# Math Course Descriptions

## 0242Y 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

## 0243Y 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

## 0210Y 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

## 0212Y 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

## 0220Y 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

## 0214Y 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

## 0230Y 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

## 0232Y 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

## 0248Y Accelerated Pre-Calculus with Limits

Grade Level: 10-12

Credits Earned: 1.0

Prerequisite: Algebra 2 Accelerated (B minimum)

NCAA Approved

**Description: **Pre-Calculus Accelerated 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: 02110A000, Pre-Calculus

## 0237Y Pre-Calculus

Grade Level: 10-12

Credits Earned: 1.0

Prerequisite: Algebra 2

NCAA Approved

**Description:** Pre-Calculus is an elective math course offered for students after completing Algebra 2. Pre-Calculus is a great choice for students who are looking to further their math education or who may be required to take future math courses in college. Students are best prepared for Pre-Calculus if they were successful in maintaining an A or B average in Algebra 2. A graphing calculator is required to be successful in the course.

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

Functions and their graphs

Polynomial Functions

Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Trigonometric Graphing

Mathematical Modeling

Piece-Wise Functions

State Course: 02110A000, 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

## 3024 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

## 0252Y 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

## 0250Y 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

## 0270Y 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