Math

8TH GRADE ALGEBRA

Grade Level: 8
Course: 1 Year
Credit: 1

Prerequisite:  This course is offered to 8th graders from the Catholic partner schools in the Northland. Students are admitted by merit. A math exam is given in the month of May. Enrollment will be limited to 25 students. (Students not currently attending one of the Northland partner schools may call the principal for more information.)
 
Students in this course will acquire the algebraic skills necessary for success in future math courses.  Topics covered include: solving and graphing (one and two variable) linear equations and inequalities, problem solving, factoring, solving systems of linear equations, simplifying rational expressions, simplifying radicals, fractional exponents, imaginary numbers, and an introduction to linear and quadratic functions.  This course is the foundation for further mathematical understanding and success.

ALGEBRA I TEST-OUT OPTION

8th Grade Students who successfully pass the final exam for Algebra I may enroll in Geometry.

ALGEBRA I (B)

Grade Level: 9
Course: 1 Year
Credit: 1

Prerequisite:  Placement based on HSPT and 8th grade teacher recommendations
 
Students in this course will, at a controlled pace, acquire the algebraic skills necessary for success in future math courses.  Topics covered include: solving and graphing (one and two variable) linear equations and inequalities, some problem solving, factoring, solving systems of linear equations, simplifying rational expressions, simplifying radicals, and an introduction to linear and quadratic functions.  This course is the foundation for further mathematical understanding and success.

ALGEBRA I

Grade Level: 9
Course: 1 Year
Credit: 1

Prerequisite:  Placement based on HSPT and 8th grade teacher recommendations
 
Students in this course will acquire the algebraic skills necessary for success in future math courses.  Topics covered include: solving and graphing (one and two variable) linear equations and inequalities, problem solving, factoring, solving systems of linear equations, simplifying rational expressions, simplifying radicals, and an introduction to linear and quadratic functions.  This course is the foundation for further mathematical understanding and success.

HONORS ALGEBRA I

Grade Level: 9
Course: 1 Year
Credit: 1

Prerequisite:  Placement based on HSPT and 8th grade teacher recommendations
 
Students in this course will acquire the algebraic skills necessary for success in future math courses.  Topics covered include: solving and graphing (one and two variable) linear equations and inequalities, problem solving, factoring, solving systems of linear equations, simplifying rational expressions, simplifying radicals, fractional exponents, imaginary numbers, and an introduction to linear and quadratic functions.  This course is the foundation for further mathematical understanding and success.

GEOMETRY

Grade Level: 9,10
Course: 1 Year
Credit: 1
Prerequisite: Successful Completion of Algebra I and Teacher Recommendation

This course will include a study of: polygons, congruency and classification of triangles, deductive proofs, circles and their angles, right triangles, areas and volumes of plane and solid figures, basic transformations, basic constructions, ratio and proportions of similar triangles, and coordinate geometry.  Mathematical vocabulary will be stressed and students will review algebra skills. 

GEOMETRY B

This course is the next sequential course for students who were enrolled in Algebra 1B.  This course will include a study of:  polygons, congruency and classifications of triangles, circles and their angles, right triangles, areas and volumes of some solid figures, basic transformations, ratio and proportions of similar triangles, and coordinate geometry.  Mathematical vocabulary will be stressed and students will spend a significant amount of time reviewing algebra skills. 

HONORS GEOMETRY 

Grade Level: 9,10
Course: 1 Year
Credit: 1

Prerequisite: Successful Completion of SPX Honors Algebra I, or completion of Algebra I and Teacher recommendation.

This course will include an intense study of:  polygons, congruency and classifications of triangles, deductive proofs, circles and their angles, right triangles, the Law of Sines and Cosines, areas and volumes of plane and solid figures, basic transformations, constructions of geometric figures, ratio and proportions of similar triangles, and coordinate geometry.  In addition, students will develop visual skills, expand their mathematical vocabulary and review algebra skills necessary for success in Honors Algebra II.  Taught primarily through lecture, topics will be reinforced with daily assignments. 

ALGEBRA II

Grade Level: 10,11,12
Credit: 1
Course: 1 Year
Prerequisite: Successful Completion of Algebra I

This course offers a review of algebra followed by the study of functions (linear, quadratic, higher order polynomials, absolute values and logarithmic) and their graphs.  Students will also study complex fractions, exponents, nth roots, matrices, and variation. Upon successful completion, this course prepares students for Trigonometry or College Algebra.  Other students will be encouraged to enroll in Introduction to College Algebra.

Note: Algebra II does not provide adequate preparation for Pre-Calculus.

HONORS ALGEBRA II

Grade Level: 10,11
Course: 1 Year
Credit: 1
Prerequisite: Algebra 1 Honors or teacher approval if enrolled in Algebra 1

This course begins with a review of Algebra 1 Honors topics, followed by the study of linear functions, complex numbers, quadratic equations and functions, variation, conic sections, exponential and logarithmic functions, sequences and series, permutations and combinations, and matrices and determinants. This course is required for students who wish to take ACCP Pre-Calculus. Students will be expected to keep up with the daily assignments and must have the ability to work independently outside the classroom.

INTRODUCTION TO COLLEGE ALGEBRA

Grade Level: 11,12
Credit: 1
Course: 1 Year
Prerequisite: Successful Completion of Algebra II

This course will begin with a review of Algebra 2 to provide the student with a solid foundation for college level mathematics courses. Students will then progress to more advanced concepts such as conic sections, exponential and logarithmic functions, and sequences and series. Students will also be introduced to topics from College Algebra. This course will also focus on ACT preparation prior to all national testing dates.

ACCP COLLEGE ALGEBRA

Grade Level: 11,12
Credit: 1 (College Credit Available)
Course: 1 Year
Prerequisite:
     1. Successful completion of Algebra 2
     2. 3.00 unweighted cumulative GPA or 21 ACT score (if taking this course for               college credit
     3. Based upon UMKC course fee requirements

This course addresses fundamentals of basic algebra. Topics include the real number system, basic operations of algebra, polynomial functions (linear, quadratic , and higher degree), inequalities, functions and graphs, systems of equations, exponential and logarithmic functions, and arithmetic and geometric sequences. This course is intended for students needing a thorough study of algebra in preparation for college level math courses for a liberal arts or business major. Students may elect to sign up for advanced college credit through UMKC.

TRIGONOMETRY (When Offered)

Grade Level: 11,12
Credit: 1
Course: 1 Year
Prerequisite:  Algebra II or Honors Algebra II

This course will begin with a review of functions and their graphs then move into an extensive study of the six trigonometric functions. This will include the unit circle, graphing the six functions, identities, formulas, proofs, solving equations, inverse functions, solving right and non-right triangles, and an introduction to polar coordinates. This course is primarily taught through lectures, small group activities, and problems involving real-life situations. This course is an alternative to College Algebra and is designed for students who may have an interest in a math related field at the college level.   *Graphing calculators are required.  (TI-83 or TI-84 recommended)

PRECALCULUS

Grade Level: 11,12
Credit: 1 (College Credit Available)
Course: 1 Year
Prerequisite: completion of Algebra II Honors, College Algebra, or Algebra II with teacher recommendation

This course addresses the fundamental topics of algebra and trigonometry necessary for Calculus. Topics include linear, quadratic, and miscellaneous equations and inequalities; relations and functions including polynomial, rational, exponential, and logarithmic functions; graphing; systems of equations; matrices; the degree and radian measure of angles; the definition of the six trigonometric functions; the solution of triangles and appropriate application problems; the graphing of the circular functions; the solution of conditional trigonometric equations; the verification and usefulness of identities; the inverse trigonometric functions; the trigonometric form of a complex number and polar curves. Student may elect to sign up for advanced college credit through Missouri Western. 

ACCP CALCULUS I

Grade Level: 12
Credit: 1 (College Credit Available)
Course: 1 Year
Prerequisite:
     1. Successful completion of PreCalculus and Teacher Recommendation
     2. 3.0 unweighted cumulative GPA or 21 ACT Score (if takign this course for                 college credit)
Course Fee: Based upon UMKC course fee requirements

This course aims to provide a working knowledge of the concepts and theorems of elementary calculus of functions of one variable.  Topics covered include a review of precalculus, limits, derivatives, and integrals of a wide variety of functions and their applications to curve sketching, maximum and minimum problems, area and volume. Students may elect to sign up for advanced college credit through UMKC.