h Graphing and the Coordinate Plane

Graphing and the Coordinate Plane

Abstract

This lesson is designed to introduce students to graphing ordered pairs of numbers on the coordinate plane.

Objectives

Upon completion of this lesson, students will:

  • have been introduced to the Cartesian coordinate plane
  • understand the four quadrants of the Cartesian coordinate plane
  • be able to plot points on the plane
  • be able to read coordinates for a point from a graph
  • be able to give the ratio of rise over run for slope

Activities

This lesson introduces students to graphing ordered pairs of numbers on the coordinate plane through the following activities:

Standards

The activities and discussions in this lesson address the following Standards:

  • Number sense, number operations and number relationships
  • Patterns, relationships and functions

Key Terms

This lesson introduces students to the following terms through the included discussions:

Student Prerequisites

  • Arithmetic: Students must be able to:
    • perform integer and fractional arithmetic
  • Algebraic: Students must be able to:
    • work with very simple linear algebraic expressions
  • Technological Students must be able to:
    • perform basic mouse manipulations such as point, click and drag
    • use a browser such as Netscape for experimenting with the activities

Teacher Preparation

Students will need:

Lesson Outline

These activities can be done individually or in teams of as many as four students. Allow for 1-2 hours of class time for the entire lesson if all portions are done in class.
  1. Lead a discussion on the number line and the coordinate plane.

  2. Practice the students' point plotting skills by having them play the Coordinates! Game The game allows users to figure out and to practice using the coordinate plane for giving the "address" or exact location of particular points.

  3. Have the students practice their graphing skills on graph paper using the tables of values they generated in the lessons on Functions and Linear Functions.

  4. Have the students test their skills by playing the Maze Game.

Alternate Outlines

This lesson can be rearranged in several ways.
  • Omit one or the other of the computer activities to reduce the amount of time spent.
  • Add a discussion about fractional movement on the coordinate plane.
  • For students who aren't ready to handle negative numbers yet, replace the Coordinates activity with the positive numbers only alternate versions:
  • Motivate the next lesson by using Simpleplot to plot the tables of points that the students generated.

Suggested Follow-Up

After these discussions and activities, students will be have learned to plot points on the coordinate plane and to read the coordinates off of a graph. The next lesson Functions and Graphs will introduce students to the graphical representation of functions.

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