Math Course Offerings

Honors INTEGRATED MATH 1 - 9th Grade

In Mathematics I, students begin to formalize their learning from the middle grades to make connections across mathematical concepts. Students study both algebraic and geometric patterns to discover relationships and justify their reasoning. All students should regularly be engaged in the Standards for Mathematical Practice as defined by the Common Core. Mathematical content should be addressed through the study of big ideas allowing students to see the connections between multiple concepts. The mathematical content of Mathematics I includes Creating and Interpreting Expressions and Equations, Linear Equations and Inequalities, including Linear Systems, Interpreting and Building Functions using Proper Function Notation, Summarizing, Representing, and Interpreting Data, Congruence, Transformational Geometry, and Geometric Proofs.

In an honors class, students will be expected to develop more advanced problem-solving methods and precisely communicate their in-depth understanding of the mathematical concepts covered. Students will also be asked to make connections across mathematical ideas while justifying their thinking and strategies. Successful completion of Mathematics I H will prepare students for future honors and AP coursework in mathematics.

Prerequisite: None

Honors INTEGRATED MATH II - 9th and 10th Grade

In Mathematics II, students extend their learning of algebraic and geometric concepts to include more complex ideas that include both inductive and deductive reasoning processes. All students should regularly be engaged in the Standards for Mathematical Practice as defined by the Common Core. Mathematical content should be addressed through the study of big ideas allowing students to see the connections between multiple concepts. The mathematical content of Mathematics II includes Properties of Rational and Irrational Numbers, Solving Quadratic Equations using Multiple Methods, Similarity, Right Triangles, Geometric Proofs, Measurement and Dimension, and Probability.

In an honors class, students will be expected to develop more advanced problem-solving methods and precisely communicate their in-depth understanding of the mathematical concepts covered. Students will also be asked to make connections across mathematical ideas while justifying their thinking and strategies. Successful completion of Mathematics II H will prepare students for future honors and AP coursework in mathematics.

Prerequisite:  Math 1 or Algebra 1

Honors INTEGRATED MATH III - 10th and 11th Grade

In Mathematics III, students will create and apply mathematical models in order to represent and interpret real-world contexts. The development and comparison of multiple solution methods and mathematical representations builds a level of fluency and conceptual understanding essential for the study of more advanced mathematics. All students should regularly be engaged in the Standards for Mathematical Practice as defined by the Common Core. Mathematical content should be addressed through the study of big ideas allowing students to see the connections between multiple concepts. The mathematical content of Mathematics III includes Non-linear Relationships, Solving Complex Equations, Interpreting, Building, and Modeling with Functions, Making Inferences and Conclusions from Data, Geometric Constructions, Modeling with Geometry, Coordinate Geometry, and Circles.

In an honors class, students will be expected to develop more advanced problem-solving methods and precisely communicate their in-depth understanding of the mathematical concepts covered. Students will also be asked to make connections across mathematical ideas while justifying their thinking and strategies. Successful completion of Mathematics III H will prepare students for future honors and AP coursework in mathematics.

Prerequisite: Math II or Geometry

Honors PRECALCULUS - 11th and 12th Grade

In Pre-Calculus, students will study advanced concepts in preparation for Calculus and/or other college level mathematics courses. Students should leave the course fluent in the manipulation of complex equations, understanding of mathematical relationships, and the ability to communicate and justify their thinking. All students should regularly be engaged in the Standards for Mathematical Practice as defined by the Common Core. Mathematical content should be addressed through the study of big ideas allowing students to see the connections between multiple concepts. The mathematical content of Pre-Calculus includes Operations with Complex Numbers, Vectors and Matrices, Inverse Functions, Composition of Functions, Trigonometric Functions and Identities, and Probability.

In an honors class, students will be expected to develop more advanced problem-solving methods and precisely communicate their in-depth understanding of the mathematical concepts covered. Students will also be asked to make connections across mathematical ideas while justifying their thinking and strategies. Successful completion of Pre-Calculus H will prepare students for future AP or college level coursework in mathematics.

Prerequisite: Math III or Advanced Algebra

Advanced Placement Statistics - 11th & 12th Grade

AP Statistics is the high school equivalent of an introductory college statistics course. The purpose of AP Statistics is to introduce students to major concepts and tools for collecting, analyzing, ad drawing conclusions from data.

Throughout the course students will be exposed to the following four 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

Successful mastery of course content and skills may translate to earning credit in a college introductory statistics course. AP Statistics prepares students to pass the AP (Advance Placement) examination given in May.

Prerequisite:  Grade of C or better in Math III or Advanced Algebra

Advanced Placement Calculus - 11th & 12th Grade

AP Calculus teaches students to work with functions represented in a variety of ways: graphical, numerical, analytical or verbal. The course covers the meaning of the derivative in terms of a rate of change and a local linear approximation. These concepts will be used to solve a variety of problems. Furthermore, the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of a rate of change is taught, with applications. The course teaches the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus. Students will model written descriptions of physical situations with functions, differential equations, or integrals. Technology is used to assist in verifying and interpreting results, determining the reasonableness of solutions, and then making conjectures. AP Calculus prepares students to pass the AP (Advance Placement) examination given in May.  GWCP offers both AB and BC Calculus.  AP Calculus BC is an extension of AP Calculus AB: the difference between them is scope, not level of difficulty. AP Calculus AB includes techniques and applications of the derivative, the definite integral, and the Fundamental Theorem of Calculus. It is equivalent to a semester of calculus at most colleges and universities. AP Calculus BC includes all topics in AP Calculus AB, plus others such as parametric, polar, and vector functions, and series. It is equivalent to one year of calculus at most colleges and universities.

Prerequisites: College Board Prerequisite(s): Students should have completed the equivalent of four years of secondary mathematics designed for college-bound students. CPS Recommendation(s): Algebra, Algebra II and Trigonometry, Geometry, Pre-Calculus if student passed Algebra in 8th grade OR MATH III

Advanced Placement Computer Science Principles - 10th, 11th, & 12th Grade

Computer Science Principles, like an introductory college level CS course, surveys the breadth of the field of computer science, focusing on both fundamental programming concepts and the application of computer science thinking skills to devising creative solutions to problems of all sorts. The AP assessment for this course consists of a traditional multiple-choice exam as well as a performance task, for which students will independently create and write about a computer program.

Prerequisites:  Curiosity and it is suggested (but not required) that students have already taken ECS.