2. Integer Instructional Techniques Integer Instructional Techniques

3. Integer Unit Activator The unit begins with a discussion of opposite words Eventually leading to a discussion of positive and negative being opposites The Touchdown Game

4. Using Manipulatives Rules of the road to make manipulative use more productive. Classroom Management Rules Let them play. Provide a designated work space to provide focus. Zero Tolerance Concept Development Let the children experiment and come up with their own ideas. Keep using the models for as long as necessary

5. Two-Color Counters Red chips represent negative one Yellow chips represent positive one Zero Pair

6. Two-Color Counter Examples 6 + 5 =

7. Two-Color Counter Examples 6 + -5 =

8. Two-Color Counter Examples -8 + 3 = 9 + -7 = -3 + -2 =

9. Two-Color Counter Examples -6 – (-2 )=

10. Two-Color Counter Examples 6 – (-2 )=

11. Two-Color Counter Examples -6 – (-7 )=

12. Two-Color Counter Examples -8 – 3 = 9 – (-7) = -3 – (-5 )=

13. Drawing Pictures -3 – (-5 )= + --- - + - + --- - + -

14. Drawing Pictures -3 + 5 = 6 – (-2) = -4 – 3 =

15. Number Lines 6 + 2 = Starting Point Go to the right or forward

16. Number Lines 6 + -2 = REVERSE IT!!! Go to the right or forward Starting Point

17. Number Lines -3 - 5 = Go to the left or backward Starting Point

18. Number Lines -3 – (-5) = Go to the left or backward Starting Point REVERSE IT!!!

19. Number Lines -3 + 5 = 3 + (-6) = 6 – (-2) = -4 – (-3) =

20. Largest Number Wins! Me vs. You Students work several problems just as in a worksheet… But, they don’t complain about it! Rules, hints…

21. Largest Number Wins! Part 2 Up the Difficulty Now SUBTRACT chosen number Relevancy = Memory

22. Multiplication and Division 3 x (- 5) = Three groups of negative five -4 x (-3) = The opposite of 4 groups of negative three -3 x 3 =

23. Multiplication and Division 12 ÷ 3 = 12 chips split into 3 equal groups. The quotient is how many are in each group. 12 ÷ (-3) = 12 chips split into 3 equal groups. The quotient is the opposite of how many are in each group.

24. Multiplication and Division - 12 ÷ 3 = 12 red chips split into 3 equal groups. The quotient is how many are in each group. - 12 ÷ (-3) = 12 red chips split into 3 equal groups. The quotient is the opposite of how many are in each group.

25. Contact Information Jonathan Laney Mathematics School Improvement Specialist (770) 583-2528 ext. 639 jlaney@garesa.org