Algebra 1-A

Duration

Annual

Prerequisites

M/J Grade 7 Mathematics - Accelerated or M/J Grade 8 Pre-Algebra

Requirements

None

Course Summary

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 • representing and interpreting categorical and numerical data with one and two variables

MAJOR TOPICS AND CONCEPTS

Segment One

  • Identify parts of an expression and equation.
  • Rearrange equations or formulas to isolate a quantity of interest.
  • Explain if a solution to a one-variable equation is viable or non-viable based on context.
  • Write and solve one-variable multi-step equations from a real-world context.
  • Write and solve one-variable absolute value equations from a mathematical and a real-world context.
  • Write, solve, and graph a one-variable linear inequality.
  • Write, solve, and graph a one-variable compound inequality.
  • Graph a two-variable linear equation from slope-intercept, point-slope, or standard form.
  • Write a two-variable linear equation from a graph, table, or written context.
  • Solve problems involving simple interest.
  • Find the slope of a parallel or perpendicular line to a given line.
  • Write a two-variable linear equation for a line that is parallel or perpendicular to a given line.
  • Write, solve, and graph a two-variable linear inequality from slope-intercept, point-slope, or standard form.


Segment Two

  • Solve a system of linear equations by graphing.
  • Solve a system of linear equations by substitution.
  • Solve a system of linear equations by elimination.
  • Write a system of linear equations from a real-world context.
  • Determine the solution set to a system of linear inequalities by graphing.
  • Determine if a system of equations or a system of inequalities best models a real-world context.
  • Write a system of linear inequalities.
  • Determine if the solution set of a system of inequalities is viable or non-viable based on context.
  • Evaluate a function.
  • Interpret the output of a function.
  • Determine if a function is linear from a graph, a table, or a real-world context.
  • Determine and interpret the intercepts of a linear function from a written description, a table, or an equation.
  • Determine and interpret the rate of change of a linear function from a written description, a table, or an equation.
  • Calculate and interpret the average rate of change.
  • Determine and interpret the domain of a linear function from a written description, a table, or an equation.
  • Determine and interpret the range of a linear function from a written description, a table, or an equation.
  • Determine and interpret the end behavior of a linear function from a written description, a table, or an equation.
  • Identify the effect of a transformation on a linear function.
  • Graph an absolute value function.
  • Determine the key features of an absolute value function.
  • Determine the type of function, given an equation or a graph.
  • Identify the effect of a transformation on an absolute value function

How Algebra 1-A supports student success

In Algebra 1-A, students build subject knowledge through structured online lessons, guided practice, and regular feedback from qualified teachers. The course supports flexible study while maintaining clear academic expectations and steady progress.

Students can revisit learning materials, complete assignments at a manageable pace, and use teacher guidance to strengthen understanding. Families can follow progress while learners develop organization, independent study habits, and confidence.

  • Clear learning goals connect each lesson to the wider course.
  • Activities and assignments help students apply important concepts.
  • Assessments and teacher feedback identify strengths and next steps.
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