Instead of giving kids a lecture on how to classify numbers (natural numbers, whole numbers, integers, rational numbers, irrational numbers), I give them a mini-lesson instead.
The mini-lesson is 15-20 minutes in length, and I get them to think of a very simple calculator that only has 4 buttons: a 1, a +, an on-off, and an equals button. (The calculator displays a 1 to start, instead of a zero).
With this calculator, students see that they can only generate natural numbers. When we change the calculator to include a subtraction button, suddenly they can generate whole numbers and the integers.
Introducing a division button creates the set of rational numbers.
As soon as the mini-lesson is over, I have them dig right into the problems on this worksheet. They put their solutions on a separate sheet of paper.
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.
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.
This is the first assignment of the fall semester, so the most recent assessment used was of course the final exam named 'Accelerated Algebra 1 Final Spring 2014'
Immediately after this worksheet, I use the worksheet named 'Fractions Review Part 1 Fall 2013' (http://www.teacherspayteachers.com/Product/Fractions-Review-Part-1-Fall-2013-1106647