Academics
Program of Study

Mathematics

The Mathematics department at Riverside seeks to imbue in our cadets, the ability to comprehend, and utilize mathematical concepts necessary to achieve success in college and beyond. The mathematics curriculum challenges cadets to think critically and creatively, and helps them develop problem solving strategies.  
 
The mathematics program begins with 7th grade math and concludes with AP Calculus AB.  Honors courses begin with Honors Algebra 1 and include Honors Geometry, Honors Algebra 2, Honors Pre-Calculus, and Honors Calculus. Advanced Placement Calculus AB is a senior level course available to those cadets who have demonstrated the aptitude and work ethic required to successfully complete the course.  At a minimum, cadets are required to complete 4 full credits of math to include Algebra 1, Geometry, Algebra 2, and one other course beyond Algebra 2. 

Mathematics Courses

List of 15 items.

  • Algebra 8

    Pre-Requisite: Teacher/ Counselor Recommendation
    Cadets who demonstrated excellence in Math 7 can be selected to take Algebra 8. This would allow cadets the opportunity to take more advanced math and science course in High School. This is the first course in a sequence of courses designed to provide students with a rigorous program of study in mathematics. It includes radical, polynomial and rational expressions, basic functions and their graphs, simple equations, complex numbers; quadratic and piecewise functions, sample statistics, and curve fitting.
  • Algebra 1

    This is the first course in a sequence of courses designed to provide students with a rigorous program of study in mathematics. It includes radical, polynomial and rational expressions, basic functions and their graphs, simple equations, complex numbers; quadratic and piecewise functions, sample statistics, and curve fitting.
  • Algebra 1 Honors

    Pre-Requisite: Teacher/ Counselor Recommendation
    This is the first in the sequence of mathematics courses designed to ensure that students are prepared to take higher-level mathematics courses during their high school career, including Advanced Placement Calculus AB, Advanced Placement Calculus BC, and Advanced Placement Statistics. It includes radical, polynomial and rational expressions, basic functions and their graphs, simple equations, sample statistics, and curve fitting. Cadets go into more depth on topics than in Algebra I, and they work at a faster pace.
  • Geometry

    The goal of this course is to provide students with a strong geometry background from a hands-on, problem solving, project based approach. We will focus on the continued development of students’ skills in visualization, pictorial representation, and the application of geometric ideas to describe and answer questions about natural, physical, and social phenomena. This course encompasses the close relationship of geometry with algebra by using coordinate and algebraic means to verify representations. Students will use algebraic tools to verify properties of figures presented on a coordinate plane. The interplay between geometry and algebra will strengthen students’ abilities to formulate and analyze problems from situations both within and outside mathematics
  • Geometry Honors

    Pre-Requisite: Teacher/ Counselor Recommendation
    This is the first in the sequence of mathematics courses designed to ensure that students are prepared to take higher-level mathematics courses during their high school career, including Advanced Placement Calculus AB, Advanced Placement Calculus BC, and Advanced Placement Statistics. It includes radical, polynomial and rational expressions, basic functions and their graphs, simple equations, sample statistics, and The goal of this course is to provide students with a strong geometry background from a hands-on, problem solving, project based approach. We will focus on the continued development of students’ skills in visualization, pictorial representation, and the application of geometric ideas to describe and answer questions about natural, physical, and social phenomena. This course encompasses the close relationship of geometry with algebra by using coordinate and algebraic means to verify representations. Students will use algebraic tools to verify properties of figures presented on a coordinate plane. The interplay between geometry and algebra will strengthen students’ abilities to formulate and analyze problems from situations both within and outside mathematics. The problems encountered in this course and the pace of instruction will be at a higher level than in the normal Geometry course.
  • Algebra II

    This course is a continuation of Algebra I and provides further development of the concept of function. Topics include: relations, functions, equations and inequalities, polynomials, rational and radical functions, logarithmic and exponential functions, sequences and series, counting principles and probability, and trigonometry. 
  • Algebra II Honors

    Pre-Requisite: Teacher/ Counselor Recommendation
    This course is a continuation of Algebra I Honors and provides further development of the concept of function. Topics include: relations, functions, equations and inequalities, polynomials, rational and radical functions, logarithmic and exponential functions, sequences and series, counting principles and probability, and trigonometry. The problems encountered in this course and the pace of instruction will be at a higher level than in the Algebra II course.
  • Statistics

    This course addresses the two main areas of statistics, descriptive and inferential. In descriptive statistics, cadets will learn how to collect, organize, summarize and present real-world data. Data will be obtained from newspapers, magazines, Internet searches, local companies, and other campus resources. In inferential statistics, cadets will learn how to generalize from samples to populations, perform hypothesis testing, determine relationships among variables, and make predictions. Excel, Fathom software and the TI-83 or 84 graphing calculator will be used extensively. Everything in this course relates to everyday life and uses relevant real-world data.
  • Advanced Placement Statistics

    Pre-Requisite: Teacher/ Counselor Recommendation
     
    The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students are exposed to four broad conceptual themes, 1) Exploring Data: Describing patterns and departures from patterns, 2) Sampling and Experimentation: Planning and conducting a study, 3) Anticipating Patterns: Exploring random phenomena using probability and simulation, 4) Statistical Inference: Estimating population parameters and testing hypotheses
  • Mathematics of Finance

    This course focuses on actively engaging the students in the development of mathematical understanding by using manipulatives and a variety of representations, estimating and computing efficiently, and conducting investigations and recording findings. Students will learn to think critically in a mathematical way with an understanding that there are many different ways to a solution and sometimes more than one right answer in applied mathematics. The course concentrates on the mathematics necessary to understand and make informed decisions related to personal finance. Students will use fractions, percentages, ratios, and functions to solve problems pertaining to: stock transactions, retirement planning, checking and savings accounts, mortgages, and other related personal finance applications. They will use geometry to explore floor plans, trip planning, accident investigations and other real world applications
  • Pre-calculus

    The content of pre-calculus encompasses characteristics and behaviors of functions, operations on functions, behaviors of polynomial functions and rational functions, behaviors of exponential and logarithmic functions, behaviors of trigonometric functions, and behaviors of conic sections. Content for this course is directly aligned with the Georgia Performance Standards to ensure the cadets are engaged in problem solving, decision-making, critical-thinking, and applied learning. The use of graphing calculators will be extremely valuable to the learning, not only in a graphical aspect but also to re-enforce numerical and analytical interpretations.

  • Honors Pre-calculus

    Pre-Requisite: Teacher/ Counselor Recommendation
     
    This course is designed to prepare students to take AB or BC Advanced Placement Calculus. It includes rational, polynomial, exponential, logarithmic, circular trigonometric, and inverse trigonometric functions; basic trigonometric identities and the laws of sines and cosines; sequences and series; polar and parametric equations.
    Content for this course is directly aligned with the Georgia Performance Standards to ensure the cadets are engaged in problem solving, decision-making, critical-thinking, and applied learning. The use of graphing calculators will be extremely valuable to the learning, not only in a graphical aspect but also to re-enforce numerical and analytical interpretations.
  • Honors Calculus

    Pre-Requisite: Teacher/ Counselor Recommendation
     
    This course is designed to introduce the student to the basic concepts of Calculus. Calculus topics are covered in a way that allows each of the cadets the opportunity to work with all types of functions in the following ways: graphically, numerically, analytically and verbally. Cadets are expected to be able to explain their solutions, their methods of solution and the calculus justifications for those solutions. At the conclusion of the course, each cadet needs to able to display their proficiency in using their graphing calculator for 1) finding a root, 2) sketching a function in a specified window, 3) approximating the derivative at a point using numerical methods, and 4) approximating the value of a definite integral using numerical methods.
  • Advanced Placement Calculus

    Pre-Requisite: Teacher/ Counselor Recommendation
     
    This Advanced Placement course is designed to cover all of the topics in the AP Calculus AB topic outline, as they appear in the AP Calculus Course Description.   Calculus topics are covered in a way that allows each of the cadets the opportunity to work with all types of functions in the following ways: graphically, numerically, analytically and verbally.  Cadets are expected to be able to explain their solutions, their methods of solution and the calculus justifications for those solutions. At the conclusion of the course, cadets need to be able to display proficiency in using their graphing calculator for its intended purposes on the AP exam. The AP Calculus AB course is designed only for those cadets who are mathematically qualified, who have maintained at an 85% average in pre-calculus, and score a minimum of 85 on the qualifying test which is administered the first week of classes. Students are required to take the AP Calculus Exam.
  • SAT/ ACT Prep

    This supplemental course reinforces student development in vocabulary, critical reading, and sentence completion.  Students build vocabulary and learn to use it in context. They read challenging texts and practice identifying key ideas, distinguishing between explicit and implicit information (drawing inferences) and assessing tone. They identify common usage problems tested by the SAT and ACT and work to correct and avoid those errors.  They write to explain and to persuade, using appropriate planning and organizational skills. In math, they practice and remediate the skills tested on college entrance exams.  

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