CHAMPS Charter High School of the Arts - Multimedia and Performing

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Mathematics » Course of Studies

Course of Studies

Introduction to Algebra  - Core/College Preparatory

This course is designed to deliver the contents covered in Algebra 2, Statistics, and Trigonometry. In addition to the academic contents, the course will allow the students to connect abstract algorithms to the solid applications and models of the real world. In this course, students gain the knowledge required to graph and interpret linear equations and solve systems of equations and systems of inequalities. In order to build up to this level of algebraic concepts, students spend the year building upon foundational concepts such as operations using integers and rational numbers, representing and manipulating data in decimals, percents and fractions, solving multi-step equations, and interpreting word problems and translating the information into logical mathematical arguments.

 

Algebra 1AB  - Core/College Preparatory

Algebra 1AB is the foundation for high school mathematics courses, requiring satisfactory completion of a math placement exam. It bridges the concrete to the abstract in practical mathematical applications. A strong foundation in working with fractions, decimals, percentages, and arithmetic operations is necessary for successful completion of this course. Students learn properties of exponents, polynomials, namely, quadratics, factoring, various relations and functions, and rational and radical expressions and equations.

 

Geometry AB  - Core/College preparatory

The prerequisite of Geometry AB is Algebra IAB with a grade of "C" or better for each semester or a satisfactory score on the math placement exam.  The focus of Geometry AB is to build upon abstract and logical thinking through the use of deductive and inductive reasoning and forming valid arguments via proof writing. A strong foundation in algebra is necessary for successful completion of this course. Students explore the following topics: two-dimensional and three-dimensional space; points, lines, planes; angles; deductive reasoning and proof writing; congruent and similar polygons; coordinate geometry; plane transformations; quadrilaterals; right triangles; circles; geometric constructions; and areas and volumes of solids.

 

Geometry AB Honors  - Core/College preparatory

Honors Geometry is offered to students in ninth, tenth and eleventh grade. It is designed for the advanced mathematical students who are able to grasp abstract mathematical concepts easily, and who have performed at a high level of accuracy in Algebra IAB. The topics included are reasoning and proof, parallel and perpendicular lines, triangle relationships, similarity, right triangles, trigonometry, transformations, properties of circles, measurement of figures and solids and probability. Advanced algebra skills are used frequently, which will enable students to see how geometry and algebra complement one another. Students use visualizations, spatial reasoning, and geometric modeling to solve problems.

 

Algebra 2AB  - Core/College Preparatory

The prerequisite of Algebra 2AB is Geometry AB with grade of "C" or better for each semester.  Students gain experience in several content areas, quadratic functions and polynomials, radical and rational functions, logarithmic and exponential functions, sequences and series and graphing conic sections including circles, parabolas, ellipses and hyperbolas.

 

Algebra 2AB Honors  - Core/College Preparatory

The emphasis of Algebra 2 Honors is the alignment to the Common Core Standards, the use of real life application and modeling, and exploration of appropriate technology such as computer software and graphing calculators. The Honors lessons are designed to challenge the students to their optimum abilities and students are expected to take responsibilities of their own learning. This course is designed to deliver the contents covered in Algebra 2, Statistics, and Trigonometry. In addition to the academic contents, the course will allow the students to connect abstract algorithms to the solid applications and models of the real world.

 

Advanced Algebra with Financial Applications  - Core/College Preparatory/Elective

The prerequisite of this course is Geometry AB. This course includes selected topics from Algebra 2, Precalculus, Statistics and Probability and Geometry that are taught at an ability-appropriate level for the Algebra 1 and Geometry prerequisite audience. This course can be taken in place of Algebra 2AB, or as an elective course in conjunction with any other math course beyond Geometry AB. The goal is to link math topics such as piecewise functions, linear and quadratic regression, limits, optimization, exponential functions, area and perimeter, box and whisker plots and spreadsheets to financial topics such as business planning, investing, credit, budgeting, automobile and home ownership, income taxes and independent living to create a cohesive course of mathematical connections to the real world.

 

Precalculus – Core/College Preparatory

The prerequisite of Pre-Calculus is Algebra 2AB with grade of "C" or better for both semesters.  Students gain a thorough understanding of polynomial, rational, exponential, logarithmic, and trigonometric functions. Students are introduced to basic linear algebra concepts such as working with determinants to find the inverse of a square matrix, and applications of determinants and matrices. Students are introduced to polar graphs and equations, parametric graphs and equations, and limits.

 

AP Calculus – Core/College preparatory

 The prerequisite of AP Calculus is Pre-Calculus with a grade of "C" or better for both semesters. This course is designed to provide an understanding of the topics covered in a first semester college calculus course. A good understanding of polynomial, logarithmic, exponential, and trigonometric functions are essential. The course of study is broadly divided into three topics: 1. Limits and continuity 2. Derivatives 3. Integrals and the Fundamental Theorem of Calculus. Students will explore the many fascinating real-world applications of differentiation and integration such as rates of change, optimization and volumes of irregular solids. Active participation and independent study at home is necessary for success in this course. Students who successfully complete the course and exam may receive credit, advanced placement or both for a one-semester college calculus course.

 

AP Statistics – Core/College preparatory

The prerequisite of AP Statistics is Algebra 2AB with a grade of “C” or better. 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 four broad conceptual themes: 1. Exploring Data: Describing patterns and departures from patterns 2. Sampling and Experimentation: Planning and conducting a study 3. Anticipating Patterns: Exploring random phenomena using probability and simulation 4. Statistical Inference: Estimating population parameters and testing hypotheses. Students who successfully complete the course and exam may receive credit, advanced placement or both for a one-semester introductory college statistics course.