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AIM: Adding Integers



                       Do Now



        Basic Skills Quiz #1




                                1
Basic Skills Quiz #1
1.) Evaluate the following and write your answer in simplest form.
                2       1
                3       4


2.) Multiply.

            2.14       3.6
 3.) Estimate the following solution.

                50.1598 ÷ 12.5842

4.) Evaluate the following using the order of operations.

          9-2        4+5

 5.) Round the following to the nearest tenth.

                      168.1368




                                                                     2
Anticipatory Set
 Fill out the first two columns based on
 what you know about integers.
                                 What you 
What you Know Want to Learn
                                 Learned 




                                             3
4
5
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.




                                              6
1.)         -5 + (-2)                Removing Area
 ­1         ­1

                        ­1

  ­1
            ­1


                         ­1

       ­1




                 Extra Pieces 
                 ­1              1




                                                     7
2.)         -3 + (-4)                        Removing Area

­1                   ­1
           ­1
                               ­1


                          ­1
      ­1
                                    ­1




                Extra Pieces 
                ­1                       1




                                                             8
INDIVIDUALLY: Write a rule that allows you to add any
integers with the same sign without Integer Chips. (Just
pencil and paper)




                                                           9
3.)   2 + (-3)                Removing Area




               ­1
                                     1   ­1



                                     1    ­1




          Extra Pieces 
          ­1              1




                                               10
4.)   -1 + 4                    Removing Area


                                   ­1
                                        1

                1



                    1


                        1




          Extra Pieces 
           ­1               1




                                                11
5.)    -6 + 2                            Removing Area
      ­1



       ­1


                                                   1
                                           ­1
           ­1
                                          ­1
                                                  1
                ­1




                     Extra Pieces 
                     ­1              1




                                                         12
6.)   7 + (-3)                Removing Area




          Extra Pieces 
          ­1              1




                                              13
INDIVIDUALLY: Write a rule that allows you to add any
integers with different signs without using Integer Chips. (Just
pencil and paper)




                                                                   14
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.




                                                               15
Use the rules to evaluate the following expressions.
1.)   -4 + (-9)                         2.)   -3 + 15



3.)   9 + (-2)                         4.)   0 + (-8)



5.)   -8 + (-21)                       6.)   -18 + 7




                                                        16
Extra Examples




                 17
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.




                                                      18
Homework


Castle Learning
Assignment due
  Tomorrow




                  19
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.)   -4 + (-9)                         2.)   -3 + 15



3.)   9 + (-2)                             4.)    0 + (-8)



5.)   -8 + (-21)                           6.)    -18 + 7




                                                               20

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Day 1 adding integers

  • 1. AIM: Adding Integers Do Now Basic Skills Quiz #1 1
  • 2. Basic Skills Quiz #1 1.) Evaluate the following and write your answer in simplest form. 2 1 3 4 2.) Multiply. 2.14 3.6 3.) Estimate the following solution. 50.1598 ÷ 12.5842 4.) Evaluate the following using the order of operations. 9-2 4+5 5.) Round the following to the nearest tenth. 168.1368 2
  • 3. Anticipatory Set Fill out the first two columns based on what you know about integers. What you  What you Know Want to Learn Learned  3
  • 4. 4
  • 5. 5
  • 6. 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. 6
  • 7. 1.) -5 + (-2) Removing Area ­1 ­1 ­1 ­1 ­1 ­1 ­1 Extra Pieces  ­1 1 7
  • 8. 2.) -3 + (-4) Removing Area ­1 ­1 ­1 ­1 ­1 ­1 ­1 Extra Pieces  ­1 1 8
  • 9. INDIVIDUALLY: Write a rule that allows you to add any integers with the same sign without Integer Chips. (Just pencil and paper) 9
  • 10. 3.) 2 + (-3) Removing Area ­1 1 ­1 1 ­1 Extra Pieces  ­1 1 10
  • 11. 4.) -1 + 4 Removing Area ­1 1 1 1 1 Extra Pieces  ­1 1 11
  • 12. 5.) -6 + 2 Removing Area ­1 ­1 1 ­1 ­1 ­1 1 ­1 Extra Pieces  ­1 1 12
  • 13. 6.) 7 + (-3) Removing Area Extra Pieces  ­1 1 13
  • 14. INDIVIDUALLY: Write a rule that allows you to add any integers with different signs without using Integer Chips. (Just pencil and paper) 14
  • 15. 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. 15
  • 16. Use the rules to evaluate the following expressions. 1.) -4 + (-9) 2.) -3 + 15 3.) 9 + (-2) 4.) 0 + (-8) 5.) -8 + (-21) 6.) -18 + 7 16
  • 18. 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. 18
  • 20. 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.) -4 + (-9) 2.) -3 + 15 3.) 9 + (-2) 4.) 0 + (-8) 5.) -8 + (-21) 6.) -18 + 7 20