Syllabus

MATH 2

SY 2025-2026

Course Description

NC Math 2 builds upon concepts from Math 1, deepening students’ understanding of functions, equations, inequalities, and geometry. Students will explore quadratic, square-root, inverse variation, and right-triangle trigonometric functions, as well as systems of equations, transformations, probability, and statistical modeling.

The course emphasizes problem-solving, mathematical reasoning, and real-world application, following North Carolina’s Standards for Mathematical Practice.

UNIT 1 – Transformations of Functions and Geometric Objects

UNIT 2 – Similarity and Congruency

UNIT 3 – Quadratic Functions

UNIT 4 - Square Root and Inverse Variation Functions

UNIT 5 - Relationships in Triangles

UNIT 6 - Probability

 Student Learning Outcomes

By the end of this course, students will be able to:

·   Model real-world situations with equations, inequalities, and functions.

·   Solve and interpret quadratic, square-root, and inverse variation problems.

·   Analyze and compare functions across multiple representations (graphical, tabular, symbolic, verbal).

·   Apply right-triangle trigonometry to geometric and applied contexts.

·   Use probability and statistics to make inferences and predictions.

·       Communicate mathematical reasoning clearly and precisely.

MATH 4

SY 2025-2026

Course Description

Math 4 is North Carolina’s capstone high school mathematics course, deepening students’ exploration of algebra, functions, trigonometry, and statistics. This course blends complex numbers, matrix and vector operations, logarithmic and trigonometric modeling, and regression analysis to prepare students for college-level algebra, precalculus, or introductory statistics.

UNIT 1 – Function Compositions

UNIT 2 – Regression Modeling and Residual Analysis

UNIT 3 – Logarithmic Functions

UNIT 4 - Trigonometry

UNIT 5 – Complex Numbers, Matrices, and Vectors

UNIT 6 – Exploratory Data Analysis

 Student Learning Outcomes

By the end of this course, students will be able to:

·   Perform and apply operations with complex numbers, matrices, and vectors.

·   Use function composition, analyze logarithmic functions, and interpret piecewise functions.

·   Model real-world phenomena through trigonometric functions (sine, cosine: amplitude, period, phase shifts).

·   Construct regression models (linear, quadratic, exponential, logarithmic, sinusoidal), analyze residuals, and assess goodness-of-fit.

·   Design statistical investigations, apply statistical inference, and use probability distributions to make decisions under uncertainty.

·   Engage in the Standards for Mathematical Practice such as problem-solving, modeling, precise reasoning, and reflection