Math

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:

Linear and Quadratic Functions
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:

Polar Coordinates and Complex Numbers
Vectors and Determinants
Sequences and Series
Matrices
Combinatorics
Probability
Statistics
Curve Fitting and Models
Limits
Introductory Calculus