1. Reason about and explain arithmetic patterns using units of 0 and 1 as they relate to multiplication and division.

2.  On your white board draw three large circles.  Draw between 2 and 10 dots in each circle.  You choose how many, just make sure there are the same number of dots in each circle. MULTIPLY & DIVIDE USING 1

3.  How many groups are there?  Write a multiplication equation that represents your picture.  Read your equation to your partner.  Now, ERASE one of the circles. MULTIPLY & DIVIDE USING 1

4.  How many groups are there now?  Write a new multiplication equation that represents your picture.  Read your equation to your partner.  Now, ERASE one of the circles. MULTIPLY & DIVIDE USING 1

5.  How many groups are there now?  Rewrite your equation again, to represent this picture.  When I call on you, show your drawing and tell the class your equation. MULTIPLY & DIVIDE USING 1

6. WWhen we multiply any number by one (1), what will the answer ALWAYS be? That number

7. 1 x 6 = 1 x 93 = 1 x 33 = 1 x 876 = 1 x 1 = 1 x 9762 = 6 6 1 1 93 9762 33 876

8.  Now, look at your circle again.  Write a division fact underneath your multiplication equation, divide by the number OF groups.  When I call on you, share your division fact. MULTIPLY & DIVIDE USING 1

9.  When we DIVIDE any number by one (1), what will the answer ALWAYS be? MULTIPLY & DIVIDE USING 1 That number

10. 6 ÷ 1 = 93 ÷ 1 = 33 ÷ 1 = 876 ÷ 1 = 1 ÷ 1= 9762 ÷ 1 = 6 6 1 1 93 9762 33 876

11.  Now, look at your circle again.  Write a division fact underneath your multiplication equation, but divide by the number IN the group.  When I call on you, share your division fact. MULTIPLY & DIVIDE USING 1

12.  When we DIVIDE any number by ITSELF (the same #), what will the answer ALWAYS be? MULTIPLY & DIVIDE USING 1 1 1

13. 6 ÷ 6 = 93 ÷ 93 = 33 ÷ 33 = 876 ÷ 876 = 1 ÷ 1= 9762 ÷ 9762 = 1 1 1 1 1 1 1 1 1 1 1 1

14. 4 x 0 = b How many dots are in each group? Zero … b = 0 Zero … b = 0

19. 8 x 0 = 62 x 0 = 789 = 55 x 0 = 0 x 1 = 6421 x 0 = 0 0 0 0 0 0 0 0 0 0 0 0

28. 0 ÷ 6 = 0 ÷ 15 = 0 ÷ 199 = 0 ÷ 22 = 0 ÷ 67= 0 ÷ 8502 = 0 0 0 0 0 0 0 0 0 0 0 0

29. Please divide these 7 Legos into 0 groups : Discuss with your partner how to do this.

30. Holy Toledo Batman! I can’t divide by 0!!!!