The Curriculum of the Steiner School - Class 6

Notes and Lesson Plans

Geometric Drawing
updated April 20, 2017


This page has helpful links and LOADS of free resources to help you plan your sixth grade year. Enjoy!



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Geometric Drawing
for Class 6



Pinterest - Renee Schwartz
My curated collection of visuals! Browse sample main lesson book pages, watercolor paintings, chalkboard drawings, etc. for Geometry.


FREE eBooks at the Online Waldorf Library
Excellent resource! Published Waldorf curriculum books provided here in PDF format for you to download, keep, and read... for free!


Sample Lessons and Free Curriculum


Other Helpful Links


Books to Buy

I'm suggesting two books: Sheen's Geometry and the Imagination (which is available at the Online Waldorf Library for free) and Barbara Dewey's Waldorf Geometry for Homeschoolers: Grade 6 (available in PDF format for $14.00). The link is to her online store at Waldorf without Walls.

In brief, his book is better for WHAT to do and her book is better for HOW to do it.


Recorded here is my own personal collection of articles, resources, favorite links, teaching ideas, and lesson plans. It encompasses many years, from the very beginning of my experience studying and learning about Waldorf to the present time. People from all around the world visit my site and recommend it to others. Welcome!

This site records my journey. I hope my honesty is encouraging and helps break down some barriers that may prevent people from trying Waldorf methods. Because this is an ongoing site documenting my curriculum planning and ideas, some materials are more Waldorf-y than others. Please feel free to take what you like and leave the rest.

I am currently teaching this main lesson block, February 2017. When we are done I will create a blog post with photographs of all of Becca's MLB pages.


List of Stories

I chose a two-block treatment of Geometry this year, in order to cover all of the material. (The third 6th grade block is Business Mathematics.) I believe some families do String, Straight-Edge and Shadow: The Story of Geometry as a main lesson block and then geometric drawing as a weekly follow-up special subject (akin to Form Drawing) throughout the year.

I decided that I didn't want so much time to pass between geometric drawings, so that both the geometry discoveries and the fluency in drawing and using the tools build in a more immediate way, but there's NO time in the introductory Story of Geometry block to do much drawing at all! Thus, a follow-up block devoted completely to the drawing.

There isn't a story for each figure in Geometry but Barbara Dewey suggests "The lesson should begin with a poem or poetic prose, which will be recited at the beginning of each lesson. It is important to have the artistic emphasis, even in science."

She suggests choose one of the following quotes from the prose of Joannes Kepler (1571-1630):

    The whole of creation forms a marvellous symphony in the order of ideas and of spirit as in that of material beings. All is held and linked together by mutual, indissoluble affinities; all forms a harmonious whole.
    from Harmonies of the World

    ... all nature and the graceful sky are symbolized in the art of Geometria...
    from Tertius Interveniens

If you haven't already done Astronomy, here is a chapter from a free book offered online at the Baldwin Project (www.mainlesson.com) called Stories of the Great Scientists by Charles R. Gibson:
Johann Kepler (1571-1630): From Pot-Boy in a Tavern to Imperial Mathematician and Astronomer

I chose the first quote for us to put in the main lesson book and the second one for us to recite each morning. Dewey also suggests "The child should be able to write (with help) a description of how each construction was done to go with each drawing in the main lesson book."

We are using extra-large 12 x 18 inch spiral bound MLBs which will open and lay flat more easily.

Here was our structure:

Day One

    background on Kepler

    present and explain two quotes - learn shorter one for daily recitation - present new blue MLB - add longer quote in lieu of table of contents page

    figure 2, 3 from Sheen
    (same as figure 2, 3 from Dewey; Sheen shows better how figure 3 is constructed)

    provide compass and nice new lead


    Steps:
    draw figure on practice paper - may have to make several trials to figure it out

    draft words of explanation - how it was created

    draw figure in MLB - put clipboard under page
    (to protect other MLB pages from the compass point and to hold the paper still)

    fine-tune words of explanation and add to MLB
    (we wrote it that day and not on the next day - she kept figuring out better how to describe the process as she did it)

    here is a chalkboard drawing with an alternative quote to introduce Geometry - William Blake

    and a chalkboard drawing of William Blake

    and a third choice for a Plato quote to introduce Geometry and a chalkboard drawing


Day Two

    figure 4, 5 from Dewey
    (figure 4 is same as figure 4 from Sheen; Dewey provides extra logical extensions from this)


Day Three


Day Four

    figure 6 from Sheen
    (she put the intermediate step of figure 6 -- with the full compass circles -- and the completed figure 6 in her MLB)


Day Five

    perfect equilateral triangle
    then figure 8, 9 from Sheen
    provide a protractor and a straight edge

    The children should become quite conversant with these names and their meanings:

      equilateral (Latin), equal sides
      isosceles (Greek), equal legs
      scalene (Greek), limping, uneven

    limp around the classroom with one leg shorter than the other, being scalene triangles


Day Six

    inspired by figure 10 from Sheen, cover image - create your own imaginative design!

    Becca used a page from a 17 x 20 inch pad of paper; this page is attached into the MLB and folds out to open

    on the facing page, fig 10a from Sheen
    acute, obtuse, and right angles

    discuss acute-angle triangles, obtuse-angle triangles, right-angle triangles
    here is a sample chalkboard drawing for classifying triangles

    sample "find the missing angle" problems chalkboard drawing


Day Seven

    figure 7, 8, 9 from Dewey


Day Eight

    figure 10 from Dewey
    using the colored pencils as she shows in her example (red, green, yellow, orange, blue)
    showing how to calculate how many lines connect the points of a hexagon (15)


Day Nine


Day Ten


Day Eleven

    cover image from Dewey (same as figure 19 from Sheen)
    a 24 sided regular polygon in a circle with all of its diagonals
    each of the 24 angular points is joined to every other one

    there are altogether 276 straight lines in the figure
    (calculate this, using one of the formulas from Dewey - given for figure 10)

    another version of the division of 24 - chalkboard drawing


Day Twelve

    figure 11 from Dewey
    honeycomb

    enjoy real honeycomb with some real honey!


Day Thirteen


Day Fourteen


THE END!

There's so much more you can do for this topic, but Sheen specifically states that his book will carry the class through several years of the Geometry curriculum. So don't panic or rush.


My blog posts from teaching this topic:



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