### Math Page

Lee Lindsey teaches the courses Advanced math/College Algebra, Pre-algebra, Algebra II/Trig, Algebra I. Adam North teaches the classes Geometry and Discrete Math.

### Geometry:

**Course Title: Geometry**

**Course Length: Full Year Course (1 credit)**

**Grade Level: 9, 10, 11, 12**

**Prerequisites: Algebra I or Instructor approval**

Geometry follows algebra and is open to any student who has previously taken Algebra I. The overall objective of this course is to develop mathematical and spatial reasoning. The student will study the properties and applications of geometric figures in two dimensions and, to a lesser extent, in three dimensions. The skills of inductive and deductive reasoning are developed, and special topics related to geometric figures such as equations of parallel and perpendicular lines, the Pythagorean Theorem, basic trigonometry, area, and volume are explored and applied to real-world situations outside the classroom.

**Course Outline:**

Points, Lines, Planes and Angles

Inductive and Deductive Reasoning

Parallel and Perpendicular Lines and Planes

Congruent Triangles

Properties of Triangles

Inequalities of Triangles

Quadrilaterals

Transformations

Similar Polygons

Right Triangles and Trigonometry

Circles

Areas of Polygons and Circles

Surface Area and Volume

### Algebra I:

**Course Title: Algebra I**

**Course Length: Full Year Course (1 credit)**

**Grade Level: 9,10,11**

The goal of this course is to give the student the basic concepts of algebra.

#### Course Outline:

Connections to Algebra

Variables

Exponent and powers

Order of operations

Equations and inequalities

Problem solving plan

Tables and graphs

Intro to functions

Properties of real numbers

Real number line

Addition of real numbers

Subtraction of real numbers

Matrices

Multiplying real numbers

Division or real number

Probability and odds

Solving Linear equations

Addition, subtraction, multiplication and division to solve problems

Formulas and functions

Ratios, rates and percents

Graphing linear equations and functions

Scatter plots and best fit lines

Plotting, intercepts, slope, to graph

Direct variation

Functions and relations

Writing linear equations

Slope intercept form

Point slope form

Standard form

Solving and graphing linear inequalities

Multi-step and compound inequalities

Absolute value equations and inequalities

Two variable inequalities

Stem and leaf plots and box and whisker plots

Systems of equalities and inequalities

Graphing, substitution, combination

Exponents and exponential functions

Properties of exponents

Scientific notation

Growth and decay functions

Quadratic equations and functions

Solving by square root method, graphing and quadratic formula

Discriminant

Quadratic inequalities

Polynomials and factoring

Adding, subtracting, and multiplying Polynomials

Factoring

Rational equations and functions

Radicals and connections to geometry

### Algebra 2/Trigonometry:

**Course Title: Algebra II /Trigonometry**

**Course Length: Full Year Course (1 credit)**

**Grade Level: 10, 11,12**

**Prerequisite: Algebra I and Geometry**

Algebra II is a rigorous, advanced, and expanded treatment of algebraic skills introduced in Algebra I. The manipulative skills are refined in areas such as solving fractional equations, solving systems of equations simultaneously, graphing linear and quadratic functions, and working with real exponents. The student couples the logical reasoning developed in geometry together with sharpening algebraic skill to look beyond how a mathematical method works, and investigating to answer the number system. The final quarter of Algebra II is the study of trigonometry. The student develops skills in using the trigonometric functions and learns what situation trigonometry is applicable. Though Algebra II is primarily concerned with the real number system, some time is given to introducing the students to complex numbers.

Because Algebra II employs reasoning in studying the real number system, geometry is required. This course is an excellent preparation to advanced senior mathematics—in which perfection of algebraic skills is a must and is highly recommended for the college bound student.

**Course Outline:**

Basic concepts of Algebra

Inequalities and Proof

Linear Equations and Functions

Products and Factors of Polynomials

Rational Expressions

Irrational and Complex Numbers

Quadratic Equations and functions

Variations and Polynomial Equations

Analytic geometry

Exponential and Logarithmic functions

Sequences and Series

Triangle Trigonometry

Trigonometric Graphs; Identities

Trigonometric Applications

Statistics and Probability

Matrices and Determinant

### Advanced Mathematics / College Algebra:

**Course Title: Advanced Mathematics /College Algebra**

**Course Length: Full Year Course (1 credit)**

**Grade Level: 11,12**

**Prerequisite: Algebra II /Trigonometry**

This course is designed primarily for the college bound students; not only to potential mathematics majors, but as an asset for any college mathematics course. The student entering this course has developed excellent manipulative abilities, is able to apply these techniques in many situations, and has developed the ability to reason deductively. In addition to exercising algebraic skill, advanced mathematics is an introductory course to mathematical theory-looking at the structure of the complex number system and how the algebraic concepts apply to it. This course is ideal for the potential mathematics major.

**Course Outline:**

Polynomial Functions

Inequalities

Functions

Exponents and Logarithms

Analytic Geometry

Trigonometric Functions

### Discrete Math:

**Course Title: Discrete Math**

**Course Length: Full Year Course (1 credit)**

**Grade Level: 12**

**Pre/Co-requisite: Advanced Mathematics /College Algebra**

This course is a continuation of advanced mathematics into the areas of pre-calculus, including discrete mathematics. It gives the student a glimpse into some of the many areas of mathematics available for study: trigonometry with polar coordinates, discrete mathematics and data analysis, statistics, probability, and introductory calculus. The discrete mathematics graduate has a strong pre-calculus background and is well prepared for the transition to calculus courses offered in college.

**Course Outline:**

Vectors and Determinants

Sequences and Series

Matrices

Combinatorics

Probability

Statistics

Curve Fitting and Models

Limits

Introductory Calculus