This worksheet is designed to give students a hands-on activity in which they end up with a linear equation with a negative slope. Each group starts out with a 1-meter (100 cm) length of rope, and they repeatedly tie knots in it, which causes the rope to shorten.
I recommend the yellow plastic rope, (about the thickness of your pinky finger), that won't hold knots very well: you can reuse it throughout the day. For the rope my students used, each knot used up about 5 cm. It's important that the knots don't overlap and get on top of other knots: tell your students to stop tying additional knots when they can no longer easily add one without the knots overlapping.
This lab includes application and interpretation questions as well. I have found that after using this lab, students have a much better understanding of slope as truly representing a rate of change: instead of just saying the slope is 5, they now better understand that the slope actually represents that the rope loses 5 cm per knot.
I start out class with a 15-minute "mini-lesson," giving my students some basic examples of what today's lesson will be about. Once the mini-lesson is over, I have them get to work within their groups on this worksheet.
I use this activity within cooperative groups, and I circulate to make sure they are getting the purpose of the questions.
The file includes spiral review problems.
This worksheet is intended to be written on directly.
Please download the pdf preview file first, so you can see exactly what's included; the product file is a word document, which you may personalize for your students.
Immediately before this worksheet, I use the worksheet named 'Permutations and Combinations Algebra Spring 2014' (http://www.teacherspayteachers.com/Product/Permutations-and-Combinations-Algebra-Spring-2014-1271146
), and immediately after this worksheet, I use the worksheet named 'FOILing and factoring Spring 2014' (http://www.teacherspayteachers.com/Product/FOILing-and-factoring-Spring-2014-1271173