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Basic
  Math
 Counting and
   Addition
        By iTutor.com
           T- 1-855-694-8886
          Email- info@iTutor.com
Counting
One     1

Two     2

Three   3

Four    4

Five    5
                       © iTutor. 2000-2013. All Rights Reserved
Six     6

Seven   7

Eight   8

Nine    9

Ten     10

             © iTutor. 2000-2013. All Rights Reserved
Addition
Addition is ..
  ... bringing two or more numbers (or things) together to
  make a new total
        Here 1 ball is added
        to 1 ball
        to make 2 balls:

                                       "One plus one
         And in words it is:
                                        equals two"



           3+2=5


                                           © iTutor. 2000-2013. All Rights Reserved
WHOLE NUMBERS
  Addition
      Number Line
    • Number Line - Shows numerals in order of value




      Adding on the Number Line
    • Adding on the Number Line (2 + 3 = 5)




       Adding with pictures
     • Adding with pictures




                                           © iTutor. 2000-2013. All Rights Reserved
Addition of whole numbers
Set Model
To find “2 + 3”, one with 2 objects and the other with 3
objects, form their union, and count the total. (click to
see animation)




                                          © iTutor. 2000-2013. All Rights Reserved
Measurement Model

In this model, the addition is performed on a number line.
For example, to calculate 3 + 4,
(1) draw an arrow with length 3 starting at 0.

(2) draw an arrow with length 4 starting from the end
of the previous arrow.

(3) the sum is then the length of the two arrows
combined together this way.



0    1     2    3     4    5     6    7      8          9

                                          © iTutor. 2000-2013. All Rights Reserved
Count From A Number Upwards
 Example: 6 + 3

     Think "6 ... 7, 8, 9"

Jump Strategy
  You can also count by 2s or 10s, or make any "jumps"
 you want to help you to solve a calculation.
  Example: 4 + 12


  Think "4 ... 14, 15, 16"

                                         © iTutor. 2000-2013. All Rights Reserved
Alternative number line model for
addition
In this model, a bunny is sitting above the number 0
(which is its home base) facing right (which is the positive
direction), and will jump forward if it has to perform an
addition problem.




0      1      2       3      4       5        6               7


                                          © iTutor. 2000-2013. All Rights Reserved
Example : 2 + 4
1. Our rabbit starts at 0 facing right.

2. It then hops forward 2 units because
   it sees 2 in the beginning.




0      1      2      3       4       5        6               7


                                          © iTutor. 2000-2013. All Rights Reserved
Example : 2 + 4
1. Our rabbit starts at 0 facing right.

2. It then hops forward 2 units because
   it sees 2 in the beginning.




0      1      2      3       4       5        6               7


                                          © iTutor. 2000-2013. All Rights Reserved
Example : 2 + 4
1. Our rabbit starts at 0 facing right.

2. It then hops forward 2 units because
   it sees 2 in the beginning.




0      1      2      3       4       5        6               7


                                          © iTutor. 2000-2013. All Rights Reserved
Example : 2 + 4
1. Our rabbit starts at 0 facing right.

2. It then hops forward 2 units because
   it sees 2 in the beginning.
3. After this the bunny has to jump 4 more steps
   forward because it sees +4




0      1      2      3       4       5        6               7


                                          © iTutor. 2000-2013. All Rights Reserved
Example : 2 + 4
1. Our rabbit starts at 0 facing right.

2. It then hops forward 2 units because
   it sees 2 in the beginning.
3. After this the bunny has to jump 4 more steps
    forward because it sees + 4.




0      1      2      3       4       5        6               7


                                          © iTutor. 2000-2013. All Rights Reserved
Example : 2 + 4
1. Our rabbit starts at 0 facing right.

2. It then hops forward 2 units because it sees 2 in
   the beginning.
3. After this the bunny has to jump 4 more steps
   forward because it sees + 4.
    Since the bunny finally stops at 6, we know that 2 + 4 = 6.




0          1          2        3          4         5          6               7


                                                           © iTutor. 2000-2013. All Rights Reserved
Names
Other names for Addition are :
   Sum
   Plus
   Increase
   Total
And the numbers to be added together are called the
"Addends":




                                          © iTutor. 2000-2013. All Rights Reserved
Adding numbers with two digits
 Adding numbers with 1 digit is pretty straight forward.
 In general, you can do it mentally or use your fingers.
 Adding zero to a number never changes the number.

For Addition
  Step 1: Add the one’s place number and take the carry to
          the next step.

  Step 2: Add the ten’s place number and also add the
          carry and over the new carry to the next step.
          Continue this process for every place in the given
          number.

                                            © iTutor. 2000-2013. All Rights Reserved
Handy rules for Addition:
    a) Add the rightmost column. If this column contains only one
       digit, we just write that digit under the column we are adding.
    b) We need to go on to the next column and repeat the same
       procedure.




In the above, we add the ones column first. Then, we carry over the tens to the tens
column. The 1 that we carry over has a place value of 10. However, there is no need to
write 10 because as we saw before in place value putting a 1 here in the tens place
means that there is 1 ten.
                                                            © iTutor. 2000-2013. All Rights Reserved
A man sold 230 balloons at a carnival in
the morning. He sold another 86
balloons in the evening.


a) How many balloons did he sell in all?


       Morning          Afternoon


         230              86

                 ?
                                    © iTutor. 2000-2013. All Rights Reserved
A man sold 230 balloons at a carnival in the morning. He sold
another 86 balloons in the evening. How many did he sell in all?

   Hundreds                   Tens                       Ones




      3                        1                            6
                                                 © iTutor. 2000-2013. All Rights Reserved
Addition (count)
          Adding in columns
        • Adding in columns - Uses no equal sign

            5              897
           +5            + 368
                                         Answer is called “sum”.
           10             1265
           Simple       Complex




                                               © iTutor. 2000-2013. All Rights Reserved
www.itutor.com




 The End

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Basic math (addition)

  • 1. Basic Math Counting and Addition By iTutor.com T- 1-855-694-8886 Email- info@iTutor.com
  • 2. Counting One 1 Two 2 Three 3 Four 4 Five 5 © iTutor. 2000-2013. All Rights Reserved
  • 3. Six 6 Seven 7 Eight 8 Nine 9 Ten 10 © iTutor. 2000-2013. All Rights Reserved
  • 4. Addition Addition is .. ... bringing two or more numbers (or things) together to make a new total Here 1 ball is added to 1 ball to make 2 balls: "One plus one And in words it is: equals two" 3+2=5 © iTutor. 2000-2013. All Rights Reserved
  • 5. WHOLE NUMBERS Addition Number Line • Number Line - Shows numerals in order of value Adding on the Number Line • Adding on the Number Line (2 + 3 = 5) Adding with pictures • Adding with pictures © iTutor. 2000-2013. All Rights Reserved
  • 6. Addition of whole numbers Set Model To find “2 + 3”, one with 2 objects and the other with 3 objects, form their union, and count the total. (click to see animation) © iTutor. 2000-2013. All Rights Reserved
  • 7. Measurement Model In this model, the addition is performed on a number line. For example, to calculate 3 + 4, (1) draw an arrow with length 3 starting at 0. (2) draw an arrow with length 4 starting from the end of the previous arrow. (3) the sum is then the length of the two arrows combined together this way. 0 1 2 3 4 5 6 7 8 9 © iTutor. 2000-2013. All Rights Reserved
  • 8. Count From A Number Upwards Example: 6 + 3 Think "6 ... 7, 8, 9" Jump Strategy You can also count by 2s or 10s, or make any "jumps" you want to help you to solve a calculation. Example: 4 + 12 Think "4 ... 14, 15, 16" © iTutor. 2000-2013. All Rights Reserved
  • 9. Alternative number line model for addition In this model, a bunny is sitting above the number 0 (which is its home base) facing right (which is the positive direction), and will jump forward if it has to perform an addition problem. 0 1 2 3 4 5 6 7 © iTutor. 2000-2013. All Rights Reserved
  • 10. Example : 2 + 4 1. Our rabbit starts at 0 facing right. 2. It then hops forward 2 units because it sees 2 in the beginning. 0 1 2 3 4 5 6 7 © iTutor. 2000-2013. All Rights Reserved
  • 11. Example : 2 + 4 1. Our rabbit starts at 0 facing right. 2. It then hops forward 2 units because it sees 2 in the beginning. 0 1 2 3 4 5 6 7 © iTutor. 2000-2013. All Rights Reserved
  • 12. Example : 2 + 4 1. Our rabbit starts at 0 facing right. 2. It then hops forward 2 units because it sees 2 in the beginning. 0 1 2 3 4 5 6 7 © iTutor. 2000-2013. All Rights Reserved
  • 13. Example : 2 + 4 1. Our rabbit starts at 0 facing right. 2. It then hops forward 2 units because it sees 2 in the beginning. 3. After this the bunny has to jump 4 more steps forward because it sees +4 0 1 2 3 4 5 6 7 © iTutor. 2000-2013. All Rights Reserved
  • 14. Example : 2 + 4 1. Our rabbit starts at 0 facing right. 2. It then hops forward 2 units because it sees 2 in the beginning. 3. After this the bunny has to jump 4 more steps forward because it sees + 4. 0 1 2 3 4 5 6 7 © iTutor. 2000-2013. All Rights Reserved
  • 15. Example : 2 + 4 1. Our rabbit starts at 0 facing right. 2. It then hops forward 2 units because it sees 2 in the beginning. 3. After this the bunny has to jump 4 more steps forward because it sees + 4. Since the bunny finally stops at 6, we know that 2 + 4 = 6. 0 1 2 3 4 5 6 7 © iTutor. 2000-2013. All Rights Reserved
  • 16. Names Other names for Addition are :  Sum  Plus  Increase  Total And the numbers to be added together are called the "Addends": © iTutor. 2000-2013. All Rights Reserved
  • 17. Adding numbers with two digits  Adding numbers with 1 digit is pretty straight forward.  In general, you can do it mentally or use your fingers.  Adding zero to a number never changes the number. For Addition Step 1: Add the one’s place number and take the carry to the next step. Step 2: Add the ten’s place number and also add the carry and over the new carry to the next step. Continue this process for every place in the given number. © iTutor. 2000-2013. All Rights Reserved
  • 18. Handy rules for Addition: a) Add the rightmost column. If this column contains only one digit, we just write that digit under the column we are adding. b) We need to go on to the next column and repeat the same procedure. In the above, we add the ones column first. Then, we carry over the tens to the tens column. The 1 that we carry over has a place value of 10. However, there is no need to write 10 because as we saw before in place value putting a 1 here in the tens place means that there is 1 ten. © iTutor. 2000-2013. All Rights Reserved
  • 19. A man sold 230 balloons at a carnival in the morning. He sold another 86 balloons in the evening. a) How many balloons did he sell in all? Morning Afternoon 230 86 ? © iTutor. 2000-2013. All Rights Reserved
  • 20. A man sold 230 balloons at a carnival in the morning. He sold another 86 balloons in the evening. How many did he sell in all? Hundreds Tens Ones 3 1 6 © iTutor. 2000-2013. All Rights Reserved
  • 21. Addition (count) Adding in columns • Adding in columns - Uses no equal sign 5 897 +5 + 368 Answer is called “sum”. 10 1265 Simple Complex © iTutor. 2000-2013. All Rights Reserved