# Pikes Peak Christian School

## Christ-Centered Excellence # Mathematics Courses

ALGEBRA I
The student will study: expressions, equations, and functions; rational numbers; linear equations; ratios and proportions; graphing; solving linear inequalities and polynomials; factoring polynomials and equations; quadratic and exponential functions; rational and radical expressions.  In addition, students relate and apply the algebraic concepts to geometry, statistics, data analysis, probability, and discrete mathematics.
Prerequisite:  Pre-Algebra or Teacher recommendation
Grade: 9                Length: 1 year               Credit: 1

GEOMETRY (H)
The student will study the following geometrical concepts:  points, lines, planes and angles; reflections and symmetry; similarities and congruencies; triangles, polygons, and three-dimensional figures; areas, perimeters, surface areas and volumes; indirect and coordinate proofs.  Algebra and discrete mathematics will be integrated throughout this course. Students will gain skill in drawing, visualizing, and following algorithms; understand properties, mathematical relationships and proofs; use geometric ideas in real situations; and represent geometric concepts with coordinates, networks, or other diagrams.
Prerequisite:  Algebra I
Grades: 9, 10            Length: 1 year            Credit: 1

INTERMEDIATE ALGEBRA
This course is designed to prepare students who need additional reinforcement in basic algebra to succeed in Algebra II and is intended to be taken immediately prior to Algebra II.  The student will review equations of lines, polynomials, quadratic functions, and rational and radical expressions.  Logarithmic and exponential functions will be introduced.  Conics, sequences, and series may be explored.  In addition students will learn mathematical modeling and applications of math to different fields.
Prerequisite: Algebra I and Geometry
Grades:  10-12    Length:  1 year        Credit: 1

ALGEBRA II (H)
The student will learn more advanced concepts of algebra, including functions of all kinds, systems of equations, matrices, polynomials, radicals, conic sections, exponential and logarithmic functions, sequences and series, and trigonometric functions.  The student will learn mathematical modeling, applications, and connections of math to other disciplines.  Graphing calculators will be used.
Prerequisites:  Geometry
Grades: 10, 11       Length: 1 year           Credit:  1

PRECALCULUS
The student will learn the advanced concepts of algebra, trigonometry, and may have a brief introduction to calculus.  Topics will include advanced functions and inverse functions, behavior of graphs, as well as trigonometric functions, identities, equations, graphs and applications.  Extensive use will be made of the graphing calculator.
Prerequisite: Algebra II with a grade of C or above
Grades: 11, 12        Length: 1 year            Credit: 1

HONORS PRECALCULUS (H)
The student will learn the advanced concepts of algebra, trigonometry, and have an introduction to calculus.  Topics will include advanced functions and inverse functions, behavior of graphs, Trigonometric functions, trigonometric equations, and topics in analytic geometry. An introduction to derivatives and integrals may be included in the course.  Extensive use will be made of the graphing calculator.
Prerequisite:  Algebra II with a grade of C or above and permission of the instructor.
Grades: 11, 12     Length: 1 year                Credit: 1

ADVANCED PLACEMENT (AP) CALCULUS AB * (H)
This course is designed to prepare the student to take the AP Calculus AB Exam.  The student will study calculus using a variety of  approaches: graphical, numerical, analytical, and verbal.  The student will learn the theory and principals of single variable differentiation, integration and introductory differential equations  The student will also understand the relationship between the derivative and the definite integral, will be able to model a physical situation with a function, a differential equation, or an integral, and will be able to use current technology to solve problems and interpret results.  Because of the advanced level of this class, a student may earn 5.0 points on the 4.0 grade point scale.  All students taking the course must take the AP Calculus Exam.
Prerequisite:  Pre-Calculus with a B or above and permission of the instructor
Grade: 12              Length: 1 year               Credit: 1

ADVANCED PLACEMENT (AP) CALCULUS BC * (H)
This course is designed to prepare the student to take the AP Calculus BC Exam. The student will study calculus using a variety of approaches: graphical, numerical, analytical, and verbal. The student will understand the relationship between the derivative and the definite integral, will be able to model a physical situation with a function, a differential equation, or an integral, and will be able to use current technology to solve problems and interpret results. Advanced techniques in determining the derivative and antiderivative will be explored. An introduction to infinite series and tests for convergence and divergence is also included in this course. Because of the advanced level of this class, a student may earn 5.0 points on the 4.0 grade point scale. All students taking the course must take the AP Calculus BC Exam.
Prerequisite: Score on the AP Calculus AB exam of 4 or above and permission of the instructor
Grade: 12       Length: 1 year        Credit: 1

STATISTICS
The student will learn the basic principles of statistics in this honors level course.  Concepts studied will include interpretation of surveys, effective presentation of data, probability applications, and scientific methods of drawing conclusions from data.  The student will learn statistical modeling, applications, and connections of statistics to other disciplines. Statistics functions on graphing calculators will be used extensively.  Projects will be an important part of this course.  This course will be especially helpful for students who will be studying business, psychology, nursing or other medical fields, education, engineering, and computer science in college and for students who want to understand the statistics presented to citizens in the media. Recommended for juniors and seniors who are not taking pre-calculus or calculus.
Prerequisites:  Algebra II
Grades:  11, 12   Length:  1 year              Credit:  1

Course Notes:

(1) Courses using college level curriculum are annotated with an “*”

(2) Courses offered with an honors option on a weighted 5.0 scale are annotated with an “(H)”