1. Name:________________________________________________________________________________Date:_____/_____/__________ Fill-in-the-Blanks: 1)When adding SAME signs, we _____ and keep the sign. 2)When adding DIFFERENT signs, we ___________ and keep the sign of the larger _______________________. 3) All subtraction problems can be re-written as ___________ problems because subtracting is also adding the _____________. Change the following subtraction problems into addition problems (KCC): Evaluate (mix of both addition and subtraction problems): 4) 5 – 115) 2 – (-4)6) -5 – 9 7) 8 – 20 = _____8) -25 + 19= ____9)-5 – (-9) =_____ 10) -50 + 60 = ____11) -2 – 11 = ____12) 20 – ( -8) = ___ ONLY use KCC for SUBTRACTION!! QUIZ DAY!

2. Add or Subtract (use KCC for subtraction problems ONLY): “Practice and Subtraction Modeling” Extra PRACTICE/ classwork NAME:________________________________________________________________________________DATE: _____/_____/__________ 1) -30 + 6 =2) -98 + (-2) =3) 3 – 20 =4) -40 – (-10) = 5) -37 – 3 =6) 5 + (-105) =7) -44 + (-16) =8)-20 – 50 = 9) 100 – (-80) =10) -42 – 50 =11) -89 + (-11) =12)9 – (- 21) = What about models with subtraction?? Model the following subtraction problems with a number line: 13) -2 – 4 = 14) -3 – (-5) = Model the following subtraction problems with the algebra tile method: 15) -5 – 4 =16) 3 – (-4) =

3. Today’s Lesson: What: Multiplying and dividing integers Why: To establish the rules for multiplying and dividing integers. What: Multiplying and dividing integers Why: To establish the rules for multiplying and dividing integers.

4. 3(-3) = ___ 2(____) = -10 Three groups of negative 3 is -9! Two groups of negative 5 is -10! Models for multiplication and division: -9 5

5. - -- - -- What other problem is this a model of ??? Algebra tile (integer chip) models: 2 x _____ = -6 _____ ÷ 2 = _____ -3 -6 -3

6. Rules for multiplying And dividing integers: SAME SIGNS ____________ _ ANSWER 3 ● 4 = 12 -3 ●-4 = 12 DIFFERENT SIGNS ____________ _ ANSWER -3 ● 4 = -12 3 ● -4 = -12 POSITIVENEGATIVE 6 ÷ 3 = 2 -6 ÷ -3 =2 -6 ÷ 3 = -2 6 ÷ -3 = -2 Don’t confuse these rules with the addition rules!

7. Multiplication/ division memory “tricks”: Make a Tic-Tac-Toe Board with “P’s” in the diagonal and “N’s” in all the other spaces. Read board in any direction— up, down, left, right, diagonal– from the outside in, and it will give you the right answer. P= positive N= negative Fill in your letters...

8. Smiley Face Method: Smile = _________________ answer Frown =_________________ answer We like to sleep! We don’t like to be hit in the eye! + - - + POSITIVE NEGATIVE + -

9. Evaluate the following examples: 1. 8(-6) =2. -12(-4) = 3. -11 ∙ 7 = 4. 48 ÷ - 4 =5. -28 / -7 =6. 150 / -5 = 7.21(-8) =8. -56 / 8 = 9. 25.2 ∙ 3.5 = -4848-77 -12 4 -30 -168-7 88.2

10. END OF LESSON The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed. NOTE: The last slide(s) in any lesson slideshow represent the homework assigned for that day.

11. Models for multiplication and division: Math-7 NOTES DATE: ______/_______/_______ What: Multiplying and dividing integers Why: To establish the rules for multiplying and dividing integers. What: Multiplying and dividing integers Why: To establish the rules for multiplying and dividing integers. NAME: 2(____) = -10 3(-3) = ____ Three groups of negative 3 is -9! Two groups of negative 5 is -10! Rules for multiplying And dividing integers: SAME SIGNS ________ ANSWER 3 ● 4 = 12 -3 ● -4 = 12 DIFFERENT SIGNS _________ ANSWER -3 ● 4 = -12 3 ● -4 = -12 Algebra tile (integer chip) models: - - - - -- 2 x _____ = -6 What other problem is this a model of ??? 6 ÷ 3 = 2 -6 ÷ -3 = 2 -6 ÷ 3 = -2 6 ÷ -3 = -2 _____ ÷ 2 = _____

12. Multiplication/ division memory “tricks”: + - + + -- Evaluate the following examples: 1. 8(-6) =2. -12(-4) =3. -11 ∙ 7 = 4. 48 ÷ - 4 =5. -28 / -7 =6. 150 / -5 = 7. 21(-8) =8. -56 / 8 =9. 25.2 ∙ 3.5 = Make a Tic-Tac-Toe Board with “P’s” in the diagonal and “N’s” in all the other spaces. Read board in any direction— up, down, left, right, diagonal– from the outside in, and it will give you the right answer. Smiley Face Method: Smile = __________ answer Frown= __________ answer We like to sleep! We don’t like to be hit in the eye! P= positive N= negative

13. NAME:________________________________________________________________________________DATE: _____/_____/__________ Math-7 homework “Multiplying/ Dividing Integers” 17) 3(-2) = 18) 2(-4) = Model the following multiplication problems on the given number lines: Model the following multiplication/division problems with algebra tiles (integer chips): 19) 3(-4) = ___ 20) -8 ÷ 4 ___