Course 3 Online!
Henrico County Public Schools, Virginia
 Home Pacing SOL Tracker Math 8 Standards Virginia Department of Education Return to HCPS Math Courses Important News: Effective August 15, 2018, this site will be realigning to the 2016 SOL. As a result, many of the instructional notes, activities, and worksheets will be removed. Please download any files you wish to keep for future use.
8.16 - Graph Linear Equations
 Number and Number Sense, Computation and Estimation Measurement and Geometry Probability, Statistics, Patterns, Functions, and Algebra SOL Review Materials Frequently Asked Questions
 Patterns, Functions, and Algebra Focus: Linear Relationships The student will graph a linear equation in two variables. HCPS Course 3 Curriculum Guide
 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
Real World Lessons
1. Den Meyer: Joulies - Do you think Joulies will work as advertised?
Practice
Self-Assessments
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