Math
| Site: | Learn@VCS |
| Course: | VCHS Course Catalog |
| Book: | Math |
| Printed by: | Guest user |
| Date: | Thursday, November 21, 2024, 2:39 PM |
Table of contents
- Department Overview
- Department Map
- Algebra I
- Geometry (Meets Daily)
- Geometry
- Geometry Honors*
- Algebra II (Meets Daily)
- Algebra II
- Algebra II Honors*
- Mathematics of Financial Analysis
- Consumer Math - Online
- Trigonometry/Pre-Calculus
- Trigonometry/Pre-Calculus (AB)
- Trigonometry/Pre-Calculus BC (H)
- Statistics (H)
- AP Statistics
- Advanced Data Analysis (H)
- Calculus (H)
- AP Calculus AB
- AP Calculus BC
- Multivariable Calculus (H)
Department Overview
DESCRIPTION OF EXCELLENCE
The Math department’s comprehensive program is designed to create successful academic opportunities for all ability levels, training students to be analytical, logical, precise, and critical thinkers while exploring how mathematics reveals God’s perfection, beauty, and logic.
DISTINCTIVE EXPERIENCE AND ACCOMPLISHMENTS
Proficiency in mathematics is achieved through persistence, effort, and practice, and, as a result, our students outperform the national average, with many being invited to join Mu Alpha Theta, the national mathematics honor society, and participate in local, national, and international math competitions.
Many mathematics courses use an online tutorial called ALEKS. Through an artificial intelligence engine and adaptive questioning, this online tutorial assesses a student's knowledge and delivers individualized instruction on the exact topics a student is most ready to learn. It gives the specific help that each child needs to develop skills and experience the satisfaction of completing a concept. The math department provides a morning tutorial Monday through Thursday during the first period.
Department Map
Algebra I
Algebra I focuses on problem solving by simplifying algebraic expressions and calculating algebraic sentences. Students learn to understand absolute value, apply the properties of arithmetic, and work with inequalities, exponents and polynomials. Students are prepared in the areas of graphs and linear equations, systems of equations, rational expressions, functions, the quadratic equation, and polynomials.
In this course, practice problems are designed to reinforce content taught and students may be required to preview new content at home through assigned reading with minimal preview practice problems.Place
| Course Number | 0810 |
| Grade Level | 9,10 |
| Pre-Requisite | Grade of C or higher in Pre-Algebra or equivalent (see VCHS counselor if Pre-Algebra has not been completed). A placement examination may be required. |
| Application and/or Audition Date | None |
| Credits | 10 |
| VCHS Graduation Credit | Mathematics |
| UC Approval | Yes Area C (Mathematics) |
| Fees | None |
Geometry (Meets Daily)
Daily Geometry enables students to cover the material in Geometry in a one year period at a slower pace. The daily structure of this course is designed to help reinforce the concepts taught.
Daily Geometry explores postulates and theorems of plane and solid geometry, parallel and perpendicular lines, polygons, and congruent and similar triangles. The course also covers special right-triangle relationships, trigonometric ratios, circles, area and volume, logic training, conditional statements, and writing various forms of proofs. Curriculum emphasizes algebraic and practical applications of geometry, proofs, and calculations based on geometric properties. Most of the practice problems can be completed in the allotted course period. This daily course counts as one math course but represents two periods for scheduling purposes.
Special Note: A TI-30X or TI-84+ graphing calculator is required.
| Course Number | 0817A/0817B |
| Grade Level | 9,10,11,12 |
| Pre-Requisite | Completion of Algebra I. A placement examination may be required. Recommendation: Grade C or higher in both semesters of high school Algebra I or grade C or higher in 8th Grade Algebra I. |
| Application and/or Audition Date | None |
| Credits | 10 |
| VCHS Graduation Credit | Mathematics |
| UC Approval | Yes Area C (Mathematics) |
| Fees | None |
Geometry
Geometry explores postulates and theorems of planar and solid geometry, parallel and perpendicular lines, polygons, and congruent and similar triangles. This course also covers special right-triangle relationships, trigonometric ratios, circles, area and volume, logic training, conditional statements, and writing various forms of proofs. The curriculum emphasizes the development of systematic problem solving and critical reading skills in a math context. This course is a combination of both a traditional and flipped instruction format. This daily course counts as one math course but represents two periods for scheduling purposes.
Special Note: A TI-30X or TI-84+ graphing calculator is required.
| Course Number | 0815 |
| Grade Level | 9,10,11,12 |
| Pre-Requisite | Completion of Algebra I with a grade of C or higher in high school Algebra I or grade B or higher in 8th grade Algebra I. A placement examination may be required. |
| Application and/or Audition Date | None |
| Credits | 10 |
| VCHS Graduation Credit | Mathematics |
| UC Approval | Yes Area C (Mathematics) |
| Fees | None |
Geometry Honors*
Geometry Honors expands the curriculum of the Geometry course to circles, basic trigonometry, polygons, and transformations with emphasis on algebraic problem solving. Students calculate volumes of prisms, pyramids, cylinders, and cones and learn about symmetry, rotations, and translations. The course also contains additional topics such as vectors, Law of Sines, and Law of Cosines suitable for the Honors class.
Special Note: A TI-30X or a TI-84+ graphing calculator is required.
*Though internal honors credit is given, the UC does not calculate an honors grade point for this course. Other colleges may assign honors credit.
| Course Number | 0816 |
| Grade Level | 9,10 |
| Pre-Requisite | Grade A in Algebra I or teacher recommendation. A placement examination may be required. |
| Application and/or Audition Date | None |
| Credits | 10 |
| VCHS Graduation Credit | Mathematics |
| UC Approval | Yes Area C (Mathematics)* |
| Fees | None |
Algebra II (Meets Daily)
This course is designed for students who would benefit from a slower paced introduction to algebraic concepts. It covers the elements in the regular Algebra II course, but students meet daily with the teacher, rather than every other day.
Daily Algebra II presents function notation, linear equations, factoring, quadratic and polynomial equations, and radical expressions. Students work with complex numbers, exponential and rational functions, logarithms, and simple statistics. Curriculum includes an introduction to conic sections, sequences and series, and a brief introduction to trigonometry. This course includes an extended review and reinforcement of algebra concepts. This daily course counts as one math course, but represents two periods for scheduling purposes.
Homework is minimal, as much of the coursework can be completed in the allotted course period.
Special Note: A TI-84+ graphing calculator is required.
This course offers math daily.
| Course Number | 0826A/0826B |
| Grade Level | 10,11,12 |
| Pre-Requisite | Completion of Algebra I and Geometry. A placement examination may be required. Recommendation: Grade of C or higher in Algebra I and Geometry. |
| Application and/or Audition Date | None |
| Credits | 10 |
| VCHS Graduation Credit | Mathematics |
| UC Approval | Yes Are C (Mathematics) |
| Fees | None |
Algebra II
Algebra II presents function notation, linear equations, factoring, quadratic and polynomial equations, and radical expressions. Students work with complex numbers, exponential and rational functions, logarithms, and simple statistics. Curriculum includes an introduction to conic sections, sequences and series, and an introduction to trigonometry. This course includes a review and reinforcement of Algebra I concepts.
Special Note: A TI-84+ graphing calculator is required.
| Course Number | 0820 |
| Grade Level | 10,11 |
| Pre-Requisite | Algebra I and Geometry with a grade of C or higher. A placement examination may be required. This course is not open to freshman without counselor approval. |
| Application and/or Audition Date | None |
| Credits | 10 |
| VCHS Graduation Credit | Mathematics |
| UC Approval | Yes Area C (Mathematics) |
| Fees | None |
Algebra II Honors*
Algebra II Honors expands and accelerates all topics found in Algebra II, including probability, an introduction to statistics, linear, quadratic and polynomial functions, rational equations, complex numbers, factoring polynomials, radical expressions, exponential functions, logarithms, conic sections, sequence and series, and trigonometry.
Special Note: A TI-84+ graphing calculator is required.
*Though internal honors credit is given, the UC does not calculate an honors grade point for this course. Other colleges may assign honors credit.
| Course Number | 0821 |
| Grade Level | 9,10,11 |
| Pre-Requisite | Grade of A in Algebra I and grade of B or higher in Geometry Honors, or teacher recommendation. A placement examination may be required. |
| Application and/or Audition Date | None |
| Credits | 10 |
| VCHS Graduation Credit | Mathematics |
| UC Approval | Yes Area C (Mathematics)* |
| Fees | None |
Mathematics of Financial Analysis
Mathematics of Financial Analysis is designed for students who are seeking an applied math course that emphasizes application to business and economics. This course is ideal for students who have completed Algebra II, and will be majoring in Business.
Mathematics of Financial Analysis is an applied math course that introduces students to the mathematics of business and personal finance. The course relies on a solid understanding of algebraic operations and linear and exponential models. Students will learn college preparatory mathematics topics from Advanced Algebra, Statistics, Probability, Geometry, Precalculus, and Calculus, practically integrated into seven financial categories: Banking, Investing, Credit, Employment and Income Taxes, Automobile Ownership, Independent Living, and Retirement Planning and Household Budgeting. This course is applications-oriented and teaches real-world use of technology for financial analysis.
The course is excellent preparation for students who plan to major in Business. It provides a motivating, young-adult centered financial context for understanding and applying the mathematics they are guaranteed to use in the future.
Special Note: A TI-84 calculator is required.
| Course Number | 0824 |
| Grade Level | 10,11,12 |
| Pre-Requisite | Completion of Algebra II with a grade of C- or higher. |
| Application and/or Audition Date | None |
| Credits | 10 |
| VCHS Graduation Credit | Mathematics |
| UC Approval | Yes Area C (Mathematics) |
| Fees | None |
Consumer Math - Online
The Consumer Math course is intended for students who need to fulfill the three year math requirement for graduation but who do not wish to move on to Algebra II. Students who take this course instead of Algebra II will not meet the eligibility requirements for 4- year colleges and universities.
This online BYU course reviews basic math operations, transferring concepts and skills gained in course to everyday situations. Topics include budgeting, insurance, banking, mortgages, and measurement. THIS COURSE OFFERS A FACILITATOR WHO CHECKS STUDENT PROGRESS AND UPDATES GRADES BIWEEKLY.
| Course Number | 0802X |
| Grade Level | 10,11,12 |
| Pre-Requisite | Completion of Geometry |
| Application and/or Audition Date | None |
| Credits | 10 |
| VCHS Graduation Credit | Mathematics |
| UC Approval | None |
| Fees | None |
Trigonometry/Pre-Calculus
Trigonometry/Pre-Calculus is designed to challenge students who have completed Algebra II. This course helps students gain comprehension of and proficiency in high-level foundational concepts. Students can move on to Math for Business Applications, Calculus, or Statistics after this course.
This one-year course covers all major topics in trigonometry and pre-calculus using the techniques that students have previously learned from their study of algebra and geometry; the trigonometry includes basic properties of trigonometric functions, various angle notations, trigonometric identities, and Laws of Sines and Cosines. The pre-calculus portion reviews and extends various topics and concepts learned in Algebra II.
The course prepares students for the study of calculus and strengthens their conceptual understanding of problems and mathematical reasoning in solving problems. This is especially important for students intending to study calculus, statistics, or business math in college.
Special Note: A TI-84+ graphing calculator is required.
| Course Number | 0825 |
| Grade Level | 10,11,12 |
| Pre-Requisite | Grade of B or higher in Algebra II and Geometry. A placement examination may be required. |
| Application and/or Audition Date | None |
| Credits | 10 |
| VCHS Graduation Credit | Mathematics |
| UC Approval | Yes Area C (Mathematics) |
| Fees | None |
Trigonometry/Pre-Calculus (AB)
Trigonometry/Pre-Calculus is designed to challenge students who have completed Algebra II. This course helps students gain comprehension of and proficiency in high-level foundational concepts. Students can move onto Mathematics of Financial Analysis, Calculus Honors, Statistics Honors or AP Calculus AB after this course.
This one-year course covers all major topics in trigonometry and pre-calculus using the techniques that students have previously learned from their study of algebra and geometry; trigonometry includes basic properties of trigonometric functions, various angle notations, trigonometric identities, and Laws of Sines and Cosines. The pre-calculus portion reviews and extends various topics and concepts learned in Algebra II.
The course prepares students for the study of calculus and strengthens their conceptual understanding of problems and mathematical reasoning in solving problems. This is especially important for students intending to study calculus, statistics, or business math in college.
In addition to the above, the course (0825A) is designed for students preparing for future enrollment in AP Calculus AB. Therefore, the pace is faster and the content is wider and deeper.
Special Note: A TI-84+ graphing calculator is required.
| Course Number | 0825A |
| Grade Level | 10,11,12 |
| Pre-Requisite | Grade C or higher in Algebra II Honors or recommendation from Algebra II instructor. A placement exam may be required. |
| Application and/or Audition Date | None |
| Credits | 10 |
| VCHS Graduation Credit | Mathematics |
| UC Approval | Yes Area C (Mathematics) |
| Fees | None |
Trigonometry/Pre-Calculus BC (H)
This course focuses on preparing students to be successful in AP Calculus BC and college-level Calculus courses. It is foundational for advanced high school physics courses, and the course is designed for students with high mathematic abilities.
This is a Pre-Calculus course that prepares students to be successful in AP Calculus BC. This course covers all major topics in trigonometry, including standard properties of trigonometric functions, inverse trigonometric functions, radians, Laws of Sines and Cosines, double and half-angle formulas, identities, complex numbers, matrices, determinants, polar coordinates, and polar equations. The Pre-Calculus portion explores three methods of solving systems of equations: algebraic, analytic, and with graphing calculators. Pre-Calculus topics include vectors in two and three dimensions, parametric equations, conic sections in parametric and polar forms, sequences, series, and math induction. This course includes a formal introduction to calculus, limits and continuity, derivatives and Calculus A topics to prepare for AP Calculus BC.
Special Note: A TI-84+ graphing calculator is required.
| Course Number | 0828 |
| Grade Level | 9,10,11,12 |
| Pre-Requisite | Grade B- or higher in Algebra II Honors. A placement examination may be required. |
| Application and/or Audition Date | None |
| Credits | 10 |
| VCHS Graduation Credit | Mathematics |
| UC Approval | Yes Area C (Mathematics) |
| Fees | None |
Statistics (H)
Statistics is designed for students who are seeking a math course that emphasizes application to business, economics, and social and behavioral sciences. It will help prepare students for AP Statistics, or university-level statistics or analytics.
Statistics focuses on the use of real-world data and the importance of relevance, context, and the interpretation of results. Topics include the history of statistics, the data collection process, graphical methods for displaying data, numerical methods for describing data, statistical inference, and linear regression and correlation. In addition, probability distributions, sampling variability, sampling distributions, and confidence intervals are studied. The course covers both analytical and inferential statistics. This course is designed for students who desire to take an advanced math course but who do not wish to take an AP course.
Special Note: A TI-84+ graphing calculator is required
| Course Number | 0850 |
| Grade Level | 10,11,12 |
| Pre-Requisite | Completion of Algebra II with a grade of C or higher. |
| Application and/or Audition Date | None |
| Credits | 10 |
| VCHS Graduation Credit | Mathematics |
| UC Approval | Yes Area C (Mathematics) |
| Fees | None |
AP Statistics
This course is designed for students who have successfully completed Algebra II and possess sufficient mathematical maturity and quantitative reasoning ability.
This course covers major introductory topics in both descriptive and inferential statistics, such as mean, median, mode, variance, standard deviation, linear and nonlinear regression, correlation, and hypothesis testing. Students learn sampling procedures, experimental design, estimate population characteristics, find and interpret confidence intervals, test hypotheses, compare two populations, and develop chi- squared tests. Students also learn to apply techniques for normal, binomial, geometric, and other discrete and continuous probability distributions. Microsoft Excel and other data analysis programs are used as a teaching tool in the classroom and is used by students on their computers and iPads. This course includes preparation and review for the AP statistics examination. Students will be prepared for the Advanced Data Analysis course.
Special Note: A TI-84+ graphing calculator is required.
| Course Number | 0844 |
| Grade Level | 10,11,12 |
| Pre-Requisite | Grade of B or higher in Algebra II or Statistics or grade of C or higher in Trigonometry/Pre-Calculus. |
| Application and/or Audition Date | None |
| Credits | 10 |
| VCHS Graduation Credit | Mathematics |
| UC Approval | Yes Area C (Mathematics) |
| Fees | AP Exam Fee |
Advanced Data Analysis (H)
This course is designed for students who have successfully completed AP Statistics and are currently taking or have completed calculus.
This is a second level course in advanced methods of statistical analysis of data for scientific and medical research, business, engineering, and economics. Students further their studies in techniques of data collection, real data analysis, applications using exponential, Gamma, Weibull, lognormal and Poisson distributions, writing hypotheses and conclusions, multiple regression, nonlinear regression, transformations to normalize data, one-way and two-way analysis of variance (ANOVA), Chi-Squared tests, nonparametric statistics, econometrics, modern product improvement techniques, and acceptance sampling. Students see many applications of the techniques used in real life data sets, work on projects, interpretation of computer output, and instruction in using R and JMP software to empower scientists and engineers to explore data visually. Students will learn how to use statistics to analyze and draw conclusions from research data. This is a calculus-based statistics course.
Special Note: A TI-84+ graphing calculator is required.
| Course Number | 0889 |
| Grade Level | 11,12 |
| Pre-Requisite | Grade of C or higher in AP Statistics. Completion of Calculus or concurrent enrollment. |
| Application and/or Audition Date | None |
| Credits | 10 |
| VCHS Graduation Credit | Mathematics |
| UC Approval | Yes Area C (Mathematics)* |
| Fees | None |
Calculus (H)
The Calculus course content includes limits and continuity, derivatives (slopes of functions at a point), min-max problems, related rates, rectilinear motion, integrals, Riemann sums, and the calculus of transcendental functions. Students in this course will get an excellent foundation for the high level Calculus courses in college. Students may move to Statistics after Calculus.
Special Note: A TI-84+ graphing calculator is required
| Course Number | 0804 |
| Grade Level | 11,12 |
| Pre-Requisite | Completion of Trigonometry/Pre-Calculus with a grade of C or higher. A placement examination may be required. |
| Application and/or Audition Date | None |
| Credits | 10 |
| VCHS Graduation Credit | Mathematics |
| UC Approval | Yes Area C (Mathematics) |
| Fees | None |
AP Calculus AB
The AP Calculus AB course consists of a full high school academic year of work that is comparable to the first semester of college calculus. This course makes extensive use of pre-requisite math skills, including algebra, geometry, trigonometry, and pre-calculus. Course content includes limits and continuity, derivatives, min-max problems, related rates, rectilinear motion, integrals, Riemann sums, differential equations, volumes of rotation, and the calculus of transcendental functions. This course includes a rigorous review for the AP Calculus AB examination.
Special Note: A TI-84+ graphing calculator is required.
| Course Number | 0835 |
| Grade Level | 11,12 |
| Pre-Requisite | Completion of Trigonometry/Pre-Calculus AB with a grade of B or higher or Trig/Pre-Calc BC Honors with a grade of C or higher. Placement examination may be required. Students must complete a summer assignment. |
| Application and/or Audition Date | None |
| Credits | 10 |
| VCHS Graduation Credit | Mathematics |
| UC Approval | Yes Area C (Mathematics) |
| Fees | AP Exam Fee |
AP Calculus BC
The AP Calculus BC course consists of a full year course in the calculus of functions of a single variable. Students who take this course should do so with the intention of placing out of a comparable college calculus course. The course makes extensive use of pre-requisite math skills, including algebra, geometry, trigonometry, and pre- calculus. The course covers all topics required in AP Calculus AB, with additional (Calculus C) topics, including integration by parts, integration by partial fractions, MacLaurin and Taylor series, and calculus applied to parametric and polar equations. This course begins by reviewing pre-calculus (Calculus A) topics at a quick pace, assuming coverage in a previous math course. The AP Calculus BC course is designed to cover two semesters of college calculus. This course includes a rigorous review for the AP Calculus BC examination.
Special Note: A TI-84+ graphing calculator is required.
| Course Number | 0840 |
| Grade Level | 10,11,12 |
| Pre-Requisite | Completion of Trigonometry/Pre-Calculus BC Honors with a grade of B or higher or AP Calculus AB with a grade of B or higher. A placement examination may be required. Students must complete a summer assignment. |
| Application and/or Audition Date | None |
| Credits | 10 |
| VCHS Graduation Credit | Mathematics |
| UC Approval | Yes Area C (Mathematics) |
| Fees | AP Exam Fee |
Multivariable Calculus (H)
Students begin by reviewing topics from AP Calculus BC, covering differential and integral calculus of a single variable. Students receive more in-depth instruction on advanced related rates, solids of revolution (including shell method), and advanced integration techniques. The principal topics of this course are the differential and integral calculus of several variables and their application to scalar and vector fields. Course content includes calculus of vector valued functions, partial derivatives, min-max problems of functions of several variables, and double and triple integrals. This course is a second year university level course.
Special Note: A TI-84+ graphing calculator is required.
| Course Number | 0838 |
| Grade Level | 11,12 |
| Pre-Requisite | Grade of B or higher in AP Calculus BC and passage of both the AB and BC subscores of the AP Calculus BC exam with scores of 4 or 5. Multivariable Calculus is a second-year university-level course. |
| Application and/or Audition Date | None |
| Credits | 10 |
| VCHS Graduation Credit | Mathematics |
| UC Approval | Yes Area C (Mathematics) |
| Fees | None |