Math

Honors Integrated Math 2A (Geometry) 

Course Number: 445101H

Prerequisites: Math I or Algebra credit/competency

Credits: 1               

Homework Expectation: The specific amount of time needed outside of class will vary for each student, but students should anticipate spending about 45 minutes on homework or studying between classes.

In this course, students will reason inductively to discover geometric relationships and formulate conjectures. Students uncover many mathematical ideas, including properties of parallel lines, properties of similar and congruent triangles, geometric proofs, coordinate geometry, transformations, the Pythagorean Theorem, area of polygons, lateral surface area and volume of right prisms, and quadratic functions. Problem contexts include determining the shadow length of an object by utilizing similar triangles, analyzing the motion of a firework using a quadratic model and the corresponding algebraic techniques, and investigating the efficiency of a honeycomb structure for storing honey. This course is paced to allow students more time to understand concepts.  It is a good fit for students who like (or need) to see several examples and want (or need) more time to practice each skill. Incoming freshmen will be placed into this course based on their performance on the CPS Algebra Exit Exam. A TI-83+ or TI-84+ calculator is required. 

Honors Integrated Math 2B

Course Number: 400201H

Prerequisites: Math I or Algebra credit/competency

Credits: 1               

Homework Expectation: The specific amount of time needed outside of class will vary for each student, but students should anticipate spending about 45 minutes on homework or studying between classes.

In this course, students will reason inductively to discover geometric relationships and formulate conjectures. Students uncover many mathematical ideas, including properties of parallel lines, properties of similar and congruent triangles, geometric proofs, coordinate geometry, transformations, the Pythagorean Theorem, area of polygons, lateral surface area and volume of right prisms, and quadratic functions. Problem contexts include determining the shadow length of an object by utilizing similar triangles, analyzing the motion of a firework using a quadratic model and the corresponding algebraic techniques, and investigating the efficiency of a honeycomb structure for storing honey. This course is paced for students who learn new material quickly. It is a good fit for students who need less review, can learn with fewer examples, and are eager to tackle challenging problems.  Students in this class should have a strong algebraic foundation.  Incoming freshmen will be placed into this course based on their performance on the CPS Algebra Exit Exam. A TI-83+ or TI-84+ calculator is required. Math 2B is strongly recommended for students who earned a B or higher in the first semester of Math 1.

Honors Integrated Math 3A (Advanced Algebra with Trigonometry)

Course Number: 422101H

Prerequisites: Math 2A or 2B or a Geometry credit/competency 

Credits: 1               

Homework Expectation: The specific amount of time needed outside of class will vary for each student, but students should anticipate spending about 30 minutes on homework or studying between classes.                             

In this course, students will expand on the topics covered in the previous two courses. Students will study Algebra II concepts, which will include conics, exponential and logarithmic relationships, systems of linear equations and inequalities, and rate of change. Students will expand on some geometric concepts including circles, coordinate geometry, and graphing. The students will build upon their knowledge of trigonometric functions, through exploration of the unit circle as well as transformations of sinusoidal curves. Finally, students will analyze data and study various probability tools including the binomial distribution, expected value, permutations, and combinations. These mathematical concepts will be explored using various real world applications, such as plotting out the land use in a city for various developments and analyzing data on world population models.  This course is paced to allow students more time to understand concepts.  A TI-83+ or TI-84+ calculator is required.

Honors Integrated Math 3B

Course Number: 400301H

Prerequisites: Math 2A or 2B or a Geometry credit/competency 

Credits: 1               

Homework Expectation: The specific amount of time needed outside of class will vary for each student, but students should anticipate spending at 60 minutes on homework or studying between classes.                         

In this course, students will expand on the topics covered in the previous two courses. Students will study Algebra II concepts, which will include conics, exponential, and logarithmic relationships, systems of linear and non-linear equations and inequalities, rate of change, and graphing in the 3-dimensional coordinate system. Students will also study how matrices can be used to solve systems of equations.  Students will expand on some geometric concepts including circles, coordinate geometry, and graphing.  The students will build upon their knowledge of trigonometric functions, through exploration of the unit circle as well as transformations of sinusoidal curves.  Finally, students will analyze data and study various probability tools including the binomial distribution, expected value, permutations, and combinations, as well as develop the binomial theorem through Pascal’s triangle. These mathematical concepts will be explored using various real world applications, such as plotting out the land use in a city for various developments and analyzing data on world population models.  This course is paced for students who learn new material quickly. It is a good fit for students who need less review, can learn with fewer examples, and are eager to tackle challenging problems.  Students in this class should have a strong algebraic foundation.  A TI-83+ or TI-84+ calculator is required.  Math 3B is strongly recommended for students who earned a B or higher in the first semester of Math 2.

**Highly motivated and high-achieving Math 2 students may have the opportunity to enroll in both Math 3B and AP Pre-Calculus simultaneously. However, both courses are fast-paced and demanding, requiring a commitment of at least 45–60 minutes of study outside the classroom per class each day. Department approval is required for simultaneous enrollment.

Dual Credit College Algebra (City Colleges Math 140)

Course Number: 468311A

Prerequisites: Math 3A or 3B; For Dual Credit: Minimum GPA of 2.5, 90% attendance rate, and CCC ALEKS placement test score of 46+.

Credits: 1               

Homework Expectation: The specific amount of time needed outside of class will vary for each student, but students should anticipate spending about 60 minutes on homework or studying between classes.                

This course is designed to build confidence in and encourage an appreciation for mathematics. Students will examine functions and trigonometry using various tools, including graphing calculators and math software. Students should expect to engage in technical writing and discourse around the following types of functions: linear, quadratic, exponential, logarithmic, trigonometric, polynomial and rational.  Additional topics may be covered depending on time.  A TI-83+ or TI-84+ calculator is required.  This class does not cover all the required College Board skills needed for AP Calculus. If you plan on taking AP Calculus you must take AP Pre-Calculus.  Dual Credit College Algebra is highly recommended for students who earned a C or higher in the first semester of Math 3A or a D or higher in Math 3B.  

AP Statistics

Course Number: 474101A

Prerequisites: Math 3A or 3B 

Credits: 1

Homework Expectation: The specific amount of time needed outside of class will vary for each student, but students should anticipate spending about 60 minutes on homework or studying between classes.                     

AP Statistics is a college-level math class in which students analyze data using graphical, numerical, and inferential techniques.  Students conduct experiments, surveys and simulations to gain a quantitative understanding of the world we live in. Advanced functions of graphing calculators and computer software are used and students are required to describe their conclusions in writing. You can expect to have  45-60 minutes of homework between classes and there is more reading and writing involved than your typical math class. While the answer is important, how you chose the procedure and what your answer means in context is just as important in AP Statistics. The course follows the syllabus as defined by the College Board. A TI-83+ or TI-84+ graphing calculator is required. AP Statistics is recommended for students who earned a C or higher in the first semester of Math 3A or 3B.

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Honors Probability and Statistics

Course Number: 447101H

Prerequisites: Math 3A or 3B 

Credits: 1

Homework Expectation: The specific amount of time needed outside of class will vary for each student, but students should anticipate spending about 30 minutes on homework or studying between classes.                       

Honors Probability and Statistics focuses on using data and probability to understand and make decisions about real-world situations. Students will learn how to collect, represent, and analyze data using graphs and numerical summaries, and how to interpret patterns and relationships in data. The course also explores probability as a way to model randomness, including random variables and probability distributions. As the course continues, students will connect probability and data through sampling distributions, estimation, and hypothesis testing. Students will learn how to use samples to draw conclusions about larger populations and evaluate the strength of statistical claims. Throughout the course, the emphasis is on reasoning, communication, and making well-supported conclusions, helping students become thoughtful and informed users of data in school and everyday life. A TI-83+ or TI-84+ graphing calculator is required.

AP Pre-Calculus  

Course Number: 472201A

Prerequisites: Math 3A or Math 3B

Credits: 1

Homework Expectation: The specific amount of time needed outside of class will vary for each student, but students should anticipate spending about 45-60 minutes on homework or studying between classes.                  

In this course, students will gain an understanding of the fundamental concepts of advanced algebra, trigonometry, and functions, to show how these concepts can be used to model real-life situations, and to foreshadow the important ideas of Calculus. Students will extensively investigate topics in polynomial, power, rational, exponential, and logarithmic functions using algebraic, numerical, graphical, and verbal methods for representing problems.  Students will also continue their study of trigonometric functions and trigonometric identities, and begin to study parametric equations, polar equations, vectors, partial fractions, inverse trigonometric functions, and sequences, and series.  They will finish with an introduction to Calculus.  Students will use advanced functions of graphing calculators. A TI-83+ or TI-84+ calculator is required.  AP Pre-Calculus is strongly recommended for students who earned a B or higher in the first semester of Math 3A or a C or higher in the first semester of Math 3B.

**Highly motivated and high-achieving Math 2 students may have the opportunity to enroll in both Math 3B and AP Pre-Calculus simultaneously. However, both courses are fast-paced and demanding, requiring a commitment of at least 45–60 minutes of study outside the classroom per class each day. Department approval is required for enrollment.

Dual Credit Calculus (City Colleges Math 207)

Course Number: 471201A

Prerequisites: College Algebra or AP Pre-Calculus; For Dual Credit: Minimum GPA of 2.5, 90% attendance rate, and CCC ALEKS placement test score of 76+

Credits: 1

Homework Expectation: The specific amount of time needed outside of class will vary for each student, but students should anticipate spending about 60 minutes on homework or studying between classes.     

Dual Credit Calculus is intended for high achieving students who have a passion for studying mathematics. The course extends the opportunity for students to take an in-depth look at complex problems, develop the theoretical ideas behind them and implement strategies to solve them without the time constraints of the AP test. Topics include functions, graphs, limits, derivatives and integrals.  Successful completion of Dual Credit Calculus will prepare students for college level coursework in mathematics.  Students in this course will not take the AP Calculus exam.  Students will receive CCC dual credit for both semesters. Dual Credit Calculus is strongly recommended for students who earned a C or higher in the first semester of College Algebra or D or higher in the first semester of AP Pre-Calculus.

AP Calculus AB

Course Number: 471101A

Prerequisites: AP Pre-Calculus 

Credits: 1

Homework Expectation: The specific amount of time needed outside of class will vary for each student, but students should anticipate spending about 60-75 minutes on homework or studying between classes.     

AP Calculus AB is a college level calculus class equivalent to one semester of college calculus. This course follows the syllabus of Advanced Placement AB Calculus and includes topics such as limits, derivatives, and integration. Students examine a variety of functions both theoretical and practical, applying differential and integral calculus.  Students demonstrate their knowledge graphically, algebraically, and numerically, as well as write concise mathematical solutions. Technology plays a key role in developing conceptual understanding throughout the course.  A TI-83+ or TI-84+ calculator is required. Anticipated course load is about an hour of homework every class period.  A summer assignment is also given with this course and is due the first week of school.  AP Calculus AB is strongly recommended for students who earned a C or higher in the first semester of AP Pre-Calculus. 

AP Calculus BC

Course Number: 472101A

Prerequisites: AP Pre-Calculus

Credits: 1

Homework Expectation: The specific amount of time needed outside of class will vary for each student, but students should anticipate spending about 60-75 minutes on homework or studying between classes.                                

AP Calculus BC is a college level calculus class equivalent to two semesters of college calculus. This course includes all topics in the Calculus AB course plus topics for the BC curriculum, including parametric, polar, and vector functions, applications of integrals, and polynomial approximations and series.  Technology continues to play a key role in this course.  A TI-83+ or TI-84+ calculator is required. Anticipated course load is about an hour of homework every class period.   A summer assignment is also given with this course and is due the first week of school.  AP Calculus BC is strongly recommended for students who earned a B or higher in the first semester of AP Pre-Calculus.

Multivariable Calculus

Course Number: 470101H

Prerequisites: AP Calculus AB or BC 

Credits: 1

Homework Expectation: The specific amount of time needed outside of class will vary for each student, but students should anticipate spending about 30 minutes on homework or studying between classes.   

Multivariable Calculus is a rigorous extension of previous calculus courses. Topics include graphing in 3 dimensions, vectors, dot and cross products, multivariable functions, partial derivatives, the chain rule, optimization, double and triple integrals, and the calculus of vector fields. At the conclusion of this class, students will be prepared for a challenging Calculus 3 class in college.  This course is discovery-based. Students will complete activities in class with their groups that reveal new knowledge, and then will be expected to apply it on problems at home. The course will also include assignments and projects where students will investigate mathematical topics outside of the standard calculus curriculum.  While this course covers challenging mathematics, the pace is slower than that of AP Calculus. Students coming from AP Calculus AB are able to take this course, and will not be at a disadvantage compared to those who took Calculus BC. 

Financial Algebra

Course Number: 494201R

Prerequisites: Math 3; Senior standing 

Credits: 1

Homework Expectation: The majority of work can usually be finished in class with the remaining taking approximately 15 - 30 minutes outside of class per block.  Projects will take more time outside of the classroom.                           

Mathematics plays a fundamental role in today’s world, including our complex financial environment. Using 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: behavioral economics, investments, the stock market, banking, consumer credit, insurance, taxation, student loans, home buying versus renting, budgeting and retirement planning. This is a regular level course.