1. Complete the shaded boxes in the multiplication square.

   

   A blank multiplication chart. The horizontal axis is labeled negative 5 through 5. The vertical axis is labeled negative 5 through 5. The top right corner, from 0 through positive 5 on the horizontal and vertical axes, is shaded. Starting with 0 on the horizontal axis, each row is as follows: Row for 5: 0, 5, 10, 15, 20, blank Row for 4: 0, 4, 8, 12, 16, blank Row for 3: 0, 3, 6, 9, 12, blank Row for 2: 0, 2, 4, 6, 8, blank Row for 1: 0, 1, 2, 3, 4, blank Row for 0: 0, 0, 0, 0, blank Row 2, column negative 1 is filled in with the number negative 2.

2. Look at the patterns along the rows and columns. Continue those patterns into the unshaded boxes.
3. Complete the whole table.
4. What does this tell you about multiplication with negative numbers?

Your teacher will give you a set of cards. Each card contains an expression.

Sort the expressions into groups based on their values. There will be 3 cards in each group. Be prepared to explain how you know where each expression belongs.

Evaluate the expressions in one of the columns. Your partner will work on the other column.

Discuss your thinking with your partner after you finish each row. Your answers in each row should be the same. If you disagree, work to reach an agreement.