PATTERNS

1
PATTERNS

• IN OUT TABLES
• ANGLE FORMUALS
• SUMMATION NOTATION
• INTEGERS

2
PAST EXPERIENCES
3
WHOS WHO?
4
DESCRIBING PATTERNS
5
THE BROKEN EGGS
6
POW BEGINNINGS
7
INSIDE OUT
8
GETTING ON DOWN TO ONE
9
MARCELLAS BAGELS
10
UNCERTAIN ANSWERS
11
CONSECUTIVE SUMS
12
PULLING OUT RULES
13
ADD IT UP
14
THATS ODD
15
THE CHEFS HOT AND COLD CUBES
16
DO IT THE CHEFS WAY
17
YOURE 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 YOURE GROUP EXPERIENCES WITH YOURE
  EXPERIENCES WORKING ALONE

33
WHOS 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
• 234
• 891011
• 2324
• 678910

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
THATS 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 CHEFS HOT AND COLD CUBES

• HOT IS POSITIVE
• COLD IS NEGATIVE

• TAKING AWAY BUNCHES IS NEGATIVE
• ADDING BUNCHES IS POSITIVE

43
DO IT THE CHEFS WAY

• EXPLAIN IN TERMS OF HOT AND COLD CUBES

44
YOURE 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 JERRYS 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