Standard #: MA.912.A.2.12 (Archived Standard)


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Solve problems using direct, inverse, and joint variations.


Remarks


Example 1: According to Hooke's Law, the force needed to stretch a spring is directly proportional to the net spring stretch (stretched spring length minus original spring length). If 20 Newtons (N) force results in a net spring stretch of 5 centimeters, what is the net spring stretch achieved when a force of 80N is applied (assuming 80N force does not exceed the spring's stretch limit)?

Example 2: On Monday, your drive to work takes 10 minutes and your average speed is 30 mph. On Tuesday, your drive on the same route takes 15 minutes. What is your average speed on Tuesday?



General Information

Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Algebra
Idea: Level 3: Strategic Thinking & Complex Reasoning
Standard: Relations and Functions - Draw and interpret graphs of relations. Understand the notation and concept of a function, find domains and ranges, and link equations to functions.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 3: Strategic Thinking & Complex Reasoning - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived

Related Resources

Unit/Lesson Sequence

Name Description
Direct and Inverse Variation "Lesson 1 of two lessons teaches students about direct variation by allowing them to explore a simulated oil spill using toilet paper tissues (to represent land) and drops of vegetable oil (to simulate a volume of oil). Lesson 2 teaches students about inverse variation by exploring the relationship between the heights of a fixed amount of water poured into cylindrical containers of different sizes as compared to the area of the containers' bases." from Insights into Algebra 1 - Annenberg Foundation.
Printed On:5/7/2025 11:35:02 AM
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