Lincoln-Way Community High School
Mathematics Department – Algebra 1
Unit 3 - LINEAR RELATIONSHIPS
Enduring Understanding:
Linear relationships occur in real life situations and can be illustrated using graphs.

Essential Questions:

  • How do you recognize a linear relationship?
  • Where do linear relationships occur in real-life?
  • How can we use graphs to solve real life situations?
  • How do you graph a linear relationship?

Target Goals:

  • Describe how range is affected by domain.
  • Compare and contrast two different graphs with regard to slope, intercepts, parallel and perpendicular.
  • Relate a real life situation to a graph and a graph to a real life situation.
  • Write a model for a linear relationship (direct variation).
  • Write a model for a non-linear relationship (inverse/joint variation).
  • Graph a linear equation/inequality and be able to identify the domain and range.
  • Find x and y intercepts.
  • Write the equation of a line given information about the line.
  • Find slope given two points or a graph.
  • Identify parallel and perpendicular lines by looking at a graph.
  • Identify parallel and perpendicular lines given the slopes.
  • Write the equation of a line given information about a parallel or perpendicular line.

Assessment:

  • Guided questions
  • Group activities
  • Quizzes
  • Tests
  • Daily observations
  • Homework

Activities:
State Goals:
8.D.3a - Solve problems using numeric, graphic or symbolic representations of variables, expressions, equations, and inequalities.

8.D.4 - Formulate and solve linear and quadratic equations and linear inequalities algebraically and investigate nonlinear inequalities using graphs, tables, calculators and computers.

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Last updated: January 25, 2008->