TEC LESSON PLAN

 

INVERSE VARIATION

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Contributor

Marilyn Minchey

Pinellas County Schools (PCS) Expectations

All PCS Grade Level Expectations Applicable_ PCS Expectations for Mathematics Levels 9-12

 

The Pinellas County School District has established grade level expectations in alignment with the Florida Sunshine State Stanadards for all students.

Florida Sunshine State Standards (SSS)

All SSS for Mathematics

Applicable SSS

In 1996, the Florida Board of Education adopted standards for academic achievement for all students in Florida.

 

National Education Technology Foundation Standards
All NETS Standards Applicable NETS
The National Educational Technology Standards were established to facilitate school improvement and for student assessment of technology use.
Unit Objectives Unit Objectives is a list of the outcomes which will be evaluated at the end of the unit.

 

Lesson Plan Overview and Suggested Order

 

Inverse Variation Power Point

 

Activity I - "A Balancing Act"

Teacher Information Sheet

Student Worksheet

Worksheet - Inverse Variation

 

Inverse Square Variation Power Point

 

Activity 2 - "Watt's Happening"

 

 

Worksheet - Inverse Square Variation

 

 

Unit Evaluation I

 

Rubric

 

Unit Evaluation II

 

 

 

This lesson plan is designed for Algebra II classes and should take 3 or 4 85-minute class periods. The suggested order is as follows:

  • The Inverse Variation Power Point presents the general inverse variation equation, the constant of variation and several graphs of 1st degree (n=1) inverse variation with various k's. It also shows the equipment set-up for Activity 1.
  • Activity 1, "A Balancing Act", is a data gathering acivity and worksheet for working with an inverse variation situation and finding the equation to model the data.
  • Worksheet - Inverse Variation. This worksheet involves graphing various 1st degree inverse equations and analyzing the effects of changing the values of k. The effects on y when x is changed is also investigated.
  • The Inverse Square Variation Power Point presents the inverse square variation, its graphs with various values of k and the set-up for Activity 2.
  • Activity 2 - "Watt's Happening", is a data gathering activity using a CBL but data is given in case a CBL is not available. The data is then graphed and the equation which models the data is found. Additional information for using a graphing calculator is given.
  • Worksheet - Inverse Square Variation. Students will graph several inverse variation equations with various constants of variation and examine the effects on the graphs of changing k, and the effects on y of changing x.
  • Unit Evaluation I contains 3 real life situations. Students are asked to graph data given, calculate the equations which model the data and explain in words each of the equations.
  • A rubric which can be used by students to evaluate their answers on the activities and worksheets is given. This same rubric and a corresponding grade correlation may be used to grade the Unit Evaluation.
  • Unit Evaluation II containing 3 situations similar to those in Unit Evaluation I which may be used as a remediation tool or as a general review.