# MATHEMATICS Department Chair: Michael Cordova - mccordova@dcsdk12.org

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1 MATHEMATICS Department Chair: Michael Cordova - mccordova@dcsdk12.org Course Offerings Grade 9 Algebra I Algebra II/Trig Honors Geometry Honors Geometry Grade 10 Integrated Math II ( only) Algebra I Algebra II/Trigonometry Honors Algebra II/Trig Math Tutor Geometry Honors Geometry Grade 11 Integrated Math II ( only) Algebra I Algebra II Algebra II/Trigonometry Honors Algebra II/Trig Geometry College Algebra Math Tutor AP Statistics Calculus III Differential Equations Grade 12 Integrated Math II ( only) College Math College Algebra Algebra II Algebra II/Trigonometry Geometry Discrete Math Math Tutor AP Statistics Calculus III Differential Equations Probability and Statistics It is highly recommended that students who plan to continue in math purchase a TI83 Plus/TI84 or TI 84/Nspire. All Math students are expected to have a calculator for use. Ask Teacher for recommendations. For further information on these courses see Mathematics course descriptions. Course Symbol Key: + weighted Concurrent Enrollment/Dual Credit course is part of a certification program ^ Hybrid 64

2 Course Descriptions 60480S1/60480S2 Integrated Math II (Only offered ) Grades: 10, 11, 12 Prerequisite: Integrated Math 1; teacher recommendation and 84. Students will master the following critical areas: (1) solve quadratic equations; graph quadratic functions; compare the key characteristics of quadratic functions to those of linear and exponential, (2) analysis of transformations to prove and use conjectures about polygon similarity and extend to trigonometry including identities; (3) analytic geometry that connect algebra and geometry including measurement contexts and the Pythagorean Theorem; (4) prove basic theorems about properties of circles and using the Cartesian coordinate system to explore circles and parabolas; (5) interpret probabilities to make informed decisions S1/60400S2 Algebra I Grade: 9, 10,11 Prerequisite: 8th Grade math or equivalent Fee: Graphing Calculator TI-83/TI-84 or TI-84 This course will cover topics that include: manipulation of algebraic equations and inequalities; appropriate order of operations; application of linear models; quadratic and variation models; graphing linear, quadratic, and exponential functions; polynomials, factoring, and radicals; representation of data and utilization of ratios; proportions; percent; measurements; similarity; and probability in the context of real world problems. Integration of some Geometry topics may be introduced S1/60440S2 Algebra II Prerequisite: Teacher recommendation and signature Fee: Graphing Calculator TI-83/TI-84 or TI-84. Students study algebraic equations and functions. Other topics include linear inequalities, systems of equations, polynomials, factoring, rational expressions, radicals, and solving quadratic equations. Real world applications are included S1/60590S2 Algebra II/Trig Prerequisite: Successful completion of Algebra I and Geometry; teacher recommendation & 84 This course will integrate the topics of advanced functions, linear systems, matrix operations, advanced probability and statistics, rational, exponential and logarithmic functions, right triangle trigonometry, periodic functions, quadratic models, conic sections, sequences and series, as well as early trig relations and identities S1/60550S2 Honors Algebra II/Trig Grade: 9, 10, 11 Prerequisite: Successful completion of Algebra I and Geometry; teacher recommendation & 84 Algebra II/ Trig Honors is an accelerated Algebra II course for students who want a challenging, fastpaced math course and intend to attend college in a math or science related major. Students who plan to take Advanced Placement Calculus should take this course. This course will integrate the topics of advanced functions, linear systems, matrix operations, advanced probability and statistics, rational, exponential and logarithmic functions, right triangle trigonometry, periodic functions, quadratic models, conic sections, sequences and series, as well as early trig relations and identities. A pre-test audition for honors-level ability and aptitude may be required. Course Symbol Key: + weighted Concurrent Enrollment/Dual Credit course is part of a certification program ^ Hybrid 65

3 60475S1/60475S2 Geometry Prerequisite: Teacher recommendation and 84 Geometry includes: inductive and deductive reasoning; properties of triangles, quadrilaterals, circles; triangle congruencies; transformations; area; volume; perimeter, and surface area. Other topics include coordinate geometry; capacity, similarity; relationships between triangles; quadrilaterals; polygons. A study of right triangle trigonometry and relationships will be included. Applications of real-world context with discovery will be used to apply geometric concepts. The course relies on Algebra I review. The course is for designed for students with at least average algebra skills S1/60450S2 Honors Geometry Grade: 9, 10 Prerequisite: Successful completion of Alg.I with a grade of A or B. Teacher recommendation & signature is required. 84. Geometry is an accelerated geometry course for students who want a challenging, fast paced math course. In addition to the topics in Geometry, the honors course will place an emphasis on proof of geometric and algebraic properties and apply real world applications to geometric concepts. An audition test may be required for honors-level ability S1/60611S2 Prerequisite: Teacher recommendation & Fee: Graphing Calculator TI-84 or TI-84 This course covers the study of trigonometric and circular functions and their applications, analytical geometry, and other advanced analytical topics to prepare for the study of Calculus S1/60752S2 Prerequisite: Teacher recommendation & Fees: Graphing Calculator TI83 Plus/TI-84 or TI-84 This course covers the study of trigonometric and circular functions and their applications, analytical geometry, and other advanced analytical topics to prepare for the study of Calculus S1/60625S2 + Prerequisite: Honors Trig/PreCalculus, Trig/PreCalculus and/or teacher recommendation. Fee: AP Exam \$89, textbook, Graphing Calculator TI-83/TI-84 or TI-84. Students study the college Board AB level calculus syllabus. Topics covered include limits, differentiation, integration, and problem solving involving calculus concepts. This course is the equivalent of one semester college calculus course and leads to the national AP exam in May S1/60650S2 + Prerequisite: Honors Trig/PreCalculus and/or teacher recommendation. Fee: AP Exam \$89, textbook, Graphing Calculator TI-83/TI-84 or TI-84. Students study the College Board BC level calculus syllabus. Major topics covered include differentiation, integration, series and problem solving involving calculus concepts. This course is the equivalent of two semesters college calculus course and leads to the national AP exam in May S1 Calculus III + Prerequisite: Successful completion of AP Calculus BC. Fee: It is highly recommended that students purchase a TI-83 (or higher) graphing calculator. This semester-long course represents the continuation of the calculus sequence. It is a systematic approach to the understanding of multivariable calculus. Topics include: vectors and vector valued functions, functions of several variables, multiple integrals, and vector analysis. Course Symbol Key: + weighted Concurrent Enrollment/Dual Credit course is part of a certification program ^ Hybrid 66

4 60660S2 Differential Equations Credit: Prerequisite: Successful completion of Calculus III Fee: None This semester-long course further represents the continuation of the calculus sequence. Differential equations are widely used as a tool for modeling diverse phenomena ranging from population growth to elementary particles. Topics include first order equations, linear equations with constant coefficients; higher order equations, Laplace transforms, and systems of equations and applications S1/60570S2 College Algebra Grade: 11,12 Prerequisite: Algebra II/Trig with a grade of C or higher or teacher recommendation 84 This course is for the college bound student and will cover algebra and trigonometry concepts, functions, graphs and applications College Math Grade: 12 Prerequisite: Algebra II 84. This course is designed for college bound students interested in business, social sciences, and communications. Graphing technology will be used to solve real problems from these fields S1/60801S2 AP Statistics + Grades: 11,12 Prerequisite: Successful completion of Algebra II or higher Fee: AP Exam \$89 and AP Stat Textbook. Graphing Calculator TI83 Plus/TI-84 or TI-84 The purpose of this course is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data.; Students are exposed to broad conceptual themes such as:; exploring data, sampling and experimentation, anticipating patterns, and statistical influence Probability and Statistics (S1) Grade: 12 or teacher recommendation Prerequisite: Algebra I or equivalent 84, required. This course is designed as a 12 th grade option for students who complete Integrated 2 The purpose of this course is to explore the meaning of statistics encountered in everyday life. The emphasis will be on understanding and interpreting, rather than computing, through exploration of real life situations that involve statistical concepts. Students are also exposed to topics and problems that involve probability rules. Real world situations will be presented Discrete Math (S2) Grade: 12 or teacher recommendation Prerequisite: Algebra I or equivalent 84, required. This course is designed as a 12 th grade option for students who complete Integrated 2. This course is designed for students interested in business, communications, and social studies. Students will use graphing calculators to solve real world problems. This course is a continuation that follows Prob/Stats S Math Tutor Prerequisite: Teacher Recommendation This course is for students with an A in Algebra II or above and can provide help in Algebra, Geometry and Algebra II classes as a peer tutor. Course Symbol Key: + weighted Concurrent Enrollment/Dual Credit course is part of a certification program ^ Hybrid 67

5 MATHEMATICS HYBRID Course Descriptions ^Hybrid/Blended Learning Courses: Blended Learning (BL) classes offered at Legend High School consist of a mixture of in-class and out-of-theclassroom instruction. These Moodle-implemented hybrid classes, facilitated by a cooperating teacher, may meet on a daily or weekly basis (individual instructors will designate the learning blend) which gives students some control over the time, place, path and/or pace of their learning. It will be an expectation that students complete assigned coursework through teacher-guided and self-guided learning. It is imperative that students demonstrate proficiency in their learning while taking a BL class. Students who demonstrate partialproficiency or fall behind in their learning will be required to meet with their classroom teacher for the entirety of every normal class period--no out-of-class opportunities). Remember, BL classes are for highly-motivated learners who want more options in how, where, and when they can demonstrate their learning H60590S1/H60590S2 Algebra II/Trig ^ ^Hybrid Prerequisite: Successful completion of Algebra I and Geometry; teacher recommendation & 84 This course will integrate the topics of advanced functions, linear systems, matrix operations, advanced probability and statistics, rational, exponential and logarithmic functions, right triangle trigonometry, periodic functions, quadratic models, conic sections, sequences and series, as well as early trig relations and identities. H60752S1/H60752S2 Hnrs Trig/Pre-Calc ^ ^Hybrid Prerequisite: Teacher recommendation & Fees: Graphing Calculator TI83 Plus/TI-84 or TI- 84 Note: Students who have completed Honors Algebra 2 and Honors Geometry will take Honors Trig/Pre-Calc. Students who have completed Honors Geometry but not Honors Algebra 2 will take Honors Algebra 2 This course covers the study of trigonometric and circular functions and their applications, analytical geometry, and other advanced analytical topics to prepare for the study of Calculus. Course Symbol Key: + weighted Concurrent Enrollment/Dual Credit course is part of a certification program ^ Hybrid 68

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