Here's the laminator I own and recommend: Basically, Karuta is a cross between Slap Jack and War.I tell the students to lay out either the question cards or the answer cards from their decks.For negative exponents, I use "cross the line and change the sign of the exponent." We didn't have time to explore why this works, but I will cover it more in depth with my students when they reach Algebra 2.We also discussed why anything raised to the zero power is equal to 1.The same students who have been struggling with all of the above have been rocking our last few lessons on naming polynomials and multiplying polynomials. My current theory is that multiplying polynomials is something they've never been exposed to before. My teaching of exponent rules this year relies on a lot of tricks.So, they actually found it necessary to listen to my explanation... I tried last year to have my students discover the rules for themselves.
I probably ended up spending two weeks on exponent rules, and I still had a group of students who just didn't get it. Day 1 - We played a game that I found on Nathan Kraft's blog.Because as soon as I start reteaching something that they have heard before, their minds shut down and start ignoring me. They think that a negative exponent means that you need to change the fraction to its reciprocal to make the exponents positive. And, don't even get me started on the order of operations.I guess they are thinking, "I don't have to listen. No matter how many times I say that multiplication and division must be performed from left to right, I have a student who will argue with me that multiplication comes before division in PEMDAS so we must always do it first.In a multiplication problem, the arrow points to add, so we add the exponents. I earned a degree in pure mathematics without knowing what the word meant.In an addition problem, the arrow points to nothing, so we do nothing to the exponents. I've emphasized this word so much this year, my eighth graders found it necessary to correct their science teacher for not referring to the vinculum by its proper name when learning about the density equation. But, I do think it goes to show my students that they shouldn't be scared by new vocab words just because they sound scary.
I will ask you a lot of questions and make sure you know that I know how special my daughter is.