George Westinghouse College Prep High School offers a rigorous and demanding course selection for all students. Our mathematics sequencing provides a groundwork for critical thinking by developing skills in reasoning and problem solving. Our students are continually challenged to develop their skills in reasoning, analysis, creativity, shared learning, and self expression as they build on their mathematical understanding. We strive to create students to be mathematically developed thinkers who can communicate their understanding and be prepared for all mathematical challenges that exist beyond the high school level.
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
Honors FINANCIAL ALGEBRA -12th Grade
Mathematics plays a fundamental role in today’s world, including our complex financial environment. Using practical business problems and real-world personal financial issues, this course will explore areas of mathematics that help us understand, predict, and control our financial world. Topics may include: investments, the stock market, business planning, banking, consumer credit, insurance, taxation, student loans, home buying versus renting, budgeting and retirement planning. Students will explore and master mathematical concepts and skills such as data analysis (scatter plots, averages, frequency distributions); fitting data to equations; linear, quadratic, exponential, and piecewise models; interest formulas (simple, compound, and continuous); and present and future value.
Prerequisites: Algebra I, Geometry, & Advanced Algebra with Trigonometry OR Math III
Advanced Placement Statistics - 11th & 12th Grade
The AP statistics course is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Major content topics are divided into four themes: exploratory analysis, planning and conducting a study, probability, and statistical inference. Important components of the course should include the use of technology, projects and laboratories, cooperative group problem-solving, and writing, as a part of concept-oriented instruction and assessment. This will allow students to build interdisciplinary connections with other subjects and with their world outside school.
Prerequisite: Grade of C or better in Math III or Advanced Algebra
Advanced Placement Calculus - 11th & 12th Grade
AP Calculus AB and AP Calculus BC focus on students’ understanding of calculus concepts and provide experience with methods and applications. Through the use of big ideas of calculus (e.g., modeling change, approximation and limits, and analysis of functions), each course becomes a cohesive whole, rather than a collection of unrelated topics. Both courses require students to use definitions and theorems to build arguments and justify conclusions. The courses feature a multi representational approach to calculus, with concepts, results, and problems expressed graphically, numerically, analytically, and verbally. Exploring connections among these representations builds understanding of how calculus applies limits to develop important ideas, definitions, formulas, and theorems. A sustained emphasis on clear communication of methods, reasoning, justifications, and conclusions is essential. Teachers and students should regularly use technology to reinforce relationships among functions, to confirm written work, to implement experimentation, and to assist in interpreting results.
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.