ESSENTIALS OF MATH ONLINE 

COURSE OVERVIEW
Course Length: 1 semester
Course Credit: 0.5
​Program: Homeschool Advantage, NFC Academy Teachers
NCAA Approved: Not a Core Course. 
High School Grade: 11-12 
Accredited: Cognia-SACS/CASI, Middle States, FACCS
Essentials of Mathematics is a semester-length review of the fundamentals taught in Pre-Algebra, Algebra I and Geometry courses and is useful at the high school level for basic skill remediation and/or practice necessary to prepare for a state exam. The course highlights basic mathematical skills through multiple review, practice and sample exam questions. 
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Upon successfully completing the course, the student should have mastered the following concepts: understand and know how to compute and define rational numbers; perform basic operations such as addition, subtraction, multiplication, and division with fractions, decimals, and percents; apply basic fundamental rules of exponents as well as scientific notation; be able to construct basic and complex geometric shapes; solve for perimeter, area, surface area, and volume; use inductive and deductive reasoning, conjectures, and estimation necessary to construct a picture, formula or equation needed for analyzing and solving algebraic and geometric word problems involving basic probability and statistical reasoning, scale factor, graphic representation of quantities, and linear systems of equations; solve single variable, absolute value, and linear systems of equations; evaluate, solve, and graph linear functions as well as conceptualize the relationship between the independent and dependent variable of a function; simplify and perform operations with radical expressions and polynomials; understand and know how to apply the slope-intercept form of a line, slope formula, and Pythagorean theorem.
COURSE CONCEPTS & SAMPLES
            Curriculum Focus
  • Understand and Know How to Compute and Define Rational Numbers
  • Perform Basic Operations such as Addition, Subtraction, Multiplication, and Division with Fractions, Decimals, and Percents
  • Apply Basic Fundamental Rules of Exponents as well as Scientific Notation
  • Be Able to Construct Basic and Complex Geometric Shapes; Solve for Perimeter, Area, Surface Area, and Volume
  • Use Inductive and Deductive Reasoning, Conjectures, and Estimation Necessary to Construct a Picture, Formula or Equation Needed for Analyzing and Solving Algebraic and Geometric Word Problems Involving Basic Probability and Statistical Reasoning, Scale Factor, Graphic Representation of Quantities, and Linear Systems of Equations
  • Solve Single Variable, Absolute Value, and Linear Systems of Equations
  • Evaluate, Solve, and Graph Linear Functions as well as Conceptualize the Relationship Between the Independent and Dependent Variable of a Function
  • Simplify and Perform Operations with Radical Expressions and Polynomials
  • Understand and Know How to Apply the Slope-Intercept Form of a Line, Slope Formula, and Pythagorean Theorem​
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