 # Provo City School District # Mathematics

## SECONDARY MATHEMATICS I (M)

• Prerequisite: Math 7/8 or Math 8

This is the first of three courses under the Utah Core Standards. These topics include solving equations, inequalities, systems of equations and inequalities, functions (linear and exponential), descriptive statistics in both one and two variables (categorical and numerical), transformations in the plane, congruence, constructions and coordinate geometry.

## SECONDARY MATHEMATICS II (M)

• Prerequisite: Secondary Mathematics I

This is the second of three courses under the Utah Core Standards. This course extends number sense to the complex number system. The course covers topics in absolute value and quadratic equations and functions as well as linear and exponential equations and functions covered in SM1. An introduction to trigonometry begins in this course as well. Geometry concepts include those involving circles, quadrilaterals and triangle, especially theorems of similarity.

## SECONDARY MATHEMATICS III (M, ME)

• Prerequisite: Secondary Mathematics II

This is the third of three courses under the Utah Core Standards. Students will apply methods from probability and statistics to draw inferences and conclusions from data. Students expand their repertoire of functions to include polynomial, rational, and radical functions. They expand their study of right triangle trigonometry to include general triangles. And, finally, students bring together all of their experience with functions and geometry to create models and solve contextual problems.

## SECONDARY MATHEMATICS I HONORS / II HONORS – ACCELERATED (M, ME)

• Prerequisite:

This course is an accelerated course that fulfills the requirements for the first two courses under the Utah Core Standards. The topics include solving equations, inequalities, systems of equations and inequalities, functions (linear and exponential), descriptive statistics in both one and two variables (categorical and numerical), transformations in the plane, congruence, constructions and coordinate geometry. This course extends number sense to the complex number system. The course covers topics in absolute value and quadratic equations and functions as well as linear and exponential equations and functions covered in SM I. An introduction to trigonometry begins in this course as well. Geometry concepts include those involving circles, quadrilaterals and triangle, especially theorems of similarity. The course will meet every day and will fill two class periods in a student’s schedule. SM II is covered in the second semester.

## SECONDARY MATHEMATICS III HONORS AND PRECALCULUS HONORS – ACCELERATED (M, ME)

• Full Year, Grades 11 – 12
• Prerequisite:

This course is an accelerated course that fulfills the requirements for the third course under the Utah CoreStandards and a third year algebra course that builds on SM III. Students will apply methods from probability and statistics to draw inferences and conclusions from data. Students expand their repertoireof functions to include polynomial, rational, and radical functions. They expand their study of right triangle trigonometry to include general triangles. The second half of the year covers advanced topics such as polynomial, rational, exponential and logarithmic functions and their graphs as well as trigonometry; systems of equations, matrices, conic sections and discrete mathematics will be studied in depth. Trigonometry is extended to identities, solving equations, law of sine and cosine, and trigonometric form of complex numbers. Students bring together all of their experience with functions and geometry to create models and solve contextual problems. This course will prepare students for Calculus.

## PRECALCULUS (M, ME)

• Full Year, Grades 10 – 12
• Prerequisite: Secondary Mathematics III

This course is a third year algebra course and builds on SM III. Advanced algebra topics such as polynomial, rational, exponential and logarithmic functions and their graphs as well as trigonometry, systems ofequations, matrices, conic sections and discrete mathematics will be studied in depth. This course will help prepare students for Calculus.

## MATH ANALYSIS I (ME)

• Prerequisite: Secondary Mathematics III or higher

This course is a study of problem solving, analysis, and interpretation of Algebra and Geometry concepts within real world applications so that students can gain a deeper understanding and appreciation of mathematics. Topics of study will include patterning and number theory within bar codes, zip codes, and banking; similarity and fractals; exponential growth and decay in business, population, and finance; and statistics within politics, marketing, and sports.

## CONCURRENT ENROLLMENT QUANTITATIVE REASONING MATH 1030 (M, ME)

• Full Year, Grades 11 – 12
• Prerequisite: GPA of 2.0 in SM I, SM II, and SM III or ACT mathematics sub score of 23 or better or Accuplacer score of > 60 or C or better in Math 1010, and admission to UVU

Emphasis is placed on authentic contexts, which will introduce concepts of numeracy, proportional reasoning, dimensional analysis, rates of growth, personal finance, consumer statistics, practical probabilities and mathematics for citizenship. This course is intended to prepare students as consumers and as members of society to think critically about quantitative statements and to recognize when these statements are misleading or false. Upon completion of this course, students should be able to communicate, interpret and analyze quantitative information found in the media and everyday life. UVUConcurrent Enrollment is required. Students who take this course as Concurrent Enrollment receive 1.0math credits. This course meets UVU General Education Math requirements.

## AP STATISTICS (M, ME)

Full Year, Grades 10 – 12

Prerequisite: B or higher in SM III, Precalculus recommended but not required This course will cover descriptive statistics, measures of central tendency and variation-inferential statistics, probability, summarizing data, mathematical expectation and decision-making, and probability distributions. Graphing calculator with statistical capabilities is required.

## CONCURRENT ENROLLMENT COLLEGE ALGEBRA 1050/TRIGONOMETRY 1060 (M, ME)

• Full Year, Grades 10 – 12
• Prerequisite: A- or higher in SM III

This is a fast paced and rigorous course that covers College Algebra as well as Trigonometry. UVU concurrent enrollment is available upon admission and successful qualification (UVU Accuplacer with recommendation for College Algebra or ACT score of 23). This course will help prepare students for Calculus. Concurrent enrollment is required for the class to count towards Regents’ Scholarship, and it is counted as two credits in the Regents’ system.

## AP CALCULUS AB (M, ME)

• Full Year, Grades 11 – 12
• Prerequisite: College Algebra/Trigonometry or Precalculus with a B or higher

This course covers functions, graphs, limits, derivatives, and integrals. This course is equivalent to at least the first semester of college calculus and is designed to prepare the student to take the AP Calculus AB exam. A graphing calculator is required on the AP exam.

## AP CALCULUS BC (M, ME)

• Full Year, Grades 11 – 12
• Prerequisite: College Algebra/Trigonometry or Precalculus with a B or higher

This course covers all of the topics in AP Calculus AB along with the additional topics of polynomial approximations and series. This course is equivalent to two semesters of college calculus and is designed to prepare the student to take the AP Calculus BC exam. A graphing calculator is required on the AP exam.

## CALCULUS LAB AB AND BC (EL)

• Full Year, Grades 11 – 12
• Prerequisite: Must be taken concurrently with AP Calculus AB or BC

The Calculus Lab is an optional class for students to receive additional help on calculus homework. Students have time to work together and with the teacher to get a better in depth understanding of calculus concepts.

## LINEAR ALGEBRA (M, ME)

• Full Year, Grades 11 – 12
• Prerequisite: Successful completion of either AP Calculus AB or BC

This course will prepare students for a college course in multidimensional calculus. Linear Algebra is recommended for students who are planning to study science, engineering, math, or computer science in college. The class covers matrices, determinants, linear transformations, vectors, and vector spaces.

*The Utah State School Board has passed a new state rule (R277-700-9) that requires any senior student who has self-identified as college bound and has not met specific math criteria to take a full year of math in their senior year.

Those exempt from taking a full year of math during their senior year must have completed one of the following:

• Earned a score of 26 or above in the math section of the ACT
• Passed an AP Statistics or AP Calculus exam with a 3 or higher
• Completed a Concurrent Enrollment math course with a C or higher
• Passed the Precalculus CLEP test with a score of 50 or higher