The Set Up
The card sets can be used in many ways, some will be easier and others more challenging. Look at the ideas described below to see some of the many level you can take your class to using just one set of cards.
Starting out easy...
- Sort the cards before passing them out. Give each student or group just one type of cards. Have the students read through the cards and decide whether the their set is the always true set, the sometimes true, or the never true set.
- Give students only "Never" cards. Ask them to determine what in the statement makes it false.
- With the whole set of shuffled cards, have the students sort them into categories with the titles "Always", "Sometimes", or "Never."
Take it farther...
- Use the never true only cards again. This time have the students rewrite the statement to make it into a true statement.
- Have the students use the sometimes true statements. For each statement have them determine a time when the statement is true and an example of when the statement is false. They can write or draw an illustration explaining their choices.
Really challenge them!
- With the statements on the always true cards, have the students prove why the statement is always true using mathematical rules, examples, and illustrations. This is often more challenging than it seems since a really deep understanding of the concept is needed more to prove and answer true than false. To prove something false you need only one example!
- Have the students add to the set with their own statements. Have the students write some addition examples of always true, sometimes true, and never true statements. Have the student justify why it is in the category and debate with other students.
Also look at the links below to keep reading from some of my colleagues for more differentiation tips for the middle school math classroom.