- Diman Regional Voc-Tech
- Course Descriptions

# Math Courses

The study of mathematics is an integral component of a variety of academic and vocational disciplines. All mathematics curricula were redesigned in 2016 to meet the various needs of Diman Regional Vocational Technical High School students to prepare them for MCAS 2.0, PSAT/SAT, and Accuplacer in accordance with NCTM and Common Core guidelines. Graduates who are continuing their education by enrolling in a two year or four year institution, enlisting in the military, or entering the workforce will be well prepared for the future after completing the comprehensive four year mathematics program.

## Grade 9

**1032 - Honors Geometry**

Grade 09/10 | 5 Credits | Level 1

This in-depth study of theorems and postulates uses two column proofs and expects students to form conclusions based given information. Topics which are covered at an accelerated rate include pairs of angles, properties of polygons and circles, properties of right triangles, properties of parallel lines, and the proofs of congruent and similar triangles. Students will use formulas to find area of plane figures, and the surface area and volume of solid figures. Emphasis is placed on logical reasoning and problem solving using algebra where appropriate. Prior subject knowledge is expected. Students must be able to utilize appropriate academic language to express complex mathematical concepts. Successful students will be able to demonstrate mastery on rigorous assessments.**Prerequisite: Grade of 80 or above in Honors Algebra 1 orGrade of 90 or above in Algebra 1, teacher recommendation, and passing score on placement exam **This course is suited for students who intend to continue their post-secondary education at a four year college. *

**1052 - Geometry**

Grade 09/10 | 5 Credits | Level 2

This course covers two and three dimensional geometric figures and their properties. In addition, students will study pairs of angles, the properties of parallel lines, similar and congruent figures, right triangles, special right triangles and circles. Algebra will be integrated throughout the course. **Prerequisite: Algebra 1 or Topics of Algebra 1 with compensatory work after teacher recommendation.
**This course is suited for students who intend to continue their post-secondary education at a two or four year college, post-secondary vocational school, or intend to enter the work force or enlist in the military. *

**1063 - Algebra 1**

Grade 9 | 5 Credits | Level 2

In this course, students will use algebra to solve one and two variable equations, follow more complex order of operations as well as graphing linear equations using tables and slope intercept method. Students will also graph inequalities. Students will solve systems of equations using graphing, substitution and elimination. The Power Rule of Exponents will also be introduced. Students will also work with exponents, polynomial expressions both multiplying and factoring, and will be introduced to the Quadratic Formula.**This course is suited for students who intend to continue their post-secondary education at a two or four year college, post-secondary vocational school, or intend to enter the work force or enlist in the military. *

**1301/ **7421 - Topics of Algebra 1**

Grade 9 | 5 Credits | Level

This course introduces such topics as operations with real numbers and order of operations. Students will also solve linear equations and inequalities with one variable. Students will then graph linear equations and inequalities with two variables using tables and the slope intercept method. Students will also be introduced to parallel and perpendicular lines. They will also be introduced to the concept of using slope intercept to write the equation of a line. Students will be introduced to solving systems of equations using substitution, elimination and graphing. Scientific notation and rules for exponents will also be covered. Students will be introduced to solving systems of equations as they study simple compound interest and depreciation.**This course is suited for students who intend to continue their post-secondary education (with remediation) at a two-year college, post-secondary vocational school, or intend to enter the work force or enlist in the military.**7421 – A modified curriculum course for students on Individualized Education Programs. *

**1413 - Algebra 1 Enrichment**

Grade 9 | 2.5 Credits | Level 2

This supplementary course is designedto strengthen core Algebra 1 skills. Common MCASdeficiency areas include sequences and series, ratios andproportions, exponent rules, and solving literal equations.Extensive practice on TestNav, the online MCAS 2.0platform, will be utilized each cycle to prepare to take thecomputer-based test in the sophomore year. * *

**1414 - Topics of Algebra 1 Enrichment**

Grade 9 | 2.5 Credits | Level

This supplementary course is designed tofill-in conceptual gaps from Algebra 1 that students havenot yet mastered. Common MCAS deficiency areas includesequences and series, ratios and proportions, exponentrules, and solving literal equations. Extensive practice onTestNav, the online MCAS 2.0 platform, will be utilizedeach cycle to prepare to take the computer-based test in thesophomore year. * *

**1416 - Geometry Enrichment**

Grade 09/10 | 2.5 Credits | Level 2

This supplementary course utilizes the concepts from Algebra 1 with content critical to success in both Geometry and in the MCAS 2.0 exam. Students will perform arithmetic operations on polynomials, simplify radicals, factor quadratic expressions, use formulas to find area of plane figures, the surface area and volume of solid figures, and apply transformation concepts. * *

**1418 - Honors Geometry Enrichment**

Grade 09/10 | 2.5 Credits | Level 1

This rigorous supplementary accelerated course extends the concepts from Algebra 1 with content critical to success in both honors-level Geometry and in the MCAS 2.0 exam. Students will perform arithmetic operations on polynomials, simplify radicals, factor quadratic expressions, use formulas to find area of plane figures, the surface area and volume of solid figures, and apply transformation concepts. * *

## Grade 10

**1032 - Honors Geometry**

Grade 09/10 | 5 Credits | Level 1

This in-depth study of theorems and postulates uses two column proofs and expects students to form conclusions based given information. Topics which are covered at an accelerated rate include pairs of angles, properties of polygons and circles, properties of right triangles, properties of parallel lines, and the proofs of congruent and similar triangles. Students will use formulas to find area of plane figures, and the surface area and volume of solid figures. Emphasis is placed on logical reasoning and problem solving using algebra throughout the course. Prior subject knowledge is expected. Students must be able to utilize appropriate academic language to express complex mathematical concepts. Successful students will be able to demonstrate mastery on rigorous assessments.**Prerequisite: Grade of 80 or above in Honors Algebra 1 or Grade of 90 or above in Algebra 1, teacher recommendation, and passing score on placement exam
**This course is suited for students who intend to continue their post-secondary education at a four year college. *

**1052 - Geometry**

Grade 09/10 | 5 Credits | Level 2

This course covers two and three dimensional geometric figures and their properties. In addition, students will study pairs of angles, the properties of parallel lines, similar and congruent figures, right triangles, special right triangles and circles. Algebra will be integrated throughout the course. **Prerequisite: Algebra 1 or Topics of Algebra 1 with compensatory work after teacher recommendation.
**This course is suited for students who intend to continue their post-secondary education at a two or four year college, post-secondary vocational school, or intend to enter the work force or enlist in the military. *

**1054 - Honors Algebra 2**

Grade 10/11 | 5 Credits | Level 1

This accelerated paced course will feature sophisticated methods of solving linear, quadratic, and higher-order equations. Matrices will be used to solve for three or more unknowns in a system of equations with a focus on applications of simultaneous equations. Students will be able to simplify, classify, and solve equations with higher-order polynomials and will apply the Fundamental Theorem of Algebra to find real and complex solutions. An in-depth study of radicals will allow students to simplify and rationalize higher-order roots and rational exponents. Students will use combinatorics to simulate real-life situations. Students will be able to work with rational expressions and equations and find and describe points of discontinuity on their related graphs. Sequences and series will be evaluated as well as standard deviations. Emphasis is placed on analysis of applications throughout the course.**Prerequisite: Grade of 80 or above in Honors Geometry orGrade of 90 or above in Geometry, teacher recommendation, and passing score on placement exam**This course is suited for students who intend to continue their post-secondary education at a four year college. *

**1113 - Algebra 2**

Grade 10/11 | 5 Credits | Level 2

This course continues the study of algebraic concepts with quadratics and polynomials. An in-depth study of quadratic equations will help students identify, solve, and use technology to graph quadratic functions. Students will examine the complex number system. Operations on polynomials will be performed and higher-order equations will be solved with both real and complex roots. An in-depth study of radicals will allow students to simplify and rationalize higher-order roots and rational exponents as well as solve rational equations. Exponential functions and their applications will also be considered.**Prerequisite: Geometry or Topics of Geometry with compensatory work after teacher recommendation.**This course is suited for students who intend to continue their post-secondary education at a two or four year college, post-secondary vocational school, or intend to enter the work force or enlist in the military. *

**1302/**7422 - Topics of Geometry**

Grade 10 | 5 Credits | Level 3

This course introduces such topics as properties of polygons, properties of circles, volume, area and perimeter of compound figures. Students will also become familiar with properties of triangles, similar and congruent figures, and the Pythagorean Theorem. Students will also solve simple problems involving parallel lines. Algebra concepts will be integrated where appropriate. Key student-friendly objectives including academic vocabulary will be introduced. Students will learn to use appropriate tools strategically.**Prerequisite: Topics of Algebra 1 or Algebra 1 with teacher recommendation.**This course is suited for students who intend to continue their post-secondary education (with remediation) at a two-year college, post-secondary vocational school, or intend to enter the work force or enlist in the military.***7422 – A modified curriculum course for students on Individualized Education Programs. *

**1415 - Algebra 2 Enrichment**

Grade 10/11 | 2.5 Credits | Level 2

This supplementary course extends the concepts from Algebra 2 with content critical to success in both Algebra 2 and in the MCAS 2.0 exam. Students will explore math vocabulary, sequences and series, quadratic equations, divide polynomials, and explore the imaginary number system. In semester 2, time will be allocated to reviewing MCAS concepts of number sense and quantity, algebra, functions, statistics & probability, and geometry in time for the spring administration of the exam. * *

**1416 - Geometry Enrichment**

Grade 09/10 | 2.5 Credits | Level 2

This supplementary course utilizes the concepts from Algebra 1 with content critical to success in both Geometry and in the MCAS 2.0 exam. Students will perform arithmetic operations on polynomials, simplify radicals, factor quadratic expressions, use formulas to find area of plane figures, the surface area and volume of solid figures, and apply transformation concepts. * *

**1417 - Topics of Geometry Enrichment**

Grade 10 | 2.5 Credits | Level 3

This supplementary course is designed tofill-in conceptual gaps from Geometry that students havenot yet mastered. Common MCAS deficiency areas includespecial right triangles, Pythagorean Theorem, and angletheorems. Extensive practice on TestNav, the online MCAS2.0 platform, will be utilized each cycle to prepare to take thecomputer-based test in the sophomore year. * *

**1418 - Honors Geometry Enrichment**

Grade 09/10 | 2.5 Credits | Level 1

This rigorous supplementary accelerated course extends the concepts from Algebra 1 with content critical to success in both honors-level Geometry and in the MCAS 2.0 exam. Students will perform arithmetic operations on polynomials, simplify radicals, factor quadratic expressions, use formulas to find area of plane figures, the surface area and volume of solid figures, and apply transformation concepts. * *

**1420 - Honors Algebra 2 Enrichment**

Grade | 2.5 Credits | Level 1

This supplementary course extends the concepts from Honors Algebra 2 with content critical to success in both Algebra 2 and in the MCAS 2.0 exam. Students will perform matrix operations, solve systems of quadratic equations and inequalities, discover sequences and series, and study discontinuous functions. In semester 2, time will be allocated to reviewing MCAS concepts of number sense and quantity, algebra, functions, statistics & probability, and geometry in time for the spring administration * *

## Grade 11

**1034 - Honors Pre-Calculus**

Grade 11/12 | 5 Credits | Level 1

This upper level course will begin with the use, as well as manipulation of exponential and logarithmic functions – both common and natural. It continues with angle measurements in radians, revolutions, and degrees. Students will also study right triangle trigonometry with applications of the six trigonometric functions and their graphical representations. Additionally, students will apply the basic trig. Identities, Laws of Sines, and Laws of Cosines. Applications to conic sections will be investigated, time permitting. Extensive use of the graphing calculator is required throughout the course.**Prerequisite: Grade of 80 or above in Honors Algebra 2 orGrade of 80 or above in Algebra 2, teacher recommendation, and passing score on placement exam**This course is suited for students who intend to continue their post-secondary education at a four year college. *

**1053 - Honors Algebra 2**

Grade 10/11 | 5 Credits | Level 1

This accelerated paced course will feature sophisticated methods of solving linear, quadratic, and higher-order equations. Matrices will be used to solve for three or more unknowns in a system of equations with a focus on applications of simultaneous equations. Students will be able to simplify, classify, and solve equations with higher-order polynomials and will apply the Fundamental Theorem of Algebra to find real and complex solutions. An in-depth study of radicals will allow students to simplify and rationalize higher-order roots and rational exponents. Students will use combinatorics to simulate real-life situations. Students will be able to work with rational expressions and equations and find and describe points of discontinuity on their related graphs. Sequences and series will be evaluated as well as standard deviations. Emphasis is placed on analysis of applications throughout the course.**Prerequisite: Grade of 80 or above in Honors Geometry orGrade of 90 or above in Geometry, teacher recommendation, and passing score on placement exam**This course is suited for students who intend to continue their post-secondary education at a four year college. *

**1113 - Algebra 2**

Grade 10/11 | 5 Credits | Level 2

This course continues the study of algebraic concepts with quadratics and polynomials. An in-depth study of quadratic equations will help students identify, solve, and use technology to graph quadratic functions. Students will examine the complex number system. Operations on polynomials will be performed and higher-order equations will be solved with both real and complex roots. An in-depth study of radicals will allow students to simplify and rationalize higher-order roots and rational exponents as well as solve rational equations. Exponential functions and their applications will also be considered.**Prerequisite: Geometry or Topics of Geometry with compensatory work after teacher recommendation.**This course is suited for students who intend to continue their post-secondary education at a two or four year college, post-secondary vocational school, or intend to enter the work force or enlist in the military. *

**1165 - Advanced Algebra & Trigonometry**

Grade 11/12 | 5 Credits | Level 2

This course begins with students exploring how to simplify, add, subtract, multiply & divide rational functions and solve rational equations. Students will explore various mathematical patterns, arithmetic and geometric sequences and series. Students will also study right triangle trigonometry, define general angles, and use radian measure. Extensive use of the graphing calculator is required throughout the course. **Prerequisite: Algebra 2 or Honors Algebra 2 with teacher recommendation.**This course is suited for students who intend to continue their post-secondary education at a two or four year college, post-secondary vocational school or intend to enter the work force or enlist in the military. ***Juniors enrolled in Advanced Algebra and Trigonometry should continue with a statistics course in their senior year unless otherwise recommended by their teacher. *

**1313/***7033 - Topics of Algebra 2**

Grade 11 | 5 Credits | Level 3

The course begins with an introduction to quadratic functions and their applications. Students will learn to solve quadratic equations using a variety of methods, including the quadratic formula. Students will also be introduced to complex numbers. Students will perform operations on polynomial expressions. Students will be introduced to radical expressions. They will also learn to multiply and divide these expressions. This course concludes with a study of rational exponents. **Prerequisite: Topics of Geometry or Geometry with teacher recommendation.*This course is suited for students who intend to continue their post-secondary education (with remediation) at a two-year college, post-secondary vocational school, or intend to enter the work force or enlist in the military.**7033- This is a modified curriculum course for students on Individualized Education Programs. *

**1454 - Statistics & Probability**

Grade 11/12 | 5 Credits | Level 2

Students will learn how to analyze and interpret data as well as justify their conclusions. Topics include: displaying categorical and quantitative data appropriately, distribution analysis, determining correlation between two variables, making predictions, collecting data and the basics of probability. Students will use technology to aide in all computations and focus on what the numbers mean in the context of the problem. **Prerequisite: Algebra 2 or Topics of Algebra 2 with teacher recommendation.**This course is suited for college-bound seniors. *

**1500 - Advanced Placement Statistics**

Grade 11/12 | 5 Credits | Level 5

The AP Statistics course is equivalent to a one-semester, introductory, non-calculus-based college course in statistics. The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes in the AP Statistics course: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding.**Weighted course towards GPA**This course is suited for college-bound seniors.***All students enrolled in AP classes will sit for the national AP Exam in May. *

## Grade 12

**1034 - Honors Pre-Calculus**

Grade 11/12 | 5 Credits | Level 1

This upper level course will begin with the use, as well as manipulation of exponential and logarithmic functions – both common and natural. It continues with angle measurements in radians, revolutions, and degrees. Students will also study right triangle trigonometry with applications of the six trigonometric functions and their graphical representations. Additionally, students will apply the basic trig. Identities, Laws of Sines, and Laws of Cosines. Applications to conic sections will be investigated, time permitting. Extensive use of the graphing calculator is required throughout the course.**Prerequisite: Grade of 80 or above in Honors Algebra 2 orGrade of 80 or above in Algebra 2, teacher recommendation, and passing score on placement exam**This course is suited for students who intend to continue their post-secondary education at a four year college. *

**1165 - Advanced Algebra & Trigonometry**

Grade 11/12 | 5 Credits | Level 2

This course begins with students exploring how to simplify, add, subtract, multiply & divide rational functions and solve rational equations. Students will explore various mathematical patterns, arithmetic and geometric sequences and series. Students will also study right triangle trigonometry, define general angles, and use radian measure. Extensive use of the graphing calculator is required throughout the course. **Prerequisite: Algebra 2 or Honors Algebra 2 with teacher recommendation.**This course is suited for students who intend to continue their post-secondary education at a two or four year college, post-secondary vocational school or intend to enter the work force or enlist in the military. ***Juniors enrolled in Advanced Algebra and Trigonometry should continue with a statistics course in their senior year unless otherwise recommended by their teacher. *

**1244/**7084 - Mathematics of Finance**

Grade 12 | 5 Credits | Level 3

This course is designed for career bound seniors. Students will be introduced to the mathematical skills and concepts needed to be successful in their personal finances and in their business. Topics such as payroll & salary, managing personal income, insurance, banking services, credit, and budgeting will be explored in depth. **Prerequisite: Topics of Algebra 2 or Algebra 2 with teacher recommendation.
**This course is suited for college-bound seniors.
***7084 – This is a modified curriculum course for students on Individualized Education Plans. *

**1284 - Honors Calculus**

Grade 12 | 5 Credits | Level 1

In this course students will build on the foundational topics introduced in Pre-calculus. Students will learn about concepts, techniques and applications of differential calculus of one variable and begin the study of integral calculus. Topics include the study of limits, derivatives and their applications, including graphs, optimization, and related rates. Students will apply these concepts to a wide range of real-world problems, including rates of change, optimization, and velocity/acceleration.**Prerequisite: Grade of 80 or above in Honors Pre-calculus **This course is suited for students who intend to continue their post-secondary education at a four year college with a major requiring Calculus. *

**1454 - Statistics & Probability**

Grade 11/12 | 5 Credits | Level 2

Students will learn how to analyze and interpret data as well as justify their conclusions. Topics include: displaying categorical and quantitative data appropriately, distribution analysis, determining correlation between two variables, making predictions, collecting data and the basics of probability. Students will use technology to aide in all computations and focus on what the numbers mean in the context of the problem. **Prerequisite: Algebra 2 or Topics of Algebra 2 with teacher recommendation.**This course is suited for college-bound seniors. *

**1455 - Statistical Reasoning & Probability in Sports**

Grade 11/12 | 5 Credits | Level 2

Is there a way to use statistical data to fairly compare Lebron to Jordan?
How are simulations used in predicting performance in fantasy sports?
What is the Pythagorean Expectation and how is it used in Major League Baseball?
Students in this course will be able to justify their answers to these questions and many others
through analysis of data in the realm of sports through project-based learning. Students will
also use technology to collect, analyze, and predict sports-related data (i.e. fantasy sports,
player performance, and win probability). Topics include displaying categorical and
quantitative data appropriately, determining correlation, calculating probability, and measuring
central tendency. Sports management, marketing, and industry trends will also be explored.**Prerequisite: Algebra 2 or Topics of Algebra 2 with teacher recommendation**This course is suited for college-bound seniors.***General sports knowledge and/or interest in a sports-related career preferred *

**1500 - Advanced Placement Statistics**

Grade 11/12 | 5 Credits | Level 5

The AP Statistics course is equivalent to a one-semester, introductory, non-calculus-based college course in statistics. The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes in the AP Statistics course: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding.**Weighted course towards GPA**This course is suited for college-bound seniors.***All students enrolled in AP classes will sit for the national AP Exam in May. *

**1600 - Advanced Placement Calculus**

Grade 12 | 5 Credits | Level 5

AP Calculus AB and AP Calculus BC focus on students’ understanding of calculus concepts and provide experience with methods and applications. Through the use of big ideas of calculus (e.g., modeling change, approximation and limits, and analysis of functions), each course becomes a cohesive whole, rather than a collection of unrelated topics. Both courses require students to use definitions and theorems to build arguments and justify conclusions.

The courses feature a multi-representational approach to calculus, with concepts, results, and problems expressed graphically, numerically, analytically, and verbally. Exploring connections among these representations builds understanding of how calculus applies limits to develop important ideas, definitions, formulas, and theorems. A sustained emphasis on clear communication of methods, reasoning, justifications, and conclusions is essential.**Weighted course towards GPA**This course is suited for college-bound seniors and may require a mandatory summer assignment.***All students enrolled in AP classes will sit for the national AP Exam in May.****Prerequisite: Grade of 80 or above in Honors Pre-calculus *