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High School Algebra IA

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Description

Algebra 1-A is the first course in a two-course sequence. In Algebra 1-A, you will focus on the Algebra 1 benchmarks related to linear functions. The lessons are designed to help you develop fundamental algebraic skills for problem-solving in the real world. To fulfill the Algebra 1 requirement for high school graduation, you must finish this sequence by completing Algebra 1-B or Algebra 1.Instruction will be focused to ensure mastery in these four areas: extending understanding of functions to linear functions and using them to model and analyze real-world relationships; solving linear equations and inequalities in one variable and systems of linear equations and inequalities in two variables; building linear functions, identifying their key features, and representing them in various ways; and representing and interpreting categorical and numerical data with one and two variables.

Segment One

Module 01 – Expressions and Equations


  • Parts of Expressions and Equations
  • Rearranging Equations and Formulas
  • Solving One-Variable Linear Equations
  • Writing One-Variable Linear Equations
  • Mathematical Absolute Value Equations
  • Real-World Absolute Value Equations

Module 02 – One-Variable Linear Inequalities


  • Graphing One-Variable Linear Inequalities
  • Solving One-Variable Linear Inequalities
  • Writing One-Variable Linear Inequalities
  • Graphing Compound Inequalities
  • Solving Compound Inequalities
  • Writing Compound Inequalities

Module 03 – Two-Variable Linear Equations and Inequalities


  • Slope-Intercept Form
  • Point-Slope Form
  • Standard Form
  • Parallel and Perpendicular Lines
  • Graphing Two-Variable Linear Inequalities
  • Writing Two-Variable Linear Inequalities

Segment Two

Module 04 – Systems of Equations and Inequalities


  • Solve Systems of Equations by Graphing
  • Solve Systems of Equations by Substitution
  • Solve Systems of Equations by Elimination
  • Real-World Systems of Equations
  • Graphing Systems of Inequalities
  • Applications of Systems

Module 05 - Functions


  • Introduction to Linear Functions
  • Intercepts and Rate of Change
  • Domain and Range
  • Transformations of Linear Functions
  • Absolute Value Functions
  • Transformations of Absolute Value Functions

Module 06 – Linear Modeling


  • Linear Functions in the Real World
  • Correlation and Causation
  • Line of Fit
  • Line of Fit in the Real World
  • Scatter Plots and Residuals
  • Interpreting Scatter Plots