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
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