Grade 11 - Mathematics
Algebra 2 Honors A - Semester 1 (Credit: 0.50)This course further extends the learner’s understanding of major algebra concepts, and prepares them with the building blocks needed to dive deeper into trigonometry, pre-calculus and advanced probability and statistics. Topics include radicals, quadratic functions and equations, polynomials, rationals, systems of equations and inequalities, exponents and logarithms, sequences and series, probability and statistics and trigonometry. In the honors course, students will do in depth study, problem-solving and application of algebraic concepts.
Interpret key features of linear functions and their graphs in a context, solving linear equations when necessary.
Explain the connection between rational exponents and radicals, and become fluent with complex numbers.
Sketch, transform and solve maximizing or minimizing problems with quadratic functions, using the technique of completing the square.
Solve quadratic equations using many different techniques.
Use and explain the remainder theorem and factor theorem to analyze polynomial functions.
Sketch and dissect rational functions, examining end behavior and exploring applications.
Algebra 2 Honors B - Semester 2 (Credit: 0.50)This course further extends the learner’s understanding of major algebra concepts, and prepares them with the building blocks needed to dive deeper into trigonometry, pre-calculus and advanced probability and statistics. Topics include radicals, quadratic functions and equations, polynomials, rationals, systems of equations and inequalities, exponents and logarithms, sequences and series, probability and statistics and trigonometry. In the honors course, students will do in depth study, problem-solving and application of algebraic concepts.
Use linear and non-linear inequalities to represent solution sets algebraically and graphically.
Model real world situations using exponential and logarithmic functions and explore by graphing and solving.
Work with geometric and arithmetic sequences and series.
Explore and apply probability in a variety of contexts.
Make inferences using statistical analyses.
Explore, apply, graph and transform trigonometric functions.
Algebra 2A - Semester 1 (Credit: 0.50)This course further extends the learner’s understanding of major algebra concepts, and prepares them with the building blocks needed to dive deeper into trigonometry, pre-calculus and advanced probability and statistics. Topics include radicals, quadratic functions and equations, polynomials, rationals, systems of equations and inequalities, exponents and logarithms, sequences and series, probability and statistics and trigonometry.
Interpret key features of linear functions and their graphs in a context, solving linear equations when necessary.
Explain the connection between rational exponents and radicals, and become fluent with complex numbers.
Sketch, transform and solve maximizing or minimizing problems with quadratic functions, using the technique of completing the square.
Solve quadratic equations using many different techniques.
Use and explain the remainder theorem and factor theorem to analyze polynomial functions.
Sketch and dissect rational functions, examining end behavior and exploring applications.
Algebra 2B - Semester 2 (Credit: 0.50)This course further extends the learner’s understanding of major algebra concepts, and prepares them with the building blocks needed to dive deeper into trigonometry, pre-calculus and advanced probability and statistics. Topics include radicals, quadratic functions and equations, polynomials, rationals, systems of equations and inequalities, exponents and logarithms, sequences and series, probability and statistics and trigonometry.
Use linear and non-linear inequalities to represent solution sets algebraically and graphically.
Model real world situations using exponential and logarithmic functions and explore by graphing and solving.
Work with geometric and arithmetic sequences and series.
Explore and apply probability in a variety of contexts.
Make inferences using statistical analyses.
Explore, apply, graph and transform trigonometric functions.
AP Calculus (BC) A (Credit: 0.50)AP Calculus BC is roughly equivalent to both first and second semester college calculus courses and extends the content learned in AB to different types of equations and introduces the topic of sequences and series. The AP course covers topics in differential and integral calculus, including concepts and skills of limits, derivatives, definite integrals, the Fundamental Theorem of Calculus, and series. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations. Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions.
AP Calculus (BC) B (Credit: 0.50)AP Calculus BC is roughly equivalent to both first and second semester college calculus courses and extends the content learned in AB to different types of equations and introduces the topic of sequences and series. The AP course covers topics in differential and integral calculus, including concepts and skills of limits, derivatives, definite integrals, the Fundamental Theorem of Calculus, and series. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations. Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions.
AP Calculus AB A (Credit: 0.50)This AP Calculus course is designed with the intent for students to incorporate the concepts of all previous math courses and expand upon these concepts with the implementation of Limits. Emphasis is placed upon the multi-representational approach to calculus where problems and their solutions are explored and interpreted graphically, numerically, analytically and verbally. Students will also be required to explain their answers in written form and will be asked to compare their written response to the AP grading rubric and explain why they feel they should receive that grade. Students are required to use graphing calculators with the capabilities ascribed by the College Board: (apcentral.collegeboard.com). These calculators will be used in a variety of ways including multi-representation of equations (graphs and tables) and also for conducting explorations with various functions and how different values change the look of the function.
AP Calculus AB B (Credit: 0.50)This AP Calculus course is designed with the intent for students to incorporate the concepts of all previous math courses and expand upon these concepts with the implementation of Limits. Emphasis is placed upon the multi-representational approach to calculus where problems and their solutions are explored and interpreted graphically, numerically, analytically and verbally. Students will also be required to explain their answers in written form and will be asked to compare their written response to the AP grading rubric and explain why they feel they should receive that grade. Students are required to use graphing calculators with the capabilities ascribed by the College Board: (apcentral.collegeboard.com). These calculators will be used in a variety of ways including multi-representation of equations (graphs and tables) and also for conducting explorations with various functions and how different values change the look of the function.
AP Statistics A (Credit: 0.50)This High School AP Statistics is a preparatory AP course that introduces students to selecting statistical methods, analyzing data, using simulations and probability, as well as statistical argumentation. In part A, students will explore:
One-variable Data
Two-Variable Data
Collecting Data
Probability
Modeling probability
Sample Proportions and the Central Limit Theorem.
Students will be required to answer questions using proper language associated with the AP Statistics exam. Students are required to use graphing calculators. This course will demonstrate the use of a TI-84 calculator in preparation for the AP exam.
AP Statistics B (Credit: 0.50)This High School AP Statistics is a preparatory AP course that introduces students to selecting statistical methods, analyzing data, using simulations and probability, as well as statistical argumentation. In part B, students will explore:
Hypothesis Testing for Proportions
Testing Two Proportions
Hypothesis Testing for Means
Testing Two Means and Matched Pairs
Chi-Square Testing
Inferences About Slops
Students will be required to answer questions using proper language associated with the AP Statistics exam. Students are required to use graphing calculators. This course will demonstrate the use of a TI-84 calculator in preparation for the AP exam.
Calculus A (Credit: 1.00)This High School Calculus course is designed with the intent for students to incorporate the concepts of all previous math courses and expand upon these concepts with the implementation of limits. Emphasis is placed upon the multi-representational approach to calculus where problems and their solutions are explored and interpreted graphically, numerically, analytically, and verbally. Students will also be required to explain their answers in written form and will be asked to compare their written response to the grading rubric and explain why they feel they should receive that grade. Students are required to use graphing calculators. These calculators will be used in a variety of ways including multi-representation of equations (graphs and tables) and for conducting explorations with various functions and how different values change the look of the function.
Calculus B (Credit: 0.50)This High School Calculus course is designed with the intent for students to incorporate the concepts of all previous math courses and expand upon these concepts with the implementation of limits. Emphasis is placed upon the multi-representational approach to calculus where problems and their solutions are explored and interpreted graphically, numerically, analytically, and verbally. Students will also be required to explain their answers in written form and will be asked to compare their written response to the grading rubric and explain why they feel they should receive that grade. Students are required to use graphing calculators. These calculators will be used in a variety of ways including multi-representation of equations (graphs and tables) and for conducting explorations with various functions and how different values change the look of the function.
Integrated Math 3 A - Semester 1 (Credit: 0.50)Integrated Algebra and Geometry Level 3A
Students in Integrated Math III will focus on pulling together and applying the accumulation of learning that they have from their previous courses. They will apply methods from probability and statistics. Students will expand their repertoire of functions to include polynomial, rational, and radical functions. They will expand their study of right triangle trigonometry. Students will use all of their experience with functions and geometry to create models and solve contextual problems.
Integrated Math 3 B - Semester 2 (Credit: 0.50)Integrated Algebra and Geometry Level 3A
Students in Integrated Math III will focus on pulling together and applying the accumulation of learning that they have from their previous courses. They will apply methods from probability and statistics. Students will expand their repertoire of functions to include polynomial, rational, and radical functions. They will expand their study of right triangle trigonometry. Students will use all of their experience with functions and geometry to create models and solve contextual problems.
Math Essentials A (Credit: 0.50)Students begin the first semester of this course with a review of how to use basic arithmetic operations with whole numbers, integers, fractions, mixed numbers, and decimals. More complex concepts are built on these basics. Students revisit simplifying order of operation problems. They will also learn how to apply the properties of addition and multiplication, as well as the distributive property, to equation solving. This semester ends with a review of solving inequalities in one- and two-steps.
Math Essentials B (Credit: 0.50)In the second semester of the Math Essentials online course, students apply all of their first semester knowledge to a variety of relevant topics. They learn the relationship among ratios, rates, and proportions, and solve daily problems using proportional reasoning. Students also look at the connection between fractions, decimal numbers, and percentages. They solve problems related to tipping, commissions, interest, and percentage increase or decrease. Next students revisit their coordinate plane and linear function knowledge, expanding their horizons by applying these concepts to other function families. The course then moves to everyday geometric concepts such as perimeter, area, and volume. Students end their year of study with a critical look at scatterplots in the real-world.
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