To begin the lesson, review adding integers. Show examples that include both positive and negative integers.
Then divide the class into groups of three or four. Students
will compete individually against the other people in their group.
Distribute the Zip, Zilch, Zero Rules and Record,
and read the rules aloud to students. As necessary, answer questions an
provide additional explanation. For example, you might want to show the
example below to give students an understanding of how to make a Zip.
It will be helpful to couple this example with the mathematical equation that it represents:
(-7) + 9 + (-2) = 0
This will help students to see that red cards represent negative
numbers, as well as an example of how to make zero using more than just
additive inverses. When you are certain that all students understand
the rules of the game, tell them that they will play a practice hand
before keeping score, to make sure that everyone understands the rules
of the game.
Distribute the Zip, Zilch, Zero
activity sheet. Give all instructions before giving cards to the groups
so they can focus on the preparation. Point out that Question 1
concerns the practice hand they will play. For this hand, when someone
goes out, everyone should show their remaining cards. They will then
estimate who will end up with the highest score and write their
predictions on the paper. This allows students a window into each
others' thinking and gives them practice with estimation and integers.
They will also accurately determine scores and reflect on the quality
of the prediction.
Hand out one deck of playing cards to each group. Monitor groups
closely during the practice hand. Students may think they have to match
a red and black number exactly to make a zip. Remind them that they
will get rid of their cards faster if they can make combinations with
more than two cards. In addition, students may be familiar with games
where all face cards are worth 10; in this game, J = 11, Q = 12, and
K = 13, and it may be helpful to remind students of this rule several
Groups work through the activity sheet as they play. The activity
sheet requires students to verify each other's scores to get more
practice and to prevent disagreements later. If time is short, you can
reduce the number of hands required for a game. Have a few students
share their best strategies with the class and explain why they worked