Algebra 1
As the introductory course to the high school mathematics program, Algebra is designed to prepare students with the fundamental skills needed to succeed in life tasks. It is organized into four broad categories: symbolization and variables; functions and equations; slope and change; and mathematical modeling. This course helps to develop logical, creative math students with a genuine understanding of the meaning of algebraic symbols and procedures. This class is taught concurrently with Algebra Extended.
As the introductory course to the high school mathematics program, Algebra is designed to prepare students with the fundamental skills needed to succeed in life tasks. It is organized into four broad categories: symbolization and variables; functions and equations; slope and change; and mathematical modeling. This course helps to develop logical, creative math students with a genuine understanding of the meaning of algebraic symbols and procedures. This class is taught concurrently with Algebra Extended.
Algebra 1 Extended
This course supplements Algebra I instruction focusing on real-world situations and applications of Algebra. Individual and group projects are integral to this course.
This course supplements Algebra I instruction focusing on real-world situations and applications of Algebra. Individual and group projects are integral to this course.
Geometry
Geometry is the study of spatial relationships between mathematical objects such as points, lines, planes, angles, polygons, circles, and solids. Such relationships include parallelism, perpendicularity, congruence, similarity, transformations, and measures. In addition to traditional geometric reasoning, this course further develops students’ Algebra skills in the context of Geometry. Advanced Algebra with Trigonometry
In this course students encounter many topics familiar to them from Algebra. However, the topics are studied in greater depth. Additional topics include functions and their domain and range, systems of equations in two and three variables, matrices, irrational and complex numbers, and linear programming. Trigonometry includes the study of all of the trigonometric functions and their properties: finding values of all trigonometric functions of any angle either on the calculator or by using special angles, solving triangles, graphing trigonometric functions, use of the radian angle measurement system, and basic identities. |
Pre-Calculus
This course is designed to prepare students for topics covered in an elementary Calculus course at the college level. The course incorporates a comprehensive study of functions and their characteristics, transformations and behaviors. Pre-Calculus will continue to fulfill calculus prerequisites as students continue to develop the algebra of real numbers, polynomial, rational, radical, trigonometric, logarithmic, and exponential functions.
Analytic Geometry (including the conic sections) is interwoven throughout the course. Students will review and expand their understanding of trigonometry in addition to exploring arithmetic and geometric sequences, the binomial theorem, vectors, combinations and permutations. Application-based problem solving is an integral part of the course. Instruction will include appropriate use of technology and continue to facilitate students’ higher-order thinking skills. Individual and group projects are integral to the course.
This course is designed to prepare students for topics covered in an elementary Calculus course at the college level. The course incorporates a comprehensive study of functions and their characteristics, transformations and behaviors. Pre-Calculus will continue to fulfill calculus prerequisites as students continue to develop the algebra of real numbers, polynomial, rational, radical, trigonometric, logarithmic, and exponential functions.
Analytic Geometry (including the conic sections) is interwoven throughout the course. Students will review and expand their understanding of trigonometry in addition to exploring arithmetic and geometric sequences, the binomial theorem, vectors, combinations and permutations. Application-based problem solving is an integral part of the course. Instruction will include appropriate use of technology and continue to facilitate students’ higher-order thinking skills. Individual and group projects are integral to the course.
Financial Algebra
The purpose of this course is to teach you how to use mathematics effectively in your day-to-day life. The emphasis of this course is on topics that you would encounter in everyday living, such as personal banking, income, credit, loans, and budgets. After successfully completing this course, you should be familiar with and understand basic terminology relating to personal applications. You should also be able to apply basic math skills in order to solve real-life problems and use common math formulas to solve financial math problems.
The purpose of this course is to teach you how to use mathematics effectively in your day-to-day life. The emphasis of this course is on topics that you would encounter in everyday living, such as personal banking, income, credit, loans, and budgets. After successfully completing this course, you should be familiar with and understand basic terminology relating to personal applications. You should also be able to apply basic math skills in order to solve real-life problems and use common math formulas to solve financial math problems.
Dual Credit Pre-Calculus
This course examines functions as a unifying concept in mathematics. Four topics are covered in detail: polynomial functions, rational functions, exponential and logarithmic functions and trigonometric functions and identities.
The course is only open to juniors and seniors who satisfy the following three requirements: the student must meet one of the following qualifying test scores: ALEKS test, 46 or higher, SAT Math score 530 or higher, ACT math, 21 or higher, the student must have a cumulative GPA of 2.5 or higher, and the student must be at least age 16 at the time the course begins. Students completing this course will receive community college credit through the CCC (Community Colleges of Chicago). CPS weights this course as if it were an Advanced Placement course for purposes of grade point calculations. PSAT scores cannot be used to determine eligibility.
This course examines functions as a unifying concept in mathematics. Four topics are covered in detail: polynomial functions, rational functions, exponential and logarithmic functions and trigonometric functions and identities.
The course is only open to juniors and seniors who satisfy the following three requirements: the student must meet one of the following qualifying test scores: ALEKS test, 46 or higher, SAT Math score 530 or higher, ACT math, 21 or higher, the student must have a cumulative GPA of 2.5 or higher, and the student must be at least age 16 at the time the course begins. Students completing this course will receive community college credit through the CCC (Community Colleges of Chicago). CPS weights this course as if it were an Advanced Placement course for purposes of grade point calculations. PSAT scores cannot be used to determine eligibility.
AP Calculus AB
This course follows a syllabus approved by the College Board and prepares students to take the AP Calculus AB Exam. The course curriculum follows the AP Calculus Curriculum Framework 2017. The topics included are: Functions, Graphs and Limits (analysis of graphs, limits of functions (including one-sided limits), asymptotic and unbounded behavior, continuity as a property of functions), Derivatives (concept of the derivative, derivative at a point, derivative as a function, second derivatives, applications of Derivatives, computation of Derivatives), Integrals (interpretations and properties of definite integrals, applications of integrals, Fundamental theorem of Calculus, techniques of integration, applications of integration, numerical approximations to definite integrals). An introduction to differential equations is also included. Mathematical modeling using a TI-Nspire calculator will be emphasized where appropriate.
This course follows a syllabus approved by the College Board and prepares students to take the AP Calculus AB Exam. The course curriculum follows the AP Calculus Curriculum Framework 2017. The topics included are: Functions, Graphs and Limits (analysis of graphs, limits of functions (including one-sided limits), asymptotic and unbounded behavior, continuity as a property of functions), Derivatives (concept of the derivative, derivative at a point, derivative as a function, second derivatives, applications of Derivatives, computation of Derivatives), Integrals (interpretations and properties of definite integrals, applications of integrals, Fundamental theorem of Calculus, techniques of integration, applications of integration, numerical approximations to definite integrals). An introduction to differential equations is also included. Mathematical modeling using a TI-Nspire calculator will be emphasized where appropriate.
AP Statistics
Advanced Placement Statistics is a junior/senior math elective course. Students will prepare for and take the AP Statistics exam in May. Students who do well on this exam may receive college credit. This course will introduce students to the major concepts and tools for collecting, analyzing, and interpreting data. Students must have a TI-Nspire graphing calculator. The course will cover the following:
o Sampling and Experimentation: formulating questions, collecting data and other aspects of conducting a study
o Exploring Data: analyzing sets of data for patterns and departures from patterns
o Determining probability using random selection and simulation
o Using statistical methods to approximate and estimate results, testing hypotheses
o Inference: Drawing conclusions from sets of data, confidence intervals
Advanced Placement Statistics is a junior/senior math elective course. Students will prepare for and take the AP Statistics exam in May. Students who do well on this exam may receive college credit. This course will introduce students to the major concepts and tools for collecting, analyzing, and interpreting data. Students must have a TI-Nspire graphing calculator. The course will cover the following:
o Sampling and Experimentation: formulating questions, collecting data and other aspects of conducting a study
o Exploring Data: analyzing sets of data for patterns and departures from patterns
o Determining probability using random selection and simulation
o Using statistical methods to approximate and estimate results, testing hypotheses
o Inference: Drawing conclusions from sets of data, confidence intervals