Mathematics
CTECS is in the midst of changing the approach to Mathematics instruction and learning. Many of our schools are implementing a Masterybased 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 a masterybased course in Mathematics. If your son/daughter is involved in a masterybased course, you will be clearly notified prior to the beginning of the school year. School personnel will be able to answer questions regarding the masterybased model. Informational material will be distributed at all orientation events along with a letter mailed home prior to the beginning of the school year.
View our Mastery Based Learning Brochure (English)
View our Mastery Based Learning Brochure (Spanish)
Below are some typical pathways to meeting the threecredit requirement for graduation.
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

One of the following Electives

One of the following Electives

One or more of the following Electives

Course Descriptions*
Algebra I (MA111)
Based on a realworld 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 problemsolving situations. The application of mathematical concepts to trade experiences reinforces the course
curriculum. Students will learn to simplify algebraic expressions, solve algebraic sentences and 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 Smarter Balanced Assessment, an assessment during their junior
year.
Foundations in Mathematics (MA651)
This course is a supplement for ninth grade students who
performed at the basic and below basic levels on the Connecticut Mastery Test in Mathematics. Students enrolled
in Algebra I will be concurrently enrolled in Foundations in Mathematics. Foundations in Mathematics will provide
these students additional support and intervention to successfully complete Algebra I and address specific needs
identified on CMT results. Students will receive an individualized profile based on their CMT results. Teachers
will instruct students on the identified concepts and skills. Interactive software will help diagnose student needs
and monitor progress as students work at their own pace. They will build the necessary background knowledge to enable
them to be successful in Algebra I and their chosen trade.
Honors Algebra I (MA112)
This is an accelerated course that focuses on an indepth understanding
of algebra. The course contains an indepth study of functions, both linear and nonlinear. Topics include solving,
graphing and interpreting linear models, simplifying expressions containing exponents, performing operations with
polynomials, basic trigonometry and topics from discrete Mathematics. Students are prepared to take the Smarter
Balanced Assessment in their junior year. Statistics, probability and geometry are integrated throughout this course.
Geometry (MA211)
Based on the reallife application of geometry, a student will investigate
concepts in geometry such as congruence and similarity; apply that knowledge when conducting proofs and constructions.
Coordinate geometry is also used, which integrates algebra from the previous year. Critical thinking and problemsolving
is emphasized as well as developing the skills to communicate mathematical ideas.
Honors Geometry (MA212)
This is an accelerated course that focuses on an indepth
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.
Algebra II (MA113)
Prerequisite: Algebra I
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 nonlinear function and graphs,
with as many applications as possible. The course sets the stage for a higherlevel 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.
Advanced Algebra (MA312)
Prerequisite: Algebra II
In Advanced Algebra, the
student’s knowledge of algebra is reinforced and extended. Knowledge of functions is extended to include exponential,
rational, trigonometric and logarithmic. 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 precalculus 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.
Honors Algebra II (MA114)
Prerequisite: Honors Algebra I or teacher recommendation
This is an accelerated course that focuses on an indepth understanding of algebra. The course continues an indepth
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 higherlevel 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.
Honors PreCalculus (MA313)
Prerequisite: Honors Algebra II or teacher recommendation
This course will enable students to develop an indepth understanding of graphs of relations, algebraic and trigonometric
functions. Special focus is placed on the use of models to solve reallife problems. The course is taught as a preparation
for the study of calculus. In addition, students convert realworld 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.
Honors Calculus (MA414)
Prerequisite: Honors PreCalculus
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 realworld 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.
Mathematical Applications I (MA620)
Prerequisite: Algebra I and Geometry
The purpose
of this course is to explore new areas of Mathematics and reinforce them through the application of algebraic and
geometric 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.
Mathematical Applications II (MA621)
Prerequisite: Algebra I and Geometry
The purpose
of this course is to explore new areas of Mathematics and reinforce them through the application of algebraic and
geometric concepts. Areas of study include topics such as the study of twodimensional geometry, Tessellations,
threedimensional geometry, indirect variation, proportionality, threedimensional coordinate and topographical
maps and systems of equations/inequalities. The application of mathematical concepts to trade experiences reinforces
this curriculum.
Business Math with Algebra (MA630)
Prerequisite: At least two math credits, one must be Algebra I
The purpose of this course is to solidify foundational skills in math and apply Mathematics to the business world.
Applications of percent including discounts, payroll and taxes will be explored as well as simple and compound interests.
Personal financing including banking, owning a home and investment will be covered. Business finance includes interpreting
reports, depreciation and maintaining inventory and overhead.
Statistics (MA612)
Prerequisite: Algebra II
This course will use the standard approaches
to statistical analysis, exploratory data 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.
Honors Statistics (MA613)
Prerequisite: Honors Algebra II
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.
Trigonometry (MA611)
Prerequisite: Algebra II
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, PreCalculus 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 applications 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.
Honors Trigonometry (MA610)
Prerequisite: Honors Algebra II
Honors Trigonometry
is designed for students wishing to take a fourth or fifth credit in math. This is a very traditional trigonometry
course and include 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. Topic in analytical trigonometry will also be touched upon and certain
students may delve deeper into the study of analytically trigonometry.
* Some courses may not be offered at every school.