Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

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Insights Into Algebra 1 - Teaching For Learning
algebra home workshop 1 workshop 2 workshop 3 workshop 4 workshop 5 workshop 6 workshop 7 workshop 8
Topic Overview Lesson Plans Student Work Teaching Strategies Resources
Workshop 3 Systems of Equations and Inequalities Lesson Plans
Lesson Plans:


Lesson Plan 1: Left Hand, Right Hand - Solving Systems of Equations

Lesson Plan 2: Hassan's Pictures - Linear Programming and Profit Lines
Download the Workshop 3 Guide

Tool Box
Graphing Calculator
NCTM Standards

Lesson Plan 2: Hassan's Pictures - Linear Programming and Profit Lines

Overview Procedures For Teachers Related Standardized Test Questions Materials

This lesson helps students learn to find the feasible region in a linear programming problem, to graph a family of profit lines, and to find the optimum point - the point on the feasible region that will produce the greatest profit. The lesson plan is based on the activity Patricia Valdez presents in the video for Part II of this workshop.

Time Allotment:
Two 50-minute periods

Subject Matter:
Systems of linear inequalities
Feasible regions
Profit lines
Optimum points

Learning Objectives:
Students will be able to:
  • Graph the feasible region in a linear programming problem.

  • Graph a family of profit lines for a given linear programming problem.

  • Determine the optimum point or solution to a linear programming problem.
Principles and Standards for School Mathematics, National Council of Teachers of Mathematics (NCTM), 2000:

NCTM Algebra Standard for Grades 6-8

NCTM Algebra Standard for Grades 9-12

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