Patterning and Algebra
Roland O'Daniel. (February 25 2010). Nctm algebra framework. Retrieved from: https://www.flickr.com/photos/rlodan01/4387091999/in/photolist-7FEZBe-9tsKL-4EP91d-73qoa6-fbuYJP-7FEZAr-8Xjfgt-7uPECu-nfpZVZ-aM7YJv-8WXays-67U3in-4JHJ8R-urXvw3-aM7Znz-aM8hhK-nFWe2K-7NzH7j-5G9D3U-nS3oxd-bxBWe8-aM7ZDF-7zqDxi-85Go7w-qn498v-797Gnv-73uj33-3KEu5G-7NvUMc-7FJTz9-aM7ZiZ-aM7VCx-aM81ut-aM81hR-bdWeW2-bmpoit-aM81ba-943Tpe-nHQVZ-7NzNjC-7NvBtg-7NvHUK-7NvQZx-7NvCi4-aM8dmX-aM8d7i-7NvLtp-9mAXgJ-7NzMJQ-7NvTCK
This week we discussed
Patterning and Algebra. Presentations covered in class dealt with growing
relationships, number tricks, and describing relationships and functions.
Growing relations was similar to my presentation on describing relationships
and functions. Both topics deal with finding algebraic equations that
demonstrate how the pattern grows. You can go about this in different ways for
different learners. For instance, the first presenter used images to show the
growing pattern. This is useful for visual learners because they see an image
growing from one step to the next. In my presentation, I used input and output
tables to show how each column was growing. Students then had to describe how
you get the output number, based on the input number, while finding its
algebraic equation. The fact that both our topics were similar because they involved
showing relationships through algebraic equations was useful. It was useful
because it allows different learners to understand how to solve the problems. For
instance, I learned quicker by having the numbers laid out in front of me, but
someone else may have learned better by having the graphic images.
I wanted to find a
resource that would be useful for students to get a grasp on this topic of patterning
and algebra. While performing a simple Google search of “describing
relationships algebra” I came across this resource:
This website is useful for students who have a hard
time understanding how algebraic equations work. Due to the nature of algebraic
equations containing both letters and numbers, students can often become
confused on what numbers they need to substitute to replace the letters. I particularly
like this link because in the summary, it provides you with an image that
serves as a problem solving checklist, which provides students with a list
multiple ways of learning and demonstrating relationships in algebra.
Can I guess your number?
Pascal. (July 16 2011). Popular trick. Retrieved from: https://www.flickr.com/photos/pasukaru76/5944308910/in/photolist-a4h8WE-zsdFX-78XnVy-5L2bzA-o6yUkB-h9SNnt-bwDuRY-aAx8RU-79tMEC-49Ck8f-KcgrY-doWMJt-h8XQ7V-3pvgvY-o6yWKB-o4wrKQ-o6yVfn-o6gyrP-5zZnyD-nP5tw4-tafQZX-5y5ShS-8wppQG-9Ac4EN-5Aj7pC-5Aj6Qb-8PH7gd-pmGmXi-66KpGV-8PgrTT-5g4qVj-iebaM4-fEffjD-78U99x-KCeRy-KcoRa-o6gvd4-o6sXEb-4SAqwk-7c2jNb-83wY1k-nYa21M-2hQmh6-bfUSxD-5vofuK-eUZX7N-8zYQmk-aALPDi-4EpPPg-dLor4S/
Furthermore, we also
learned about number tricks. This one I found particularly enjoyable. Growing up,
my Poppy (for those who don’t know – Poppy means grandpa) used to do a number
trick on me and my sisters, and it used to blow our minds that we could not
figure out how he was knowing our answers, considering he did not know our
starting numbers. It did not matter what number you started with, he always got
the answer correct, and it was not always the same answer either (e.g. it could
have been 1, 2.5, 4, etc.). I enjoy this type of math fun because it is an
engaging way to learn mathematical skills (e.g. multiplication, division, addition,
subtraction). I particularly enjoyed the first trick the presenter conducted on
the class because the entire class, regardless of the number we started with,
ended up with an answer of 5.
While browsing on Google,
I was able to find a number trick that was scary. I was unable to find one that
allows for reuse due to copyright laws, however I will share with you the link
to Google images that I found the image. If you click on the following link
below, you too will be able to give this number trick a try. Don't forget your calculator!
Dave Dugdale. (October 20 2010). Simple calculator. Retrieved from: https://www.flickr.com/photos/davedugdale/5100067174/in/photolist-8LFbhE-bnZQ8Z-9VCot1-Bq74-2WdaSy-9Ajs9g-7ASToy-bgfKPz-biaBRX-6Y3eoz-9biQY6-bgfFKc-98yw4q-9VBTZs-7wKLgq-peP4yt-7vBn9x-beBtDe-biaY1B-5XFw6m-9vhaAV-dDqzhQ-oXA73Y-oXA6Sh-oXALBj-oXALeA-pd3YsL-oXANk9-f42KUw-qgskU-6DtkQL-9VA6L5-9VzuXL-pszSbf-zuvpv-oXAKfF-HXgs4-oXAM8E-pf5Wr4-oXA7rJ-8BYA4a-9kMUyb-9fHDJG-hT9yw7-ceqmcw-ceqm8d-5B8z4Q-ehE2Rm-9kVa1n-dQ3mXG
Also, if you are interested in learning other number
tricks to perform on people you know, or in your practicum classes, you can
visit the following link which provides you with 10 different math tricks to
choose from!
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