Geometric Drawing and the Waldorf School Plan

Geometric Drawing
updated Feb 4, 2022

This page has helpful links and LOADS of gratuitous resources to aid you plan your 6th grade twelvemonth. Enjoy!

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Mission Statement - Consulting Services - Lending Library

Geometric Drawing
for Course vi

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

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

Sample Lessons and Gratis Curriculum

Live Pedagogy curriculum samples:
• Six-Fold Symmetry of the Snow Crystal from Nature, Number, and Geometry

Other Helpful Links

BLACKBOARD SKETCHING book by FREDERICK WHITNEY (1908)
available online for costless - with footstep by step directions and illustrations


Ernst Schuberth has written wonderful books on the teaching of geometry, only i should note that they are out of step with the progression of math skills recommended past Jamie York. Jamie writes on page 83 of his Making Math Meaningful: A Source Book for Didactics Math in Grades One Through V, "We recommend freehand geometry in fifth grade, and geometric cartoon (with compass and straightedge) for 6th course, whereas Schuberth lists both of these for a year before."

Thus, Schuberth's course iv & 5 volume can exist seen as a class 5 & 6 book. Here are his grade 5 skills notes regarding lessons in Geometric Drawing, which we may use for this block:

Ernst Schuberth - Freehand Geometry
circle
circle with color
distending, compacting, enveloping, dilating
Straight Lines and Points as Determinants of a Circle'due south Boundaries
tangents
pencil of lines
indicate row
circle area
Points and Straight Lines in Relation to the Circle
center point
center lines
diameter
radius
passant, tangent, secant
chord
avoidance bespeak, boundary point, connectedness indicate, vanishing point
circle symmetry
symmetry axes
freehand geometry exercises

Drawing with compass and straight edge is then introduced and continues for the residue of the book (pages 62-84)

A Geometry Joke

My friend was cold so I told her to become stand up in a corner. Corners are 90 degrees.

Books to Buy

I'grand suggesting two books: Sheen's Geometry and the Imagination (which is bachelor at the Online Waldorf Library for free) and Barbara Dewey's Waldorf Geometry for Homeschoolers: Grade half-dozen (available in PDF format for $xiv.00). The link is to her online shop at Waldorf without Walls.

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

Waldorf Geometry for Homeschoolers: Class 6
by Barbara Dewey

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Recorded here is my own personal drove of articles, resources, favorite links, teaching ideas, and lesson plans. It encompasses many years, from the very kickoff of my feel studying and learning nearly Waldorf to the present time. People from all effectually the world visit my site and recommend information technology to others. Welcome!

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

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

List of Stories

I chose a two-block handling of Geometry this yr, in order to cover all of the material. (The third 6th grade block is Business Mathematics.) I believe some families do Cord, Straight-Border and Shadow: The Story of Geometry as a main lesson cake and so geometric cartoon as a weekly follow-up special subject (akin to Class Cartoon) throughout the year.

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

There isn't a story for each figure in Geometry simply Barbara Dewey suggests "The lesson should brainstorm with a poem or poetic prose, which will be recited at the beginning of each lesson. It is of import to accept the artistic emphasis, even in scientific discipline."

She suggests choose 1 of the following quotes from the prose of Joannes Kepler (1571-1630):

The whole of cosmos forms a marvellous symphony in the society of ideas and of spirit as in that of material beings. All is held and linked together past common, indissoluble affinities; all forms a harmonious whole.
from Harmonies of the World

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

If yous oasis't already done Astronomy, here is a chapter from a complimentary book offered online at the Baldwin Projection (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 principal lesson book and the second i for us to recite each morning. Dewey besides suggests "The child should be able to write (with help) a description of how each structure was washed to become with each cartoon in the main lesson book."

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

Here was our structure:

Day One

background on Kepler

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

figure 2, 3 from Sheen
(aforementioned every bit figure 2, 3 from Dewey; Sheen shows better how figure iii is constructed)

provide compass and nice new lead



Steps:
describe figure on practise paper - may have to make several trials to effigy information technology out

draft words of caption - how it was created

draw figure in MLB - put clipboard under page
(to protect other MLB pages from the compass signal and to concur the newspaper notwithstanding)

fine-melody words of explanation and add to MLB
(we wrote information technology that day and non on the next day - she kept figuring out better how to describe the procedure as she did information technology)

here is a chalkboard cartoon with an culling 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 cartoon

Day Two

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

Solar day Three

figure 5 from Sheen

Day 4

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

Day Five

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


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

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

limp effectually the classroom with 1 leg shorter than the other, beingness scalene triangles

Mean solar day Six

inspired by figure x from Sheen, encompass image - create your own imaginative design!

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

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

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

sample "find the missing angle" problems chalkboard drawing

Day Seven

figure 7, eight, ix from Dewey

Day Eight

figure ten from Dewey
using the colored pencils as she shows in her example (red, green, yellow, orangish, blueish)
showing how to calculate how many lines connect the points of a hexagon (fifteen)

Day Nine

effigy 12 from Dewey
bisecting an angle, making a 12 pointed star

how to bisect an bending sample MLB folio

sample MLB illustration for 12 pointed star

Day X

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

at that place are birthday 276 straight lines in the figure
(calculate this, using one of the formulas from Dewey - given for effigy 10)

another version of the sectionalisation of 24 - chalkboard cartoon

Day Xi

figure xi from Dewey
honeycomb

enjoy real honeycomb with some real honey!

Day Twelve

how to construct a perpendicular bisector sample MLB page

do this circle structure activity which teaches students how to find the middle of a circumvolve by amalgam perpendicular bisectors

sample MLB page with terminology for The Circle

• circumference
• diameter
• radius
• chord
• tangent
• secant
• arc

don't forget to too include the definition of a circumvolve: a round plane figure whose purlieus (the circumference) consists of points equidistant from a fixed point (the centre)

Day Thirteen

effigy 13 from Dewey
the living spiral

beautiful and colorful instance of a MLB page for this spiral fabricated with an octagon

and a chalkboard cartoon (without color)

Solar day 14

figure fourteen from Dewey
variation on the living screw

draw this and and so compare to beautiful photographs of the spirals in snail shells

THE Cease!

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

A Note:
I would never utilise these books for teaching whatever mathematical concepts because I think they are too confusing, but kids who are older and already familiar with the concepts practise enjoy reading them and communicable all the puns. I introduced them after the Circle Terminology MLB page on Day Twelve.

The series of ix books by Cindy Neuschwander includes:

My blog posts from teaching this topic:

Planning for Business Math and Geometric Drawing
February 2017

Notes from gr.half-dozen Geometric Drawing Block
Jan 2022

situhicuregary.blogspot.com

Source: https://waldorfcurriculum.com/Class6/geodrawing.html

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