2.2: Ordered Pairs
This activity is intended to supplement Algebra I, Chapter 1, Lesson 6.
ID: 11638
Time Required: 15 minutes
Activity Overview
In this activity, students will investigate ordered pairs. They will graphically explore the coordinates of a point on a Cartesian plane, identifying characteristics of a point corresponding to the coordinate. Students will plot ordered pairs of a function, list these in a table of values, and graph them in a scatter plot.
Topic: Functions & Relations
 Cartesian coordinate system
 Characteristic of ordered pairs in a quadrant
 Graph ordered pairs on a scatter plot
Teacher Preparation and Notes

Before beginning the activity, students should clear all lists and turn off functions. To clear the lists, press STAT [EDIT] and scroll down until the arrow is in front of ClrAllLists or ClrList. Press enter twice. To clear any functions, press \begin{align*}Y=\end{align*}
Y= and then press CLEAR when the cursor is next to each \begin{align*}Y=\end{align*}Y= equation.  This activity can serve as an introduction to ordered pairs, quadrants, graphing points and see the connection between a function and a graph.
Associated Materials
 Student Worksheet: Ordered Pairs http://www.ck12.org/flexr/chapter/9611, scroll down to second activity.
Problem 1 – Ordered Pairs
First, students explore the coordinates of a point in the various quadrants. They will enter a given coordinate into lists \begin{align*}L1\end{align*}
Students should press ZOOM and select ZStandard to see the standard viewing window. After selecting ZStandard for the first coordinate, they can then press GRAPH for the other coordinates.
Explain to students that a point on the \begin{align*}x\end{align*}
After students answer the questions about what quadrant an ordered pair is in, they will explore where ordered pairs are in general. They need to turn off Plot1 and then press GRAPH. When students move the cursor, the coordinates will not be integers, but they should still be able to conjecture where the \begin{align*}x\end{align*}
Ask students to tell you where specific points will fall, without using the calculator.
 Where will \begin{align*}(5, 1)\end{align*}
(5,1) fall? Quadrant 1 If it is in Quadrant 1, where will \begin{align*}(5, 1)\end{align*}(−5,1) fall? Quadrant 2 \begin{align*}(5, 1)\end{align*}(5,−1) ? Quadrant 4 \begin{align*}(5, 1)\end{align*}(−5,−1) ? Quadrant 3  Continue with similar questioning until all students feel comfortable with the four quadrants.
Then students are to apply what they learned by plotting points to solve a puzzle. The solution of the puzzle is “MATH ROCKS.”
Problem 2 – Order Pairs
Students are given a function for the cost of ordering pears. They need to enter 5 ordered pairs into lists \begin{align*}L1\end{align*}
To set an appropriate window, students can press WINDOW and change the settings individually or press ZOOM and select ZoomStat.
Pressing TRACE and using the arrow keys will allow students to see the \begin{align*}x\end{align*}
Lastly, students will graph the line \begin{align*}y = x\end{align*}
Students should see that the slope of the line is the same as the coefficient of the function given for the cost of ordering pears.
The ManualFit regression can also be used to allow students to adjust the line of fit on the graph screen. Press STAT, arrow to the CALC menu and select ManualFit. Press ENTER when ManualFit appears on the home screen. Students can then adjust the slope and \begin{align*}y\end{align*}
Extension
Extension 1
Students are to find some other reallife data and then represent it as a set of ordered pairs, table, and scatter plot. Teachers can show students how to use the GraphTable split (found in the MODE screen) to see the graph and table at the same time.
Extension 2
Students are to come up with their own puzzle like the one page 1 of the worksheet, which spelled “math rocks”. They can share their puzzle with a friend or the class. Or students can draw a picture on a coordinate grid and identify key coordinate pairs. They then create two lists of \begin{align*}x\end{align*}
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