Transcript PATTERNING WITH NUMBERS

AGGEEENNNNDDDDDAAAAAA
 Power point
 website- attribute game:
http://setgame.com/set/puzzle_frame.htm
attribute blocks
 differ by one attribute
 differ by two attributes
 patterning blocks
 checker board
 clapping patterns
DEFINING… PATTERNS
DEFINING…ATTRIBUTES
REPEATING PATTERNS
Where the attributes are repeated in some
manner. i.e., red burst, red burst, white
burst, red burst, red burst, white burst,…
Denoted by an AAB AAB …
GROWING PATTERNS
‘Sequences’ whereby there is growth in
the number of items from one set to the
next. This helps to develop an algebraic
understanding.
NUMBER PATTERNS
Many patterns are observed with
numbers:
Give the next three items in the pattern and
provide the rule (try to do so in algebraic terms):
3, 6, 9, 12,…
1, 4, 9, 16, …
23, 11, 5, 2, …
2, 6, 12, 20, 30, …
PATTERNING
 Using: blocks, beads,
pasta, stamps, colours,
people, cards, etc.
(Millie’s Math House (bing and bong) , Mathville Kidway
(crane, movie))
 Using hundred boards
 Using calculators
 Using music, dance…
http://standards.nctm.org/document/eexamples/chap4/4.5/index.htm
PATTERNING PROCESS
• Copy a pattern using one attribute
• (Copy a pattern using more than one
attributes)
• Extend a pattern using one attribute
• (Extend a pattern using more than one
attributes)
• Create a pattern using one attribute
• (Create a pattern using more than one
attributes)
• Transferring a pattern from one form to
another
ATTRIBUTE BLOCKS
• MAKE A CHAIN OF THE BLOCKS
WHEREBY EACH SUBSEQUENT
BLOCK CHANGES BY ONE ATTRIBUTE
ONLY…
• NOW TWO ATTRIBUTES
• NOW THREE ATRIBUTES
Cee Cee, MY PLAYMATE
Cee Cee, MY PLAY MATE,
COME OUT AND PLAY WITH ME
AND BRING YOUR DOLLY’S THREE,
CLIMB UP MY APPLE TREE.
SLIDE DOWN MY RAINBOW
INTO MY CELLAR DOOR
AND WE’LL BE JOLLY FRIENDS
FOR EVERMORE, MORE, MORE, MORE, MORE
MORE!
The Clapping
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Self clap
Right hands clap
Self clap
Left hands clap
Self clap (x2)
Back clap
Front clap
• repeat
D’Hammer
Thighs
Stomach
Self clap
Right
Left
Both
PATTERNING WITH DIVISION
(THE USE OF A CALCULATOR. HMMMMMM)
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1/1 = 1.00
1/2 = 0.50
1/3 = 0.33
1/4 = 0.25
1/5 = 0.20
1/6 = 0.167
1/7 = 0.142857 TRY 2/7 AND 3/7 AND 4/7…
1/8 = 0.125
1/9 = 0.111 TRY 2/9 AND 3/9 AND 4/9…
1/10= 0.10
1/11= 0.0909 TRY 2/11 AND 3/11 AND 4/11
TRY FOR ALL NUMBERS FROM 12- 19 ON A CHART
MYSTERIOUS 7’S
1/7 = 0.142857
2/7 = 0.285714
3/7 = 0.428571
Based upon the pattern above, determine:
4/7 =
5/7 =
6/7 =
Consecutive odd numbers
1
1+3=
1+3+5=
1+3+5+7=
Predict the next three sums.
Consecutive odd numbers
(cont’d)
1
35
7 9 11
13 15 17 19
21 23 25 27 29
Add the horizontal rows. What do you notice?
What if you use consecutive even numbers?
1. Grab a calculator.
2. Key in the first three digits of your phone
number (NOT the area code)
3. Multiply by 80
4. Add 1
5. Multiply by 250
6. Add the last 4 digits of your phone number
7. Add the last 4 digits of your phone number
again.
8. Subtract 250
9. Divide number by 2
Do you recognize the answer?
CRAZY CUPS!