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Insights Into Algebra 1 - Teaching For Learning
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Topic Overview Lesson Plans Student Work Teaching Strategies Resources
Workshop 7 Direct and Inverse Variation Lesson Plans
Lesson Plans:

Introduction

Lesson Plan 1: Be Direct - Oil Spills on Land

Lesson Plan 2: Very Varied - Inverse Variation
Download the Workshop 7 Guide


Tool Box
Journal
Graphing Calculator
Channel-Talk
NCTM Standards


Lesson Plan 2: Very Varied - Inverse Variation

Overview Procedures For Teachers Related Standardized Test Questions Materials

Overview:
This lesson 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. This lesson plan is based on the activity used by teacher Peggy Lynn in Part II of the Workshop 7 video.

Time Allotment:
One to two 50-minute periods

Subject Matter:
Volume
Area
Inverse variation
Nonlinear functions

Learning Objectives:
Students will be able to:
  • Identify an inverse variation by the shape of its graph.
  • Represent an inverse variation algebraically.
  • Describe the primary characteristics of an inverse variation.
  • Compare and contrast an inverse variation with a direct variation.
Standards:
Principles and Standards for School Mathematics, National Council of Teachers of Mathematics (NCTM), 2000:

NCTM Algebra Standard for Grades 6-8
http://standards.nctm.org/document/chapter6/alg.htm

NCTM Algebra Standard for Grades 9-12
http://standards.nctm.org/document/chapter7/alg.htm

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