1. Math Basics
AF 1.3

2. Objective - To understand some BASIC rules of mathematics Objective - To reason with diagrams.

3.  The SIGN goes with the TERM!
BIG RULES of MATH
 The SIGN goes with the TERM!
 No Double Signs!

4. The SIGN goes with the TERM!
Think of EACH TERM individually.
Example: ─ 7
This should NOT be thought of as 5 PLUS 3 MINUS 7
But rather as a POSITIVE 5, a POSITIVE 3, and a NEGATIVE 7

5. To remove double signs, use the Alien Face.
The Alien Face is also used when multiplying or dividing numbers with different signs. ▬ 

6. Adding & Subtracting Integers
Example: 15 +(– 22) –(–13) – 4
15 – – 4
Step 1: Get rid of Double signs!
Step 2: Circle each term.
Remember: The sign goes with the term.
Step 3: Put each term in the correct column.
Step 4: Add each column.
Step 5: Decide winning team
Step 6: Determine the spread.
(big number – small number) - + 22 15 4 13 26 28
Winning team: +
Spread: 28 – 26 2
Answer: +2

7. Adding & Subtracting Integers
Example: 14 – – 9
Step 1: Circle each term.
Remember: The sign goes with the term.
Step 2: Put each term in the correct column.
Step 3: Add each column.
Step 4: Decide winning team
Step 5: Determine the spread.
(big number – small number) - + 27 14 9 5 36 19
Winning team: –
Spread: 36 – 19 17
Answer: – 17

8. Winning team: NO WINNER
A Tie?
Example: 13 – – 8
Step 1: Circle each term.
Remember: The sign goes with the term.
Step 2: Put each term in the correct column.
Step 3: Add each column.
Step 4: Decide winning team
Step 5: Determine the spread.
(big number – small number)
A tie means the answer is zero! - + 12 13 8 7 20 20
Winning team: NO WINNER
Spread: 20 – 20
Answer: 0

9. Try These
– (– 5) –(– 8) + 9 – 5 – 3 +(–16) –(+7) –(–13)

10. Word Problems – OH NO!
The temperature at 4 pm Tuesday was 14° Fahrenheit. By 6 am Wednesday, the temperature had dropped 21°. What was the temperature?

11. Word Problems – OH NO!
The temperature at 5 am was -5°F. At 3 pm the temperature raised 12°. What is the temperature at 3pm?

12. Word Problems – OH NO!

13. Order of Operations PEMDAS
PARENTHESES
EXPONENTS
MULTIPLICATION or DIVISION (left to right)
ADDITION or SUBTRACTION (left to right)

14. Try these!

15. Round each number to the place indicated:

16. Order of Operations: Place Value Chart: PARENTHESES EXPONENTS
MULTIPLICATION or DIVISION (left to right)
ADDITION or SUBTRACTION (left to right)
Place Value Chart: