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PATTERNS

PATTERNS. IN OUT TABLES ANGLE FORMUALS SUMMATION NOTATION INTEGERS. PAST EXPERIENCES. WHO’S WHO?. DESCRIBING PATTERNS. THE BROKEN EGGS. POW BEGINNINGS. INSIDE OUT. GETTING’ ON DOWN TO ONE. MARCELLA’S BAGELS. UNCERTAIN ANSWERS. CONSECUTIVE SUMS. PULLING OUT RULES. ADD IT UP.

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PATTERNS

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  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

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