1. find the slope of this line. …today’s objective is a mystery! simplify (-5) 2 a 3 a 2 Page XX of your INB

3. ITEMS of BUSINESS REWORK is due Friday Feb 27 & Monday March 2. Last day to retake Ch 10 Test is Monday March 9 th.

4. 13.1 Contract & Expand Expressions

5. Compute please. 7 ÷7 8 ÷ 8 13 5 4 11 ÷ 5 ÷ 4 ÷ 11 Should you SIMPLIFY? Why not? Makes less work. Easier to calculate. Less likely to make mistakes. WHY? Rearrange. Combine. Eliminate. HOW? Would you?Could you?

6. Let’s review your homework. BIG IDEA #1BIG IDEA #2 ab = ba 34 = 43 7m = m7 kyz = zky COMMUTATIVE PROPERTY

7. SIMPLIFY. Then compute. 7 ÷7 8 ÷ 8 13 5 4 11 ÷ 5 ÷ 4 ÷ 11

8. CHECK YOUR HOMEWORK

9. BIG IDEA 1 2 or 1 + 2 2 2 Which is “ok” to do? Justify your answer. 15. It’s “ok” to cancel with PRODUCTS but NOT WITH SUMS! 2 = 1 3 ≠ 1 2

10. BIG IDEA 2 vs. 3 2 3 2 2 2 vs. 1 2 1 2 2

11. No groups today. simplify (-5) 2 a 3 a 2 Page XX of your INB Take notes.

12. Which would you choose? Day 1: 3¢ Day 2: 3 ¢ x 3 ¢ = 9¢ Day 3: 3 ¢ x 3 ¢ x 3 ¢ = 27¢ Day 4: 3 ¢ x 3 ¢ x 3 ¢ x 3 ¢ = 81¢ Day 1: $3 million Day 2: $3 + 3= $6 million Day 3: $3+$3+$3= $9 mil Day 5: 3 5 = 243¢ = $2.43 Day 6: 3 6 = 729¢ = $7.29

13. Which would you choose? Day 10: 3x10=$30 mil Day 10: 3 10 = Day 15: 3x15=$45 mil Day 15: 3 15 = Day 20: 3x20=$60 mil Day 20: 3 20 = Day 25: 3x25=$75 mil Day 25: 3 25 = Day 30: 3x30=$90 mil Day 30: 3 30 = $590.49 $143,489.07 ≈$8½ BILLION! ≈ $35 MILLION $34,867,844.01 $8,472,886,094.43 $2,059,811,320,946.49 ≈$2 TRILLION!

14. MORAL of the story...

15. PARTNER PROOFS Use your calculator to compute: 12 5 = 248,832 5 12 = 244,140,625 3 8 = 6,561 ½ 19 = 0.000001907

16. Take notes. Write this down. Hurry!! 7 7 7 7 7 7 7 7 yyyyyyyyyy 7 8 y 10 EXPONENTS are short-hand for repeated MULTIPLICATION.

17. Do problems 1-7 HOMEWORK PROBLEMS

18. Do problems 8-12 HOMEWORK PROBLEMS 12. 4 4 4 4 = 4 4 4 4 4

19. MAKING COMPARISONS How much bigger is than We make comparisons by DIVISION.

20. Do problems 13-16 HOMEWORK PROBLEMS

21. Remember our story?

22. OR

23. Exponents are CLINGY. They CLING only to the number they are next to.

24. Use your communicators! 2323 = 222 a3a3 = a a a 5m 3 = 5mmm (5m) 3 = 5m5m5m 5a 3 b = 5aaab 5a 3 b 3 = 5aaabbb (5a) 3 b 3 = 5a5a5abbb 32m3n432m3n4 = 33mmmnnnn

25. Use your communicators! 2 = 22 = 4 -2 2 = - 22 = -4 (-2) 2 = (- 2)(-2) = 4 (-2m) 2 = (- 2m)(-2m) = 4m2

26. Use your communicators! -4 2 = - 44 = -16 (-4) 2 = (-4)(-4)= 16 -3a 2 = -3aa = -3a 2 (-3a) 2 = (-3a)(-3a) = 9a 2

27. HOMEWORK PROBLEMS Do problems 17-22

28. HOMEWORK PROBLEMS

30. simplify (-5) 2 a 3 a 2

31. SHOW YOUR WORK Worksheet 13.1 Expand & Contract Expressions