# Mathematics

## Algebra I

Students will demonstrate mastery of the Tallulah Falls School standards developed from the Georgia and national standards as prescribed for ninth grade Algebra I students. Content will be covered with a combination of lecture, activities, tasks and the MathXL online program and consist of topics from real numbers through quadratic equations including functions, graphing and various other content. A typical class day will be as follows: a. students will arrive at class and begin by recording and completing an S.A.T.-style Problem of the Day (POD) or warm-up material from recent class. b. students will receive approximately 20-30 minutes of lecture task work or activities c. students will begin work on their homework and individual study plan. Certain days will be set aside for testing and culminating task completion. Each student will also complete a project that requires the students to work at the higher orders of thinking as given by Bloom’s Taxonomy.

## Algebra I Honors

Students will demonstrate mastery of the Tallulah Falls School standards developed from the Georgia and national standards as prescribed for ninth grade Algebra I students. Content will be covered with a combination of lecture, activities, tasks and the MathXL online program and consist of topics from real numbers through quadratic equations including functions, graphing and various other content. A typical class day will be as follows: a. students will arrive at class and begin by recording and completing an S.A.T.-style Problem of the Day (POD) or warm-up material from recent class. b. students will receive approximately 20-30 minutes of lecture task work or activities c. students will begin work on their homework and individual study plan. Certain days will be set aside for testing and culminating task completion. Each student will also complete a project that requires the students to work at the higher orders of thinking as given by Bloom’s Taxonomy. Honors classes will cover the same content as regular Algebra 1 classes with added depth and challenge.

## Algebra II

Algebra II is the second course in basic algebra that includes broad standards in more depth than Algebra 1 as well as introducing new concepts leading to more advanced mathematics including trigonometry, calculus, and statistics.

Topics of Study: Unit 1: Expressions, Equations, and Inequalities; Unit 2: Graphs, Relations, and Functions; Unit 3: Systems of Equations; Unit 4: Quadratic Equations and Functions; Unit 5: Polynomial Expressions and Functions; Unit 6: Radical Expressions, Equations, and Functions; Unit 7: Exponential and Logarithmic Functions; Unit 8: Rational Expressions and Equations.

## Algebra II Honors

Algebra II is the second course in basic algebra that includes broad standards in more depth than Algebra 1 as well as introducing new concepts leading to more advanced mathematics including trigonometry, calculus, and statistics. Honors classes will cover the same content as the regular Algebra II classes with greater depth and challenge.

Topics of Study: Unit 1: Expressions, Equations, and Inequalities; Unit 2: Graphs, Relations, and Functions; Unit 3: Systems of Equations Unit 4: Quadratic Equations and Functions; Unit 5: Polynomial Expressions and Functions; Unit 6: Radical Expressions, Equations, and Functions; Unit 7: Exponential and Logarithmic Functions; Unit 8: Rational Expressions and Equations.

## Geometry

The Geometry course is designed to be the third course in high school mathematics following Algebra I and Algebra II. Course content is listed below.

Topics of Study:

1st Nine Weeks

Ch. 1: Tools of Geometry

Ch. 2: Reasoning and Proofs

Ch. 3: Coordinate Geometry with Parallel and Perpendicular Lines

2nd Nine Weeks

Ch. 4: Congruent Triangles

Ch. 5: Relationships within Triangles

Ch. 6: Polygons and Quadrilaterals

3rd Nine Weeks

Ch. 7: Similarity

Ch. 8: Right Triangles and Trigonometry

Ch. 9: Transformations

4th Nine Weeks

Ch. 10: Area

Ch. 11: Surface Area and Volume

Ch. 12: Circles

Ch. 13: Probability and Statistics

## Geometry Honors

The Honors Geometry course is designed to be the third course following Algebra I and Algebra II. Course content begins with learning the basic concepts of Euclidean Geometry and continues through triangles, circles, and other polygons. The course completes the year with proofs, similarity, transformations, area, volume, and in-depth trigonometry. Students will be able to work with various tools as well as a variety of shapes. Students will leave this course prepared for the first-year course in College Algebra.

## Advanced Algebra and Trigonometry

The Advanced Algebra and Trigonometry course is designed to deepen the students understanding of high school mathematics. Course content may vary depending on the competency of the students enrolled, but content basically will include a diagnosis/strengthening of student competency in Algebra I and Algebra II along with various principles of Geometry; polynomial, rational, conic, exponential, and logarithmic functions, and their graphs; and, depending on available time, matrices, determinants, sequences, series, probability, and trigonometry.

## Discrete Mathematics

Discrete Mathematics is offered to those students who have completed all other mathematics courses offered by our school. It is a one-semester course. The topics of discrete mathematics include logic, recursion, mathematical induction, combinatorics, graphs, circuits, vectors and matrices.