All of our schools are implementing a Mastery-based Learning Model. The course content under this model has not changed, however the expected achievement is set at a higher level. Students are required to earn 70% or better in CORE courses and 80%, or better in Honors Courses and Pre-Algebra with our Model for a mastery-based course in mathematics. School personnel will be able to answer questions regarding the mastery-based model.
Below are some typical pathways to meeting the three-credit requirement for graduation.
For more information about our programs please view CTECS Program of Studies.
| Minimum For Graduation | Career Pathway | College-Prep Pathway | More Competitive College Prep |
|---|---|---|---|
| 3 Credit Pathway | 4 Credit Pathway | 4 Credit College prep Pathway | 4 Credit Honors Pathway |
One of the following Electives
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One of the following Electives
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One of the following Electives
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One or more of the following Electives
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Course Descriptions*
(Enrollment in the course is determined by pre-assessment data and a recommendation from the teacher)
This course is designed for students who do not have a strong foundation in arithmetic and pre-algebra skills and understandings. Arithmetic skills of addition, subtraction, multiplication and division using whole numbers, fractions, decimals and integers are developed and applied in a wide variety of problem-solving situations. Applications of these skills will include, but not be limited to, geometry settings and data analysis. Additional arithmetic skills of using percent and percent calculations, as well as understanding and applying exponents, is included in the curriculum. Students will also understand and apply pre-algebra topics including understanding variables, solving simple linear equations and gaining an understanding of the co-ordinate plane.
(NCAA Approved Course)
Based on a real-world application of algebra, students will develop an understanding of the symbolic language of mathematics. Algebraic skills and concepts are developed and applied in a wide variety of problem-solving situations. The application of mathematical concepts to trade experiences reinforces the course curriculum. Students will learn to simplify algebraic expressions, solve algebraic sentences and to communicate their procedures as well as defend their results. The study and application of linear functions will be emphasized (graphing and writing linear equations). Algebra I is aligned to the Common Core State Standard. The structure of the course and district assessments will prepare students for the high stakes assessments. The use of a graphing calculator is incorporated.
(NCAA Approved Course)
This is an accelerated course that focuses on an in-depth understanding of algebra. The course contains an in-depth study of functions, both linear and non-linear. Topics include solving, graphing and interpreting linear models (including systems of equations), simplifying expressions containing exponents, performing operations with polynomials, basic trigonometry and topics from discrete mathematics. The structure of the course and district assessments will prepare students for high stakes assessments. Statistics, probability and geometry are integrated throughout this course. The use of a graphing calculator is incorporated.
Prerequisite: Algebra I
(NCAA Approved Course)
Based on the real-life application of geometry, a student will investigate concepts in geometry such as congruence and similarity and apply that knowledge when conducting proofs and constructions. Coordinate geometry is also used, which integrates a lot of algebra skill learning from the previous year. Critical thinking and problem-solving is emphasized as well as developing the skills to communicate mathematical ideas. Geometry is aligned to the Common Core State Standard. The structure of the course and district assessments will prepare students for high stakes assessments. The use of instructional technology is incorporated.
Prerequisite: Honors Algebra I
(NCAA Approved Course)
This is an accelerated course that focuses on an in-depth understanding of the relationships of congruence and similarity, the structures used to analyze them and the language used to communicate these ideas. Constructing proofs, use of coordinate geometry and the study of conic sections are included. This course requires a greater degree of independence and competence in critical thinking and communicating mathematically. Geometry is aligned to the Common Core State Standard. The structure of the course and district assessments will prepare students for high stakes assessments. The use of instructional technology is incorporated.
Prerequisite: Successful completion of Algebra I. Students who earn credit in Honors Algebra I cannot take Algebra II for credit because there is too much overlap in the curricula.
(NCAA Approved Course)
In Algebra II, the student’s knowledge of algebra is reinforced and extended. Knowledge of functions is expanded to quadratics and polynomials. Topics include algebraic vocabulary, variations, solving systems of equations, understanding non-linear function and graphs, with as many applications as possible. The course sets the stage for a higher-level study of mathematics (Advanced Algebra). Students are expected to communicate their procedures as well as defend their results. The application of mathematical concepts to trade experiences reinforces the curriculum. The use of a graphing calculator is encouraged.
Prerequisite: Successful completion of Algebra II or Honors Algebra I
(NCAA Approved Course)
In Advanced Algebra, the student’s knowledge of algebra is reinforced and extended. Knowledge of functions is extended to include exponential and logarithmic, rational and radical and piece-wise. A unit on data analysis and statistics is also included. The purpose of this course is to prepare students for the transition to college-level math and solidify their knowledge and skills in preparation to be successful in a pre-calculus course. Students are expected to communicate their procedures, as well as defend their results. The application of mathematical concepts to trade experiences reinforces the curriculum. The use of a graphing calculator is encouraged.
Prerequisite: Successful completions of Honors Algebra I (or teacher recommendation)
(NCAA Approved Course) See Section XV for Honors/Advanced Level Criteria
This is an accelerated course that focuses on an in-depth understanding of algebra. The course continues an in-depth study of functions, which is extended to quadratics, exponential, rational and trigonometric functions. Topics include algebraic vocabulary, variations and graphs, complex numbers, sequences, probability and trigonometry, with as many applications as possible. The course sets the stage for a higher-level study of mathematics. This course requires a greater degree of independence and competence in critical thinking and communicating mathematically. The application of mathematical concepts to trade experiences reinforces the curriculum. The use of a graphing calculator is encouraged.
Prerequisite: Successful completion of Honors Algebra II (or teacher recommendation)
(NCAA Approved Course) See Section XV for Honors/Advanced Level Criteria
This course will enable students to develop an in-depth understanding of graphs of relations, algebraic and trigonometric functions. Special focus is placed on the use of models to solve real-life problems. The course is taught as a preparation for the study of calculus. In addition, students convert real-world data into numerical or algebraic models. Students also use these models to analyze and predict behavior of data and effectively communicate those results. This demanding course requires a great deal of independence and competence in critical thinking and communicating mathematically. The use of a graphing calculator is highly integrated into instruction and learning.
Prerequisite: Successful completion of Honors Pre-calculus
(NCAA Approved Course) See Section XV for Honors/Advanced Level Criteria
This course includes the study of real numbers and the creation and use of graphs, relations, functions, trigonometric functions, limits, derivatives and integrals. These concepts will be used to model, solve problems and convert real-world data sets into limits, derivatives and integrals as graphical, numerical and algebraic models. This demanding course requires a great deal of independence and competence in critical thinking and communicating mathematically. The use of a graphing calculator is incorporated.
Prerequisite: Successful completion of Algebra I.
The purpose of this course is to explore new areas of mathematics and reinforce them through the application of algebraic and geometry concepts. Areas of study include topics such as discrete math (graph theory, simulations and optimizations), simple statistics and data analysis, application of the Pythagorean Theorem and linear programming. The application of mathematical concepts to trade experiences reinforces this curriculum.
Prerequisite: Successful completion of Algebra II
(NCAA Approved Course)
This course will use the standard approaches to statistical analysis, exploratory data analysis, elementary probability, sampling distributions and estimation. The application of mathematical concepts to trade experiences reinforces the curriculum. The use of a graphing calculator is incorporated.
Pre-requisite: Successful completion of Honors Algebra II
(NCAA Approved Course) See Section XV for Honors/Advanced Level Criteria
This course will use standard approaches to understand descriptive and inferential statistics including regression and correlation, as well as distributions of data. Probability and random variables are also included in the course expectations.
Pre-requisite: Successful completion of Algebra II
(NCAA Approved Course)
Applied Trigonometry is designed for students wishing to take a fourth or fifth credit in math. Students who successfully complete Algebra II and want a fourth year can select this course as senior math. Some students may wish to take Applied Trigonometry concurrently with Advanced Algebra, Pre-calculus or Statistics. This course is designed primarily as an application of trigonometry and the study of the unit circle. A thorough examination will be conducted of the sine, cosine and tangent functions, including their inverses, with respect to a variety of application specific to the trades. Both the right triangle and oblique triangle cases will be considered in detail. Traditional methods of instruction and the examination of the unit circle in conjunction with the use of graphing calculator will be employed. Topics in analytical trigonometry will also be touched upon and certain students may delve deeper into the study of analytical trigonometry.
Pre-requisite: Successful completion of Honors Algebra II
(NCAA Approved Course) See Section XV for Honors/Advanced Level Criteria
Honors Trigonometry is designed for students wishing to take a fourth or fifth credit in math. This is a very traditional trigonometry course and includes the following topics; trigonometry functions, right triangle trigonometry, circular functions and radian measure, trigonometric identities, inverse circular functions, applications of trigonometry and vectors as well as polar and parametric equations. Topics in analytical trigonometry will also be touched upon and certain students may delve deeper into the study of analytical trigonometry.
Intended to be a fourth or fifth credit course.
Prerequisite: Successful completion of Algebra I
Personal Finance and Algebra is a review of rates, ratios and proportions and applying these concepts to financial situations. Algebra is also applied to everyday financial decisions such as; personal finance, planning for college, managing a household and checking/credit cards.
* Some courses may not be offered at every school.
