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,
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,
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,
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…..
Iscoceles triangles on a line, which we then used to draw a kite.
Dynamic and static square in a circle and on a line.
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!
Pentagon in a circle.
Dodecagon in a circle.
We also went over some geometric terms,
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.
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.