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...
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...
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
The Geometric Effect of Some Complex Arithmetic 2
The 10th activity 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...
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
The Order of Operations
Future mathematicians learn how to evaluate numerical expressions by applying the order of operations. They evaluate similar-looking expressions to see how the location of parentheses and exponents affects the value.
EngageNY
Exploiting the Connection to Cartesian Coordinates
Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...
Curated OER
Complex Numbers and Operations
In this algebra worksheet, learners 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.
Curated OER
More Complex Fraction Problems
If your fifth graders have mastered fractions, push them to the next level! They multiply fractions by whole numbers and decimals (in the form of money math). The worksheet provides space for pupils to write out their work, based on two...
EngageNY
The Geometric Effect of Multiplying by a Reciprocal
Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...
Curated OER
Operations with Complex Numbers
In this complex numbers worksheet, students simplify thirty complex number expressions and answer two critical thinking questions. The solutions are provided.
Arizona Department of Education
Introduction to Integers
Welcome to the backward world of negative numbers. This introductory lesson teaches young mathematicians that negative numbers are simply the opposite of positive numbers as they use number lines to plot and compare single-digit integers.
Curated OER
The Complex Numbers
In this algebra worksheet, students solve 16 problems involving imaginary numbers. In the first three, students find the square root of 3 negative numbers in terms of i. Nine problems involve addition, subtraction, multiplication and...
Curated OER
Complex Numbers
In this complex numbers worksheet, students simplify 9 problems involving the addition, subtraction, multiplication, and division of complex numbers.
Curated OER
Putting Numbers in Order
Can your second graders put these 2 and 3-digit numbers in order from least to greatest? Fifteen sets of four numbers help them practice their place value, as well as their ordering skills. A great way to get them ready for more complex...
Curated OER
Complex Analysis: Complex Numbers
In this complex numbers worksheet, students compute the value of given expressions and write the answer in complex number form. This one-page worksheet contains three equations.
Charleston School District
Solving Equations with Variables on Both Sides
Where did all these variables come from, anyway? The previous lessons in the series ask learners to solve multi-step equations using the distributive property, combining like terms, and using inverse operations. Now scholars solve...
Curated OER
Order of Operations
For this order of operations worksheet, learners solve complex problems where they practice using the order of operations. Students complete 7 problems.
Curated OER
Complex Analysis: Properties of Complex Numbers
In this properties of complex numbers worksheet, students list and explain the properties and operations used to compute the value of expressions. This one-page worksheet contains six definition questions and three equations.
Curated OER
Complex Analysis: Functions of Complex Variables
In this complex variable worksheet, students explore the functions of a complex variable. They map complex variables and solve complex inequalities. This three-page worksheet contains fourteen problems.
Curated OER
Complex Analysis: Functions of Complex Variables
In this function worksheet, students map equations and identify three dominant characteristics. They evaluate functions of complex variables. This three-page worksheet contains approximately ten problems.
EngageNY
Mid-Module Assessment Task - Precalculus (module 1)
Individuals show what they know about the geometric representations of complex numbers and linearity. Seventeen questions challenge them to demonstrate their knowledge of moduli and operations with complex numbers. The assessment is the...
Illustrative Mathematics
Buying Gas
A quick problem to test your middle schoolers' knowledge of dividing with decimals. Also a good practice of unit rates, they must compute the cost of one gallon of gas when given the total amount for a fill up. Can be used as a preface...