Geogami+Outline

The outline map for geogami (click on **each section** to see the detailed descriptions and prompts) back to Geogami Home


 * [[image:http://www.greenfusefilms.com/images/BTFPoster0809WEB2SM.jpg width="95" height="142" align="center"]] || **Introduction to Origami**
 * Projects
 * Watch and reflect on [|Between the Folds]
 * Find and fold a variety of origami patterns ( [])
 * Research Sadako Sasaki and the legend of 1,000 paper cranes
 * Watch and reflect on [|Robert Lang's TED] talk on origami
 * Standards
 * [|Apply Geometric concepts in modeling situations] ||
 * [[image:http://www.folders.jp/g/1998/9803_c.jpg width="128" height="128" align="center"]] || **Palm Reading**
 * Projects
 * <span style="border-collapse: separate; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 19px;">Analyze crease patterns and develop and test 3-5 rules for "palm reading" origami
 * <span style="border-collapse: separate; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 24px;">Standards
 * <span style="border-collapse: separate; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 24px;">[|Understand congruence in terms of rigid motions] ||
 * [[image:http://t0.gstatic.com/images?q=tbn:ANd9GcQGsL4ikDLucOtdFQRi2Vff4rJImZ9tqGoOoV27LHCuZMRzqPzC width="129" height="94" align="center"]] || <span style="border-collapse: separate; color: #800080; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 23px; margin: 0px; padding: 0px;">Folding Polygons and Polyhedra**
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 24px;">Projects
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px;">Create origami polyhedra and polygons <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 23px;">and categorize by characteristics
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px;">Standards
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px;">[|Explain volume formulas and use them to solve problems]
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px;">[|Visualize relationships between 2- and 3-dimensional objects] ||
 * [[image:http://t3.gstatic.com/images?q=tbn:ANd9GcSjwJdZXpKBqKoIGCEkKygZ0M_3y9rRpIvdqPluBs4XptC761DQ width="129" height="94" align="center"]] || <span style="border-collapse: separate; color: #800080; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 23px; margin: 0px; padding: 0px;">**Tesselations** (under construction- coming soon)
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 12pt; line-height: 24px;">Projects
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px;">Explore tessellation
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px;">Standards
 * <span style="background-attachment: initial; background-clip: initial; background-color: initial; background-origin: initial; background-position: 100% 50%; background-repeat: no-repeat no-repeat; border-collapse: separate; cursor: pointer; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 19px; padding-right: 10px;">[|Experiment with transformations in the plane] ||
 * [[image:http://plus.maths.org/issue53/features/newton/angle.jpg width="120" height="112" align="center"]] || <span style="border-collapse: separate; color: #800080; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 23px; margin: 0px; padding: 0px;">Constructions and Proofs**
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 24px;">Projects
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 24px;">Explore geometric proofs using origami folding
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 24px;">Dissect straightedge/compass constructions and compare these to origami constructions
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 12pt; line-height: 24px;">Explain why some "impossible constructions" aren't really impossible
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 24px;">Standards
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 24px;">[|Prove Geometric Theorems]
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 24px;">[|Make Geometric Constructions]
 * <span style="background-attachment: initial; background-clip: initial; background-color: initial; background-origin: initial; background-position: 100% 50%; background-repeat: no-repeat no-repeat; border-collapse: separate; cursor: pointer; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 19px; padding-right: 10px;">[|Use coordinates to prove simple geometric theorems algebraically] ||
 * [[image:http://t2.gstatic.com/images?q=tbn:ANd9GcTScw8R2bLTu7r9C2E4BKKqUI2eyJ0iK2ynK1m9HJbPBs9-PZDU width="129" height="94" align="center"]] || <span style="border-collapse: separate; color: #800080; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 23px; margin: 0px; padding: 0px;">Trigonometry**
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 24px;">Projects
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 24px;">Execute and explain trigonometric proofs using origami
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 24px;">Standards
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: medium; line-height: 24px;">[|Understand similarity in terms of similarity transformations]
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: medium; line-height: 24px;">[|Prove theorems involving similarity]
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; line-height: 24px;">[|Define trigonometric ratios and solve problems involving right triangles]
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; line-height: 24px;">[|Apply trigonometry to general triangles] ||
 * [[image:http://farm4.static.flickr.com/3065/2588641284_603490d6d1.jpg width="136" height="95" align="center"]] || <span style="border-collapse: separate; color: #800080; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 23px; margin: 0px; padding: 0px;">**Circles and Conic Sections** (under construction- coming soon)
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 24px;">Projects
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 24px;">Read "<span style="background-attachment: initial; background-clip: initial; background-color: initial; background-origin: initial; background-position: 100% 50%; background-repeat: no-repeat no-repeat; cursor: pointer; padding-right: 10px;">[|Circular Origami] " by Eva Knoll
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 24px;">Explore origami patterns using circular paper, identifying
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 23px;">Analyze crease patterns and identify circle quantities and properties
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 24px;">Standards
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 24px;">[|Understand and apply theorems about circles]
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 16px; line-height: 24px;">[|Find arc length and areas of sectors of circles]
 * <span style="-webkit-border-horizontal-spacing: 0px; -webkit-border-vertical-spacing: 0px; background-attachment: initial; background-clip: initial; background-color: initial; background-origin: initial; background-position: 100% 50%; background-repeat: no-repeat no-repeat; border-collapse: separate; cursor: pointer; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: 120%; line-height: 19px; padding-right: 10px;">[|Translate between the geometric description and the equation for a conic section] ||