A Slice of Geometry

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At the end of last year we started Elki’s grade 5 geometry block. We picked it up again a few weeks ago to start off his year of lessons, and have recently finished, Elki ready to move on to the next main lesson block. For this block I got help and inspiration from Eric Fairman’s, A path of discovery guide to grade 5, Drawing Geometry by Jon Allen, and String, Straightedge and Shadow by Julie Diggins.

I decided to start the block with some form drawing,

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using a basic guide to form drawing from Christopherus Homeschooling, and Painting and Drawing in Waldorf Schools by Thomas Wildgruber.

We had some fun with string games,

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learning them from the book Pull the Other One, by Michael Taylor.

And we began reading a chapter or two of String, Straightedge and Shadow each day, the early chapters inspiring us to make a right angle on the ground using only a string,

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We then moved on to geometrical drawing with a compass. I made the mistake to start with of buying cheap compass’s and they were terrible! Always slipping as we tried to draw precise arcs and curves! So, I invested in a more expensive compass for Elki, and it made all the difference.

Using Jon Allen’s Drawing Geometry we moved through the different shapes, and found that it was pretty awesome! Elki really enjoyed it, which surprised me a bit at first, geometry is supposed to be boring isn’t it? But then when I thought about it more I realised it is something that would appeal to him, using a tool to form creations in a practical way, watching shape and form arise on the paper using precise circles, arcs, and lines. A bit like making a lego creation starting with only the bare bricks…..

This is what we accomplished, firstly an equilateral triangle on a line and in a circle.10th March 2014 016 10th March 2014 017

Iscoceles triangles on a line, which we then used to draw a kite.

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Dynamic and static square in a circle and on a line.

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Hexagon in a cirlce and on a line. We were both really loving the flowers that can be made using only a circle and arcs!

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Pentagon in a circle.

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Dodecagon in a circle.

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We also went over some geometric terms,

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And made a geometric solid from paper, the Icosahedron or twenty sided figure, formed out of equilateral triangles. Elki turned his into a twenty sided dice.

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Now it’s time to move on, Botany is awaiting. Obviously there is so much more we could have covered but I think for now we have made a good start. And with all our supplies and books on the shelf Elki can immerse himself in further geometry learning if it’s something that calls to him.

 

 

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4 thoughts on “A Slice of Geometry

  1. Thank you for sharing your homeschooling stories. Mine at 2 and 4 and we will be homeschooling with Steiner methods. Its so beneficial to us to see other homeschoolers on the journey – makes it a little less overwhelming!

    • That’s wonderful to hear that my blog may be of some help to others Lizette. Thank you. Ultimately I created my blog to record our homeschooling journey and homelife, but I do hope that it may be beneficial to others on a similar or not so similar path as other blogs have been for me in the past. Thanks heaps for dropping by, and all the best with your homeschooling journey!

  2. I think that one of the really cool things about home education is that we the parent get to revisit and re-learn and (quite a bit for me) fill in the gaps of our own educations. It’s great that we can have that shift in our perception from “this subject is so dull” and never understanding why on earth anyone would want to study that to “this is really interesting/fun”. I think that Steiner Home Ed really packs a punch that way.
    I love this post because it’s very raw. Usually on the web we only get to see the perfect colored geometrical forms and none of the work that went into achieving that, but you have shown all the stages, the striving towards, which is the really important part and the essence of this education. Keeping it real. I like that. Thank you! Cathy

    • Thanks so much Cathy. I totally agree about how we get to relearn or learn for the first time with our children, and I have had major perceptions changes on subjects I found so boring at school, and sharing that with your children, I think, is awesome! Thank you for the comments about the post, it’s so great to hear. Elki really enjoyed the construction and forming of the shapes, I did offer extensions of this for him, like shading and colouring, but it’s just not what he enjoys (and it’s something I love!). The shaded in form drawing that I’ve shown was a big effort for him and although he quite enjoyed it that was enough! I found, of course, the best approach was to follow his lead! Danielle x

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