## Mathematics Curriculum

**Course Offerings**

Course Name:

**Algebra I**Grade: 9th

Credit: 1

Duration: Full Year

Prerequisite: N/A

Description: This course is the foundational math course for all incoming freshmen. The skills in the course are aligned with the Common Core State Standards (CCSS). There is a focus on problem solving skills enabling students to apply mathematical skills and make meaningful connections to life’s experiences. Topics include operations and variables, solving linear equations, working with linear functions algebraically and graphically, solving linear systems, proportions, percentages, probability, exponential functions, solving linear inequalities, polynomials and factoring as well as radicals, quadratic equations and functions.

Course Name:

**Geometry**Grade: 10th

Credit: 1

Duration: Full Year

Prerequisite: Algebra I

Description: This course includes an in-depth analysis of plane, solid, and coordinate geometry as they relate to both abstract mathematical concepts as well as real-world problem solving. Students will develop critical thinking skills by using inductive reasoning to make conjectures about real world situations and use deductive reasoning to confirm their conjectures. Students will study basic concepts, geometric relationships and 10 properties of geometric figures, including formulas. Students will study points, lines, and angles in a plane, parallel lines and transversals. A major emphasis of this course is to allow students to investigate geometric situations. Properties of triangles, quadrilaterals, polygons, and circles should receive particular attention. Congruence and similarity of triangles will be established using appropriate theorems. Students will determine characteristics of right triangles and apply the Pythagorean Theorem to solve problems. Transformations including rotations, reflections, translations, and glide reflections and coordinate geometry will be used to establish and verify geometric relationships. Students will learn how to derive formulas and solve problems involving the perimeter, circumference, areas, volume and surface area of two and three-dimensional figures. Students will use the traditional tools of compass and straightedge as well as dynamic geometry software that model these tools more efficiently and accurately, to assist in these investigations.

Course Name:

**Geometry Honors**Grade: 10th

Credit: 1

Duration: Full Year

Prerequisite: Algebra I Honors

Description: This course includes an in-depth analysis of plane, solid, and coordinate geometry as they relate to both abstract mathematical concepts as well as real-world problem solving. Students will develop critical thinking skills by using inductive reasoning to make conjectures about real world situations and use deductive reasoning to confirm their conjectures. Students will study basic concepts, geometric relationships and properties of geometric figures, including formulas. Students will study points, lines, and angles in a plane, parallel lines and transversals. A major emphasis of this course is to allow students to investigate geometric situations. Properties of triangles, quadrilaterals, polygons, and circles should receive particular attention. Congruence and similarity of triangles will be established using appropriate theorems. Students will determine characteristics of right triangles and apply the Pythagorean Theorem to solve problems. Transformations including rotations, reflections, translations, and glide reflections and coordinate geometry will be used to establish and verify geometric relationships. Students will learn how to derive formulas and solve problems involving the perimeter, circumference, areas, volume and surface area of two and three-dimensional figures. Students will use the traditional tools of compass and straightedge as well as dynamic geometry software that model these tools more efficiently and accurately, to assist in these investigations.

Course Name:

**Algebra II**Grade: 11th

Credit: 1

Duration: Full Year

Prerequisite: Algebra I

Description: The following topics will be covered during this course: Linear Functions and Systems of Equations, Graphing Quadratic Functions, Solving Quadratic Equations, Polynomial Functions, Radical Equations and Functions, Exponential and Logarithmic Functions, Linear Inequalities and Linear Programming.

Course Name:

**Algebra II-Honors**Grade: 11th

Credit: 1

Duration: Full Year

Prerequisite: Algebra I

Description: This course will focus on the advanced algebraic number systems to a complex field, elementary functions using multiple representations (graphical, numerical, algebraic and verbal) including linear, quadratic, polynomial, rational, exponential, and logarithmic functions, linear systems and matrices, periodic functions, and the study of probability, sequences and series, and trigonometric identities. Honors classes will have an introduction to statistics. Problem solving will be emphasized throughout the course. Emphasis will be placed on practical applications and modeling. Appropriate technology, manipulatives, and calculators will be used regularly for instruction and assessment.

Course Name:

**Probability &****Statistics**Grade: 12th

Credit: 1

Duration: Full Year

Prerequisite: Algebra I & II, Geometry

Description: The following topics will be covered during this course: Data Analysis, Summarizing Data and Graphing, Central Tendencies, Probability, Normal Distribution, Standard Deviation, Discrete and Normal Probability Distributions, Surveys

Course Name:

**Pre-Calculus**Grade: 12th

Credit: 1

Duration: Full Year

Prerequisite: Algebra I & II, Geometry

Description: Pre-Calculus will cover the following topics: Review of Algebraic Expressions, Polynomials, Exponents, Rational Expressions, Equations, Inequalities, Functions (graphs, transformations, combinations, inverses, composite and applications), Complex Numbers, Polynomial Functions, Rational Functions, Variation, and Exponential and Logarithmic Functions.