- Diman Regional Voc-Tech
- Math Courses

# 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.

**1063 - Algebra 1**

Grade 09 | 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 09 | 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 introduced to the uses of exponential growth and decay 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 Plans.

**1413 - Algebra 1 Enrichment**

Grade 09 | 2.5 Credits | Level 2

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

**1414 - Topics of Algebra 1 Enrichment**

Grade 09 | 2.5 Credits | Level

This supplementary course is designed to
fill-in conceptual gaps from Algebra 1 that students have
not yet mastered. Common MCAS deficiency areas include
sequences and series, ratios and proportions, exponent
rules, and solving literal equations. Extensive practice on
TestNav, the online MCAS 2.0 platform, will be utilized
each cycle to prepare to take the computer-based test in the
sophomore year.

**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 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 line, similar and congruent figures, right triangles, special right triangles and circles. Students will use formulas to find area of plane figures, and the surface area and volume of solid figures. Algebra will be integrated where appropriate.

*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.

**1416 - Geometry Enrichment**

Grade 09/10 | 2.5 Credits | Level 2

This supplementary course extends 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, and factor
quadratic expressions. Extensive practice on TestNav, the
online MCAS 2.0 platform, will be utilized each cycle leading
up to the exam.

**1418 - Honors Geometry Enrichment**

Grade 09/10 | 2.5 Credits | Level 1

This supplementary course extends the
concepts from Algebra 1 with content critical
to success in both honors-level Geometry and
in the MCAS 2.0 exam. Extensive practice on
TestNav, the online MCAS 2.0 platform, will be utilized each
cycle leading up to the exam.

**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 Plans.

**1417 - Topics of Geometry Enrichment**

Grade 10 | 2.5 Credits | Level 3

This supplementary course is designed to
fill-in conceptual gaps from Geometry that students have
not yet mastered. Common MCAS deficiency areas include
special right triangles, Pythagorean Theorem, and angle
theorems. Extensive practice on TestNav, the online MCAS
2.0 platform, will be utilized each cycle to prepare to take the
computer-based test in the sophomore year.

**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 s 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. When time allows, the mathematics of finance is considered. Emphasis is placed on analysis of applications throughout the course.

*Prerequisite: Grade of 80 or above in Honors Geometry or
Grade 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.

**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 solve quadratic equations, find relative extrema, divide polynomials, and explore the imaginary number system. Extensive practice on *TestNav*, the online MCAS 2.0 platform, will be utilized each cycle leading up to the exam.

**9601 - AP Computer Science Principles**

Grade 10-12 | 5 Credits | Level 5

AP Computer Science Principles introduces students to the
central ideas of computer science, instilling the ideas and
practice of computational thinking, and inviting students to
understand how computing changes the world. Students develop
innovating computational artifacts using the same creative process
artist,writers,computer scientist, and engineers use to bring ideas to
life.

**This course is suited for students who intend to continue their post-secondary education at
a four year college with a major requiring Calculus. Honors Pre-calculus or completion of honors entrance requirements
(teacher recommendation, entrance assessment for all students coming from college prep
level, and grade over 90% in previous pre-calculus class)

**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 Plans.

**1994 - SAT/ACT Prep**

Grade 11 | 2.5 Credits | Level 2

This course is designed for students who intend to take the SAT or ACT exam. Students in this course begin with a brief review of topics covered on the exams. The course includes an SAT Prep review book with practice SAT exams. Student will also use online ACT and SAT resources.

*This is a supplementary course which is taken in conjunction with a junior or senior level course and is suited for students who intend to continue their post-secondary education at a two-year college, four-year college, or post-secondary vocational school. None

**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, modeling of sinusoidal waves using sine and cosine functions (amplitude, period, etc.), inverse functions of sine, cosine, and tangent with basic trig identities, Laws of Sines, and Laws of Cosines with applications to conic sections will also be investigated. Students will also become familiar with the properties and translations of parabolas, circles, ellipses and hyperbolas. Extensive use of the graphing calculator is required throughout the course.

*Prerequisite: Grade of 80 or above in Honors Algebra 2 or

Grade of 90 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 also study right triangle trigonometry with applications of the six trigonometric functions and their graphical representations. Students will define general angles and use radian measure. They will evaluate trig functions of any angle and their inverse functions of sine, cosine and tangent. Students will explore oblique triangles, finding missing lengths, sides and angles using the Laws of Sines and Laws of Cosines. 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.

**1300 - Grade 11/ 12 Math Lab**

Grade 11/12 | 2.5 Credits | Level 3

This supplementary course is intended for students whose math skills are below grade level. Students begin with a brief review of topics covered in Algebra 1 and continue with systems of equations, rules for exponents and radical expressions. The course includes introduction to matrices, adding and multiplying matrices, quadratic equations, complex numbers, the quadratic formula and its applications, dividing polynomials, combinations and permutations, radical expressions – multiplying and dividing, and rational exponents.

*Prerequisite: Concurrent enrollment in Topics of Algebra 2, Topics of Advanced Algebra & Trigonometry, or Business Math.

**This supplementary course is taken in conjunction with Topics of Algebra 2 and is suited for students who intend to continue their post-secondary education at a two-year college, post-secondary vocational school, or intend to enter the work force

**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

Did the Houston Astros use a computer
algorithm to help them win the 2017 World
Series? Is Lebron James “clutch” or just
a product of luck on game-winning shots? Is there a
mathematic formula to predict who will play in the Super
Bowl this season?

Students in this course will be able to justify their conclusion to these questions and many others through analysis of data in the realm of sports. Students will also use technology to collect, analyze, and predict sports-related data (i.e. fantasy sports, player performance, and probability of winning). Topics include displaying categorical and quantitative data appropriately, distribution analysis, determining correlation between two variables, making predictions, collecting data, and the basics of probability.

*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.

**1996 - Introduction to Accounting**

Grade 11/12 | 2.5 Credits | Level 2

Students will learn the importance of
accounting, the main accounting concepts, and
how they form the basis for generally accepted
accounting principles (GAAP). Students
will learn how to use the basic accounting equation and
understand how to analyze basic business transactions. They
will learn about assets, liabilities, owners’ equity, revenues,
and expenses.

An introduction to formal record keeping and the steps
involved in the accounting process including transaction
analysis, chart chart of account, general journal, posting process,
journalizing, and preparing financial statements.

Students will learn how the income statement and the balance
sheet relate. Students will be introduced to the two financial
statements that are reflected in the accounting equation.
They will learn how to prepare a trial balance and financial
statements including an income statement and a balance
sheet.

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

Grade 12 | 5 Credits | Level 2/3

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, budgeting, credit, banking services, insurance, home and car ownership and rental, and personal taxes 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.

*This course is suited for students who intend to continue their post-secondary education at a four year college with a major requiring Calculus.

**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.