## Algebra 1

Open to Grades: 9, 10, 11, 12

Length: 2 semesters

Algebra Semester 1: MA211SB

Algebra Semester 2: MA221SB

Algebra topics include equations, inequalities, systems, functions, and statistics. Students will formulate, analyze, solve, and interpret mathematical and real-world problems. Student learning outcomes include:

- Use statistics to compare and interpret differences in the center and spread of two or more different data sets.
- Reason quantitatively and use units to solve problems.
- Create equations and inequalities in 1 variable and use them to solve problems.
- Explain why the intersection points of linear equations and inequalities are the solutions to the linear systems (using tables and technology to graph).
- Solve linear systems exactly and approximately using substitution, elimination, and graphing.
- Define a function, use function notation and understand the domain and range.
- Construct linear and exponential functions (including arithmetic and geometric sequences) given a description, tables, and graphs.
- Explore graphing and interpreting quadratics in the various forms. Determine the strengths of each format.
- Model with functions by representing data on two quantitative variables in a scatterplot and describing how the variables are related.
- Recognize trends in the data. Fit a function to data, solve problems in context using the functions (emphasize linear, exponential and quadratic functions).

## Geometry

Open to Grades: 10, 11, 12

Length: 2 semesters

Geometry Semester 1: MA301SB

Geometry Semester 2: MA311SB

This course emphasizes an abstract, formal approach to the study of geometry. Students will utilize precise geometric language to prove geometric theorems. Students will use transformations to prove congruence. Extending this understanding to use dilations and proportional reasoning to understand similarity. Students will identify criteria for similarity of geometric figures and use similarity to solve geometric and real- life problems. Students then apply similarity in right triangles to understand right triangle trigonometry.

Students build on their understanding of similarity to exploring properties of circles and proving relationships between parts of circles. In addition to the geometric perspective, students will understand the Pythagorean theorem through an algebraic approach in order to understand the equation of a circle. This course will also build on probability concepts from the middle grades in order to understand conditional probability. Students will continue to interpret data and make justified decisions using statistics and probability.

## Honors Geometry

Open to Grades: 10

Length: 2 semesters

Semester 1: MA315SB

Semester 2: MA316SB

Hamilton offers an exciting opportunity – the ability to take 2 math classes in 1 year. This class is not on the A/B schedule and meets every day. During the first semester the class will cover a full year of Geometry. The course includes the study of points, lines, planes, angles, circles, and polygons. Also, inductive and deductive reasoning, proofs, parallel, perpendicular, surface area, and volume.

During second semester the class will cover a full year of Algebra 2 and Trigonometry. This course covers 1 and 2 variable equations and inequalities, graphing, transforming functions, quadratic equations and inequalities, imaginary and complex numbers, polynomial functions, exponential functions, logarithmic functions, radians, the unit circle, and trigonometric identities.

## Algebra 2 & Trigonometry

Open to Grades: 10, 11, 12

Length: 2 semesters

Algebra 2 & Trigonometry Semester 1: MA501SB

Algebra 2 & Trigonometry Semester 2: MA511SB

The Algebra 2/Trigonometry course combines trigonometry and advanced algebra topics. Topics include right trigonometric and circular functions, inverses, and graphs; trigonometric identities and equations; solutions of right and oblique triangles; complex numbers; numerical tables; field properties and theorems; set theory; operations with rational and irrational expressions; factoring of rational expressions; in-depth study of linear equations; solving systems of linear and quadratic equations; graphing of constant, linear, and quadratic equations; and properties of higher degree equations.

## Pre-Calculus

Open to Grades: 11, 12

Length: 2 semesters

Pre-Calculus Semester 1: MA701SB

Pre-Calculus Semester 2: MA711SB

The Pre-Calculus course combines the study of Trigonometry, Elementary Functions, Analytic Geometry, and Math Analysis topics as preparation for calculus. Topics typically include the study of complex numbers; polynomial, logarithmic, exponential, rational, right trigonometric, and circular functions, and their relations, inverses and graphs; trigonometric identities and equations; solutions of right and oblique triangles; vectors; the polar coordinate system; conic sections; Boolean algebra and symbolic logic; mathematical induction; matrix algebra; sequences and series; and limits and continuity.

## Advanced Placement Calculus AB

Open to Grades: 11, 12

Length: 2 semesters

AP Calculus Semester 1: MA921WGPA

AP Calculus Semester 2: MA931WGPA

The course will provide students with differential and integral calculus. The courses emphasize a multi-representational approach to calculus with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. The scope and sequence will follow the current syllabus provided by The College Board for Advanced Placement Calculus AB. Prepare students to take the AP Calculus AB exam, which is required at Hamilton High School.

## Advanced Placement Statistics

Open to Grades: 11, 12

Recommended for all college bound students

Length: 2 semesters

AP Statistics Semester 1: MA661WGPA

AP StatisticsSemester 2: MA671WGPA

The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Exploring data, sampling and experimentation, anticipating patterns and statistical inference are the four themes in the AP Statistics course.

In this activity-based class, students use technology, investigations, problem solving, and writing to build conceptual understanding. AP Statistics is recommended for ALL college bound students, since statistics is typically required for all college majors in STEM, social sciences, health sciences and businesses.