Math 2 is the second course in the state's integrated high school mathematics sequence, typically taken in the ninth or tenth grade. It expands on topics from NC Math 1 and introduces new concepts in algebra, geometry, functions, and probability.
Core curriculum topics
NC Math 2 builds upon the foundational skills and concepts from NC Math 1 with a focus on quadratic, radical, and inverse variation functions.
Algebra and functions:
Polynomials: Adding, subtracting, and multiplying polynomials.
Functions: Analyzing, graphing, and interpreting quadratic, square root, and inverse variation functions. This includes understanding the effects of transformations and using different representations, such as tables, graphs, and equations.
Equations: Solving quadratic equations using various methods, including factoring, completing the square, and using the quadratic formula.
Complex numbers: Defining and performing arithmetic with complex numbers involving i
Exponents: Working with rational exponents and converting between radical and rational exponent forms.
Geometry:
Transformations: Applying transformations like translations, rotations, and reflections in the plane.
Congruence and similarity: Understanding these concepts in terms of rigid and similarity transformations and using them to prove theorems about triangles and other geometric figures.
Right-triangle trigonometry: Defining trigonometric ratios (sine, cosine, tangent) and applying them to solve problems involving right triangles.
Statistics and probability:
Conditional probability: Understanding independence and conditional probability, interpreting data from two-way tables, and using them to compute probabilities of compound events.
Inference: Using simulations to determine whether experimental probability is consistent with a known population.
End-of-Course (EOC) test and graduation requirements
Unlike NC Math 1 and NC Math 3, there is no state-mandated EOC test for NC Math 2. A final exam may be given by the individual school or teacher.
The course is a mandatory part of the high school math sequence in North Carolina. Passing NC Math 1, NC Math 2, NC Math 3, and a fourth math course is required for graduation under the standard Future-Ready Core requirements.