Number: MA.912.NSO.2
Title: Represent and perform operations with expressions within the complex number system.
Type:
Standard
Subject: Mathematics (B.E.S.T.)
Grade: 912
Strand: Number Sense and Operations
Related Benchmarks
This cluster includes the following benchmarks
| Code |
Description |
| MA.912.NSO.2.1: | Extend previous understanding of the real number system to include the complex number system. Add, subtract, multiply and divide complex numbers. |
| MA.912.NSO.2.2: | Represent addition, subtraction, multiplication and conjugation of complex numbers geometrically on the complex plane. |
| MA.912.NSO.2.3: | Calculate the distance and midpoint between two numbers on the complex coordinate plane. |
| MA.912.NSO.2.4: | Solve mathematical and real-world problems involving complex numbers represented algebraically or on the coordinate plane. |
| MA.912.NSO.2.5: | Represent complex numbers on the complex plane in rectangular and polar forms.Clarifications:
Clarification 1: Instruction includes explaining why the rectangular and polar forms of a given complex numbers represent the same number. |
|
| MA.912.NSO.2.6: | Rewrite complex numbers to trigonometric form. Multiply complex numbers in trigonometric form. |
Related Access Points
This cluster includes the following access points.
Access Points
| Access Point Number |
Access Point Title |
| MA.912.NSO.2.AP.1: | Extend previous understanding of the real number system to include the complex number system. Add and subtract complex numbers. |
| MA.912.NSO.2.AP.2: | Represent addition and subtraction of complex numbers geometrically on the complex plane. |
Related Resources
Vetted resources educators can use to teach the concepts and skills in this topic.
Lesson Plan
| Name |
Description |
| Can You Hear Me Now? Using Cell Phone Signals to Divide Complex Numbers: | Students always ask, “What’s the point of complex numbers?” One application of complex numbers is cell phone signals and their wavelengths. This lesson introduces division of complex numbers by hooking students in with the topic of cell phones. Students will attempt to calculate a cell phone signal wavelength involving complex numbers and discover the use of complex conjugates. Then, students will practice with complex number division using a pairing strategy. To conclude, students will use white boards and dry erase markers to review the concepts covered in class.
|
Problem-Solving Tasks
| Name |
Description |
| Computations with Complex Numbers: | This resource involves simplifying algebraic expressions that involve complex numbers and various algebraic operations. |
| Complex Distance: | This problem is intended to reinforce the geometric interpretation of distance between complex numbers and midpoints as modulus of the difference and average respectively. |
Student Resources
Vetted resources students can use to learn the concepts and skills in this topic.
Problem-Solving Tasks
| Title |
Description |
| Computations with Complex Numbers: | This resource involves simplifying algebraic expressions that involve complex numbers and various algebraic operations. |
| Complex Distance: | This problem is intended to reinforce the geometric interpretation of distance between complex numbers and midpoints as modulus of the difference and average respectively. |
Parent Resources
Vetted resources caregivers can use to help students learn the concepts and skills in this topic.
Problem-Solving Tasks
| Title |
Description |
| Computations with Complex Numbers: | This resource involves simplifying algebraic expressions that involve complex numbers and various algebraic operations. |
| Complex Distance: | This problem is intended to reinforce the geometric interpretation of distance between complex numbers and midpoints as modulus of the difference and average respectively. |
