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
THAT’S ODD
THE CHEF’S HOT AND
COLD CUBES
DO IT THE CHEF’S WAY
YOU’RE THE CHEF
RULES, RULES, RULES
ANOTHER IN-OUTER
A PROTRACTED
ENGAGEMENT
DIAGONALLY SPEAKING
DEGREE DISCOVERY
POLYGON ANGLES
A PROOF GONE BAD
AN ANGULAR SUMMARY
SQUARES AND SCOOPS
THE GARDEN BORDER
BORDER VARIETIES
STUMP YOUR FRIEND
CUTTING THROUGH THE
LAYERS
PATTERNS PORTFOLIO
• COVER LETTER
• SELECTED PAPERS
• COVER
• SIGNED PARENT FORM
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
WHO’S WHO?
• WHO WAS THE NINTH
GRADER?
• THE TENTH GRADER?
• THE ELEVENTH GRADER?
• HOW WERE THEY SEATED?
DESCRIBING PATTERNS
• WRITE DOWN A
DESCRIPTION OF THE
PATTERN
• GIVE AT LEAST THE NEXT 3
TERMS
INSIDE OUT
• EXPRESS EACH RULE AS A
COMPLETE SENTENCE
• EXPRESS IN TERMS OF “IN”
AND “OUT”
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
UNCERTAIN ANSWERS
• PEMDAS: ORDER OF OPERATIONS
• PARENTHESES
• EXPONENTS
• MULTIPLY OR DIVIDE
• ADD OR SUBTRACT
CONSECUTIVE SUMS
• EXAMPLES :
2+3+4
8+9+10+11
23+24
6+7+8+9+10
PULLING OUT RULES
• WRITE A RULE IN A
COMPLETE SENTENCE FOR
EACH INOUT TABLE
ADD IT UP
• WRITE OUT EACH PROBLEM AS
A STRING OF NUMBERS ADDED
TOGETHER
• USE SUMMATION NOTATION TO
EXPRESS THE SUMS
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
THE CHEF’S HOT AND
COLD CUBES
• HOT IS POSITIVE
• COLD IS NEGATIVE
•TAKING AWAY BUNCHES IS
NEGATIVE
•ADDING BUNCHES IS POSITIVE
DO IT THE CHEF’S WAY
• EXPLAIN IN TERMS OF HOT
AND COLD CUBES
YOU’RE THE CHEF
• WRITE A PARAGRAPH
• EXPLAIN IN TERMS OF HOT
AND COLD CUBES
• INCLUDE EXAMPLES
RULES, RULES, RULES
• #1 FIND AT LEAST TEN
RULES
•#2 FIND AS MANY RULES
AS YOU CAN
ANOTHER IN-OUTER
• FIND EACH OF THE MISSING
ITEMS IN EACH INOUT
TABLE
• GIVE A DESCRIPTION IN
WORDS USING “IN” AND
“OUT”
A PROTRACTED
ENGAGEMENT
• WHAT DOES THIS MESSAGE
SAY?
SOMETHING
DIAGONALLY SPEAKING
• DEFINITION OF DIAGONAL:
LINE SEGMENT THAT
CONNECTS TWO VERTICES
OF A POLYGON BUT IS NOT
THE SIDE OF THE POLYGON
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?
POLYGON ANGLES
• NOW EXPERIMENT WITH
OTHER POLYGONS:
• PENTAGON
• HEXAGON
• SEPTAGON
• OCTAGON
A PROOF GONE BAD
• A QUADRILATERAL HAS A
SUM OF 360 DEGREES.
• EXPLAIN WHAT WENT
WRONG WITH JERRY’S PROOF
AN ANGULAR SUMMARY
• A REGULAR POLYGON IS A
POLYGON THAT HAS ALL OF
ITS ANGLES EQUAL AND ALL
OF ITS SIDES EQUAL
SQUARES AND SCOOPS
• SQUARES
PASCALS TRIANGLE
•SCOOPS
FACTORIAL
BORDER VARIETIES
• WRITE A FORMULA USING S
TO REPRESENT THE LENGTH
OF ONE SIDE OF THE
GARDEN
CUTTING THROUGH THE
LAYERS
RULE:
LAYERS X CUTS + 1