Modular Origami From Christmas Crafting to Middle School Math Lessons… Soraya Dangor 4/18...
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Transcript of Modular Origami From Christmas Crafting to Middle School Math Lessons… Soraya Dangor 4/18...
Modular Origami
From Christmas Crafting to Middle School Math Lessons…
Soraya Dangor 4/18
Sequences ✓
Equations ✓
Communication ✓
Spacial Reasoning
✓Angles ✓
Polygons ✓
Building Units
Right isosceles triangular pyramid
“Half-cube” or “partial triangular prism”
# of units # of pyramids # of vertices
3 2 5
6 4 8
9 6 11
12 8 14
Units × 1.5 = Pyramids
Pyramids ÷ 1.5 = Units
Units + 2 = Vertices
-Area
-Interior Angles
-Graphing
-Other building units
Sequences!
Definitions of Polyhedra
Regular Cube(made with sonobe units)
-6 congruent square faces-8 vertices-8 edges
Oxi Module Cube
- 6 faces?- each face consists of
4 ½ cubes and 6 congruent square holes
- OR do we count all the surfaces?
- 8 Pyramids (are these part of the faces?)
-Vertices?- edges?-Interior angles?
Exploration Project- Analyzing and
describing units- Exploring what can
be built- Exploring area and
angles- Writing definitions- Recording patterns- Representing
patterns algebraically- Creating a new shape
X
NCTM 6-8 Algebra Standards• represent, analyze, and generalize a variety of patterns with tables,
graphs, words, and, when possible, symbolic rules;• relate and compare different forms of representation for a
relationship;• identify functions as linear or nonlinear and contrast their
properties from tables, graphs, or equations.
NCTM 6-8 Geometry Standards• precisely describe, classify, and understand relationships among
types of two- and three-dimensional objects using their defining properties;
• understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects;
• create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship.
Extensions
-Koch Snowflake
-Interdisciplinary possibilities
-Creating new origami units
-Middle School Math Unit
Source: http://michal.kosmulski.org/origami/fractals.html