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AIM: Adding Integers



                       Do Now
Subtract the following. Write your
answer in simplest form.

             1                  4
      4                - 2      7
              4




                                     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
www.mathisfun.com

Try this website when you are
 doing your Basic Skills Quiz
         corrections




                                3
Anticipatory Set
Fill out the first two columns based on
what you know about integers.

What you Know Want to Learn     What you 
                                Learned 




                                            4
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.




                                              7
1.)         -5 + (-2)               Removing Area
     ­1

             ­1               ­1



­1                             ­1
            ­1

 ­1




                      Extra Pieces 
                       ­1             1




                                                          8
2.)      -3 + (-4)             Removing Area
­1
          ­1       ­1   ­1


     ­1           ­1     ­1




                 Extra Pieces 
                  ­1             1




                                                     9
INDIVIDUALLY: Write a rule that allows you to add any
integers with the same sign without Integer Chips. (Just
pencil and paper)




                                                           10
3.)   2 + (-3)                Removing Area

                                  1       ­1


                                      1        ­1




                 ­1




          Extra Pieces 
          ­1              1




                                                    11
4.)   -1 + 4                     Removing Area

                                     ­1   1


         1



        1




         1




             Extra Pieces 
             ­1              1




                                                 12
5.)        -6 + 2                   Removing Area

                                       ­1
                                              1
      ­1



 ­1                                    ­1     1




 ­1
           ­1




                Extra Pieces 
                ­1              1




                                                    13
6.)   7 + (-3)                Removing Area




          Extra Pieces 
          ­1              1




                                              14
INDIVIDUALLY: Write a rule that allows you to add any
integers with different signs without using Integer Chips. (Just
pencil and paper)




                                                                   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.




                                                               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




                                                        17
Extra Examples




                 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.




                                                      19
Homework


Castle Learning
Assignment due
  Tomorrow




                  20

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Day 1 adding integers

  • 1. AIM: Adding Integers Do Now Subtract the following. Write your answer in simplest form. 1 4 4 - 2 7 4 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. www.mathisfun.com Try this website when you are doing your Basic Skills Quiz corrections 3
  • 4. Anticipatory Set Fill out the first two columns based on what you know about integers. What you Know Want to Learn What you  Learned  4
  • 5. 5
  • 6. 6
  • 7. 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. 7
  • 8. 1.) -5 + (-2) Removing Area ­1 ­1 ­1 ­1 ­1 ­1 ­1 Extra Pieces  ­1 1 8
  • 9. 2.) -3 + (-4) Removing Area ­1 ­1 ­1 ­1 ­1 ­1 ­1 Extra Pieces  ­1 1 9
  • 10. INDIVIDUALLY: Write a rule that allows you to add any integers with the same sign without Integer Chips. (Just pencil and paper) 10
  • 11. 3.) 2 + (-3) Removing Area 1 ­1 1 ­1 ­1 Extra Pieces  ­1 1 11
  • 12. 4.) -1 + 4 Removing Area ­1 1 1 1 1 Extra Pieces  ­1 1 12
  • 13. 5.) -6 + 2 Removing Area ­1 1 ­1 ­1 ­1 1 ­1 ­1 Extra Pieces  ­1 1 13
  • 14. 6.) 7 + (-3) Removing Area Extra Pieces  ­1 1 14
  • 15. INDIVIDUALLY: Write a rule that allows you to add any integers with different signs without using Integer Chips. (Just pencil and paper) 15
  • 16. 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. 16
  • 17. 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 17
  • 19. 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. 19