Activity Overview
This activity allows students to explore situations in which points with a constant product of x-coordinate and y-coordinate are graphed. With TI-Navigator?s display, students can determine that a curve is formed from such points. This curve is in quadrants 1 and 3 if the product is positive or in quadrants 2 and 4 if the product is negative. The Learning Check enables the teacher to get immediate feedback from the students, thus giving opportunities to correct any errors in understanding.
Before the Activity
Before the Activity create a Learning Check that has the questions:
If a graph has points for which the product of the x-coordinate and the y-coordinate is -24, what kind of curve is it?
Line
Curve in one quadrant
Curve in two quadrants
If a curve has points for which the product of the x-coordinate and the y-coordinate is -24, its graph has either an x-intercept of 24 and a y-intercept of -1 or an x-intercept of -24 and a y-intercept of 1.
True
False
If a curve has points for which the product of the x-coordinate and the y-coordinate is -24, its graph passes through which quadrant(s)?
Quadrant 1
Quadrant 2
Quadrant 3
Quadrant 4
Start TI-Navigator and begin the class.
During the Activity
See the attachment
After the Activity
Send a Learning Check file to the class to check for their understanding. The first question is a multiple choice one.
If a graph has points for which the product of the x-coordinate and the y-coordinate is -24, what kind of curve is it?
Line
Curve in one quadrant
Curve in two quadrants
The second question is a true-false type.
If a curve has points for which the product of the x-coordinate and the y-coordinate is -24, its graph has either an x-intercept of 24 and a y-intercept of -1 or an x-intercept of -24 and a y-intercept of 1.
True
False
The third question is a multiple choice one for which there is more than one correct answer.
If a curve has points for which the product of the x-coordinate and the y-coordinate is -24, its graph passes through which quadrant(s)?
Quadrant 1
Quadrant 2
Quadrant 3
Quadrant 4
Collect the answer files from the classroom. Display the slide show of student responses and discuss the results.