Algebra 2 Online!
Henrico County Public Schools, Virginia
Expressions and Operations

Equations and Inequalities

Functions

Statistics

SOL Review Materials
AII.10
The student will identify, create, and solve real-world problems involving inverse variation, joint variation, and a combination of direct and inverse variations.
Essential Knowledge and Skills 
  • Translate “y varies jointly as x and z” as y = kxz.
  • Translate “y is directly proportional to x” as y = kx.
  • Translate “y is inversely proportional to x” as y = k/x.
  • Given a situation, determine the value of the constant of proportionality.
  • Set up and solve problems, including real-world problems, involving inverse variation, joint variation, and a combination of direct and inverse variations.
Essential Understandings
  • Real-world problems can be modeled and solved by using inverse variation, joint variation, and a combination of direct and inverse variations.
  • Joint variation is a combination of direct variations.
Vertical Articulation
  1. SOL A.8 - given real-world context, analyze relation to determine direct/inverse variation; represent direct variation algebraically/graphically) and inverse variation (algebraically)
Instructional Materials
  1. VDOE ESS Lesson: Types of Variations - Statistics (PDF) - Exploring variations (Word)
Real World Lessons
Practice
  1. VDOE ESS: Variation Examples Chart (pdf)
  2. VDOE ESS: Direct, Inverse, and Joint Variations (pdf)
Self-Assessments
  1. SOL Mini-Quiz: AII.10 - Variation
Skills
Videos
  1. Video: PH Using Joint and Other Variations
Explore Learning
  1. Direct Variation - Adjust the constant of variation and explore how the graph of the direct variation function changes in response.
  2. Direct and Inverse Variation -Adjust the constant of variation and explore how the graph of the direct or inverse variation function changes in response. Compare direct variation functions to inverse variation functions.
  3. Determining a Spring Constant - Place a pan on the end of a hanging spring. Measure how much the spring stretches when various masses are added to the pan. Create a graph of displacement vs. mass to determine the spring constant of the spring.
Websites
  1. Notes: Variation Equations notes from Purplemath.com
Common Core Standards
None