Advanced Algebra-Grade 8

Avon Lake City Schools

Curriculum Framework

Advanced Algebra - Grade 8

Course Overview:

This class is aligned to the national Common Core Standards for Algebra I to prepare our students to compete in a college setting. High school credit can be earned with a minimum average score of 70%. A graphing calculator (TI-83 or TI-84) is required.

Textbook (Title and Publishing Company):

Big Ideas Learning - Algebra 1 Common Core (available as text and online)

Online/Supplemental Materials:

  • Desmos
  • Delta Math

Assessments:

  • Ohio State Test
  • NWEA Map Growth
  • Topic Common Assessments

Content/Topics/Learning Goals

Subject to Pacing and Schedules

First Quarter

Solving One-Variable Equations

  • Modeling quantities
  • Solving one-variable equations
  • Solving absolute value equations
  • Literal Equations

Solving One-Variable Inequalities

  • Writing and graphing inequalities
  • Expressing solutions to inequalities in interval notation
  • Solving one-variable inequalities
  • Solving compound inequalities
  • Solving absolute value inequalities

Functions

  • Identify characteristics of functions
  • Function notation
  • Standard form for linear functions
  • Slope-Intercept form for linear functions
  • Identifying linear versus non-linear functions
  • Domain and Range
  • Discrete versus Continuous

Second Quarter

Writing Linear Functions

  • Slope-Intercept Form
  • Point-Slope Form
  • Parallel versus Perpendicular
  • Scatter Plots
  • Analyzing Lines of Best Fit
  • Arithmetic Sequences
  • Piecewise/ Step Functions

Systems of Equations

  • Solve by graphing, substitution, and elimination
  • Special Situations
  • Applications of Systems of Equations
  • Two-Variable Inequalities
  • Two-Variable Inequality Systems

Third Quarter

Exponents

  • Exponent Rules
  • Negative Exponents
  • Scientific Notation (conversions, computations, and applications)

Exponentials

  • Exponential Functions
  • Graphing Exponential Functions
  • Growth and Decay
  • Geometric Sequences
  • Recursive Functions

Polynomials and Factoring

  • Operations of Polynomials (addition, subtraction, multiplication)
  • Special Products
  • Solving Factored Form
  • Factoring Polynomials

Graphing Quadratics

  • Identifying characteristics of quadratic graphs
  • Graphing by transformations
  • Graphing from Vertex-Form
  • Applications of Quadratics

Forth Quarter

Solving Quadratics

  • Solve by graphing
  • Solve by Square Roots
  • Solve by Completing the Square
  • Solve by Quadratic Formula
  • Writing Quadratics in Vertex Form
  • Finding and Interpreting the Discriminant

Statistics

  • Measure of central tendency
  • Box-Whisker Plots
  • Relative Frequency

Radicals

  • Simplifying radicals
  • Pythagorean Theorem in Radical Form
  • Quadratic Formula in Radical Form
  • Radicals as Rational Exponents
  • Solving Exponential Equations
  • Simplifying Square and Cubed Roots
  • Operations with Radicals

If Time Allows:

  • Graphing Square Roots using Transformations
  • Solving Radical Equations
  • Non-Linear Systems
  • Distance-Rate-Time Applications, Mixture Applications

Updated: September, 2023