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  This lesson provided by:  
Author:Jerry Weeks
System: Escambia County
School: W S Neal High School

  General Lesson Information  
Lesson Plan ID: 11546


Introduction to the Cartesian Coordinate Plane


This lesson consists of two Powerpoint presentations that use animation (motion) to demonstrate how to obtain a 1-1 mapping between a plane and ordered pairs of Real numbers. These can be teacher presented or if you have enough PCs students can do these as independent activities.

 Associated Standards and Objectives 
Content Standard(s):
MA2015 (5)
23. Use a pair of perpendicular number lines, called axes, to define a coordinate system with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). [5-G1]
MA2015 (5)
24. Represent real-world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. [5-G2]

Local/National Standards:


Primary Learning Objective(s):

Students will learn the names of the components of the Cartesian plane along with how to plot points and determine the coordinates of points.

Additional Learning Objective(s):


 Preparation Information 

Total Duration:

31 to 60 Minutes

Materials and Resources:

Make sure the Powerpoint presentations are copied unto the PCs being used. The teacher should view the presentations first to ensure the students are instructed on how to run the presentations, if they are being done independently by the students.

Technology Resources Needed:

If the teacher is to present these Powerpoint presentations to the class as a whole then he/she will need a PC with Powerpoint and a multimedia projector or a large screen TV and scan converter. If the students are to do these independently as a programmed instruction activity, then sufficient access to PCs with Powerpoint is required.


Students need to understand the term perpendicular lines and know how to draw them.

1.)The Cartesian Plane presentation presents the steps to setting up the 1-1 mapping between a geometric plane and ordered pairs of Real numbers. It allows the students to repeat this until they are proficient. Then, the students can continue. The second part presents how to determine the coordinates of points plotted on the plane. It also talks about the six sets that comprise the Cartesian plane and the properties of the ordered pairs in each set.

2.)The Cartesian Plane Practice presentation illustrates how to graph points on the plane then gives students exercises to practice this skill.

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Assessment Strategies

I hope this material will be appropriate at several grade levels, so I am not including a test as it would have to be developed for the specific grade.




These presentations can be done by the teacher to the class as a group then individuals who need more help or the material presented at a slower pace can work through them independently.

Each area below is a direct link to general teaching strategies/classroom accommodations for students with identified learning and/or behavior problems such as: reading or math performance below grade level; test or classroom assignments/quizzes at a failing level; failure to complete assignments independently; difficulty with short-term memory, abstract concepts, staying on task, or following directions; poor peer interaction or temper tantrums, and other learning or behavior problems.

Presentation of Material Environment
Time Demands Materials
Attention Using Groups and Peers
Assisting the Reluctant Starter Dealing with Inappropriate Behavior

Be sure to check the student's IEP for specific accommodations.
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