# Mathematics Department

... our program reflects a balance between the development of conceptual understandings and procedural skills

Our program is focused on developing independent and interdependent learners who can use their resources to enhance their understanding of each mathematical concept. Instruction for all students includes a common core of topics aligned with the Connecticut’s Standards for Mathematics. The courses focus on exploring mathematical content through multiple representations including algebraic, numerical, and graphical, all through the integration of technology. Each of our courses has incorporated the use of technology both in the classroom as well as through the use of take home online units, performance based assessments and problem sets.

A sequence of Algebra I (primarily in the 8th grade at McGee), Geometry, and Algebra II will result in college and career readiness. Additional courses are recommended for students considering college majors in mathematics, engineering, other science related fields, or business. AP, UCONN ECE and honors courses provide students with content and/or rigor beyond what is expected in a college preparatory course.

#### COURSE OFFERINGS:

#### Mathematics Dept. Curriculum Map

#### HS02001B14 Grade 9 Academic Math Support HS02001B24 Grade 10 Academic Math Support HS02001B34 Grade 11 Academic Math Support HS02001B44 Grade 12 Academic Math Support

###### HS02001B14 Grade 9 Academic Math Support

HS02001B24 Grade 10 Academic Math Support

HS02001B34 Grade 11 Academic Math Support

HS02001B44 Grade 12 Academic Math Support

Full Year 1.00 credit

Prerequisite: NWEA testing and/or teacher recommendation.

This course provides students the opportunity to develop the fundamental math skills necessary for the continued study of mathematics. Classes will provide both individualized and group instruction targeting these skills focusing on student’s ability to understand and solve both multi-step and openended problems. Additionally, this course will also be an instructional support system for the student’s current course work, increasing their working knowledge of the CCSS-M standards for Algebra 1, Geometry and Algebra 2. Eligibility for this course will be determined by both the results of the NWEA testing, and the student’s performance in their current math course. Credit received for this course will not count towards the Mathematics credit requirement necessary for graduation.

#### Balanced Algebra 1/ Geometry I

###### HS02174G13

Balanced Algebra 1/ Geometry I

Full Year 1.00 credit (.67 cr. NCAA)

###### Prerequisite: Pre-Algebra and/or teacher recommendation

This is the first of a three –course sequence that is aligned to the CCSS-M standards for Algebra 1 and Geometry. This course emphasizes problem solving utilizing concepts from algebra, geometry, probability and statistics and discrete mathematics concepts. Topics of study include Pythagorean Theorem, probability and decision-making, properties of real numbers and algebraic expressions, solving linear equations, ratios and proportions, and area, perimeter and circumference, similarity and dilations, properties of parallel and perpendicular lines, and properties of circles. Computer technology and scientific calculators are integrated into coursework.

#### Algebra I

###### HS02052G Algebra I

Full Year 1.00 credit

Prerequisite: 8th Grade Algebra Concepts or transfer students and teacher recommendation

This course includes a study of the real number system, first degree equations and inequalities and an introduction to quadratic expressions and equations. Problem-solving and applications to real-life situations is emphasized. The curriculum utilizes real data and technology to help visualize the material.

#### Balanced Algebra 1/ Geometry II

###### HS02174G23

Balanced Algebra 1/ Geometry II

Full Year 1.00 credit (.67 cr. NCAA)

Prerequisite: Balanced Algebra 1/ Geometry I, Algebra I, or teacher recommendation

This is the second of a three-course sequence that is aligned to the CCSS-M standards for Algebra 1 and Geometry. This course emphasizes problem solving utilizing concepts from algebra, geometry, and basic probability. The coursework spirals off the content presented in Balanced Algebra 1/ Geometry I. Topics of study include solving and graphing linear equations including rational numbers in any form, solving linear inequalities, solving application problems involving linear equations, ratios, rates and proportions (and their applications), surface area and volume, and segment and angle addition. Also, defining, evaluating, comparing and modeling with functions, analyzing data through scatter plots and best-fit lines, basic right-triangle trigonometry, coordinate geometry and geometric constructions. Computer technology, scientific and graphing calculators are integrated into coursework.

#### Balanced Algebra 1/ Geometry III

###### HS02174G33

Balanced Algebra 1/ Geometry III

Full Year 1.00 credit (.67 cr. NCAA)

Prerequisite: Successful completion of Balanced

Algebra 1/ Geometry II or teacher recommendation.

This is the third of a three-course sequence that is aligned to the CCSS-M standards for Algebra 1 and Geometry. This course spirals off content presented in Balanced Algebra 1/ Geometry I and II. Topics of study include solving systems of equations and inequalities, laws of exponents (including radicals and integer exponents), interpreting data, probability, polynomial operations, factoring, solving quadratic equations, properties of parallel and perpendicular lines, quadrilaterals, transformations and Isometrics, triangle congruence and proof, and properties and theorems involving circles. Computer technology, scientific and graphing calculators are integrated into coursework. A comprehensive look at applications of these topics is integrated into the curriculum.

#### Financial Algebra

###### HS02155G Financial Algebra

Full Year 1.00 credit

Prerequisite: Concepts of Algebra and Geometry III, and/or teacher recommendation

This course covers financial topics such as banking, checking and savings accounts, mortgages,consumer credit investing, employment, independent living, budgets and automobile ownership. Selected topics from Algebra I and II, Geometry, Pre-Calculus and Probability and Statistics are integrated into coursework. Computer technology, scientific calculators and graphing calculators will be used to support classroom instruction.

#### Geometry

###### HS02072G Geometry

Full Year 1.00 credit

Prerequisite: Algebra I and teacher recommendation

This course includes the study of deductive and inductive reasoning, parallel lines and planes, congruent triangles, quadrilaterals, similar polygons, right triangles, and circles. Hands-on activities, technology, and algebraic proof are utilized to develop the concepts presented in class.

#### **Honors Geometry

###### HS02072H ** Honors Geometry

Full Year 1.00 credit

Prerequisite: Honors Algebra I and teacher recommendation

This course includes the topics listed for Geometry, but the topics are covered in greater depth. Additional topics may include coordinate geometry and transformations. A greater emphasis is given to logic and more rigorous treatment is given to deductive proof and critical thinking.

#### Algebra II A

###### HS02056G12 Algebra II A

Full year 1.00 credit (pending NCAA approval)

Prerequisite: Geometry or Balanced Algebra and Geometry III

This course is designed to strengthen and extend the concepts learned in Algebra 1 and introduce the essential concepts in Algebra 2. Topics include equations and inequalities in one variable, graphing linear, exponential and quadratic equations, problem solving, and operations with polynomials. Graphing is emphasized in relation to all functions studied. A graphing calculator is required.

#### Algebra II B

###### HS02056G22 Algebra II B

Full year 1.00 credit (pending NCAA approval)

Prerequisite: Algebra IIA

This course is designed to extend the topics learned in Algebra 2 Part 1 and provide a basic introduction to statistics. Algebra 2 topics include logarithmic, polynomial and radical functions. This course will also take an introductory look at the theory and use of statistics. Emphasis will be on the collection and analysis of data, elementary probability and experimental design.

#### Algebra II

###### HS02056G Algebra II

Full Year 1.00 credit

Prerequisite: Geometry and teacher recommendation

This course is a continuation of Algebra I with emphasis on the concepts of linear, quadratic, and exponential functions, polynomials, rational expressions, radicals, irrational numbers, complex numbers, problem solving, data analysis and technology.

#### **Honors Algebra II

###### HS02056H ** Honors Algebra II

Full Year 1.00 credit

Prerequisite: Honors Algebra I, Honors Geometry and teacher recommendation

This course includes the study of all topics listed for Algebra II with more rigorous treatment.

#### College Algebra and Math Modeling

###### HS02057G College Algebra and Math Modeling

Full Year 1.00 credit

Prerequisite: Algebra II and teacher recommendation

The course emphasizes two components necessary for success in future math courses. The first component consists of basic algebraic notions and their manipulations. The second component consists of the practice of solving multi-step problems from other disciplines, called mathematical modeling. The topics include lines, systems of equations, polynomials, functions, quadratic equations, complex numbers, triangle trigonometry, and rational expressions, exponential and logarithmic functions. This course is strongly recommended for students whose algebra skills need reinforcement. This course can be taken before Pre-Calculus, however, cannot be taken after Pre-Calculus. A TI84 Plus Graphing Calculator is required.

#### Trigonometry

###### HS02103G Trigonometry

1/2 Year .50 credit

Prerequisite: Concepts of Algebra and Geometry III,

Algebra II and teacher recommendation

This course introduces students to the major topics found in a college trigonometry course. Students will study properties and many real-world applications of the six trigonometric functions. Computer technology, scientific calculators and graphing calculators are integrated into coursework. Students may not earn credit for both Trigonometry and Pre-Calculus.

#### Probability and Statistics I

###### HS02201G Probability and Statistics I

1/2 Year .50 credit

Prerequisite: Algebra II and teacher recommendation

This course is designed to provide the background necessary to interpret statistical data. It will include elementary probability and the fundamental statistics needed to interpret and prepare research materials. Students may not earn credit for both Statistics and Probability and UConn/ECE Statistics.

#### Probability and Statistics II

###### HS02202G Probability and Statistics II

1/2 Year .50 credit

Prerequisite: Probability and Statistics I

This course builds on topics found in Statistics and Probability I. It is designed to provide the background necessary to interpret statistical data in your everyday life and your career. Topics of study include normal probability distributions, hypothesis testing and correlation and regression. Time permitting, confidence intervals will be included. There is a focus on the relevance of statistics through the use of “real world” examples. Graphing calculators are integrated into this course. Students may not earn credit for both Statistics and Probability I /II and UConn/ECE Statistics.

#### Pre-Calculus

###### HS02110G Pre-Calculus

Full Year 1.00 credit

Prerequisite: Algebra II and teacher recommendation

This course includes the study of polynomial, rational, exponential, and logarithmic functions and their graphs. There is a concentrated study of trigonometry. Additional topics include sequence and series and analytic geometry. The TI 84 Plus Graphing Calculators is highly recommended for this course and will be integrated into coursework.

#### **Honors Pre-Calculus

###### HS02110H **Honors Pre-Calculus

###### Full Year 1.00 credit

Prerequisite: Honors Algebra II and teacher recommendation

This course includes a rigorous, in-depth study and application of linear, quadratic, higher degree polynomials, rational, exponential, logarithmic, and trigonometric functions. Vectors, laws of trigonometry, conic sections, and polar coordinates are also studied and used to solve various application problems. Additional topics include sequences, series, and three-dimensional coordinate geometry. Graphing calculators are integrated into coursework. The TI-84 Plus graphing calculator is required for this course.

#### Contemporary Math

###### HS02061G Contemporary Math

###### Full Year 1.00 credit

For seniors who have completed Algebra II (75 or below) or students who have completed BAG III (75 or below) Topics in this course include sets, logic number theory, geometric concepts, consumer finance, and an introduction to probability and statistics. The following topics of an algebra review are incorporated as well: signed numbers, solving linear equations and inequalities in one variable, solving formulas and word problems involving linear equations, graphing linear equations and inequalities in two variables, formulating equations of lines in two variables, rules of integral exponents and the four operations (addition, subtraction, multiplication, division) on polynomials, factoring, and solving systems of two equations in two variables.

#### **UConn/ ECE Discrete Mathematics (UConn Math 1030Q)

###### HS02102H **UConn/ ECE Discrete

###### Mathematics (UConn Math 1030Q)

Sem. 1 .50 credit

Prerequisite: Pre-Calculus and teacher recommendation

This course is offered in conjunction with the University of Connecticut Early College Experience (ECE) program. This course emphasizes problem solving through the following concepts: voting methods, apportionment methods, mathematics of money, counting principles an probability, graph theory. (UConn credit will be granted to pre-registered students with a grade of C or better. Students are individually responsible for costs associated with the University of Connecticut.)

#### ** Honors Calculus

###### HS02122H/HS02123H ** Honors Calculus

###### Full Year 1.00 credit

Prerequisite: Pre-Calculus or Calculus Concepts and teacher recommendation

This course includes the study of the following topics, with supporting algebraic topics: limits, derivatives, and

extreme values of algebraic, trigonometric, exponential and logarithmic functions. Additional topics include techniques and applications of antidifferentiation and integration. Graphing calculators are integrated into coursework. The TI-84 Plus graphing calculator is required for this course.

#### Calculus Concepts

###### HS02121G Calculus Concepts

###### Full Year 1.00 credit

###### Prerequisite: Pre-Calculus and teacher recommendation

This course includes the study of the following topics, with supporting algebraic topics: limits, derivatives, extreme values, and anti-derivatives of algebraic, trigonometric, exponential and logarithmic functions. Time permitting, additional topics include the definite integral as well as techniques and applications of integration. Graphing calculators are integrated into the coursework. The TI-84 Plus is required for this course.

#### Elementary Math Modeling

###### HS02105G Elementary Math Modeling

###### 1/2 Year .50 credit

Prerequisite: College Algebra and Math Modeling or Pre-Calculus and teacher recommendation.

This course presents algebra and trigonometry concepts utilizing graphic, numeric and symbolic methods to analyze quantitative relationships and illustrate the role of mathematics in modern life. The graphing calculator and Excel are integrated into most sections. The TI 84 Plus Graphing Calculator is required for this course.

#### Modern Applications of Math – A Computer Based Course

###### HS02153G Modern Applications of Math – A

###### Computer Based Course

Full Year 1.00 credit

Prerequisite: Algebra 2 and teacher recommendation

This course spirals off Algebra II and Geometry topics and applies them to modern-day problems and uses. Topics of study include sabermetrics (the study of baseball statistics), vector and matrices in relation to computer graphics, discrete math and its role in computer programming, and game theory (strategic decision making). Each topic will have a computer-based component associated with it to support classroom instruction. A technology-based project will be integrated into each quarter. A TI 84 Plus Graphing Calculator is required for this course.

#### Finite Mathematics

###### HS02104G Finite Mathematics

###### 1/2 Year .50 credit

Prerequisite: Algebra II and teacher recommendation

Topics to include those chosen from logic, theory of sets, counting techniques, probability theory, linear equations, linear programming, matrix algebra, graph theory, and Markov chains. Emphasis placed on the construction of mathematical models and their applications. The TI 84 Plus Graphing Calculator is required for this course.

#### **AP Computer Science A

###### HS10157H **AP Computer Science A

###### Full Year 1.25 credit (pending NCAA approval)

Prerequisite: Completion of Algebra 1 with a B or higher, or successful completion of Algebra 2.

The AP Computer Science course is an introductory course in computer science. Because the design and implementation of computer programs to solve problems involve skills that are fundamental to the study of computer science, a large part of the course is built around the development of computer programs that correctly solve a given problem. These programs should be understandable, adaptable, and, when appropriate, reusable. At the same time, the design and implementation of computer programs is used as a context for introducing other important aspects of computer science, including the development and analysis of algorithms, the development and use of fundamental data structures, the study of standard algorithms and typical applications, and the use of logic and formal methods. In addition, the responsible use of these systems is an integral part of the course.

#### **Advanced Placement, UConn/ECE Calculus

###### HS02124H **Advanced Placement, UConn/ECE Calculus

Full Year 1.25 credit

AP Calculus, (UConn Math 1131Q and 1132Q)

###### Prerequisite: Honors Pre-Calculus and teacher recommendation.

This course is offered in conjunction with the University of Connecticut Early College Experience (ECE) program. This advanced course in mathematics provides a comprehensive and rigorous development of the concept of function (including polynomial, rational, trigonometric, logarithmic and exponential), limits, continuity, differentiation, integration, infinite series, and polar coordinates. The TI-84 Plus graphing calculator is required for this course. Calculus also has one additional class period per week. This course will provide the background needed for any student who desires to take the UConn and/or Advanced Placement AB Examination in Calculus. We expect each member of this class to achieve University of Connecticut credit, as well as take the Advanced Placement examination. (UConn credit will be granted to pre-registered students with a grade of C or better. Students are individually responsible for costs associated with the University of Connecticut and the Advanced Placement examination.

#### **UConn/ ECE Statistics

###### HS02203H **UConn/ ECE Statistics

###### (STAT-1100 QC)Sem. 2

0.50 credit

Prerequisite: Pre-Calculus and teacher recommendation

This course is offered in conjunction with the University of Connecticut Early College Experience (ECE) program. This course considers a standard approach to statistical analysis primarily for students of business and economics. Topics of study include elementary probability, sampling distributions, confidence intervals and hypothesis testing, regression and correlation, exploratory data analysis. Statistical functions of the graphing calculator are integrated into the coursework. The TI-84 Plus graphing calculator is highly recommended for this course (UConn credit will be granted to pre-registered students with a grade of C or better. Students are individually responsible for costs associated with the University of Connecticut.)