Course 3 Online!
Henrico County Public Schools, Virginia
8.16 - Graph Linear Equations
Number and Number Sense, Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

SOL Review Materials
Patterns, Functions, and Algebra
Focus: Linear Relationships


The student will graph a linear equation in two variables. 
Essential Knowledge and Skills 
  • Construct a table of ordered pairs by substituting values for x in a linear equation to find values for y.
  • Plot in the coordinate plane ordered pairs (x, y) from a table.
  • Connect the ordered pairs to form a straight line (a continuous function).
  • Interpret the unit rate of the proportional relationship graphed as the slope of the graph, and compare two different proportional relationships represented in different ways.†Revised March 2011
Essential Understandings
  • What types of real life situations can be represented with linear equations? Any situation with a constant rate can be represented by a linear equation.
Vertical Articulation
  1. SOL 6.20 - graph inequalities on number line
  2. SOL 7.15ab - solve one-step inequalities; b) graph solutions on number line
  3. SOL A.5 - solve multistep linear inequalities (2 variables) - a) solve multistep linear inequalities (algebraically/graphically); b) justify steps used in solving inequalities; c) solve real-world problems involving inequalities; d) solve systems of inequalities
Instructional Materials
  1. VDOE Enhanced Scope and Sequence Lesson: Graphing Linear Equations (PDF) - Graphing linear equations (Word)
  2. Notes: Graphing Linear Equations (flipchart)
  3. Notes: Graphing Linear Equations #2 (flipchart)
  4. Notes: Graphing Linear Functions (ppt)
  5. VDOE Algebra Readiness Curriculum Companion: Investigating Patterns, Functions, and Algebra (pdf)
Real World Lessons
  1. Den Meyer: Joulies - Do you think Joulies will work as advertised?
Practice
  1. Worksheet: Tables and Relations (pdf)
Self-Assessments
  1. SOL 8.16 Mini-Quiz: Graphing Linear Equations
Skills
  1. Mathematics Assessment Project: A17:Linear Graphs - Apprentice - In this task, you are asked to match equations with linear graphs.
  2. Graphing: Crawling Crayfish (doc)
Videos
Explore Learning
  1. Defining a Line with Two Points: Place two points wherever you like. Compute the slope of the line between them. View the equation of that line in slope‑intercept and point‑slope form.
  2. Point-Slope Form of a Line - Activity A: Compare the point-slope form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response.
  3. Slope-Intercept Form of a Line - Activity A: Compare the slope‑intercept form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response.
  4. Standard Form of a Line: Compare the standard form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response.
Websites
  1. Notes: Graphing Using a T-chart - notes on graphing at Purplemath.com
  2. Interactive: Slope Slider - manipulate a linear function in the form of f(x) = mx + b at Shodor.org
  3. Interactive: Graphing Activity - real world activity and lesson used with graphing functions
  4. Interactive: Graphing Functions - math manipulative at matti.usu.edu that graphs up to 3 functions at a time. Choose the Grapher icon from the list.
VDOE Interventions
  1. VDOE Algebra Readiness Curriculum Companion: Investigating Patterns, Functions, and Algebra - The lessons focus on algebraic reasoning. Students explore the relationships found in number patterns through arithmetic and geometric sequences using variables expressions.. They use modeling to collect data, and they learn to record data so that they can see the relationship that exists among tables, graphs, words, and equations. (pdf)
Common Core Standards
8.EE.5
8.F.1
8.F.3
8.F.4
8.F.5