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AGGEEENNNNDDDDDAAAAAA

Discover the fun of defining, growing, and identifying patterns with various attributes through engaging games and activities.

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AGGEEENNNNDDDDDAAAAAA

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  1. 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

  2. DEFINING… PATTERNS

  3. DEFINING…ATTRIBUTES

  4. 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 …

  5. 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.

  6. NUMBER PATTERNS Many patterns areobserved 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, …

  7. 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

  8. 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

  9. ATTRIBUTE BLOCKS • MAKE A CHAIN OF THE BLOCKS WHEREBY EACH SUBSEQUENT BLOCK CHANGES BY ONE ATTRIBUTE ONLY… • NOW TWO ATTRIBUTES • NOW THREE ATRIBUTES

  10. 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!

  11. The Clapping • Self clap • Right hands clap • Self clap • Left hands clap • Self clap (x2) • Back clap • Front clap • repeat

  12. D’Hammer Thighs Stomach Self clap Right Left Both

  13. PATTERNING WITH DIVISION(THE USE OF A CALCULATOR. HMMMMMM) • 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

  14. 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 =

  15. Consecutive odd numbers 1 1 + 3 = 1 + 3 + 5 = 1 + 3 + 5 + 7 = Predict the next three sums.

  16. Consecutive odd numbers (cont’d) 1 3 5 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?

  17. 1. Grab a calculator. 2. Key in the first three digits of your phone number (NOT the area code)3. Multiply by 804. Add 15. Multiply by 2506. Add the last 4 digits of your phone number7. Add the last 4 digits of your phone number again.8. Subtract 2509. Divide number by 2Do you recognize the answer?

  18. CRAZY CUPS!

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