### Campus Life

Mathematics # INTEGRATED MATH 1

This course is the first course in a 3 course integrated math series. We transitioned to the integrated math series with our 2014-2015 freshmen class, and have added Integrated Math 2 and 3 as the class of 2018 has moved through CCHS.  The Integrated Math series is progressive in nature, and aligns with many of the common core standards for mathematics.  Integrated Math differs from the previously offered traditional math courses (i.e. Algebra 1, Geometry, etc.) in that it integrates concepts that connect across the traditionally required math courses.  The Integrated Math series still covers all content covered in Algebra 1, Geometry, and Algebra 2, but rather than segregating content, Integrated Math aims to align concepts from each of those 3 math courses that connect and overlap.  When learners complete integrated math 3 they will be prepared to enter into Pre-Calculus.  All freshmen learners will be placed in either Integrated Math 1 or Integrated Math 2, depending on their math levels, as determined by a diagnostic assessment.  Those who test into Integrated Math 2 their freshmen year will be prepared to take Calculus or AP Calculus their senior year.

# INTEGRATED MATH 2

Integrated Math 2 is our second year of high school mathematics. Frequently utilizing the skills developed in Integrated Math 1, students thoroughly explore algebraic and geometric concepts including the reasoning and process of the different methods of proving mathematic statements, parallel and perpendicular lines, triangle congruence and relationships, quadrilaterals, similarity, types of transformations, trigonometry and the uniqueness of right triangles, and working with quadratics including solving quadratic equations through various factoring methods, graphing, completing the square, and using the quadratic formula. Through investigations, students make conjectures and generalizations, subsequently proving or disproving them. Students move beyond just making sense of mathematics and begin developing skills in constructing and communicating mathematic arguments. They learn to appreciate the importance of clarity and brevity in the process of proof. Concepts are applied to real world problems giving insight to the practical application of the course.

# INTEGRATED MATH 3

Integrated Math 3 is our third year mathematics course. Building on concepts from Integrated Math 1 and Integrated Math 2, students continue to increase fluency in mathematics, demonstrating the ability to critically analyze and apply mathematic concepts of more complexity than previous classes. Students effectively communicate their problem solving processes, showing command of the language of algebra and the ability to reason logically. Topics covered include equations and inequalities, linear relations and functions, systems of equations and inequalities, matrices, Quadratic Functions and Inequalities, Polynomial Functions, Radical Equations and Inequalities, Rational Expressions and Equations, Exponential and Logarithmic Relations, Conic Sections, Sequences and Series, and Probability and Statistics. Algebraic skills and problem solving strategies are applied to real-world scenarios, illustrating the relevance and problem solving potential of algebra. Students learn to approach problems in a variety of ways, judge whether or not a solution is reasonable, and when appropriate, validate their solutions. Upon completion of Integrated Math 3, students will be prepared for higher-level mathematics courses including Pre-Calculus, Trigonometry, Statistics, and eventually Calculus.

# COLLEGE PREPARATORY MATHEMATICS

This course is designed for those learners who complete Algebra 2 or Integrated Math 3 and are not ready or wanting to take Pre-Calculus.  The purpose of this course is to act as a review of math concepts, as well as focus on elements of mathematics that will appear on the college entrance exam.  The goal of this course is to familiarize and prepare learners to pass the college entrance exam so that no remediation is necessary upon beginning their collegiate career.

# PRE-CALCULUS

Pre-calculus is an advanced level mathematics course that takes a rigorous approach to algebraic concepts and trigonometry in preparing learners for Calculus. Topics covered include functions from a calculus perspective, power, polynomial, and rational functions, exponential and logarithmic functions, trigonometric functions, trigonometric identities and equations, systems of equations and matrices, conic sections and parametric equations, vectors, polar coordinates and complex numbers, sequence and series. Learners continue to develop skills in mathematic reasoning and are able to clearly communicate the problem solving process, justifying each step as they progress. Learners will be able to analyze real world scenarios, model the scenario mathematically, and come to a logical solution. Learners will gain fluency in using technology to find and approximate solutions. After completion of this course, learners will have fostered a greater appreciation for how mathematics helps us understand the world around us.

# CALCULUS

Calculus is the most advanced math class offered at our school. By now, learners will have developed an understanding of the logic and reason of math. Learners recognize the practical application of mathematic and that math can be used to model and help us make sense of the world we live in. Learners are practiced in carrying out mathematical proofs and appreciate clarity and brevity in justifying mathematic process. Learners should be able to approach problems numerically, analytically, and graphically with confidence and efficiency. The purpose of Calculus is to push learners to further develop and apply these skills in higher mathematic concepts. Topics include limits, differentiation, integration, transcendental functions, differential equations, improper integrals, and infinite series.