Basic math (addition)

1. Math Counting and Addition Basic By iTutor.com T- 1-855-694-8886 Email- [email protected]

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 : And in words it is :   "One plus one equals two" 3 + 2 = 5 © iTutor . 2000-2013. All Rights Reserved

5. Number Line - Shows numerals in order of value Adding on the Number Line (2 + 3 = 5) Adding with pictures WHOLE NUMBERS Addition Number Line Adding on the Number Line 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 1 2 3 4 5 6 7 8 9 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. © iTutor . 2000-2013. All Rights Reserved

8. Count From A Number Upwards Example : 6 + 3 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 "6 ... 7, 8, 9" 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. 1 2 3 4 5 6 7 © iTutor . 2000-2013. All Rights Reserved

10. Example : 2 + 4 Our rabbit starts at 0 facing right. It then hops forward 2 units because it sees 2 in the beginning. 1 2 3 4 5 6 7 © iTutor . 2000-2013. All Rights Reserved

11. Example : 2 + 4 Our rabbit starts at 0 facing right. It then hops forward 2 units because it sees 2 in the beginning. 1 2 3 4 5 6 7 © iTutor . 2000-2013. All Rights Reserved

12. Example : 2 + 4 Our rabbit starts at 0 facing right. It then hops forward 2 units because it sees 2 in the beginning. 1 2 3 4 5 6 7 © iTutor . 2000-2013. All Rights Reserved

13. Example : 2 + 4 Our rabbit starts at 0 facing right. It then hops forward 2 units because it sees 2 in the beginning. 1 2 3 4 5 6 7 After this the bunny has to jump 4 more steps forward because it sees +4 © iTutor . 2000-2013. All Rights Reserved

14. Example : 2 + 4 Our rabbit starts at 0 facing right. It then hops forward 2 units because it sees 2 in the beginning. 1 2 3 4 5 6 7 After this the bunny has to jump 4 more steps forward because it sees + 4. © iTutor . 2000-2013. All Rights Reserved

15. Example : 2 + 4 Our rabbit starts at 0 facing right. It then hops forward 2 units because it sees 2 in the beginning. 1 2 3 4 5 6 7 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. © 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: Add the rightmost column. If this column contains only one digit, we just write that digit under the column we are adding. 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. Morning 230 Afternoon 86 a) How many balloons did he sell in all? ? © iTutor . 2000-2013. All Rights Reserved

20. Hundreds Tens Ones 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? 3 1 6 © iTutor . 2000-2013. All Rights Reserved

21. Addition ( count ) Adding in columns - Uses no equal sign 5 + 5 10 897 + 368 1265 Simple Complex Answer is called “sum”. Adding in columns © iTutor . 2000-2013. All Rights Reserved

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