- Hamilton High
- Math Course Descriptions
-
Algebra 1
Grades 9-12
Prerequisite: Math 8
This course is the first year of a standards-based mathematics curriculum. Number sense topics include
the concept of understanding and applying numbers, ways of representing numbers, and the
relationships among numbers and different number systems. Data analysis focuses on the concept of
understanding and applying data collection, organization and representation to analyze and sort data.
Algebra topics focus on the concept of representing and analyzing mathematical situations and structures
using algebraic representations. Geometric topics include specifying and describing spatial relationships
using coordinate geometry and other representational systems. Structure and logic focuses on algorithms
and algorithmic thinking and the concept of using reasoning to solve mathematical problems in
contextual situations.Geometry
Grades 9-12Prerequisite: Algebra 1
Full year, 1 credit
This course is the second year of a standards-based mathematics curriculum. Number sense topics
include the concept of using estimation strategies reasonably and fluently. Probability focuses on
recording data from a probability experiment and comparing the outcome to predictions made prior to
performing the experiment. Discrete mathematics topics include understanding and demonstrating the
systematic listing and counting of possible outcomes. Geometric properties will be used to analyze the
attributes and properties of two and three-dimensional shapes and developing mathematical arguments
about their relationships. Students will learn to use logic, reasoning and mathematical proofs to evaluate
situations and select problem-solving strategies.Honors Geometry
Grade 9
Prerequisite: Algebra 1
Full year, 1 credit
This is the second year of a standards-based accelerated mathematics curriculum that emphasizes real-life
problems and applications.Algebra 2
Grades 9-12
Prerequisite: Algebra 1, Geometry
Full year, 1 credit
This course is the third year of an integrated study of mathematics. Students will model and solve real-
life situations dealing with such topics as probability, statistics, algebraic functions, geometry, and an
introduction to trigonometry.
Honors Algebra 2
Grades 9-10
Prerequisite: Honors Algebra 1, Honors Geometry
This course is a continuation of Honors Algebra 1where students model and solve real-life
situations dealing with such topics as probability, statistics, algebraic functions, geometry, and
trigonometry.Mathematics Year 4
Grades 9-12
Prerequisite: Algebra 1, Geometry, Algebra 2
Full year, 1 credit
In Mathematics Year 4 students will master algebraic methods and properties. Students will analyze and
interpret the behavior and nature of functions. The types of functions will include: polynomial, rational,
exponential, logarithmic, absolute value, and piecewise. Other topics may include: systems of equations,
matrices, combinations, permutations, sequences, series, conics, and data analysis with a focus on
modeling and solving real world problems.
AP Statistics
Grades 10-12
Prerequisite: Pre-Calculus or Algbra 2
Full year, 1 credit
This is a college-level course designed to meet the requirements for students to take the AP examination.
The four major conceptual themes that will be studied are data analysis, strategies in planning a study,
probability, and statistical inference. Technology, projects, writing and cooperative group problem
solving are an integral part of this course.Honors Pre-Calculus
Grades 9-12
Prerequisite: Algebra 2
Full year, 1 credit
This is a rigorous pre-AP/IB course equivalent to college algebra and trigonometry at the university.
This course prepares students for AP Calculus AB. Using algebraic manipulation, graphing and
application, the following topics will be emphasized: functions, mathematical modeling, exponential and
logarithmic equations, discrete mathematics and trigonometry.
AP Calculus AB
Grades 9-12
Prerequisite: Pre-Calculus
Full year, 1 credit
This is the rigorous mathematics course equivalent to a first semester calculus class at a university. This
course prepares students to sit for AP examinations where a semester of college credit in calculus may be
earned. Topics emphasized are differential and integral calculus.
AP Calculus BC
Grades 9-12
Prerequisite: Calculus AB
Full year, 1 credit
This course is equivalent to a second semester calculus class at a university and prepares students to sit
for AP examinations where a semester of college credit in calculus may be earned. Topics emphasized
are methods of integration, conic sections, hyperbolic functions, and polar coordinates. This is a rigorous
course designed to prepare students for the AP examination in this subject area.Accelerated AP Calculus AB/BC
Grades 11-12
Prerequisite: Honors Pre-Calculus
Full year, 1 credit
This course uses the College Board Syllabus for AB Calculus and for BC Calculus. The curriculum is
accelerated and only for top math students. The class is also approved for dual credit and will enable
students to earn two semesters of college math credit.Multivariable Calculus and Differential Equations
Grades 11-12
Prerequisite: AP Calculus BC
Full year, 1 credit
This course will be taught to juniors and seniors who completed AP Calculus BC their sophomore or
junior year. The curriculum covers Calculus 3 and differential equations (DEQ). There is no AP exam for
this course but students can get 4 college credits for the Multivariable Calculus (Calc 3) and 3 credits for
DEQ through dual enrollment.Linear Algebra and Advanced Math Topics
Grades 11-12
Prerequisite: AP Calculus BC
Full year, 1 credit
This college-level course includes the topics of introduction to matrices, theories of systems of linear
equations, determinants, vector spaces, linear transformations and eigenvalues. It emphasizes the
development of computational skills and independent research. Dual credit is an option for the linear
algebra portion.