Algebra 2 Online!
Henrico County Public Schools, Virginia
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 Expressions and Operations Equations and Inequalities Functions Statistics SOL Review Materials Frequently Asked Questions
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
Self-Assessments
Skills
Videos
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