Math

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Geometry

Course Number:  WCM-GEOM

InstructorKelly Powers

Day/Time: TBD

Pre-requisite:  Algebra 1

Course Texts:

  • Geometry: A Guided Inquiry, by G.D. Chakerian, Calvin D. Crabill, and Sherman K. Stein
  • Kolbe Digital License for Accompaniment to Geometry: A Guided Inquiry
  • Geometer's Sketchpad License

Course Description:

This Geometry course can follow any Algebra I program, whether the student has used Saxon Algebra I, Jacob's Elementary Algebra, or another First year Algebra course. If questions should arise about the preparedness of a student for this course, please contact the Academic Advisor department at Kolbe Academy. This course presents all the geometrical concepts in a traditional fashion to the high school student. This course will sufficiently prepare the student for questions on the math section of the PSAT, ACT, or SAT standardized tests. Students completing this course as well as a previous Algebra I program will be ready to take the traditional second year of Algebra II. The Kolbe Academy recommended course of study includes continuing with Foerster's Algebra and Trigonometry upon completion of this Geometry course.

This course is typically done in 9th or 10th grade. Topics include: conditional statements, direct and indirect proofs, Pythagorean theorem, lines and angles, congruence, inequalities, parallel lines, quadrilaterals, transformations, area, similarity, the right triangle, circles, the concurrence theorems, regular polygons and the circle, Geometric solids, and non-Euclidean geometry.

Geometry (Honors)

Course Number:  WCM-GEOM-H

InstructorKelly Powers

Day/Time: TBD

Pre-requisite:  Algebra 1

Course Texts:

  • Geometry: A Guided Inquiry, by G.D. Chakerian, Calvin D. Crabill, and Sherman K. Stein
  • Kolbe Digital License for Accompaniment to Geometry: A Guided Inquiry
  • Geometer's Sketchpad License

Course Description:

This Geometry course can follow any Algebra I program, whether the student has used Saxon Algebra I, Jacob's Elementary Algebra, or another First year Algebra course. If questions should arise about the preparedness of a student for this course, please contact the Academic Advisor department at Kolbe Academy. This course presents all the geometrical concepts in a traditional fashion to the high school student. This course will sufficiently prepare the student for questions on the math section of the PSAT, ACT, or SAT standardized tests. Students completing this course as well as a previous Algebra I program will be ready to take the traditional second year of Algebra II. The Kolbe Academy recommended course of study includes continuing with Foerster's Algebra and Trigonometry text upon completion of this Geometry course.

This course is typically done in 9th or 10th grade.  Students taking the Honors Geometry course should have earned at minimum a high B+ or A average in Algebra 1. Topics include: conditional statements, direct and indirect proofs, Pythagorean theorem, lines and angles, congruence, inequalities, parallel lines, quadrilaterals, transformations, area, similarity, the right triangle, circles, the concurrence theorems, regular polygons and the circle, Geometric solids, and non-Euclidean geometry.

Pre-requisite:  Algebra 1

Algebra II

Course Number:  WCM-ALG2

InstructorMolly Cerroni

Day/Time: TBD

Course Texts:

  • Algebra and Trigonometry: Functions and Applications, Paul A. Foerster, © 2006 (T4102)
  • Algebra and Trigonometry Graphing Calculator Lab Manual (T4102B)

Course Description:

Topics in the Algebra II course include: linear functions, systems of linear equations and inequalities, quadratic functions and complex numbers, exponential and Logarithmic functions, rational Algebraic Functions, irrational Algebraic Functions, quadratic Relations and Systems (circles, ellipses, hyperbolas, and parabolas).

Additionally, a Graphing Calculator Supplement is assigned in the course plan as they correspond with the appropriate sections. While it isn't absolutely essential for students to learn how to use a graphing calculator, it is preferable, especially in courses of Algebra II and beyond. Students need to know how to graph things on paper, but it is very useful to know how to appropriately use a graphing calculator for the more complex problems where graphing (or other calculations) would bog the student down with unnecessary busy work. Furthermore, the ACT and SAT both allow the use of a graphing calculator, so it can greatly benefit students to know some short cuts to aid them on the math portions of these exams.

The Algebra II (K) course moves at a very reasonable pace for most high school students. It is meant to be a college preparatory course in nature, taking the student through a great number of Algebra II concepts but also spending a little more time on reviewing Algebra I than the honors course.  Upon completion of Algebra II (K), students will be ready to tackle any PreCalculus course the following year.

Algebra II/Trigonometry (Honors)

Course Number:  WC-ALG2T-H

InstructorMolly Cerroni

Day/Time: TBD

Course Texts:

  • Algebra and Trigonometry: Functions and Applications, Paul A. Foerster, © 2006 (T4102)
  • Algebra and Trigonometry Graphing Calculator Lab Manual (T4102B)

Course Description:

Topics in the Algebra II/Trig (H) course include: linear functions, systems of linear equations and inequalities, quadratic functions and complex numbers, exponential and Logarithmic functions, rational Algebraic Functions, irrational Algebraic Functions, quadratic Relations and Systems (circles, ellipses, hyperbolas, and parabolas, trigonometric and circular functions; properties of trigonometric and circular functions; trigonometric Identities; triangle Problems; and vectors.

Additionally, a Graphing Calculator Supplement is assigned in the course plan as they correspond with the appropriate sections. While it isn't absolutely essential for students to learn how to use a graphing calculator, it is preferable, especially in courses of Algebra II and beyond. Students need to know how to graph things on paper, but it is very useful to know how to appropriately use a graphing calculator for the more complex problems where graphing (or other calculations) would bog the student down with unnecessary busy work. Furthermore, the ACT and SAT both allow the use of a graphing calculator, so it can greatly benefit students to know some short cuts to aid them on the math portions of these exams.

The Algebra II/Trigonometry (H) course moves at a very quick pace and emphasizes the more difficult concepts and mathematical applications in the text. This course of study is recommended for students who received an A in either Algebra I or Geometry and received at least a B+ in both Algebra I and Geometry. Students who do well in the Honors Algebra II/Trig course will find themselves ready for the study of Calculus during the following year. All students pursuing honors should expect to find the content and pace of the coursework challenging and should be sure to allot extra time for their studies. This course will have a heavier emphasis on the mathematical applications of concepts.