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Day 1Adding Integers.notebook            September 25, 2012




      AIM: Adding Integers



                                Do Now



                       Weekly Quiz #2




                                                              1
Day 1Adding Integers.notebook                             September 25, 2012




                           If the temperature is negative 8 degrees
                           and then rises 8 degrees, what is the final
                           temperature? Write a numeric expression to
                           represent this temperature change.




                                                                               2
Day 1Adding Integers.notebook                                           September 25, 2012




                 1.)        -5 + (-2)                              Removing Area



                                ­1             ­1
                       ­1
                                                         ­1
                                                              ­1



                                     ­1             ­1




                                          Extra Pieces 
                                          ­1                   1




                                                                                             3
Day 1Adding Integers.notebook                                 September 25, 2012




                   2.)          -3 + (-4)                Removing Area


                           ­1

         ­1                           ­1




                      ­1                   ­1   ­1
                                ­1




                                     Extra Pieces 
                                     ­1              1




                                                                                   4
Day 1Adding Integers.notebook                              September 25, 2012




                   3.)          -3 + (-7)             Removing Area




                                  Extra Pieces 
                                   ­1             1




                                                                                5
Day 1Adding Integers.notebook                              September 25, 2012




                   4.)          -4 + (-4)             Removing Area




                                  Extra Pieces 
                                   ­1             1




                                                                                6
Day 1Adding Integers.notebook                              September 25, 2012




           INDIVIDUALLY: Write a rule that allows you to add any
           integers with the same sign without Integer Chips. (Just
           pencil and paper)




                                                                                7
Day 1Adding Integers.notebook                            September 25, 2012




                 5.)       2 + (-3)                 Removing Area




                                                            ­1
                                                           1
                                      ­1
                                                                 1­1




                                Extra Pieces 
                                ­1              1




                                                                              8
Day 1Adding Integers.notebook                               September 25, 2012




                 6.)       -1 + 4                   Removing Area


                       1             1   1

                                                       1



                                                       ­1




                                Extra Pieces 
                                ­1              1




                                                                                 9
Day 1Adding Integers.notebook                                          September 25, 2012




                 7.)       -6 + 2                             Removing Area

                                ­1
                                          ­1
                                                     ­1
                                               ­1
                                                                            ­1
                                                                  ­1



                                                                  1         1




                                     Extra Pieces 
                                     ­1                   1




                                                                                            10
Day 1Adding Integers.notebook                                    September 25, 2012




                 8.)       7 + (-3)                         Removing Area


                                                                     1   1    1
                                1        1   1      1


                                                                ­1       ­1   ­1




                                    Extra Pieces 
                                    ­1                  1




                                                                                      11
Day 1Adding Integers.notebook                              September 25, 2012




       INDIVIDUALLY: Write a rule that allows you to add any
       integers with different signs without using Integer Chips. (Just
       pencil and paper)




                                                                                12
Day 1Adding Integers.notebook                            September 25, 2012




                                  Final Rules
       Adding Integers with the Same Sign: Find the sum of their
       absolute values. Use the signs of the two integers.



       Adding Integers with Different Signs: Find the difference of
       their absolute values. Use the sign of the integers with the
       greater absolute value.




                                                                              13
Day 1Adding Integers.notebook                      September 25, 2012




       Use the rules to evaluate the following expressions.
       1.)   -40 + (-92)                      2.)   -33 + 15



       3.)     90 + (-620)                   4.)   0 + (-81)




                                                                        14
Day 1Adding Integers.notebook   September 25, 2012




                                          0




                                                     15
Day 1Adding Integers.notebook                September 25, 2012




                            Extra Examples




                                                                  16
Day 1Adding Integers.notebook                       September 25, 2012




                          Before You Leave
        1.) Explain whether -7 + 2 is the same as 7 + (-2).



        2.) Explain whether 3 + (-5) is the same as -5 + 3.




                                                                         17
Day 1Adding Integers.notebook          September 25, 2012




                            Homework


                                None




                                                            18
Day 1Adding Integers.notebook                            September 25, 2012




      AIM: Adding Integers


                                  Final Rules
       Adding Integers with the Same Sign: Find the sum of their
       absolute values. Use the signs of the two integers.



       Adding Integers with Different Signs: Find the difference of
       their absolute values. Use the sign of the integers with the
       greater absolute value.

        Use the rules to evaluate the following expressions.
        1.)   -40 + (-92)                      2.)   -33 + 15



        3.)     90 + (-620)                        4.)    0 + (-81)




                                                                              19

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Day 12 adding integers with chips

  • 1. Day 1Adding Integers.notebook September 25, 2012 AIM: Adding Integers Do Now Weekly Quiz #2 1
  • 2. Day 1Adding Integers.notebook September 25, 2012 If the temperature is negative 8 degrees and then rises 8 degrees, what is the final temperature? Write a numeric expression to represent this temperature change. 2
  • 3. Day 1Adding Integers.notebook September 25, 2012 1.) -5 + (-2) Removing Area ­1 ­1 ­1 ­1 ­1 ­1 ­1 Extra Pieces  ­1 1 3
  • 4. Day 1Adding Integers.notebook September 25, 2012 2.) -3 + (-4) Removing Area ­1 ­1 ­1 ­1 ­1 ­1 ­1 Extra Pieces  ­1 1 4
  • 5. Day 1Adding Integers.notebook September 25, 2012 3.) -3 + (-7) Removing Area Extra Pieces  ­1 1 5
  • 6. Day 1Adding Integers.notebook September 25, 2012 4.) -4 + (-4) Removing Area Extra Pieces  ­1 1 6
  • 7. Day 1Adding Integers.notebook September 25, 2012 INDIVIDUALLY: Write a rule that allows you to add any integers with the same sign without Integer Chips. (Just pencil and paper) 7
  • 8. Day 1Adding Integers.notebook September 25, 2012 5.) 2 + (-3) Removing Area ­1 1 ­1 1­1 Extra Pieces  ­1 1 8
  • 9. Day 1Adding Integers.notebook September 25, 2012 6.) -1 + 4 Removing Area 1 1 1 1 ­1 Extra Pieces  ­1 1 9
  • 10. Day 1Adding Integers.notebook September 25, 2012 7.) -6 + 2 Removing Area ­1 ­1 ­1 ­1 ­1 ­1 1 1 Extra Pieces  ­1 1 10
  • 11. Day 1Adding Integers.notebook September 25, 2012 8.) 7 + (-3) Removing Area 1 1 1 1 1 1 1 ­1 ­1 ­1 Extra Pieces  ­1 1 11
  • 12. Day 1Adding Integers.notebook September 25, 2012 INDIVIDUALLY: Write a rule that allows you to add any integers with different signs without using Integer Chips. (Just pencil and paper) 12
  • 13. Day 1Adding Integers.notebook September 25, 2012 Final Rules Adding Integers with the Same Sign: Find the sum of their absolute values. Use the signs of the two integers. Adding Integers with Different Signs: Find the difference of their absolute values. Use the sign of the integers with the greater absolute value. 13
  • 14. Day 1Adding Integers.notebook September 25, 2012 Use the rules to evaluate the following expressions. 1.) -40 + (-92) 2.) -33 + 15 3.) 90 + (-620) 4.) 0 + (-81) 14
  • 15. Day 1Adding Integers.notebook September 25, 2012 0 15
  • 16. Day 1Adding Integers.notebook September 25, 2012 Extra Examples 16
  • 17. Day 1Adding Integers.notebook September 25, 2012 Before You Leave 1.) Explain whether -7 + 2 is the same as 7 + (-2). 2.) Explain whether 3 + (-5) is the same as -5 + 3. 17
  • 18. Day 1Adding Integers.notebook September 25, 2012 Homework None 18
  • 19. Day 1Adding Integers.notebook September 25, 2012 AIM: Adding Integers Final Rules Adding Integers with the Same Sign: Find the sum of their absolute values. Use the signs of the two integers. Adding Integers with Different Signs: Find the difference of their absolute values. Use the sign of the integers with the greater absolute value. Use the rules to evaluate the following expressions. 1.) -40 + (-92) 2.) -33 + 15 3.) 90 + (-620) 4.) 0 + (-81) 19