warm-up of rational expressions at four different levels of complexity. The different levels continue throughout...

Squares can be magic. Pupils use their knowledge of addition of positive and negative rational numbers to create a 3 X 3 magic square where the sums are 1. Scholars create addition and multiplication expressions with a set of rational...

Start off with the definition of the imaginary number i, then have your class practice simplifying expressions involving powers of i and look for patterns. See how the cyclic nature of powers of i translate to sums of powers of i.

It all adds up to one. Pupils solve several items that involve finding sums of fractions in relationship to a whole. The assessment task uses fractions with unlike denominators to determine the amount of a tank of gas and the amount of...

Young geometers get practice with the algebra of angles in an extensive skills practice worksheet. Supplementary, complementary, and vertical angle relationships are used, along with parallel lines cut by a transversal and angle sum...

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...

In this sigma worksheet, students evaluate patterns. They find the sum of the digits in a sequence and write the formula to produce the sequence. This one page worksheet contains four multi-step problems.

In this applications of residues worksheet, students evaluate complicated trigonometric integrals and use residues to evaluate the sum of an infinite list of numbers. This two-page worksheet contains explanations and examples, as well...

How much can a cat eat? The five-question fraction assessment asks pupils to determine the fractional portion of a food box eaten by cats. Learners show their proficiency in adding and subtracting fractions using several scenarios...

In this algebra worksheet, students define the equations and discuss how many and what kinds of roots there will be. There are 6 questions dealing with roots, complex numbers and quadratics.

In this college level algebra worksheet, students examine patterns, formulas that describe the pattern and determine the sum of an infinite pattern.  The one page worksheet contains five questions.  Answers...

In this probability worksheet, students solve complex probability problems containing logarithms, radicals, and square roots. This three-page worksheet contains nine problems.

These fractions need to be converted to decimals, but no calculator is needed. Scholars examine two examples which explain the process briefly before completing 16 fractions with denominators of either 10 or 100. For the next section...

In this precalc lesson, students write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.

In this final examination worksheet, students find the tangent function and sine function.  They graph problems on a polar coordinate.  Students describe trigonometric properties.  This twelve-page worksheet contains 80...