Insights Into Algebra 1 . Workshop 3

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Workshop 3 Systems of Equations and Inequalities

Lesson Plans

Lesson Plans:

Introduction

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

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

Overview:
In this lesson, students compare the speed at which they write with their left hand to the speed at which they write with their right hand. The experiment serves as a vehicle to help students develop a conceptual understanding of the three different types of possible solutions to a system of two equations with two unknowns. This lesson plan is based on the activity Jenny Novak uses in the video for Part I of this workshop.

Time Allotment:
Two 50-minute periods

Subject Matter:
Linear equations
Systems of equations

Learning Objectives:
Students will be able to:

Create scatterplots for two sets of data and find the equation of a line of best fit for both sets of data.
Determine the three different types of possible solutions to a system of two equations with two unknowns.
Interpret the meaning of the intersection of two lines as a solution to a system of equations.

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

Next: Procedures for Teachers

Insights into Algebra 1

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