CORE Challenge Site

[ Log On ]

Grades / Levels

Standards

CodeGradeClusterStandardObject Count
N-CN.1 High School - Number and Quantity Perform arithmetic operations with complex numbers. 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. 0
N-CN.2 High School - Number and Quantity Perform arithmetic operations with complex numbers. Use the relation i^2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers. 1
N-CN.3 High School - Number and Quantity Perform arithmetic operations with complex numbers. (+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers. 0
N-CN.4 High School - Number and Quantity Represent complex numbers and their operations on the complex plane. (+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number. 0
N-CN.5 High School - Number and Quantity Represent complex numbers and their operations on the complex plane. (+) Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation. For example, (-1 + v3 i)^3 = 8 because (-1 + v3 i) has modulus 2 and argument 120°. 0
N-CN.6 High School - Number and Quantity Represent complex numbers and their operations on the complex plane. (+) Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its endpoints. 0
N-CN.7 High School - Number and Quantity Use complex numbers in polynomial identities and equations. Solve quadratic equations with real coefficients that have complex solutions. 1
N-CN.8 High School - Number and Quantity Use complex numbers in polynomial identities and equations. (+) Extend polynomial identities to the complex numbers. For example, rewrite x^2 + 4 as (x + 2i)(x – 2i). 0
N-CN.9 High School - Number and Quantity Use complex numbers in polynomial identities and equations. (+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials. 1