Math

Minimum Required to Graduate: 3 standard credits and 1 verified credit; Courses completed to satisfy this requirement shall include at least two different course selections from among algebra I, geometry, algebra functions, and data analysis, algebra II, or other mathematics courses approved by the board to satisfy this requirement. 

SOL’s:  Algebra I, Geometry, and Algebra II

Level 2 = Average, .0 wt

Level 3 = Honors, .5 wt

GRADES 9 - 12 AS LONG AS PREREQUISITE COURSES ARE MET UNLESS OTHERWISE SPECIFIED

Dual Enrollment and AP (Advanced Placement) = 1.0 wt

The secondary mathematics program provides a sequence of courses designed to meet the individual ability, interests, needs, and career plans of each student.  Important components of each mathematics course include the use of problem solving, communication, and higher order thinking skills throughout the delivery of instruction.  Consequently, students learn to apply mathematics in one context to other context and are able to see the relevance of mathematics in a variety of experiences.  Essential knowledge and skills are introduced in an organized and logical order and build on previously learned concepts.  Mathematics is a powerful universal language that requires communication and connecting the big ideas to other disciplines.  Since technology is a tool used to represent mathematical ideas, students are encouraged to purchase an approved TI-84 graphing calculator to use at home.  Students will also have access to the Desmos VA graphing calculator.  To learn more about the Desmos online calculator, visit desmos.com.  Hampton City Schools provides calculators for students to use in the classroom.  All high school mathematics courses require the use of a graphing calculator.

HCS requires that all students take math during each year of high school.

ALGEBRA I  (313010 / 313015)

Level 3

Prerequisite:  Pre-Algebra, Course II Honors or Course 3

• Reporting Categories:  Expressions/Operations; Equations/Inequalities; Functions; and Statistics

ALGEBRA I DOUBLE BLOCK  (313110 /313245)

Level 3 math credit, Level 2 elective credit

Prerequisite:  Course 3

•  Reporting Categories:  Expressions/Operations; Equations/Inequalities; Functions; and Statistics

•  Meets credit accommodation eligibility for students with IEP/504 (two math credits)

GEOMETRY  (314300 / 314305)

Level 3

Prerequisite:  Algebra I or Algebra I Double Block

• Reporting Categories:  Reasoning/Lines/Transformations; Triangles; Polygons/Circles; and Three-Dimensional Figures

GEOMETRY DOUBLE BLOCK  (314410 /  314510)

Level 3 math credit, Level 2 elective credit

Prerequisite:  Algebra I or Algebra I Double Block

• Students entering the 9th grade in 2010 and beyond, earn one math and one elective

• Meets credit accommodation eligibility for students with IEP/504 (two credits)

ALGEBRA II  (313500 / 313505)

Level 3

Prerequisites:  Algebra I & Geometry

• Reporting Categories:  Expressions/Operations; Equations/Inequalities;  Functions; and Statistic

•  Minimum math required for Governor’s School Program

• Minimum math required for the Advanced Studies Diploma

ALG II/TRIGONOMETRY (313700 / 313705)

GRADES 9

Level 3

Received A or B in Algebra I & Geometry

• Reporting Categories:  Expressions/Operations; Equations/Inequalities; Statistics; and Trigonometry

• Recommended preparation for Governor’s School

MATHEMATICS ELECTIVES

Electives may meet graduation requirements when taken with core courses

ALGEBRA, FUNCTIONS & DATA ANALYSIS  (313400 / 313405)

Level 3

Prerequisite: Algebra I 

• May be used for a 3rd math credit for a standard diploma

• May be used for a 4th credit for an advanced diploma with successful completion of Algebra II

• No End-of-Course SOL Test

• Investigate and Analyze Functions

• Model, Interpret, and Analyze Data from Life Situations

• Infusion of Technology

• Collect and Generate Equations for Graphing

MATHEMATICS CAPSTONE COURSE  (313600 / 313605)

GRADE 12 ONLY

Level 3 

Prerequisites:  AFDA and/or Algebra II; 1 verified math credits

This course is designed for high school seniors who:  have satisfactorily completed the required math courses based on the Standards of Learning including Algebra, Functions, and Data Analysis or Algebra II; have earned at least one verified credit in math; and are college intending but may not be fully college ready.  The course may also support students who meet the same academic requirements but plan to enter the work force (prepared for further work force training) directly after graduation from high school

•  May be used for a fourth credit for an advanced diploma with successful completion of Algebra II.

PRE-CALCULUS  (316200 / 316205)

Level 3

Received: Grade A or B in Algebra II/Trigonometry or Teacher recommendation

• May be used as 4th math credit for an Advanced Studies Diploma

• Preparation for AP Calculus AB or AP Calculus BC

• Polynomials, Logarithmic and Exponential Functions

• Trigonometric Functions and Analytic Geometry

• Graphing in Cartesian and Polar Systems

• Sequences, Series

• Parametric Equations, Conics, Limits

• Introduction to the Derivative

• Recommended preparation for Governor’s School

ELEMENTARY FUNCTIONS (316300 / 316305)

Level 3

Prerequisite:  Algebra II

• May be used as 4th math credit for Advanced Studies Diploma

• Preparation for AP Calculus AB or AP Statistics

• Polynomials, Logarithmic and Exponential Functions

• Graphing in Cartesian and Polar Systems

• Parametric Equations, Conics

• Sequence and Series

• Trigonometry

PROBABILITY AND STATISTICS (319020 / 319025)

Level 3

Prerequisite:  Algebra II

• May be used as 4th math credit for an Advanced Studies Diploma

• Develop statistical and probabilistic reasoning

• Use curve fitting to make predictions from data

• Apply Measures of Central Tendency, variability, and correlation

• Design a statistical experiment and use sampling techniques

ACT/SAT MATH PREP  (151500)

Level 2 (1/2 credit, one semester)

Prerequisites:  Algebra I, Geometry, and a college-bound course of study

• Semester Course:  half math/half verbal & writing

• Algebra I, Geometry, and Algebra II Content

• Uses ACT/SAT Software & ACT/SAT Practice Tests

• Option to take course as PASS/FAIL or letter grade

MATHEMATICS ADVANCED PLACEMENT COURSES

AP PRE-CALCULUS ( 316220 / 316225) 

Prerequisites: You should have completed introductory algebra and geometry courses. In particular, you should be able to demonstrate proficiency with linear functions, polynomial addition, and multiplication, factoring quadratic trinomials, using the quadratic formula, solving right triangle problems involving trigonometry, solving linear and quadratic equations and inequalities, algebraic manipulation of linear equations and expressions, and solving systems of equations in two and three variables. You should also be familiar with piecewise-defined functions, exponential functions, and rules for exponents, radicals (e.g., square roots, cube roots), and complex numbers. 

• Preparation for college-level mathematics and sciences courses

• Explore everyday situations using mathematical tools and lenses

• Develop an understanding of modeling and functions, and examine scenarios through multiple 

representations

Course framework outlines content and skills needed for careers in mathematics, physics, biology, health science, social science, and data science.

AP COMPUTER SCIENCE  (318500 / 318505)

Prerequisite:  Computer Math and/or teacher recommendation

• May be used as 4th math credit for an Advanced Studies Diploma

• Programming Methodology with concentration on problem solving and algorithm development

• Equivalent to a semester college course in Computer Science

• Study data structures and abstractions

• Design and implement computer-based solutions to application problems

• Use well known algorithms and data structures

• Code fluently using Java in a well-structured fashion

• Read and understand large programs

• Identify major hardware and software components of a computer system

• Recognize ethical and social implications of computer use

• Students have the option to take the AP exam

AP CALCULUS AB  (317700 / 317705)

Prerequisite:  Pre-Calculus or Elementary Functions

• May be used as 4th math credit for an Advanced Studies Diploma

• Follows the College Entrance Examination Board Syllabus

• College level course that requires fluency in algebraic and transcendental functions

• High concentration on limits, continuity, differentiation, integration, and applications

• Designed for students planning a career path requiring calculus in college

• Highly recommended as a prerequisite to AP Calculus BC

• Students have the option to take the AP exam

AP CALCULUS BC  (317710 / 317715)

Prerequisite:  Pre-Calculus and/or AP Calculus AB

• May be used as 4th math credit for an Advanced Studies Diploma

• Follows the College Entrance Examination Board Syllabus

• College level course that requires fluency in algebraic and transcendental functions

• High concentration on limits, continuity, differentiation, integration, and applications

• Includes sequences, series, intervals of convergence, first order differential equations

• Designed for students planning a career path that requires calculus in college

•  Students have the option to take the AP exam

AP STATISTICS (319200 / 319205)

Prerequisite: Algebra II

•  May be used as 4th math credit for an Advanced Studies Diploma

•  Follows the College Entrance Examination Board Syllabus

•  Presents concepts and techniques for exploring, collecting, and analyzing data, drawing conclusions, and making predictions

•  Explore experimental design, produce models using probability and simulation, and select appropriate models for statistical inferences

•  Applications will use a variety of disciplines including the sociology, allied health fields, business, economics, engineering, the humanities, physical sciences, journalism, communications, and liberal arts

•  Students have the option to take the AP exam

DUAL ENROLLMENT (DE) COURSES

ALL DE COURSES: GRADES 11 - 12

DUAL ENROLLMENT MATH 154: QUANTITATIVE REASONING (323050)

• Presents topics disproportional reasoning, modeling, financial literacy, and validity studies

• Focuses on the process of a taking real-world situation, identifying the mathematical foundation needed to address and solve the situation

• Students earn 3 VPCC credits and 1 high school credit

DUAL ENROLLMENT MATH 155: STATISTICAL REASONING (323055)

• Emphasis is placed on the development of statistical thinking, simulation, and the use of statistical software

• Students earn 3 VPCC credits and 1 high school credit

• STUDENTS WILL NOT BE AWARDED CREDIT FOR BOTH DE MATH  155 AND DE MATH 245

DUAL ENROLLMENT MATH 161 & 162 : PRE-CALCULUS I 7 II (323060 / 323065)

• Topics in power, polynomial, rational, exponential, and logarithmic functions, and systems of equations and inequalities

• Students earn 3 VPCC credits and 1 high school credit

• STUDENTS WILL NOT BE AWARDED CREDIT FOR BOTH DE MATH 161/162 AND DE MATH 167

DUAL ENROLLMENT MATH 245: STATISTICS I (323070 / 323075)

• Presents an overview of statistics

• Students will receive 3 VPCC credits and 1 high school credit

• STUDENTS WILL NOT BE AWARDED CREDIT FOR BOTH DE MATH 245 AND DE MATH 155

DUAL ENROLLMENT MATH 263: CALCULUS I

• Presents concepts of limits, derivatives, differentiation of various types of functions and use of differentiation rules, application of differentiation, antiderivatives, integrals, and applications of integration

• Students earn 3 VPCC credits and 1 high school credit