1. BACKWARDS AND FORWARDS

Have your students in groups. Have half of the students facing the front and half facing the back. Now show your students that are looking forward a graph. Since they are facing forward they can see it plainly and need to describe it to their partner who is facing backward. The person who is facing backward then needs to draw the graph on paper. They can dialog back and forth to gain clarity.

I wonder if this could be done with students creating their graphs on their calculators/Chromebooks?

2. QUIZ, QUIZ, TRADE (Kagan)

Teacher Preparation is to make cards with questions on the front and answers on the back.

Students should be in pairs with all getting a card. QUIZ: Person A solves the problem while Person B Coaches and Encourages. QUIZ B: Then Person B begins their problem with their roles reversed. TRADE: They then give each other a high five congratulations and then TRADE cards. Now they stand up and hold up their hand looking for a new partner. High five the new partner and begin the process QUIZ, QUIZ TRADE over again.

I like this because of the fact that students get done with problems at different times and this structure accounts for that.

Video of Quiz, Quiz, Trade

3. RALLY COACH (Kagan)

Have your students work in pairs with one being A and the other B.

A problem is posed to the whole class. Person A solves the problem with Person B coaching and encouraging. A second problem is posed and the roles are reversed.

Video of Rally Coach

4. EQUIVALENCIES

Put students in groups of 2-4.

Pose a question. Given: 3x2

**Now ask all groups to find an equivalent expression (this works for equations too). They should be told that they should find more than one because there will be NO REPEATS (voted on by the class if is in violation). Students will be called on randomly to represent their group. Do no allow a student to give an answer that has already been given. Call on a few students until you feel like the students are Try to give time every once in a while to let students find some new equivalencies.**

3x2

x2+x2+x2

3(x)(x)

5x2 - 2x2

etc...

5. SIMULTANEOUS ROUND TABLE (Kagan)

Students are in groups of 4: A, B, C, D

Work sheets have 4 separate problems on it. All start in the left corner problem. When all are finished the paper is passed clockwise. That person checks the work of the person who gave it to them. There also might be discussion regarding the question. Wait until all are done and then start on the problem in the upper left. Again wait until all are done and then pass it clockwise. Check and discuss. Wait. etc. until all problems are done. You should end up with the page you started with and have all four problems worked out correctly.

One story that Dave relayed to me was that one of the teachers in his department describes herself as a waitress. She says that she moves from group to trying to see what they need next to help them. She sees herself as a servant. This is beautiful. I love the idea of students deciding what they need to get to the standards of the class and the teacher being available to serve them in their quest.