1. PATTERNS IN OUT TABLES ANGLE FORMUALS SUMMATION NOTATION INTEGERS

2. PAST EXPERIENCES

3. WHO’S WHO?

4. DESCRIBING PATTERNS

5. THE BROKEN EGGS

6. POW BEGINNINGS

7. INSIDE OUT

8. GETTING’ ON DOWN TO ONE

9. MARCELLA’S BAGELS

10. UNCERTAIN ANSWERS

11. CONSECUTIVE SUMS

12. PULLING OUT RULES

13. ADD IT UP

14. THAT’S ODD

15. THE CHEF’S HOT AND COLD CUBES

16. DO IT THE CHEF’S WAY

17. YOU’RE THE CHEF

18. RULES, RULES, RULES

19. ANOTHER IN-OUTER

20. A PROTRACTED ENGAGEMENT

21. DIAGONALLY SPEAKING

22. DEGREE DISCOVERY

23. POLYGON ANGLES

24. A PROOF GONE BAD

25. AN ANGULAR SUMMARY

26. SQUARES AND SCOOPS

27. THE GARDEN BORDER

28. BORDER VARIETIES

29. STUMP YOUR FRIEND

30. CUTTING THROUGH THE LAYERS

31. PATTERNS PORTFOLIO COVER LETTER SELECTED PAPERS COVER SIGNED PARENT FORM

32. PAST EXPERIENCES CONSIDER ALL THE CLASSES YOU HAVE TAKEN BOTH IN MATH AND OTHERS COMPARE YOU’RE GROUP EXPERIENCES WITH YOU’RE EXPERIENCES WORKING ALONE

33. WHO’S WHO? WHO WAS THE NINTH GRADER? THE TENTH GRADER? THE ELEVENTH GRADER? HOW WERE THEY SEATED?

34. DESCRIBING PATTERNS WRITE DOWN A DESCRIPTION OF THE PATTERN GIVE AT LEAST THE NEXT 3 TERMS

35. INSIDE OUT EXPRESS EACH RULE AS A COMPLETE SENTENCE EXPRESS IN TERMS OF “IN” AND “OUT”

36. GETTING’ ON DOWN TO ONE IF THE CURRENT # IS ODD: MULTIPLY THE CURRENT # BY 3 AND ADD 1 IF THE CURRENT # IS EVEN: DIVIDE THE CURRENT # BY 2

37. UNCERTAIN ANSWERS PEMDAS: ORDER OF OPERATIONS PARENTHESES EXPONENTS MULTIPLY OR DIVIDE ADD OR SUBTRACT

38. CONSECUTIVE SUMS EXAMPLES : 2+3+4 8+9+10+11 23+24 6+7+8+9+10

39. PULLING OUT RULES WRITE A RULE IN A COMPLETE SENTENCE FOR EACH INOUT TABLE

40. ADD IT UP WRITE OUT EACH PROBLEM AS A STRING OF NUMBERS ADDED TOGETHER USE SUMMATION NOTATION TO EXPRESS THE SUMS

41. THAT’S ODD “ANY ODD NUMBER GREATER THAN 1 CAN BE WRITTEN AS THE SUM OF TWO CONSECUTIVE NUMBERS” REMEMBER: YOU ARE ONLY WORKING WITH POSITIVE WHOLE NUMBERS

42. THE CHEF’S HOT AND COLD CUBES HOT IS POSITIVE COLD IS NEGATIVE TAKING AWAY BUNCHES IS NEGATIVE ADDING BUNCHES IS POSITIVE

43. DO IT THE CHEF’S WAY EXPLAIN IN TERMS OF HOT AND COLD CUBES

44. YOU’RE THE CHEF WRITE A PARAGRAPH EXPLAIN IN TERMS OF HOT AND COLD CUBES INCLUDE EXAMPLES

45. RULES, RULES, RULES #1 FIND AT LEAST TEN RULES #2 FIND AS MANY RULES AS YOU CAN

46. ANOTHER IN-OUTER FIND EACH OF THE MISSING ITEMS IN EACH INOUT TABLE GIVE A DESCRIPTION IN WORDS USING “IN” AND “OUT”

47. A PROTRACTED ENGAGEMENT WHAT DOES THIS MESSAGE SAY? SOMETHING

48. DIAGONALLY SPEAKING DEFINITION OF DIAGONAL: LINE SEGMENT THAT CONNECTS TWO VERTICES OF A POLYGON BUT IS NOT THE SIDE OF THE POLYGON

49. DEGREE DISCOVERY WHAT DO THE SUM OF ANGLES OF A TRIANGLE ADD UP TO? WHAT DO THE SUM OF ANGLES OF A QUADRILATERAL ADD UP TO?

50. POLYGON ANGLES NOW EXPERIMENT WITH OTHER POLYGONS: PENTAGON HEXAGON SEPTAGON OCTAGON

51. A PROOF GONE BAD A QUADRILATERAL HAS A SUM OF 360 DEGREES. EXPLAIN WHAT WENT WRONG WITH JERRY’S PROOF

52. AN ANGULAR SUMMARY A REGULAR POLYGON IS A POLYGON THAT HAS ALL OF ITS ANGLES EQUAL AND ALL OF ITS SIDES EQUAL

53. SQUARES AND SCOOPS SQUARES PASCALS TRIANGLE SCOOPS FACTORIAL

54. BORDER VARIETIES WRITE A FORMULA USING S TO REPRESENT THE LENGTH OF ONE SIDE OF THE GARDEN

55. CUTTING THROUGH THE LAYERS RULE: LAYERS X CUTS + 1