The Concept of Slope

Graphing Equations and Inequalities

By Qinxia Li, Xinyao Yang, Howsikan Kugathasan

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.

Download Case

Date Posted

10/17/2016

Overview

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

Subject Headings

Mathematics

Science (General)

Science Education

EDUCATIONAL LEVEL

High school, Undergraduate lower division

FORMAT

PDF

TOPICAL AREAS

N/A

LANGUAGE

English

TYPE/METHODS

Directed, Discussion