This is a set of cards I designed to use with Common Core 6 math. My students are working on evaluating algebraic expressions with coefficients, and then factoring out a coefficient from expressions. We have been building equations with a hands-on kit and the students are familiar with using a shape to represent an unknown. I wanted them to be able to build and visualize that the two forms of the expressions are simply different ways of grouping the terms, but the total value is identical.
I created 80 cards (in pairs) to show the coefficient form of an expression, and then the distributed version of the same expression. The cards use coefficients from 2 to 6, and variations of the 2(x+1) or 2(2x +1), as well as some higher values in the second term. I wanted the kids to recognize that 6x + 42 has both terms that are multiples of 6, so I included some higher multiples as well.
We have used these in various activities. Sometimes I use the coefficient form and give them the distributed form to locate equivalent matches, sometimes I reverse that, and then other times we use the complete set. The printed form has the pairs opposite each other and the coefficient form all in one column. They can be used in a variety of games, including a form of matching, bingo, war, and go fish. One of our favorites is a variation of a game in which students roll a die to generate the value of x, and then must substitute the value into their expression. The students play in pairs and the higher value wins both cards. I can choose the difficulty by varying the dice that are supplied.
This is a 15-page PDF. The first 10 pages are all of the cards. There is also a 1 page game guide with ideas for how to use the cards to play various games. There are 3 pages of Bingo boards (each requires the student to choose their expressions and fill them into the board). One gives them the co-efficient form, one the distributed form, and one is blank to be used by the teacher. There is also a 1 page pdf that can be given to students. It includes visual proof that two expressions are equivalent.