MATH: GEOMETRIC REPRESENTATION OF FRACTIONS

Introduction

There is something lovely about the Steemit community. Seeing little groups pop up and watching them shape the whole experience is marvelous to behold.

While preparing an art/math lesson, I had a few students who didn't have access to a computer. I quickly adapted part of the lesson to be done by hand and worked through the details with one student. It turns out having a limited set of tools really brought about beautiful results. It is as though creativity and inspiration seeped through the shapes we removed.

Instructions:

• Outline 6 squares with 2" sides.
• Take 5 shapes and make make stencils with those shapes.
• Use the original or modified shapes to make randomly placed outlines 6 different squares.
• Shade in the outlines.

Here are 5 shapes I used for stencils.

Here is an example of what a page would look like.

Here is an example of how the 6 squares look before they have the 5 shapes cut out of them.

Here is an example of how the 6 squares look after they have the 5 shapes cut out of them.

From here students can either stop, or continue to calculate the area of the unshaded region. Some students may struggle, but the area is just the area of the initial square, minus the area of all shaded regions.

This turns into an excellent way to help kids visualize fractions if they struggle with that area of math.

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Project Extension No. 1: Rotated, Flipped Overlay

I was creating a graphic to help illustrate the previously mentioned technique and accidentally rotated a duplicate of the 2 by 6 tiles.

The result was absolutely lovely. I was seeing shapes and colors mixed in a way I had never seen before.

Here is an example of this effect. I've rotated this image and flipped it across the x and y-axis until I was happy with the result.

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Project Extension No. 2: Steemit Collage

As I sat down to write about this concept, I realized I could create this using Steemian art.

For the art, I grabbed 12 images from the art tag on steemit.com.

Sources:

@timsaid , @nolasco , @haileyscomet , @iansart , @thecryptofiend , @helene , @mariandavp , @elenasteem , @nicolemoker , @coloringiship , @granblock, @aci7

Links:

• https://steemit.com/mypictureday/@nolasco/mypictureday-challenge-round-5-by-timsaid-living-in-east-timor-asia
• https://steemit.com/photography/@timsaid/mypicturesunday-13-lost-places
• https://steemit.com/art/@haileyscomet/painting-the-cosmic-tree-video-tutorial
• https://steemit.com/drawing/@iansart/flower-girl-pencil-portrait
• https://steemit.com/art/@thecryptofiend/new-digital-painting-untitled-abstract-composition-no-1
• https://steemit.com/art/@helene/my-watercolor-sage
• https://steemit.com/art/@mariandavp/rebel-office-art-by-mariandavp
• https://steemit.com/art/@elenasteem/pikachu-the-drawing-process-video
• https://steemit.com/art/@nicolemoker/study-design-with-nicole-2-mandala-2
• https://steemit.com/art/@coloringiship/pencil-pencil-portrait-of-my-mother-madam-veronica-g-bedindang-2017727t12713183z
• https://steemit.com/draw/@granblock/escaping-werewolf-part-two-shading
• https://steemit.com/art/@aci7/my-i-want-just-bleu-abstract-watercolour

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Notes:

I haven't watermarked any images, so use them for education or on steemit. Either way, please site this post or my username as the source. Some people are doing google searches, seeing my art, and ignoring the link connected to the art!