| | This is the first in a sequence of mathematics courses designed to prepare students to enter college at the calculus level. It includes radical, polynomial and rational expressions, basic functions and their graphs, simple equations, fundamentals of proof, properties of polygons, coordinate geometry, sample statistics, and curve fitting. Instruction and assessment should include the appropriate use of manipulatives and technology. Topics should be represented in multiple ways, such as concrete/pictorial, verbal/written, numeric/data-based, graphical, and symbolic. Concepts should be introduced and used, where appropriate, in the context of realistic phenomena. | Yes | | | This is the second in a sequence of mathematics courses designed to prepare students to enter college at the calculus level. It includes complex numbers; quadratic, piecewise, and exponential functions; right triangles, and right triangular trigonometry; properties of circles; and statistical inference. Instruction and assessment should include the appropriate use of manipulatives and technology. Topics should be represented in multiple ways, such as concrete/pictorial, verbal/written, numeric/data-based, graphical, and symbolic. Concepts should be introduced and used, where appropriate, in the context of realistic phenomena. | Yes | | | This is the third in a sequence of mathematics courses designed to prepare students to enter college at the calculus level. It includes exponential and logarithmic functions, matrices, and polynomial functions of higher degree, conic sections, and normal distributions. (Prerequisite: Instruction and assessment should include the appropriate use of manipulatives and technology. Topics should be represented in multiple ways, such as concrete/pictorial, verbal/written, numeric/data-based, graphical, and symbolic. Concepts should be introduced and used, where appropriate, in the context of realistic phenomena. | No | | | This is a course in pre-calculus and statistics, designed to prepare students to enter college at the calculus level. It includes rational, trigonometric, and inverse trigonometric functions; basic trigonometric identities and the laws of sines and cosines; sequences and series; vectors; the central limit theorem and confidence intervals. Instruction and assessment should include the appropriate use of manipulatives and technology. Topics should be represented in multiple ways, such as concrete/pictorial, verbal/written, numeric/data-based, graphical, and symbolic. Concepts should be introduced and used, where appropriate, in the context of realistic phenomena. | No | | | This is the first in a sequence of mathematics courses designed to prepare students to take AB or BC Advanced Placement Calculus. It includes radical, polynomial and rational expressions; functions and their graphs; quadratic and radical equations; fundamentals of proof; properties of polygons, circles and spheres; coordinate geometry; sample statistics and curve fitting. Instruction and assessment should include the appropriate use of manipulatives and technology. Topics should be represented in multiple ways, such as concrete/pictorial, verbal/written, numeric/data-based, graphical, and symbolic methods. Concepts should be introduced and used, where appropriate, in the context of realistic phenomena. | Yes | | | This is the second in a sequence of mathematics courses designed to prepare students to take AB or BC Advanced Placement Calculus. It includes right triangle trigonometry; exponential, logarithmic, and higher degree polynomial functions; matrices; linear programming; vertex-edge graphs; conic sections; planes and spheres; population means, standard deviations, and normal distributions. (Prerequisite: Instruction and assessment should include the appropriate use of manipulatives and technology. Topics should be represented in multiple ways, such as concrete/pictorial, verbal/written, numeric/data-based, graphical, and symbolic methods. Concepts should be introduced and used, where appropriate, in the context of realistic phenomena. | Yes | | | This is a course in pre-calculus and statistics, designed to prepare students to take AB or BC Advanced Placement Calculus. It includes rational, circular trigonometric and inverse trigonometric functions; basic trigonometric identities and the laws of sines and cosines; sequences and series; polar and parametric equations; vectors; the central limit theorem and confidence intervals. Instruction and assessment should include the appropriate use of manipulatives and technology. Topics should be represented in multiple ways, such as concrete/pictorial, verbal/written, numeric/data-based, graphical, and symbolic. Concepts should be introduced and used, where appropriate, in the context of realistic phenomena. | No | | | Extends Algebra I theory by emphasizing absolute value, polynomial, rational, radical inverse, exponential, and logarithmic functions, irrational and complex numbers, graphing, systems, inequalities, statistics, sequences and series. | No | | | Uses informal and formal logical reasoning process to study congruence, similarity, parallelism, symmetry, perpendicularity, and application. Algebraic skills are integrated. | Yes | | | Emphasizes real and complex numbers, vectors, matrices, sequences, series, probability, statistics, conic sections, functions, and problem solving. | No | | | Emphasizes real and complex numbers, vectors, matrices, sequences, series, probability, statistics, analytical geometry, functions, and problem solving and trigonometry. Stresses interrelationships of concepts. | No | | | The study of objects and ideas that can be divided into separate or discontinuous parts including reasoning, decision making, graph theory, combinatorics, discrete probability, recursion, matrices, sets, logic, real number system and algebraic structures. | No | | | Emphasizes developing statistical concepts through data collection, analysis, graphing, simulation, randomness, probabilities, and the study of inference and their applications to real life situations. | No | | | Follows the College Board syllabus for the Advanced Calculus AB Examination. Includes properties of functions and graphs, limits and continuity, differential calculus, and integral calculus. | No | | | Follows the College Board syllabus for the Advanced Placement Statistics Examination. Covers four major themes: exploratory analysis, planning a study, probability, and statistical inference. | No |
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