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The Concept of Slope

Graphing Equations and Inequalities



Co Authors:

Qinxia Li
Department of Mathematics and Computer Science
Fisk University
qli@fisk.edu

Xinyao Yang
Department of Mathematical Sciences
Xi’an Jiaotong-Liverpool University

Howsikan Kugathasan
Department of Mathematics
Fisk University

Abstract:

This directed case study is designed for an intermediate algebra course, appropriate for high school mathematics and lower division college mathematics. The ideal class size for running the activity is generally between 16 and 20 students. The main objective is to help students understand the concept of the slope of a line and be able to explain the definition in an applied scenario. After completing this case study, students should be able to graph a line and linear inequality.

Objectives:
  • Understand the definition of slope in an applied scenario.
  • Understand that the slope of a line is a constant.
  • Graph a line and write an equation of a line in standard and slope-intercept form.
  • Use the graph of a linear inequality to evaluate the shading areas geometrically on a rectangular coordinate system.
Keywords: line, linear inequality, slope, point-slope form, y-intercept
Topical Area: N/A
Educational Level: High school, Undergraduate lower division
Formats: PDF
Type/Method: Directed, Discussion
Language: English
Subject Headings: Mathematics   Science (General)   Science Education  
Date Posted: 10/17/2016
Date Modified: N/A
Copyright: Copyright held by the National Center for Case Study Teaching in Science, University at Buffalo, State University of New York. Please see our usage guidelines, which outline our policy concerning permissible reproduction of this work.

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