Mathematics Academic Courses
Mathematic Academic Courses
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3 credits required for graduation
Below are some typical pathways:
3 Credit Pathway 4 Credit Pathway 4 Credit College Prep Pathway 4 Credit Honors Pathway Foundational Math 9* Algebra I or Algebra I or Honors Algebra I or Foundational Math 10* Honors Algebra I or Honors Algebra I or Pre-AP Algebra I or Prealgebra Pre-AP Algebra I or Pre-AP Algebra I or Honors Algebra II or Algebra I Algebra II or Algebra II Pre-AP Algebra II Geometry or one of the following Electives:
• Mathematical Applications
• Personal Finance
*Requires course placementHonors Algebra II or Pre-AP Algebra II Honors Geometry Pre-AP Algebra II Geometry One of the following Electives:
• Honors Precalculus
• AP Precalculus
• Honors Trigonometry
• Honors Statistics
• Calculus AB
• AP Statistics
• Calculus I – UConn ECE
• Calculus II – UConn ECEGeometry
and one of the following Electives:
• Mathematical Applications
• Personal FinanceOne of the following Electives:
• Advanced Algebra
• Trigonometry
• Statistics
• AP Precalculus
• Honors Precalculus -
Prealgebra (MA110, MA201) (1 credit)
(Enrollment in the course is determined by pre-assessment data)
This course is designed for students in need of foundational reinforcement in arithmetic and prealgebra skills.
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 include, but are not limited to, geometry settings and data analysis.
Additional arithmetic skills, including using percent and percent calculations, as well as understanding and applying exponents, are included in the curriculum.
Students will also understand and apply prealgebra topics, including understanding variables, solving simple linear equations, and gaining an understanding of the coordinate plane.
Algebra I (MA111, MA205) (1 credit)
(NCAA Approved Course)
Based on real-world applications 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 equations, and communicate their procedures, as well as defend their results.
The study and application of linear functions will be emphasized, including graphing and writing linear equations.
Algebra I is aligned with the Common Core State Standards. The structure of the course and district assessments will prepare students for high-stakes assessments.
The use of a graphing calculator is incorporated.
Honors Algebra I (MA112, MA206) (1 credit)
(NCAA Approved Course) See Section XV for Honors/Advanced Level Selection Criteria
This accelerated course focuses on an in-depth understanding of algebra.
The course contains an in-depth study of functions, both linear and nonlinear.
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.
Pre-AP Algebra I (MA207) (1 credit)
No Prerequisite
(NCAA Approved Course)
In Pre-AP Algebra I, students develop a deep understanding of linear relationships, emphasizing patterns of change, multiple representations of functions and equations, modeling real-world scenarios with functions, and methods for finding and representing solutions of equations and inequalities.
Taken together, these ideas provide powerful conceptual tools that students can use to make sense of their world through mathematics.
Algebra II (MA113, MA213, MA310, MA405) (1 credit)
Prerequisite: Successful completion of Algebra I
(NCAA Approved Course)
In Algebra II, students' 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, and understanding nonlinear functions and graphs, with as many applications as possible.
The course sets the stage for 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 incorporated.
Honors Algebra II (MA114, MA406) (1 credit)
Prerequisite: Successful completion of Honors Algebra I
(NCAA Approved Course) See Section XV for Honors/Advanced Level Selection Criteria
This accelerated course focuses on an in-depth understanding of algebra.
The course continues an in-depth study of functions, extending to quadratic, 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 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 incorporated.
Pre-AP Algebra II (MA311) (1 credit)
Prerequisite: Algebra I
(NCAA Approved Course)
In Pre-AP Algebra II, students solidify and extend their understanding of functions and data analysis developed in prior courses.
Students build upon linear, quadratic, and exponential functions as they work to define logarithmic, polynomial, rational, square root, cube root, and trigonometric functions.
Quantitative literacy is developed by weaving data sets, contextual scenarios, and mathematical modeling throughout the course.
Geometry (MA120, MA211, MA320) (1 credit)
Prerequisite: Algebra I
(NCAA Approved Course)
Based on real-life applications of geometry, students investigate concepts such as congruence and similarity and apply that knowledge when conducting proofs and constructions.
Coordinate geometry is also used, integrating many algebra skills learned in previous courses.
Critical thinking and problem-solving are emphasized, as well as developing the skills to communicate mathematical ideas.
Geometry is aligned with the Common Core State Standards.
The structure of the course and district assessments prepares students for high-stakes assessments.
The use of instructional technology is incorporated.
Honors Geometry (MA121, MA212) (1 credit)
Prerequisite: Honors Algebra I
(NCAA Approved Course) See Section XV for Honors/Advanced Level Selection Criteria
This accelerated course 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, the 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 with the Common Core State Standards.
The structure of the course and district assessments prepares students for high-stakes assessments.
The use of instructional technology is incorporated.
Advanced Algebra (MA312) (1 credit)
Prerequisite: Successful completion of Algebra II or Honors Algebra I
(NCAA Approved Course)
In Advanced Algebra, students' knowledge of algebra is reinforced and extended.
Knowledge of functions is expanded to include exponential, logarithmic, rational, radical, and piecewise functions.
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 mathematics and solidify their knowledge and skills in preparation for success 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.
The use of a graphing calculator is incorporated.
Statistics (MA612) (1 credit)
Prerequisite: Successful completion of Algebra II
(NCAA Approved Course)
This course uses 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.
Honors Statistics (MA613) (1 credit)
Prerequisite: Successful completion of Honors Algebra II
(NCAA Approved Course) See Section XV for Honors/Advanced Level Selection Criteria
This course uses 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.
AP Statistics (MA614) (1 credit)
Prerequisite: Successful completion of Honors Algebra II
(NCAA Approved Course)
This course is equivalent to an introductory college-level course in Statistics.
Students learn about the major concepts and tools used for collecting, analyzing, and drawing conclusions from data.
Students will explore statistics through discussion and activities and will design surveys and experiments.
Mathematical Applications (MA620) (1 credit)
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 mathematics (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 the curriculum.
Personal Finance (MA635) (1 credit)
Intended to be a fourth or fifth credit course
Prerequisite: Successful completion of Algebra I
Personal Finance is a review of rates, ratios, and proportions and the application of these concepts to financial situations.
Algebra is also applied to everyday financial decisions such as planning for post-secondary education, managing household expenses, bank accounts, credit cards, and personal loans.
Calculus I – UConn ECE (MA790) (1 credit)
Prerequisite: Successful completion of Honors Precalculus or AP Precalculus
(NCAA Approved Course) See Section XV for Honors/Advanced Level Selection Criteria
Limits, continuity, differentiation, antidifferentiation, and definite integration, with applications to the physical sciences and engineering sciences.
Suitable for students with some prior calculus experience.
The goal of ECE Calculus I is to learn, understand, and work with the main concepts of Calculus I: limits, continuity, differentiability, and integrability as they apply to algebraic, exponential, logarithmic, and trigonometric functions.
Calculus II – UConn ECE (MA791) (1 credit)
Prerequisite: A grade of C or better in Math 1131Q
(NCAA Approved Course) See Section XV for Honors/Advanced Level Selection Criteria
Applications of integration, techniques of integration, integral approximation, improper integrals, sequences and series (including power series and Taylor series), parametric curves, and polar coordinates.
Math Lab 9 (MA695) (¾ credit)
Earned credits count toward graduation and full-time student status at CTECS, but not toward the three (3) Math Core credits required for graduation.
Math Lab 9 is a supplemental math course designed to support 9th-grade students in schools that follow a 90-day math curriculum.
This course provides targeted interventions and personalized instruction to reinforce math concepts, bridge skill gaps, and promote mastery of Grade 9 math standards.
Math Lab 9 provides students with the mathematical foundation necessary to succeed in their core courses and progress toward higher-level math understanding.
Math Lab 10 (MA696) (¾ credit)
Earned credits count toward graduation and full-time student status at CTECS, but not toward the three (3) Math Core credits required for graduation.
Math Lab 10 is a supplemental math course designed to support 10th-grade students in schools that follow a 90-day math curriculum.
This course provides targeted interventions and personalized instruction to reinforce math concepts, bridge skill gaps, and promote mastery of Grade 10 math standards.
Math Lab 10 provides students with the mathematical foundation necessary to succeed in their core courses and progress toward higher-level math understanding.
Foundational Math 9 (MA650) (1 credit)
Course placement required
Foundational Math 9 is an intensive support math course designed for students who need specialized assistance in developing essential math skills.
The course focuses on building a strong understanding of foundational concepts such as basic operations and number sense through teacher-directed instruction on critical skills and concepts, including addition, subtraction, multiplication, division, basic fractions, fractions, decimals, percents, ratios, and equations.
Through personalized instruction, hands-on activities, and consistent support, students will gain confidence and progress toward mastering the math skills necessary for future academic success.
Foundational Math 10 (MA660) (1 credit)
Course placement required
Foundational Math 10 is an intensive support math course designed for students who need specialized assistance in developing essential math skills.
The course focuses on building a strong understanding of foundational concepts such as basic operations and number sense through teacher-directed instruction on critical skills and concepts, including addition, subtraction, multiplication, division, basic fractions, fractions, decimals, percents, ratios, and equations.
Through personalized instruction, hands-on activities, and consistent support, students will gain confidence and progress toward mastering the math skills necessary for future academic success.
Resource Math (MA990) (1 credit)
Resource Math provides targeted support for students who struggle with basic math concepts, operations, or word problems.
Each strategic module provides teacher-directed instruction on critical skills and concepts to aid understanding of addition, subtraction, multiplication, division, basic fractions, fractions, decimals, percents, ratios, and equations, leading to mastery.
The course supports learners who require foundational instruction to build confidence and competence in mathematics for daily living and future transition goals.
Placement in this course is based on IEP team decisions and aligns with individualized education plans.
The course may be delivered in a small-group or one-on-one setting, depending on student needs.