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Mathematics
The mathematics department offers classes ranging from Algebra I through Calculus and Statistics, in regular, honors, and Advanced Placement sequences. After the core subjects have been completed in a students' curriculum, we have 6 additional electives (at varying levels) from which the students can choose to enrich or enhance their mathematics education. While we continue to teach basic math concepts and skills that have been part of our curriculum for years, we recognize the need to be aware of the latest trends in mathematics education and implement effective ones. An emphasis on a multirepresentational approach to functions is made in all of our classes. We are currently aligning our curriculum to the Common Core State Standards.
We expect all of our teachers to be proficient in a wide variety of technology applications in their instruction; including LCD projectors, document cameras, graphing calculators, iPads, various software applications, and mobile computer labs. Group work and handson problem solving opportunities are provided to students throughout our curriculum. In addition to our commitment to the school wide initiative of improving the technology skills of our students, we include in our lessons activities that fully support the system wide literacy initiative.
The placement of students into honors classes is initially done by the Freshman Admissions Office standards based on entrance exam scores. After freshman year, the following guidelines are followed for Honors and Regular class placements:
 Regular Level: This level is open to all students in each grade level.
 Honors Level: This level is available for highly motivated students who meet the following criteria:
A semester grade of "A" in the current regular Math class (plus teacher recommendation) or a grade of "B" or higher in a current Honors Math class
Our best problem solvers are encouraged to join the math teamwhich competes in citywide, regional, and state competitions. We provide math support for students who fall behind in their classes through daily tutoring opportunities by math teachers during lunch in our "Math Lab"; after school tutoring through a daily classroom tutoring schedule; and on Saturday mornings at Lane throughout the school year. Tutorial CDs, online textbook access, and practice workbooks are available for students in the core subject areas (Algebra, Geometry, and Advanced Algebra with Trigonometry, and Precalculus). Students in our A.P. classes have access to additional software to prepare them for the A.P. exams.
Progamming Video
https://vimeo.com/channels/868238/118097242
Curriculum Map
H or R
Algebra I
OR
H
Advanced Algebra

H or R
Geometry

H or R
Advanced Algebra with Trigonometry
OR
R TrigPre Calculus
OR
H
TrigCalcStats

College Algebra
OR
Discrete Mathematics & Business Statistics
OR
Math in Art & History of Math
OR
Linear Algebra
OR
TrigPre Calculus
OR
AP Calculus AB
OR
AP Calculus BC
OR
AP Statistics

Note: Entering freshman may take more advanced math courses based on their Algebra Exit Exam score and previous credits received at CPS Academic Centers. Students may also choose to take the placement exam through Lane Tech.
Course Descriptions
Course Code: 435101H Course Title: Adv Algebra with Trigonometry
Level: H
Credit(s): 1.0 Semester(s): 2 
Description: This course extends the study of the major topics from algebra I to give students an opportunity to solve more difficult problems. There is a review of fundamental operations, linear and quadratic sentences and systems, rational and radical expressions and functions. Students study complex numbers and logarithms before learning the basic trigonometric functions. Students then use those functions and their properties to solve triangles and prove identities. Graphs of trigonometric and inverse trigonometric functions are analyzed. During the school year, time is set aside to prepare for the PSAE exam.
The Honors Alpha course is offered to students in the Alpha program who do not have a Advanced Algebra with Trigonometry credit. The teacher and supplementary course activities provide support on the topics of collecting and interpreting statistical data needed for science fair projects.
Suggested Prerequisites: Y 
Course Code: 435101R Course Title: Adv Algebra with Trigonometry
Level: R
Credit(s): 1.0 Semester(s): 2 
Description: This course extends the study of the major topics from algebra I to give students an opportunity to solve more difficult problems. There is a review of fundamental operations, linear and quadratic sentences and systems, rational and radical expressions and functions. Students study complex numbers and logarithms before learning the basic trigonometric functions. Students then use those functions and their properties to solve triangles and prove identities. Graphs of trigonometric and inverse trigonometric functions are analyzed. During the school year, time is set aside to prepare for the PSAE exam.
Suggested Prerequisites: Y 
Course Code: 413301H Course Title: Algebra 1
Level: H
Credit(s): 1.0 Semester(s): 2 
Description: This course introduces the student to the language of mathematics. Students will learn to use variables to describe patterns and numerical relationships. Students will learn to apply real number properties, perform operations on polynomials, solve linear and quadratic equations and inequalities, graph linear and quadratic functions and use appropriate mathematical models to solve realworld problems. The second semester involves the study of systems of linear equations and rational, exponential and radical expressions and functions.
The Honors Alpha course is offered to all students in the Alpha Program who do not have an algebra credit. The class provides those students with support on the topics of collecting and interpreting statistical data that are needed for science fair projects.
Suggested Prerequisites: N 
Course Code: 413301R Course Title: Algebra 1
Level: R
Credit(s): 1.0 Semester(s): 2 
Description: This course introduces the student to the language of mathematics. Students will learn to use variables to describe patterns and numerical relationships. Students will learn to apply real number properties, perform operations on polynomials, solve linear and quadratic equations and inequalities, graph linear and quadratic functions and use appropriate mathematical models to solve realworld problems. The second semester involves the study of systems of linear equations and rational, exponential and radical expressions and functions.
Suggested Prerequisites: N 
Course Code: 471101A Course Title: AP Calculus AB
Level: AP
Credit(s): 1.0 Semester(s): 2 
Description: Students are taught 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.
It is recommended that students interested in taking AP Calculus AB have an "A" or "B" in Honors Pre Calculus, Honors PreCalculusTrig, or Honors Telescopic Trig, or an "A" in Regular Pre Calculus, along with the recommendation of their current math teacher.
Suggested Prerequisites: Y
*All AP Courses are expected to have a $100 fee ($25 class fee and $75 exam fee).
The exact exam fee for testing in May 2016 will be released by the CollegeBoard in October 2015. This exam fee determines the total price that students will owe for each AP Course/exam. The AP exam fee may be fully or partially reduced for students with free/reduced lunch, per funding by district and state grants. The exact fee will be provided as soon as the district and state release their funding statement. 
Course Code: 472101A Course Title: AP Calculus BC
Level: AP
Credit(s): 1.0 Semester(s): 2 
Description: Students are taught 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.
It is recommended that students interested in taking AP Calculus BC be extremely fast learners, and the top math students in their classes  high "A" plus teacher recommendations. The BC class will learn all of the material of the AB class plus considerably more in the same timeframe.
Suggested Prerequisites: Y
*All AP Courses are expected to have a $100 fee ($25 class fee and $75 exam fee).
The exact exam fee for testing in May 2016 will be released by the CollegeBoard in October 2015. This exam fee determines the total price that students will owe for each AP Course/exam. The AP exam fee may be fully or partially reduced for students with free/reduced lunch, per funding by district and state grants. The exact fee will be provided as soon as the district and state release their funding statement. 
Course Code: 474101A Course Title: AP Statistics
Level: AP
Credit(s): 1.0 Semester(s): 2 
Description: This course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students will learn to recognize data patterns, design good surveys and experiments, make predictions using probabilities and simulations, and make statistical inferences (draw appropriate conclusions from data). Students who excel and score well on the AP test may earn college credit, advanced placement, or both for an introductory collegelevel course. A T183+/T184+ graphing calculator is required.
Students interested in AP Statistics should have a GPA of 3.5 or higher, and have completed Advanced Algebra with Trigonometry or Precalculus with Trigonometry. A's and B's in the honors level of the above classes, or A's in the regular level, are strongly recommended. AP Stats involves significantly more reading, writing, and analysis than a typical math class, so high grades in English are also recommended.
Suggested Prerequisites: Y
*All AP Courses are expected to have a $100 fee ($25 class fee and $75 exam fee).
The exact exam fee for testing in May 2016 will be released by the CollegeBoard in October 2015. This exam fee determines the total price that students will owe for each AP Course/exam. The AP exam fee may be fully or partially reduced for students with free/reduced lunch, per funding by district and state grants. The exact fee will be provided as soon as the district and state release their funding statement. 
Course Code: 458101R Course Title: College Algebra
Level: R
Credit(s): 1.0 Semester(s): 2 
Description: This course is designed for those students who need a more comprehensive review of algebra and geometry before studying college level mathematics. Students will review Algebra I & II topics during the first semester of the course. Advanced Algebra and topics that appear in the introductory part of Pre Calculus will be presented during the second semester. Upon completion of this course, students will be prepared to take a full semester of Pre Calculus in college. Some of the topics covered are: arithmetic; intermediate algebra including factoring and radical expressions; operations with polynomials; solving and graphing linear and quadratic equations and inequalities; absolute value equations & functions; rational exponents; rational functions; exponential and logarithmic functions; graphing and transformations of all basic parent functions and piecewise functions with domain and range; real and complex numbers; sequences and series; and basic matrices, such as operations of matrices and determinants of a 2x2 matrix.
Suggested Prerequisites: Advanced Algebra w/ Trig 
Course Code: 479101R Course Title: Discrete Mathematics
Level: R
Credit(s): 1.0 Semester(s): 2 
Description: This course is comprised of one semester of Business Statistics and one semester of Discrete Mathematics. The statistics semester will use realworld examples and investigations to explore some main Statistics topics: observational studies; displaying distributions and drawing conclusions from data and graphs; normal distributions; scatterplots, correlation and linear regression; and surveys and samples. Students will examine study designs, analyze data, interpret results and design and carrying out their own surveys. The Discrete Mathematics semester is logicbased and covers topics that are important to understanding current uses of mathematics in such fields as economics, biology, psychology, sociology, education, political science, business, engineering, and computer science (graphic design, software engineering, programming, messaging systems, cryptography, data mining). Both semesters of the course include unit projects, about 5 per semester. Both semesters are required for course credit.
Suggested Prerequisites: Advanced Algebra w/ Trig (can also be enrolled concurrently) 
Course Code: 434101H^G Course Title: Geometry w/ Algebra (Alpha9th)
Level: H
Credit(s): 1.0 Semester(s): 2 
Description: Students learn to analyze common geometric shapes and prove conjectures about properties of figures. Students learn how points, lines, segments, rays and angles are used to form polygons, circles and solids. Concepts of transformation, congruence, similarity, area, volume and right triangle trigonometry are studied. Deductive and indirect proofs are used to justify statements about geometric parts. Teachers and students have access to calculator and computer based geometry software that allows the user to create diagrams and explore relationships between figure components.
The Honors Alpha course is offered to students in the Alpha program who do not have a geometry credit. The teacher and supplementary course activities provide support on the topics of collecting and interpreting statistical data needed for science fair projects.
Suggested Prerequisites: Y 
Course Code: 434101HG9 Course Title: Geometry w/ Algebra (Grade 9)
Level: H
Credit(s): 1.0 Semester(s): 2 
Description: Students learn to analyze common geometric shapes and prove conjectures about properties of figures. Students learn how points, lines, segments, rays and angles are used to form polygons, circles and solids. Concepts of transformation, congruence, similarity, area, volume and right triangle trigonometry are studied. Deductive and indirect proofs are used to justify statements about geometric parts. Teachers and students have access to calculator and computer based geometry software that allows the user to create diagrams and explore relationships between figure components.
The Honors Alpha course is offered to students in the Alpha program who do not have a geometry credit. The teacher and supplementary course activities provide support on the topics of collecting and interpreting statistical data needed for science fair projects.
Suggested Prerequisites: Y 
Course Code: 434101RG9 Course Title: Geometry w/ Algebra (Grade 9)
Level: R
Credit(s): 1.0 Semester(s): 2 
Description: Students learn to analyze common geometric shapes and prove conjectures about properties of figures. Students learn how points, lines, segments, rays and angles are used to form polygons, circles and solids. Concepts of transformation, congruence, similarity, area, volume and right triangle trigonometry are studied. Deductive and indirect proofs are used to justify statements about geometric parts. Teachers and students have access to calculator and computer based geometry software that allows the user to create diagrams and explore relationships between figure components.
Suggested Prerequisites: Y 
Course Code: 415301R Course Title: History of Mathematics
Level: R
Credit(s): 0.5 Semester(s): 1 
Description: The History of Mathematics will provide an overview of aspects of the history of mathematics from ancient times to modern day. The course will consider both the growth of mathematical ideas and the context in which these ideas developed, in various civilizations around the world. Students will develop an understanding and appreciation of mathematics.
Suggested Prerequisites: Y 
Course Code: 415201R Course Title: Mathematics in Art
Level: R
Credit(s): 0.5 Semester(s): 1 
Description: This interdisciplinary course explores topics that marry art with mathematics. Students learn how mathematics is used to create art and design architecture through lecture, reading, and creation of their own designs. The course explores topics including ratio and proportion, perspective, symmetry, tilings, shapes, and digital art.
Suggested Prerequisites: Y 
Course Code: 468101H Course Title: Trig  Pre Calculus
Level: H
Credit(s): 1.0 Semester(s): 2 
Description: Honors PreCalculus is a rigorous course designed to prepare students for AP calculus or taking calculus in college.
The general theme of precalculus is functions. In the first semester, we expand on topics learned in algebra I and II, including polynomial, rational, exponential, logarithmic, and trigonometric functions.
In the second semester, we study some of the more advanced material that will drive future mathematical studies. Topics in S2 include: Vectors, Complex Numbers, Powers in the complex plane, Parametric functions, polar functions, matrices, counting (including the binomial theorem,) probability, conic sections, and partial fractions.
Suggested Prerequisites: Y 
Course Code: 468101R Course Title: Trig  Pre Calculus
Level: R
Credit(s): 1.0 Semester(s): 2 
Description: Pre Calculus expands upon previously mastered algebra skills learned in algebra I and advanced algebra with trigonometry. Elementary functions, sequences and series, matrices and determinants, theory of equations, partial fractions, probability and statistics and mathematical induction are studied. The analytic geometry part of the course involves the use of algebraic methods to analyze properties of the straight line, conic sections, and vectors. Parametric and polar functions are also studied.
Suggested Prerequisites: Y 
Course Code: 498281H Course Title: TrigCalcStats
Level: H
Credit(s): 1.0 Semester(s): 2 
Description: This course is designed for those students who received an "A" or a "B" in Honors Advanced Algebra their freshman year, along with an "A" or a "B" in Honors Geometry their Sophomore year. This is a TrigCalcStats course intended to prepare students for AP Statistics or AP Calculus with an emphasis in Trigonometry.
TrigCalcStats expands upon previously mastered algebra skills learned in algebra I and advanced algebra. Elementary functions, trigonometry, sequences and series, matrices and determinants, theory of equations, partial fractions, analytic geometry, and probability and statistics are studied. Parametric and polar functions are also studied.
Suggested Prerequisites: Y 
