# 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 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 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 Advanced Algebra and Trigonometry.

## 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.

## College Algebra 102

A study of algebra including absolute values, equations and inequalities, complex numbers, polynomial, rational, exponential and logarithmic functions, and systems of equations. This course should help students improve their abilities to observe carefully, think critically and communicate clearly. More specifically, upon completion of this course, the students should be able to solve a linear equation, solve a quadratic equation, find the zeros of a polynomial function, solve an exponential equation.

## College Precalculus 116

Preparation for calculus, including an intensive study of algebraic, exponential, logarithmic, and trigonometric functions and their graphs. Applications include simple maximum/minimum problems, exponential growth, decay, and surveying problems.

## College Calculus 220

College MA-220 is the study of limits, continuity, differential calculus, and its applications during the fall semester.

## College Calculus 221

College MA-221 is the study of integral calculus with applications, multivariable calculus, trigonometric functions (both integration and derivatives) and volumes of solids (as well as surface areas of solids should time permit) during the spring semester.

## College Statistics 200

This class will include basic ideas in statistics: frequency distributions and their graphic representation, measures of central tendency and variation, probability theory, the binomial distribution, the normal distribution, correlation, and sampling. This class will help students improve their abilities to observe carefully, think critically, and communicate clearly. More specifically, upon completion of this course, students should be able to use a graphing calculator to solve problems from descriptive and inferential statistics; construct and draw a variety of graph types to display and analyze data; compute measures of central tendency including mean, median, mode, weighted average, and trimmed mean; compute measures of variation including range and standard deviation for samples and populations; determine the correlation of compared date; compute the probability of simple and compound events.