This activity is intended to supplement Algebra I, Chapter 1, Lesson 6.
Time Required: 15 minutes
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 Y= and then press CLEAR when the cursor is next to each 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.
Problem 1 – Ordered Pairs
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.
Ask students to tell you where specific points will fall, without using the calculator.
- Where will (5,1) fall? Quadrant 1 If it is in Quadrant 1, where will (−5,1) fall? Quadrant 2 (5,−1)? Quadrant 4 (−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
To set an appropriate window, students can press WINDOW and change the settings individually or press ZOOM and select ZoomStat.
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.
Students are to find some other real-life data and then represent it as a set of ordered pairs, table, and scatter plot. Teachers can show students how to use the Graph-Table split (found in the MODE screen) to see the graph and table at the same time.