Common Core Aligned Resources for HSN-CN.A.1
Know there is a complex number i such that i^2 = -1, and every complex number has the form a + bi with a and b real.
Showing 1 - 30 of 35 resources
Module 3: Numbers and Operations
10th - 12th CCSS: Designed
New ReviewBring some concrete reasoning to the skills of multiplying and combining terms. Using various strategies, the six activities in the module provide practice for the skills of adding, subtracting, multiplying, and diving polynomials. The...
Imaginary Numbers Are Real (Part 1: Introduction)
6 mins 9th - 12th CCSS: Adaptable
What are imaginary numbers? An introductory video provides an explanation as to why we need imaginary numbers to solve equations, and makes the connection between the need for zero, negative numbers, and rational numbers throughout history.
Evaluate Higher Powers of i
7 mins 9th - 12th CCSS: Designed
The repeating pattern displayed by powers of i is often presented as a 4-cycle to memorize; just a number trick that happens to come in handy for simplifying expressions. Here, the viewer is reminded of the product and quotient rules for...
Extend the Real Number System to Understand the Complex Number System
5 mins 9th - 12th CCSS: Designed
This brief, but powerful, video presentation gives a strong introduction to the origin of the complex number system and how it fits into the much more familiar real numbers. Starting with a review of the real numbers and imaginary...
Performance Based Assessment Practice Test (Algebra II)
10th - 11th CCSS: Designed
A full-length practice test like this one, especially one that includes a number of open response questions, is a phenomenal tool in a class as rigorous as algebra 2. Here the learners can really get that hands-on experience wrestling...
Polynomial, Rational, and Radical Relationships
9th - 12th CCSS: Designed
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Imaginary Numbers Are Real (Part 4: Bombelli's Solution)
3 mins 9th - 12th CCSS: Adaptable
Is the square root of negative one crucial to the process of finding other solutions? Using the properties of the newly discovered square root of negative one, historical mathematician Bobelli is able to solve Cardan's problem. His...
Imaginary Numbers Are Real (Part 3: Cardan's Problem)
5 mins 9th - 12th CCSS: Adaptable
Were complex numbers discovered or invented? A video presentation makes the case for the discovery of square roots of negative one. In order for complex numbers to be real, then they must behave like other numbers, which they do in terms...
Imaginary Numbers Are Real (Part 2: A Little History)
5 mins 9th - 12th CCSS: Adaptable
In some cases, a square root of a negative number must exist in order to determine the roots of a cubic equation. An educational presentation provides a specific example of a cubic with a known root to have an understanding of a square...
Steady-State Circuit Analysis & Filter Design
9th - Higher Ed CCSS: Designed
Scholars identify how the TI-89 implements phasors to perform sinusoidal steady-state analysis. The focus is on how to enter and display complex numbers. They also show how a typical steady-state application how to use the Numeric Solver...