2. Put your Math Grade Up- Date and Probable 1 st Quarter Grade Sheet AND your 1 st Quarter Project or Assigned Replacement Quiz in the box on the back counter NOW !

3. You should HAVE OUT: u 1. PENCIL, PAPER and Possibly an Eraser. u 2. HOMEWORK.  PLEASE BE QUIET AFTER THE BELL RINGS!  GENEARALLY, NO CALCULATOR use this week!

4. Class/Homework Assignment - - Tuesday (11/1)  Get Math Grade Up- Date and Probable 1 st Quarter Grade Sheet reviewed with and signed by a parent or guardian.

5. Class/Homework Assignment - - Tuesday (11/1)  Pgs. 107-109: 18, 24, 36, 50, and 54. Generally NO CALCULATOR USE!  Finish 1 st Quarter Project or Assigned Replacement Quiz correction, completion and study.

6.  18. u | | | | | | | | | | | | | u -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5  24. -11, -9, -7, 1, 11 u 36. 8  50. > u 54. Shang Dynasty Pgs. 107-109:18, 24, 36, 50, 54.

7. Clear-Off-Desk except for: u PENCIL and one sheet of PAPER only! Please, Focus on the Lesson!

8.  Goal 1. You should review how to use absolute values to add two integers. u In this lesson you will study the rules for adding two integers. Adding Integers

9. u Rule  1.  1. To add two integers with the same sign, sign, add their absolute values and write the common sign. ADDING TWO INTEGERS ADDING TWO INTEGERS u Examples u 3 + 4 = 7 u -2 + (-6) = -8

10. u Rule  2.  2. To add two integers with different signs, signs, subtract the smaller absolute value from the larger absolute value. Write the answer with the sign of the larger absolute value. ADDING TWO INTEGERS ADDING TWO INTEGERS u Examples  -2 + 5 = 3 |5| - |-2| = 3 3 is positive because 5 is positive |5| - |-2| = 3 3 is positive because 5 is positive  1 + (-7) = - 6 |-7| - |1| = 6 6 is negative because 7 is negative |-7| - |1| = 6 6 is negative because 7 is negative

11. u Rule  3.  3. The sum of 0and any integer is that integer. ADDING TWO INTEGERS ADDING TWO INTEGERS u Example u 0 + (- 4) = - 4

12. u Rule  4.  4. The sum of any two opposite integers is 0. ADDING TWO INTEGERS ADDING TWO INTEGERS u Example u - 5 + 5 = 0

13. Example 1 Adding Integers with the Same Sign  a. The sum of two positive integers is positive. ä 4 + 5 = 9  b. The sum of two negative integers is negative.  -12 + (-3) = -15

14. Example 2 Adding Integers with Different Signs  a. The sum of 5 and -8 is negative because -8 has a greater absolute value. ä 5 + (-8) = - 3 Subtract 5 from 8. Write sign of - 8.

15. Example 2 Adding Integers with Different Signs  b. The sum of 6 and -6 is zero because both integers have the same absolute value and different signs.  6 + (-6) = 0 Sum of opposites is zero. Are there any questions about Adding Two Integers?

16.  Goal 2- You should learn how to add three or more integers. u You can model the addition of integers using a number line. u To add a positive number, move to the right. u To add a negative number, move to the left. Adding Three More Integers Adding Three or More Integers

17.  The sum of 3, -5, and 4 can be modeled as shown below. u | | | | | | | | | u - 4 - 3 - 2 - 1 0 1 2 3 4  Start at 3. 5 units left. 4 units right. Example 3 Modeling Addition with a Number Line Negative 5 units Positive 4 units

18.  Because you end at 2, it follows that: 3 + (-5) + 4 = 2.  3 + (-5) = -2 and -2 + 4 = 2 u or, since addition is commutative:  3 + 4 = 7 and 7 + (-5) = 2 Example 3 Modeling Addition with a Number Line

19.  Goal 3- You should learn how to simplify expressions by adding like terms.  In the expression -5 x + 2 x + 4, the numbers -5 and 2 are the coefficients of x. The terms -5 x and 2 x are like terms because their variable parts are the same. Adding Like Terms

20. like terms u like terms  -5 x + 2 x + 4 = -3 x + 4 coefficients unlike terms u coefficients unlike terms  Expression: 4(-6 n )  Expression: 4 n + (-6 n ) + 3  Distributive Property: [ 4(-6)] n  Distributive Property: [ 4 + (-6)] n + 3  Simplify: -2 n  Simplify: -2 n + 3 When you add like terms, you can add the coefficients.

21.  Expression: -57(-3 x )  Expression: -5 x + 7 x +(-3 x )  Distributive Property: [ -5(-3)] x  Distributive Property: [ -5 + 7 + (-3)] x  Simplify: - x When you add like terms, you can add the coefficients.

22. Example 4 Evaluating Expressions -1540(-16 x ) a. Simplify the expression: -15 x + 40 x + (-16 x )Solution  -1540(-16 x ) write problem  -15 x + 40 x + (-16 x ) write problem  = [-1540(-16)] x distributive property  = [-15 + 40 + (-16)] x distributive property  = 9 x simplify

23. Example 4 Evaluating Expressions b. Evaluate the expression when x = 2.Solution 2 9 x = 9(2) = 18.  When x = 2, the expression has the value of 9 x = 9(2) = 18. c. Evaluate the expression when x = 4.Solution 4 9 x = 9(4) = 36.  When x = 4, the expression has the value of 9 x = 9(4) = 36.

24. Example 5 Using Coefficients of 1 or -1 -53 Simplify the expression: - n + 5 n + 3Solution  -53 write problem  - n + 5 n + 3 write problem  = -153 coefficient of -n is -1  = -1 n + 5 n + 3 coefficient of -n is -1  = (-15)3 distributive property  = (-1 + 5) n + 3 distributive property  = 43 simplify  = 4 n + 3 simplify

25. Classwork: ä 930 Danny Dana ä 11/2 ä Math 7 - Dequer Pgs. 112-113:1, 8-9 & 31-32 1. Also do: Pgs.118-120: 1-13 & 50-52 GENERALLY, NO CALCULATOR USE THIS WEEK !

26. Classwork: ä 930 Danny Dana ä 11/2 ä Math 7 - Dequer Pgs. 118-120:1-13 &, 50-52 1. Also make sure you’ve done: Pgs. 112-113: 1, 8-9 & 31-32 GENERALLY, NO CALCULATOR USE THIS WEEK !

27.  1. C  8. 5 o C  9. Gain. 33 yd line.  31. A  32. F Pgs. 112-113:1, 8-9 & 31-32

28.  1. 15  2. -1  3. 6  4. -13 Pgs.118-120:1-13 & 50-52  5. 0  6. 12  7. -10  8. 1

29.  9. Sample Answer: u Student 1 is rearranging the terms to use the inverse property of addition. u Student 2 is rearranging the terms to group the positive terms and the negative terms. Pgs.118-120:1-13 & 50-52

30.  10. -3 x and 5 x are like terms; 4 and -7 are like terms; 2x - 3  11. 3x + 7; 19  12. 3x + 6; 18  13. 2x; 8 Pgs.118-120:1-13 & 50-52  50. C  51. G u 52. B

31. Class/Homework Assignment – Wednesday (11/2)  1. Pg. 112: 22 and 24  2. Pg. 119: 18, 24, 28, 30, 36, 42, and 44 u GENERALLY, NO CALCULATOR USE, even if it says to use a calculator.

32. Class/Homework Assignment – Wednesday (11/2)  3. Completing, correcting and studying for the Assigned Replacement Quiz to be taken tomorrow before school, at lunch, or after school. u Work Quietly and On- Your-Own.