## Mathematics

**INTEGRATED MATH I**

**Grades** 9 **1 Year – .5 Credit Each Sem.**

**Prerequisite: **Admission determined by Iowa Assessment Score/Teacher Recommendation

Integrated Math I course focuses on the Algebra 1 Common Core priority standards and includes the study of properties and operations of the real number system; evaluating rational algebraic expressions; solving and graphing first degree equations and inequalities; translating word problems into equations; operations with and factoring of polynomials; and solving simple quadratic equations. Differentiated instruction and modifies pace is used to meet the needs of each students learning ability.

**INTEGRATED MATH II**

**Grades** 10 **1 Year – .5 Credit Each Sem.**

**Prerequisite: **Admission determined by Iowa Assessment Score/Teacher Recommendation; Algebra 1 or Integrated Math 1

Integrated Math II course focuses on the Geometry Common core priority standards. Topics discussed include emphasizing an abstract, formal approach to the study of geometry, typically include topics such as properties of plane and solid figures; deductive methods of reasoning and use of logic; geometry as an axiomatic system including the study of postulates, theorems, and formal proofs; concepts of congruence, similarity, parallelism, perpendicularity, and proportion; and rules of angle measurement in triangles. Differentiated instruction and modified pace is used to meet the needs of each students learning ability.

**INTEGRATED MATH III**

**Grades** 11 **1 Year – .5 Credit Each Sem.**

**Prerequisite: **Admission determined by Iowa Assessment Score/Teacher Recommendation

Integrated Math 3 course focuses on the Algebra II common core priority standards. Algebra II course topics typically include field properties and theorems; set theory; operations with rational and irrational expressions; factoring of rational expressions; in-depth study of linear equations and inequalities; quadratic equations; solving systems of linear and quadratic equations; graphing of constant, linear, and quadratic equations; properties of higher degree equations; and operations with rational and irrational exponents. Differentiated instruction and modified pace is used to meet the needs of each students learning ability.

**ALGEBRA I**

**Grades** 9 **1 Year – .5 Credit Each Sem.**

**No Prerequisite**

Algebra I courses includes the study of properties and operations of the real number system; evaluating rational algebraic expressions; solving and graphing first degree equations and inequalities; translating word problems into equations; operations with and factoring of polynomials; and solving simple quadratic equations.

**GEOMETRY**

**Grades** 10-11-12 **1 Year – .5 Credit Each Sem.**

**Prerequisite:** Algebra I

Geometry course, emphasizing an abstract, formal approach to the study of geometry, typically include topics such as properties of plane and solid figures; deductive methods of reasoning and use of logic; geometry as an axiomatic system including the study of postulates, theorems, and formal proofs; concepts of congruence, similarity, parallelism, perpendicularity, and proportion; and rules of angle measurement in triangles.

**ADVANCED GEOMETRY 1 Year – .5 Credit Each Sem.**

**Grades: 9-10-11-12**

**Prerequisite: **Algebra 1 and proficiency on the Iowa Algebraic Aptitude Test; Teacher Recommendation

Advanced Geometry course focuses on the Geometry common Core standards including the plus standards. Topics discussed include but not limited to emphasizing an abstract, formal approach to the study of geometry, typically include topics such as properties of plane and solid figures; deductive methods of reasoning and use of logic; geometry as an axiomatic system including the study of postulates, theorems, and formal proofs; concepts of congruence, similarity, parallelism, perpendicularity, and proportion; and rules of angle measurement in triangles. This is a college preparatory class.

**ALGEBRA II**

**Grades** 10-11-12 **1 Year – .5 Credit Each Sem.**

**Prerequisite:** Geometry

Algebra II course topics typically include field properties and theorems; set theory; operations with rational and irrational expressions; factoring of rational expressions; in-depth study of linear equations and inequalities; quadratic equations; solving systems of linear and quadratic equations; graphing of constant, linear, and quadratic equations; properties of higher degree equations; and operations with rational and irrational exponents.

**ADVANCED ALGEBRA II**

**Grades** 10 **1 Year – .5 Credit Each Sem.**

**Prerequisite:** Algebra II; Teacher Recommendation

Advanced Algebra II course focuses on the Algebra II common Core standards including the plus standards. Topics discussed include but not limited to field properties and theorems; set theory; operations with rational and irrational expressions; factoring of rational expressions; in-depth study of linear equations and inequalities; quadratic equations; solving systems of linear and quadratic equations; graphing of constant, linear, and quadratic equations; properties of higher degree equations; and operations with rational and irrational exponents. This is a college preparatory course.

**PRE-TECHNICAL MATH **

**Grades **11-12** 1 Sem. – .5 Credit**

**Prerequisite:** Algebra 1

This course is intended as introduction to Technical Mathematics I. This course is designed to communicate the mathematics principles, concepts and manipulative skills that are needed in basic science and technology. The course will cover arithmetic, scientific notations, engineering notation, significant digits, algebra, solving literal equations, units of measure, solving problems, English and metric linear measurement units, geometry, trigonometry, and compound angles.

**TECHNICAL MATH I**

**Grades** 11-12 **1 Sem. – .5 Credit/3 Credits with Clinton Community College**

**Prerequisite:** Algebra 1

**Possible Prerequisite:** Pre-Technical Math if determined by assessment scores

This course is the first of two courses designed to communicate the mathematics principles, concepts and manipulative skills that are needed in basic science and technology. The course will cover arithmetic, scientific notations, engineering notation, significant digits, algebra, solving literal equations, units of measure, solving problems, English and metric linear measurement units, geometry, trigonometry, and compound angles.

**TECHNICAL MATH II**

**Grades** 11-12 **1 Sem. – .5 Credit/3 Credits with Clinton Community College**

** Prerequisite: **Technical Math I

This course is the second in a series of two designed to communicate mathematics principles, concepts and manipulative skills that are needed in basic science and technology. This course will also prepare the student for further study in mathematics. Topics of discussion include Factoring and Algebraic Fractions, Systems of Linear Equations, Quadratic Equations and Exponents and Radicals.

**COLLEGE ALGEBRA**

**Grades** 11-12 **1 Sem. – .5 Credit/4 Credits with Clinton Community College**

**Prerequisite:** COMPASS/ACT Placement Score

**Prerequisite:** Geometry and Algebra II

A college-level algebra course for students majoring in business, the social sciences, sciences or liberal arts; and math students as indicated by placement measures. The course is designed to assist the student to review previously developed concepts and techniques and to prepare for future study in mathematics. Topics include: solving equations and inequalities; graphing equations and inequalities; functions including polynomial, absolute value, greatest integer, exponential and logarithmic functions; systems or equations; matrices. Enrichment topics may include ellipses, hyperbolas and probability. A graphic calculator is required.

**PRE-CALCULUS**

**Grades** 11-12 **1 Sem. – .5 Credit/4 Credits with Clinton Community College**

**Prerequisite:** COMPASS/ACT Placement Score

**Prerequisite:** College Algebra

This course is designed to help all college preparatory students to be prepared for their first year of college mathematics. Topics include: logarithms; trigonometry; sequences and series; limits; vectors; math induction; derivatives and integrals. This course is essential for anyone who plans to go into any scientific or engineering profession. A graphing calculator is required.

**STATISTICS**

**Grades** 11-12 **1 Sem. – .5 Credit/3 Credits with Clinton Community College**

**Prerequisite:** COMPASS/ACT Placement Score

**Prerequisite:** Algebra II

This course introduces the basic principles of probability and statistics. The extensive use of statistical methods in the modern world makes it desirable to understand the fundamental ideas of decisions that are reached by these methods. Topics covered in the course include: descriptive statistics, fundamental probability theory,permutations; combinations; the Binomial Theorem; probability distributions; normal probability distributions; estimates of population parameters; testing hypotheses; inferences from two samples, correlation, and non-parametric statistics. A graphing calculator is required.

**CALCULUS I**

**Grades** 12 **1 Sem. – .5 Credit/4 Credits with Clinton Community College**

**Prerequisite:** COMPASS/ACT Placement Score

**Prerequisite:** College Algebra and Pre-calculus

First in a series of three courses. The purpose of the sequence is to provide the student with a foundation in Calculus and analytical geometry. Those students enrolled in the science, math, engineering, computer science and similar fields will gain proficiency. Topics include analytic geometry, differentiation and applications of the derivative, integration and its applications. A graphing calculator is required.

**CALCULUS II**

**Grades** 12 **1 Sem. – .5 Credit/4 Credits with Clinton Community College**

**Prerequisite:** COMPASS/ACT Placement Score

**Prerequisite:** Calculus I

A continuation of Calculus I, this is the second course in the series. Topics include differentiation and integration of trigonometric, logarithmic and exponential functions, methods of integration, improper integrals; polar coordinates and infinite series. A graphing calculator is required.