 Collins Hill HS
 Math Information

Math Department
Math Graduation Requirements

Four Carnegie Units of Math are required to be earned toward graduation. Please refer to the Collins Hill Cluster Math Sequence document to see the various courses your student has to choose from based upon their current math placement.
Math Clubs and Activities

Academic Team
Mu Alpha Theta
Math Department Chairs

Melissa Medina
Rori Smith
Math Courses

Algebra: Concepts and Connections
Algebra: Concepts & Connections *Graduation Requirement; State EOC assessment
The identified prerequisite for this course is 8th Grade Mathematics.
This is the first in a sequence of required high school mathematics courses. It includes modeling linear functions; analyzing systems of linear inequalities; investigating rational and irrational numbers; modeling and analyzing quadratic and exponential expressions, equations, and functions; investigating univariate and bivariate data; and algebraic connections to geometric concepts.

Geometry: Concepts and Connections
Geometry: Concepts & Connections *Graduation Requirement
The identified prerequisite for this course is Algebra: Concepts & Connections.
This is the second in a sequence of required high school mathematics courses. It includes operations with polynomial expressions using geometric shapes; geometric constructions and proofs; congruence; similarity; right triangle trigonometry; properties of circles; unit circle; applications of volume; and applications of compound probability.

Accelerated Geometry: Concepts & Connections
Accelerated Geometry: Concepts & Connections *Graduation Requirement
The identified prerequisite for this course is Enhanced Grade 8 + Algebra: Concepts & Connections or Algebra: Concepts & Connections.
This is the second in a sequence of required high school mathematics courses. This course incorporates all content in Geometry: Concepts & Connections (satisfying graduation requirements) along with select AKS from Enhanced Advanced Algebra + Precalculus: Concepts & Connections. It includes operations with polynomial expressions using geometric shapes; geometric constructions and proofs; congruence; similarity; right triangle trigonometry; applications of trigonometry to general triangles; properties of circles; unit circle; applications of the six trigonometric ratios; applications of volume; compound probability; and descriptive and inferential statistics.

Advanced Algebra: Concepts and Connections
Advanced Algebra: Concepts & Connections *Graduation Requirement
The identified prerequisite for this course is Geometry: Concepts & Connections or Accelerated Geometry: Concepts & Connections.
This is the third in a sequence of required high school mathematics courses. It includes descriptive and inferential statistics, exponential and logarithmic functions; radical and rational functions; quadratic and polynomial functions; exploring linear algebra and matrices; and trigonometry and the unit circle.

Enhanced Advanced Algebra and AP PreCalculus: Concepts & Connections
Enhanced Advanced Algebra + AP Precalculus: Concepts & Connections *Graduation Requirement
The identified prerequisite for this course is Accelerated Geometry: Concepts & Connections or Geometry: Concepts & Connections.
This is the third in a sequence of required high school mathematics courses. The course incorporates 2 years of content from the standard math sequence: Advanced Algebra: Concepts & Connections and AP Precalculus. It includes descriptive and inferential statistics, radical, exponential, and logarithmic functions; quadratic and polynomial functions; exploring linear algebra and matrices; rational and piecewisedefined functions; trigonometry and the unit circle; conic sections and polar equations; vector quantities and parametric equations; and sequences and series. Students taking this course may be eligible for the Advanced Placement Precalculus exam.

PreCalculus
Precalculus
The identified prerequisite for this course is Advanced Algebra: Concepts & Connections.
This course is a high school mathematics core credit. It includes rational and piecewisedefined functions; trigonometric expressions and functions; trigonometric identities and equations; conic sections and polar equations; vector quantities and parametric equations; and sequences and series.

AP Precalculus
AP Precalculus
The identified prerequisite for this course is Advanced Algebra: Concepts & Connections.
This course follows the AP syllabus developed by the College Board for the Advanced Placement Precalculus Exam. It includes an indepth examination of polynomial and rational functions, exponential and logarithmic functions, trigonometry and polar functions, and functions involving parameters, vectors, and matrices.

Advanced Mathematical DecisionMaking
Advanced Mathematical Decision Making
The identified prerequisite for this course is Advanced Algebra: Concepts & Connections.
This course is a high school mathematics core credit. It includes mathematical reasoning; probability; statistical studies; mathematical models; vectors and matrices; and network models.

College Readiness Mathematics
College Readiness Mathematics
The identified prerequisite for this course is Advanced Algebra: Concepts & Connections.
This course is a high school mathematics core credit designed to be a senior capstone course. It is intended for seniors who will enroll in a nonSTEM major postsecondary study. It includes exploring the real number system; interpreting data and calculating probabilities of compound events; applying measurement, surface area, volume, and right angle trigonometry; building and interpreting functions; and analyzing expressions, equations, and inequalities.

CP Calculus
Calculus
The identified prerequisite for this course is Precalculus.
This course is a high school mathematics core credit. It includes exploring limits and continuity, establishing and using the derivative; applications of derivatives; the Fundamental Theorem of Calculus; and applications of integrals.

AP Statistics
AP Statistics
The identified prerequisite for this course is Enhanced Advanced Algebra and Precalculus: Concepts & Connections or Precalculus.
This course follows the AP syllabus developed by the College Board for the Advanced Placement Statistics Exam. It includes an indepth experience in statistical concepts and methods; data collection and exploration; experimental and theoretical probability; probability distributions; and descriptive and inferential statistics.

AP Calculus AB
AP Calculus AB
The identified prerequisite for this course is Enhanced Advanced Algebra and Precalculus: Concepts & Connections or Precalculus.
This course follows the AP syllabus developed by the College Board for the Advanced Placement Calculus AB Exam. It includes an indepth examination of limits; derivatives and integrals of algebraic and transcendental functions; continuity; applications of derivatives to related rates; maxima and minima; curve sketching; integration formulas; applications of the definite integral; and methods of integration.

AP Calculus BC
AP Calculus BC
The identified prerequisite for this course is Enhanced Advanced Algebra and Precalculus: Concepts & Connections or Precalculus.
This course follows the AP syllabus developed by the College Board for the Advanced Placement Calculus BC Exam. It includes an indepth examination of limits, derivatives, and integrals of algebraic and transcendental functions; continuity; applications of derivatives to related rates; maxima and minima; curve sketching; integration formulas; applications of the definite integral; methods of integration, graphing, and integrating in polar coordinates; infinite sequences and series; power series; vectors; and differential equations.

Advanced Calculus II
Advanced Calculus II
The identified prerequisite for this course is AP Calculus AB.
This course is a high school mathematics core credit. It includes integral evaluation; limits of sequences; application of polar and parametric equations; L’Hospital’s Rule; application of Taylor’s Theorem; MacLaurin series; differentiation and integration of power series; three dimensional coordinate geometry; vectors; and vector calculus.