1. Substitute in values and estimate …

2. Estimate 49ab + 531c for a = 259, b = 37, and c = 192 49  259  37 + 531  192 S2: Round numbers 50  300  40 + 500  200 S3: Perform Operations = 15,000  40 + 100,000 = 600,000 + 100,000 = 700,000 49  a  b + 531  c S1: Substitute numbers

3. Operations with Positive and Negative Numbers …

4. - 4 + - 9 =- 13

5. + + “Neutral Pairs”

6. ++++ -3 + 4 =1

7. – 8 10 = Change (sign) - Keep Change (operation) + ++++++++ - 2 Use “keep-change- change” ~ only to change subtraction to addition.

8. - 9 ( 4) + 2 = – - + Keep Change (operation) Change (sign) + ++++ - 3 ++ “Hey, have you ever heard of a double negative in English class?”

9. A football team made the following yardage on five plays: lost 4, gained 16, gained 9, lost 8, and lost 4. What was the net yardage on the 5 plays? - 4 + 16 + 9 – 8 – 4= - 4 + 16 + 9 + - 8 + - 4 If you like “keep change change” = 12 + 9 + - 8 + - 4 = 21 + - 8 + - 4= 13 + - 4= + 9 Click here for visual tiles

10. - 4 + 16 + 9 – 8 – 4 =- 4 + 16 + 9 + - 8 + - 4 +++++++++ +++++++ +++++++++ Back to Slide Show = 9

11. 124(3) = means “4 groups of 3” ++ + ++ + ++ + ++ + Group 1Group 2Group 3Group 4

12. 5(-4) = Group 1Group 2Group 3 Group 4Group 5 -20 means “5 groups of -4”

13. Why is a negative # times a negative # equal to a positive #? 3(-4) = -12 2(-4) = - 8 1(-4) = - 4 0(-4) = 0 -1(-4) = 4 3(4) = 12 2(4) = 8 1(4) = 4 0(4) = 0 -1(4) = -4 -2(4) = -8-2(-4) = 8 ? ?

14. Evaluate 5 – 2xy + 3x if x = -4 and y = -5

15. Word Problems With Percentages …

16. A sporting goods store advertises a $35 football at a 33% discount. What will be the sale price? ANSWER: $23.45

17. A TV regularly sells for $255. It is advertised at a 20% discount. Find the total cost of the TV including a 7% sales tax. ANSWER: $218.28

18. John is paid a weekly salary of $350 plus a commission of 12% of all is sales for the week. He sells $1,562 worth of TV’s this week. He works 5 days a week. What are his average daily earnings for the week?

19. Weekly salary + 12% commission = 350 +.12(1,562) Written as decimal 12% “of” weekly sales = 350 + 187.44= $ 537.44 Ooops! This isn’t the final answer! This represents his whole week. Average daily earnings = 537.44/5 = $107.49

20. Gina chose a shade of green paint called Spring Green. The directions to make any quantity of this shade calls for 3 parts blue paint to 5 parts yellow paint. If Gina makes 16 ounces of Spring Green paint, how many ounces of blue paint will she use? Blank Slide ANSWER: 6 ounces