Math Course Descriptions

0242 Extended Algebra 1 Part A   

• Grade Level: 9

• Credits Earned: 1.0

• Prerequisite: Teacher Recommendation

• NCAA Approved for .5 credit

Description: Extended Algebra I Part A and Part B provide students with the ability to problem solve and think critically about the world around them. Students will build upon the tools they learned in Pre-Algebra and take them into new functions types (Exponential and Quadratic) while preparing them for future high school math classes.  This course builds in additional supports and spreads the Algebra 1 content over two years. 

Major Topics or Themes:  (additional topics may be covered)

• Solving, writing, and graphing linear equations

• Solving a system of equations

• Linear, exponential, and quadratic functions

• Solving and graphing quadratic equations

• Operations on polynomials

State Course: 02053A000, Algebra 1 Part 1

0243 Extended Algebra 1 Part B   

• Grade Level: 9

• Credits Earned: 1.0

• Prerequisite: Extended Algebra 1 Part A

• NCAA Approved for .5 credit

Description: Extended Algebra I Part A and Part B provide students with the ability to problem solve and think critically about the world around them. Students will build upon the tools they learned in Pre-Algebra and take them into new functions types (Exponential and Quadratic) while preparing them for future high school math classes.  This course builds in additional supports and spreads the Algebra 1 content over two years. 

Major Topics or Themes:  (additional topics may be covered)

• Solving, writing, and graphing linear equations

• Solving a system of equations

• Linear, exponential, and quadratic functions

• Solving and graphing quadratic equations

• Operations on polynomials

State Course: 02054A000, Algebra 1 Part 2

0210 Algebra 1   

• Grade Level: 9

• Credits Earned: 1.0

• Prerequisite: None

• NCAA Approved

Description: Algebra I provides students with the ability to problem solve and think critically about the world around them. Students will build upon the tools they learned in Pre-Algebra and take them into new functions types (Exponential and Quadratic) while preparing them for future high school math classes.

Major Topics or Themes:  (additional topics may be covered)

• Solving, writing, and graphing linear equations

• Solving a system of equations

• Linear, exponential, and quadratic functions

• Solving and graphing quadratic equations

• Operations on polynomials

State Course: 02052A000, Algebra I

0280/0281 Amped on Algebra

• Grade Level: 9

• Credits Earned: 2.0

• Prerequisite: None

• NCAA Approved

Description: AMPED on Algebra students will operate a business running an advanced fabrication lab customizing textile products and manufacturing other items composed of wood, metal, and/or plastic.  The proceeds generated from the business aspect of the program will be utilized to fund future ventures and provide philanthropic opportunities for students through community service or monetary gifts to local charities.  Students learn skill sets in various engineering techniques, including sublimation, CNC operations, and rapid prototyping.  Additional areas for student engagement include composite technologies, alternative energies, and automation robotics. 

Major Topics or Themes:  (additional topics may be covered)

• Algebra 1 Topics/Themes:

  • Solving, writing, and graphing linear equations

  • Solving a system of equations

  • Linear, exponential, and quadratic functions

  • Solving and graphing quadratic equations

  • Operations on polynomials

• Manufacturing Processes

• Personal Logo/Products

• Ethics in Business

• Laser Engraver; Sublimation, & Vinyl Printers

State Course: 02052A000, Algebra I; 21052A002, Intro to Technology & Engineering; & 13052A001, Production Tech or 12001A001 Business & Technology Concepts

0212 Geometry Ac    

• Grade Level: 9

• Credits Earned: 1.0

• Prerequisite: Grade of B or better in 8th grade Algebra

• NCAA Approved

Description: This is the second course in a five-year accelerated math program designed to challenge and motivate the best mathematics students.  Proof is emphasized to a greater degree than in regular geometry.  Concept development is stressed with a minimum of drill and practice.  

Major Topics or Themes:  (additional topics may be covered)

• Rigid Transformations, Angle and Line Relationships

• Properties of Triangles, Polygons, Circles and 3D shapes

• Introduction to Trigonometry

• Forming Logical Arguments and using Deductive Reasoning

• Real-world Geometric Modeling

State Course: 02072A000, Geometry

0220 Geometry   

• Grade Level: 9-10

• Credits Earned: 1.0

• Prerequisite: Algebra 1 

• NCAA Approved               

Description: This course is focused on the geometry of shapes, planes and space.  Emphasis is placed on understanding, applying, justifying, and developing geometric properties in two and three dimensions.  Students will apply this learning to solve real-world mathematical problems.

Major Topics or Themes:  (additional topics may be covered)

• Rigid Transformations, Angle and Line Relationships

• Properties of Triangles, Polygons, Circles and 3D shapes

• Introduction to Trigonometry

• Forming Logical Arguments and using Deductive Reasoning

• Real-world Geometric Modeling

State Course: 02072A000, Geometry

0214 Algebra 2 Ac   

• Grade Level: 9-10

• Credits Earned: 1.0

• Prerequisite: Geometry Ac

• NCAA Approved

Description: Algebra 2 Ac is the third course in the accelerated math program designed to challenge and motivate the best mathematics students.  Students receive an enriched content of Algebra 1 and Algebra 2 topics.  Review and drill are kept to a minimum.  Computer applications and work with graphing calculators are included where appropriate.  Emphasis is placed on depth of content and problem solving skills in addition to developing algebraic skills.  It is recommended that students have a Texas Instrument graphing calculator.  

Major Topics or Themes:  (additional topics may be covered)

• Systems of Equations & Inequalities

• Quadratic Functions

• Polynomial Functions

• Radical & Rational Functions

• Exponential & Logarithmic Functions

• Operations with Functions

State Course: 02056A000, Algebra II

0230 Algebra 2   

• Grade Level: 10-12

• Credits Earned: 1.0

• Prerequisite: Geometry Ac, Geometry, or Intermediate Algebra 2 

• NCAA Approved    

Description: Problem solving skills from Algebra 1 are extended so that students will choose the appropriate method and solve systems of equations, polynomial, logarithmic, exponential, rational, and radical equations. Students will also graph systems of equations and inequalities, polynomial, logarithmic, exponential, and radical functions and apply these concepts in a variety of situations. Students will utilize graphing calculators (TI-84 Plus or TI-84 Plus CE) throughout this course.

Major Topics or Themes:  (additional topics may be covered)

• Systems of Equations & Inequalities

• Quadratic Functions

• Polynomial Functions

• Radical & Rational Functions

• Exponential & Logarithmic Functions

• Operations with Functions

 State Course: 02056A000, Algebra II

0232 Intermediate  Algebra 2   

• Grade Level: 11-12

• Credits Earned: 1.0

• Prerequisite: Geometry and Teacher Recommendation                

Description: This course is intended for students who require additional supports for math.  Instruction will focus on building a solid understanding of Algebra 1 concepts, as well as, build foundational conceptual understanding of Algebra 2 concepts.  

Major Topics or Themes:  (additional topics may be covered)

• Linear Equations

• System of Equations 

• Polynomials

• Quadratics

• Radicals

• Exponentials and Logarithms

• Functions

State Course: 02056A000, Algebra II

02440 Trigonometry

• Grade Level: 11-12

• Credits Earned: 0.5

• Prerequisite: Algebra 2 or Algebra 2 Accelerated

Description: Students will solve and graph trigonometric equations, provide and apply trigonometric identifiers, and apply trigonometry to all triangles and complex numbers. They will use trigonometry in real-world situations. 

Major Topics or Themes:  (additional topics may be covered)

• Right Triangles

• Graphing Trigonometric Functions

• Trigonometry Identities & Equations

• Inverse Trigonometric Functions

• Triangles and Vectors

State Course: 02103A000, Trigonometry

0249 AP Pre-Calculus                     AP Class Weighted

• Grade Level: 10-12

• Credits Earned: 1.0

• Prerequisite: Algebra 2 Accelerated (B minimum) 

• NCAA Approved                

Description: AP Pre-Calculus is the fourth course in the accelerated sequence for students with exceptional math skills.  Successful completion of this course is necessary for students planning to study calculus in the future and required for students planning to take AP Calculus BC.   A graphing calculator is required to be successful in the course.

Major Topics or Themes:  (additional topics may be covered)

• Function analysis of polynomial, exponential, logarithmic, logistic, and trigonometric functions

• Analytical Trigonometry

• Applications of Trigonometry

• Analytical Geometry

• Discrete Mathematics

• Limits and Continuity 

State Course: 02114A000, AP Pre-Calculus                

02400 Intro to Statistics   

• Grade Level: 11-12 

• Credits Earned: .5

• Prerequisite: Completion of or concurrent enrollment in Intermediate Algebra 2, Algebra 2, or Accelerated Algebra 2 

• NCAA Approved  

Description: Interested in exploring how the public can be manipulated by numbers? Interested in gathering data and exploring the conclusions? This course is for students who want to continue developing their math skills for applications in the real world, in both math and non-math related fields of study.

Major Topics or Themes:  (additional topics may be covered)

• Tools for collecting, analyzing and drawing conclusions from data

• Probability concepts

• Hands-on real-world data collection and analysis

• Calculator based course that focuses more on concepts than calculations

State Course: 02201A000, Probability and Statistics

02380 Financial Algebra   

• Grade Level: 11-12           

• Credits Earned: 0.5

• Prerequisite: Completion of or concurrent enrollment in Intermediate Algebra 2, Algebra 2, or Accelerated Algebra 2                

Description: This course provides students with an understanding of personal finance and business related concepts through a mathematical lens.  Topics will include investing, credit, banking, auto insurance, mortgages, employment, income taxes, budgeting, and planning for retirement.  Within these studies linear, quadratic, exponential, piecewise, and step functions are further developed from previous math courses, as well as concepts from statistics and geometry.

State Course: 02155A000, Business Math with Algebra

30240 Transition Math                                                                                                                                            Articulated Credit (RVC) 

• Grade Level: 12           

• Credits Earned: 0.5

• Prerequisite: 3 math credits  (Can be Concurrent)  

• Does not count toward the 3 credits of math graduation requirement           

Description: Students will develop conceptual and procedural tools that support the use of key mathematical concepts in a variety of contexts.  Throughout the course, college success content will be integrated with mathematical topics.  This class is articulated with one of Rock Valley College transitional math courses and ensures placement into college credit bearing math courses if the student were to attend RVC upon graduation from high school

Major Topics or Themes:  (additional topics may be covered)

• Numeracy

• Proportional Reasoning

• Algebraic Reasoning

• Functions

 State Course: 02055A000, Transition Algebra

0252 Advanced Placement Statistics                                                                       AP Class Weighted

• Grade Level: 11-12                

• Credits Earned: 1.0

• Prerequisite: Algebra 2 or Ac Algebra 2 

•  NCAA Approved          

Description: Looking for a non-Calculus based college course? In AP Statistics students learn how to communicate methods, results, and interpretations using the vocabulary of statistics. Students are taught how to use graphing calculators to enhance the development of statistical understanding through exploring and analyzing data, assessing models, and performing simulations. TI-83 or 84 graphing calculators are required. AP Statistics provides a smooth transition into college statistics and students are encouraged to take the AP Statistics Examination.

Major Topics or Themes:  (additional topics may be covered)

• Exploring Data: Describing and Displaying Data

• Sampling and Experimentation: Collecting Data

• Anticipating Patterns: Probability Study

• Statistical Inference: Making Conclusions from Data

Course Catalog: 02203A000, AP Statistics  

0250 Advanced Placement Calculus AB                                                                 AP Class Weighted

• Grade Level: 11-12                

• Credits Earned: 1.0

• Prerequisite:  Accelerated Pre Calculus with Limits (recommended, C minimum).  Students coming from (regular) Pre-Calculus may need extra study or help.   

•  NCAA Approved               

Description: AP Calculus AB is a college-level course intended for students who have a thorough knowledge of college preparatory mathematics. The content of AB Calculus AB includes at least as much material as the standard one-semester college calculus course. AB Calculus AB is a course in introductory calculus designed to prepare students for the Advanced Placement Calculus AB exam, but also for higher-level college courses in mathematics. Students interested in pursuing programs in mathematical sciences, physics, chemistry, life sciences, economics, computer science, or engineering are especially encouraged to take this course.  A graphing calculator (TI-83 Plus, TI-84 (any), TI-89) is required.  Students are encouraged to take the AP Calculus AB Examination.

Major Topics or Themes:  (additional topics may be covered)

• Limits

• Differentiation and Applications of Derivatives

• Integration, Applications of the Integral, and the Fundamental Theorem of Calculus

State Course: 02124A000, AP Calculus AB

0255 Advanced Placement Calculus BC                                                                     AP Class Weighted

• Grade Level: 12                

• Credits Earned: 1.0

• Prerequisite:  Accelerated Pre Calculus with Limits (recommended, C minimum)

•  NCAA Approved                

Description: AP Calculus BC is roughly equivalent to both first and second semester college calculus courses. It extends the content learned in  AB to different types of equations (polar, parametric, vector-valued) and new topics (such as Euler's method, integration by parts, partial fraction decomposition, and improper integrals), and introduces the topic of sequences and series.  A graphing calculator (TI-83 Plus, TI-84 (any), TI-89) is required.

Major Topics or Themes:  (additional topics may be covered)

• Limits

• Differentiation and Applications of Derivatives

• Integration, Applications of the Integral, and the Fundamental Theorem of Calculus, including Parametric and Polar Equations and Vectors

• Series

State Course: 02125A000- AP Calculus BC

0270 Advanced Placement Computer Science A                                                     AP Class Weighted

• Grade Level: 10-12                

• Credits Earned: 1

• Prerequisite: Algebra 2, Algebra 2 AC, or concurrent enrollment in Algebra 2 AC

• NCAA Approved

• Credit earned in AP Computer Science A will satisfy 1 year of Math credit requirements.

Description: Computer Science teaches students to design, implement, and analyze solutions to problems that arise in everyday life - with computers! Students will learn the Java language (the most used computer language in the world) and apply it to write, run, test, and debug solutions in the world. This course is recommended for accelerated mathematics students and any student entering a math, business, or science-related field. 

Major Topics or Themes:  (additional topics may be covered)

• Object-Oriented Program Design

• Program Implementation

• Program Analysis

• Standard Data Structures

• Standard Operations and Algorithms

State Course: 10157A000-AP Computer Science A

0271 Advanced Placement Computer Science Principles                                     AP Class Weighted

• Grade Level: 10-12                

• AP Class

• NCAA APPROVED

• Credits Earned: 1

• Prerequisite: Algebra 1

• Credit earned in AP Computer Science Principles will satisfy 1 year of Math credit requirements.              

Description: The AP Computer Science Principles course is designed to be equivalent to a first-semester introductory college computing course.  In this course, students will develop computational thinking skills vital for success across all disciplines, such as using computational tools to analyze and study data and working with large data sets to analyze, visualize, and draw conclusions from trends.  The course engages students in the creative aspects of the field by allowing them to develop computational artifacts based on their interests.  Students will also develop effective communication and collaboration skills by working individually and collaboratively to solve problems, and will discuss and write about the impacts these solutions could have on their community, society, and the world. 

Major Topics or Themes:  (additional topics may be covered)

• Creative Development

• Data

• Algorithms and Programming

• Computer Systems and Networks

• Impact of Computing

State Course: 10019A000-AP Computer Science Principles