8TH Grade Math

  • Course Length:

    2 semesters

  • Course Program:

    NFC Academy Teacher Program – Accredited

    NFC Academy Homeschool Edition – Accredited

    NFC Homeschool Basics – Not Accredited

  • Accredited:

    Cognia-SACS, Middle States and FACCS

Pre-algebra is an introductory algebra course designed to prepare middle school students for Algebra I. The 8th grade homeschool course focuses on strengthening needed skills in problem-solving, integers, equations, and graphing. Students will begin to see the “big picture” of mathematics and learn how numeric, algebraic, and geometric concepts are woven together to build a foundation for higher mathematical thinking.

Students who may have taken Pre-algebra in seventh grade or demonstrate through quantifiable academic work may be approved to take Algebra I in eighth grade for High School credit. Algebra I is a full year, high school credit course that is intended for the student who has successfully mastered the core algebraic concepts covered in the prerequisite course, Pre-Algebra. Within the Algebra I course, the student will explore basic algebraic fundamentals such as evaluating, creating, solving and graphing linear, quadratic, and polynomial functions.  Upon completion of the course the student’s goals are to successfully, solve single variable, absolute value, and linear systems of equations; solve and graph single variable, absolute value, and linear inequalities; evaluate, solve, and graph linear and quadratic functions as well as conceptualize the relationship between the independent and dependent variable of a function; understand and know how to apply the distance, midpoint, and slope formulas as well as the Pythagorean theorem; form an equation of a line using the slope-intercept, point-slope and standard forms of a line; organize data in the form of a table or matrix; perform complex matrix operations such as multiplication, evaluating the determinant, and solving a system of linear equations using Cramer’s Rule; apply basic fundamental rules of exponents; be able to construct a formula or equation necessary to solve algebraic word problems involving area, perimeter, and linear systems of equations, basic probability and statistical reasoning, distance, and compounding interest; evaluate rational expressions and solve equations with rational expressions; and, simplify and perform operations with radical expressions and polynomials.


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Course Concepts & Samples

Curriculum Focus

  • The Real Number System: Student Will Explore Different Properties of Numbers, and How to Use them to Simplify Expressions and Formulas to Make Computations Easier.
  • Modeling Problems in Integers: Student Will Translate and Solve One-Step Equations, or Two-Step Equations in Context, and Check Solutions for Reasonableness, Using the Order of Operations, and by Substituting Values for Variables.
  • Modeling Problems with Rational Numbers: Student Will Add, Subtract, Multiply, and Divide Decimals, Fractions, and Mixed Numbers with Variables, Likes, and Unlike Denominators to Solve One and Two-Step Word Problems.
  • Proportional Reasoning: Students Will Convert Between Fractions, Decimals, and Percents, and Compare them, and Identify Similar and Congruent Figures and Their Corresponding Parts, and Solve for Missing Measures.
  • More with Functions: Student Will Identify the Parts of a Line or Quadratic Equation and Be Able to Graph It, and Explore Arithmetic and Geometric Sequences, as well as Exponential Growth and Decay.
  • Measurement: Students Will Explore Relationships Between Sets of Lines and the Angles They Create, Understand and Use the Pythagorean Theorem, and Identify Characteristics of Polygons.
  • Plane Geometry: Student Will Determine How to Calculate Areas of Common Polygons, Identify Different Transformations and How to Determine the Type and Original Image Location.
  • Measures of Solid Figures: Students Will Calculate Surface Area and Volume of Different Objects, and Solve for Missing Measures of 3 Dimensional Figures when Given Surface Area or Volume, and Explain the Relationship Between Surface Area and Volume.
  • Data Analysis: Students Will Identify the Mean, Median, Mode, Range, Lower Quartile, and Upper Quartile of Different Data Sets and Construct the Best Display of the Information.
  • Probability: Students Will Identify all the Possible Outcomes of a Given Situation Using Combinations, Permutations, and Probability, and Determine if Events Are Dependent or Independent.

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