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Geometry Festival

Lesson III

Title: Coordinate Polygons

Grade Level: 4-6

Subject: Mathematics/Geometry

Learner Outcomes: Student will:

Identify the ordered pair for a point.
Locate the point in the first quadrant of a coordinate grid.
Identify x and y axis of a coordinate grid.
Plot points on a coordinate grid.
Plot polygon on coordinate grid.
Graph polygon on TI 73 graphing calculator. (Texas Instrument)

Duration of Lessons: 2-30/45 minute lessons

Materials:

Overhead projector
Coordinate grid paper
Grid for overhead
Laser Pointer
Coordinate polygon worksheet
Wall poster of TI 73 calculator

Technology/Tools/Courseware:

Multimedia computer with internet access
TI 73 graphing calculator
TI View screen
Computer Programs: Flip/Flop by MECC
Scott Foresman/Addison Wesley Interactive CD
Scott Foresman: Geometry Workshop developed by Fairfield Software

Teacher Notes:

The TI 73 graphing calculator is needed to complete the technical part of this lesson. Prior knowledge of the TI 73 would be helpful in this lesson.
Words in bold type represent the keys that will be pressed on the calculator.

Procedures:

1. Introduce coordinate grid on overhead. Discuss x-axis (horizontal) and y-axis (vertical). Put point A at the coordinate (4,7). Locate the coordinate pair on the grid by 1st moving across the x-axis and then up the y-axis. Demonstrate that the point is located on the grid lines where the x and y axis intersect. Show students (7,4) on the grid. Discuss why it is important to always put the x-axis first and the y-axis second in the pair.

2. Pass out grid paper. Make a coordinate grid numbering from 0 to 20 on the x and y-axis. Have students plot designated points on their grids. Record pairs in a list.

3. Students will take turns coming to the overhead and plotting points at the correct location.

4. Students will check the location of their plots for accuracy.

Day 2

1. Review the coordinate grid by placing points on the overhead and having students give the coordinate pairs.

2. Discuss attributes of different polygons. (triangle, square, rectangle, rhombus, parallelogram, trapezoid, pentagon, hexagon, octagon, decagon) How many sides? How many corners? What kind of angles?

3. Pass out Coordinate Polygon Worksheet. After discussion of the rectangle the class will plot a rectangle on the grid. Teacher will plot the shape on the overhead as the group plots the shape on the worksheet.

4. Teacher plots the first point as (2,3) and records the coordinate pair on the worksheet. List the points in the order they are connected to make the rectangle. A line segment should be drawn between each point as it is plotted. Record and plot the following pairs to complete the shape. (2,9), (8,9) (8,3), (2,3) The first point must be listed at the end of the list to complete the last side of the rectangle.

5. Complete the x and y boxes with the data. List the first number of the pair under the x box and the second number of the pair under the y box.

6. Teacher will direct students to enter the data in the calculator using the following steps. Using the TI view screen the teacher will display the calculator on the overhead. A laser pointer will be used on the wall poster to show which keys should be pressed.

7. Follow these steps to enter Data in a list in the calculator.

Turn the calculator on by pressing on.
Press list to view the list screen. List 1 must be cleared. If list 1 contains data, use the arrow keys and clear to clear it.
Use the arrow keys to move the cursor into the first line of L1. Use the number keys and enter to enter all of the x coordinates into the list.
Move to L2 and enter the y coordinates.
Press 2nd quit to exit list mode and return to the home screen. If the home screen is not cleared, do so by pressing clear.

8. To create a plot of the lists follow these steps:

Tip: You must have the same number of entries in both L1 and L2 in order to plot. Otherwise, you will get ERR: MISMATCH when you try to graph.

Before plotting the ordered pairs on the calculator, make sure that only Plot 1 is on. Press 2nd plot and see if Plots 2 and 3 are off. If not, select 4: Plots Off and press enter.
To graph the polygon press 2nd plot and choose Plot 1 by pressing enter.
Select On and press enter. Press the down arrow key to move to type, use the arrow keys to choose the connected line graph, and press enter.
Move down to Xlist and choose the list that your x-coordinate data is in by pressing 2nd stat, moving to your list, L1 (or list of x coordinates) and pressing enter. Move down to Ylist and choose the list that your y-coordinate data is in by pressing 2nd stat, moving to your list, L2 (or list of y coordinates) and pressing enter.
You need to set the viewing window before graphing. Press window and discuss with student what the Xmin, Xmax, Ymin, and Ymax values should be. Since the highest value is 10 set the Xmax to 10 and the Ymax to 10. Set the Xmin to 0 and Ymin to 0. Type 2nd quit to clear screen.
Tip: Do not change the DX=value. The calculator adjusts this value automatically. Leave Xsci and Ysci at 1. These determine the distance between tick marks on the graph.
Press graph to see the polygon.

9. After plotting the rectangle on the calculator students will plot a polygon of their choosing on the 2nd grid on the worksheet. The polygon should have from 3 to 10 sides. Remind students to write pairs in order they are connected to make the polygon. After teacher checks students work the class will graph the polygon on the graphing calculator.

Modifications:

Adjust the lessons to meet individual needs. Visually impaired students can experience graphing on a poster size grid with raised grid lines. Peers could be of assistance in providing a more one to one approach as necessary.

Enrichment:

Graph polygons in quadrants I, II, III, and IV using positive and negative numbers.
The following software programs can be setup on the computer:
    Flip/Flop by MECC
    Scott Foresman/Addison Wesley Interactive CD
    Scott Foresman Geometry Workshop developed by Fairfield Software
Web site connections:
Simple Coordinates Games
Maze Game
Interactive Games for Students
Good activities to use as a computer station or with Data Projector or LCD Panel:
Interactive Geometric Concentration Game
Matching Geometric Terms Game
Interactive Wordsearch, Geometric Terms
Flash Cards Geometric Terms (Interactive)
Matching Interactive Introduction to Angles

Vocabulary:

Coordinate pair: A pair of numbers used to locate a point on a graph.
x-axis: horizontal axis of the grid
y-axis: vertical axis of the grid

Extension:

Battleship Game
Geography-Map Reading
Worksheets for practice can be found in: More Math Manipulatives pp.37-40 Carson Dellosa

Evaluation:

Evaluation will be taken from student’s worksheet and their ability to graph polygons in the TI 73 calculator.

State Standards:

West Virginia Instructional Goals

Math: 5.31, 5.32, 6.31, 6.35

National Standards:

Resources/References:

Math Art-Projects and Activities by Carolyn Ford Brunetto
Great Graph Art by Cindi Mitchell, Scholastic - Reproducible Graphing Activities
Cartesian Cartoons Mystery Media - Practice for plotting graphs in all IV quadrants

Created by:

Jeanne Beard
Linda Hull
Connie Miragliotta

Intro Page Lesson I Lesson II Lesson III Lesson IV Lesson V