High school math in New Hampshire for grades 9-12, aligned with state standards and the Common Core, provides students with advanced mathematical understanding and problem-solving abilities:

Course Sequencing will be varied with the level of the student.

Grade 9 (Algebra I)  Suggested Course

Expressions, Equations, and Inequalities: Solving linear equations, inequalities, and systems of equations.

Functions: Understanding and interpreting functions, focusing on linear, quadratic, and exponential models.

Statistics: Analyzing data, understanding patterns, and interpreting statistical measures.

Grade 10 (Geometry) Suggested Course

Congruence and Similarity: Exploring geometric transformations, congruence, and similarity.

Trigonometry: Introduction to trigonometric ratios and solving problems involving right triangles.

Proof and Reasoning: Developing geometric proofs and logical reasoning skills.

Circles and Volume: Investigating properties of circles and calculating volume of solids.

Grade 11 (Algebra II) Suggested Course

Polynomials and Rational Functions: Operations with polynomials, factoring, and solving polynomial equations.

Exponential and Logarithmic Functions: Understanding and applying exponential and logarithmic functions.

Sequences and Series: Exploring arithmetic and geometric sequences and series.

Statistics and Probability: Advanced data analysis and probability concepts.

Grade 12 (Pre-Calculus/Calculus) Suggested Course

Advanced Functions: Deepening understanding of functions, including trigonometric, polynomial, and rational functions.

Limits and Continuity: Introduction to the concepts of limits and continuity in preparation for calculus.

Derivatives and Integrals: Basic concepts of differentiation and integration for those studying calculus.

Analytic Geometry: Exploring conic sections, vectors, and parametric equations.

Across these grades, the curriculum emphasizes mathematical reasoning, critical thinking, and real-world application, preparing students for college-level mathematics and various career paths.