Algebra 1A – UC Approved
Grade Level: 8th - 9th grade (Two Semesters)
Pre-requisite: Pre-Algebra A and B or Pre-Algebra and a qualifying score on the math placement test
Course description:
This course is the first part of a two-year program that is a combination of systematic, step-by-step computations and logical thinking. Following a review of decimals, exponents, transformations, and the basic laws of mathematics, this course stresses the structure of Algebra and the computation of problem solving skills. The course covers increasingly complex equation, operations with polynomials and radicals, quadratic equations, and linear graphing. Word problems using these methods are introduced. This course attempts to introduce these topics slowly, over a two-year period, in order to achieve maximum understanding of these difficult topics.
Algebra 1B – UC Approved
Grade level: 8th - 9th grade (Two Semesters)
Pre-requisite: Pre-Algebra A and B, Pre-Algebra, or Algebra 1A and a qualifying score on the math placement test
Course description:
This course is the second part of a two-year program that is a combination of systematic, step-by-step computations and logical thinking. Following a review of decimals, exponents, transformations, and the basic laws of mathematics, this course stresses the structure of Algebra and the computation of problem solving skills. The course covers increasingly complex equation, operations with polynomials and radicals, quadratic equations, and linear graphing. Word problems using these methods are introduced. This course attempts to introduce these topics slowly, over a two-year period, in order to achieve maximum understanding of these difficult topics.
Algebra 1 – UC Approved
Grade level: 8th – 9th grade (Two Semesters)
Pre-requisite: Pre-Algebra A and B or Pre-Algebra and a qualifying score on the math placement test
Course description:
This course is a combination of systematic, step-by-step computations and logical thinking. This course is designed to progress at a much faster pace than Algebra I A/B. The curriculum stresses the computation of problem solving skills. The student is given the basic law of Algebra and is expected to apply logic to arrive at solutions. After a review of fundamental arithmetic, this course covers integers, properties involved in solving equations, solving equations in various forms, inequalities exponents, factoring polynomials, applying the quadratic formula, rational expressions, and graphing. In addition students are expected to work on and solve problems that are at a higher level and require additional understanding and application than Algebra IA and B.
Geometry - UC Approved
Grade level: 9th - 11th grade (Two Semesters)
Pre-requisite: Algebra 1 or Algebra 1A and B and a qualifying score on the math placement test
Course description:
After an introduction to the most basic geometric concepts (points, lines, planes, and other basic concepts), this course covers parallel lines, transversals and association of angles, classifying triangles, angles in triangles, congruence postulates, theorems and definitions, polygons, quadrilaterals, trapezoids, right angles, trigonometric rations, volumes, graphing, and coordinate geometry. Analysis and formal proofs (both direct and indirect) are used throughout the course.
Algebra 2 - UC Approved
Grade level: 10th - 12th grade (Two Semesters)
Pre-requisite: Geometry and a qualifying score on the math placement test
Course description:
This course covers solving linear equations and inequalities, polynomials, factoring rational expression, the quadratic formula, complex numbers, coordinate geometry and functions, conic sections, quadratic systems of equations, logarithms, and exponential functions.
Algebra 2/Trigonometry Honors* - UC Approved
Grade level: 10th - 12th grade (Two Semesters)
Pre-requisite: A- (89.75%) or higher in Geometry, a qualifying score on the math placement test, and Math Department Head approval
Course description:
This honors course covers solving linear equations and inequalities, polynomials, factoring rational expression, the quadratic formula, complex numbers, coordinate geometry and functions, conic sections, quadratic systems of equations, logarithms, exponential functions and trigonometric functions, graphs, and laws. In addition to problems studied by the regular class, honors students work on and solve problems at a high level than the regular class.
*As an honors class this course requires students to do more work than a regular math class. The Math Department guidelines for honors classes emphasize the importance of higher order thinking skills and problem-solving skills within a rigorous academic context.
Statistics - UC Approval Pending
Grade level: 11th - 12th grade (Two Semesters)
Pre-requisite: Algebra 2 or Algebra 2/Trigonometry H or Math Analysis and a qualifying score on the math placement test
Course description:
This course is a study of data and its analysis. Students will be able to gather and analyze data for the mean, median, mode, and standard deviation. Students will also be able to find the normal curve to compare data sets and test hypothesis using different testing methods.
Pre Calculus Honors* - UC Approved
Grade level: 11th -12th grade (Two Semesters)
Pre-requisite: Algebra 2/Trigonometry H or Math Analysis, a qualifying score on the math placement test, and Math Department Head approval
Course description:
This honors course develops the base and some of the working tools for the study of more advanced mathematics. Practice in the fundamentals of algebra, geometry and trigonometry is provided while advanced topics are introduced and practiced. Logarithms are presented with a focus on logarithmic equations. Problem-solving skills are developed with a special consideration given top rate problems. Heavy emphasis is given to all phases of trigonometry including trigonometric functions and equations, trigonometric identities, and the equations and graphs of sinusoids. Other topics that are covered include matrices, determinants, arithmetic series, geometric series, conic sections, roots of higher order polynomial equations and function, including curve sketching.
*As an honors class this course requires students to do more work than a regular math class. The Math Department guidelines for honors classes emphasize the importance of higher order thinking skills and problem-solving skills within a rigorous academic context.
Calculus Advanced Placement* - UC Approved
Grade level: 12th grade (Two Semesters)
Pre-requisite: Pre Calculus H, a qualifying score on the math placement test, and Math Department Head approval
Course description:
This advanced placement course begins with an extensive review of the algebra, geometry, and trigonometry necessary for Calculus. Problem-solving skills are developed as students learn how to set up concrete and abstract word problems, Students concentrate on functions, with special emphasis on graphing, continuity, and limits. Several methods of differentiation are introduced and developed. Practical applications of the derivatives are considered. Students learn to integrate functions using a variety of rules and methods, with particular attention to the application of integers.
*As an Advanced Placement class meant to equal a freshman college course, this class requires students to do significantly more work than a regular math class. In order to succeed, students should possess solid problem-solving skills, along with a willingness to spend considerable time to homework and study. All students in this class will be expected to pay for and take the AP Calculus AB exam in May 2010; a primary class goal will be to prepare for this test. AP curriculum guidelines stress higher order thinking skills and problem-solving skills within a rigorous academic context.
|
