By Thomas Hull
IntroductionActivity 1 Folding Equilateral Triangles in a sq. job 2 Origami Trigonometry task three Dividing a size into equivalent Nths: Fujimoto Approximation job four Dividing a size into equivalent Nths precisely job five Origami Helix job 6 Folding a Parabola job 7 Can Origami Trisect an Angle?Activity eight fixing Cubic Equations job nine Lill's procedure job 10 Folding Strips into Knots Read more...
summary: IntroductionActivity 1 Folding Equilateral Triangles in a sq. task 2 Origami Trigonometry task three Dividing a size into equivalent Nths: Fujimoto Approximation job four Dividing a size into equivalent Nths precisely job five Origami Helix job 6 Folding a Parabola task 7 Can Origami Trisect an Angle?Activity eight fixing Cubic Equations job nine Lill's technique task 10 Folding Strips into Knots job eleven Haga's ""Origamics"" job 12 Modular famous person Ring job thirteen Folding a Butterfly Bomb task 14 Molly's Hexahedron task 15 company Card Modulars job sixteen 5 Inter
Read or Download Project Origami : Activities for Exploring Mathematics, Second Edition PDF
Best study & teaching books
Teaching Reading and Writing: A Guidebook for Tutoring and Remediating Students
Offering a wealth of easy, research-based suggestions for educating analyzing and writing, this e-book is designed for every bankruptcy to be available to academics, tutors, mom and dad, and paraprofessionals. educating analyzing and Writing demonstrates that potent literacy guideline doesn't must be advanced or dear.
Participatory Composition: Video Culture, Writing, and Electracy
Like. percentage. remark. Subscribe. Embed. add. sign in. The instructions of the fashionable on-line global relentlessly steered participation and inspire collaboration, connecting humans in methods impossible even 5 years in the past. This connectedness doubtless impacts university writing classes in either shape and content material, growing probabilities for investigating new types of writing and pupil participation.
Identified for a few years as Barrons effortless means sequence, the hot variants of those renowned self-teaching titles are actually Barrons E-Z sequence. Brand-new disguise designs replicate all new web page layouts, which characteristic vast two-color remedy, a clean, glossy typeface, and extra photograph fabric than ever-- charts, graphs, diagrams, instructive line illustrations, and the place applicable, a laugh cartoons.
- Modelling and Applications in Mathematics Education: The 14th ICMI Study (New ICMI Study Series)
- Architect's Essentials of Professional Development (The Architect's Essentials of Professional Practice)
- Handbook of Research and Policy in Art Education
- Early Learning of Modern Foreign Languages: Processes and Outcomes (Second Language Acquisition)
- The How and Why of One Variable Calculus
Additional resources for Project Origami : Activities for Exploring Mathematics, Second Edition
Sample text
I1 i2 i3 . )2 . What will T0 ( x ) be? How about T1 ( x )? Proofs? Question 6: As we perform Fujimoto’s method on our initial guess x, we can think of it as performing T0 and T1 over and over again to x. When approximating 1/5ths, what happens to the binary decimal of x as we do this? Use this to prove the observation that you made in Question 2. 28 Activity 3 (3) A number theory question. . (courtesy of Tamara Veenstra) In Question 3 you were asked to use Fujimoto to approximate 1/7ths, and you should have noticed that in doing so you do not make pinch marks at every multiple of 1/7, unlike when approximating 1/5ths.
2 . 075 left over. This is bigger than 1/16, so the fourth digit is a 1. 0125 left. This is smaller than 1/32 and 1/64. But wait, 1/80 = (1/5)(1/16) and we got 1/80 after removing the 1/16 term from it. This means that if we factor out a 1/16 from our 1/80 remainder, we get 1/5 and we’re back to where we started! 0011)2 . In Question 2, we know that in Fujimoto’s method to make 1/5ths, we had to fold the right side twice and then the left side twice. So we folded the sequence Right, Right, Left, Left.
Folding the triangles actually adds some logical deductions to the problems, where the student needs to observe that when one object (either an angle or a length) is folded onto another object, congruent objects can be created (either congruent angles or lengths). This is an important aspect of paper folding that results in “proofs by origami” and is employed in other activities in this book, like the Trisecting an Angle activity. Furthermore, it is the author’s opinion that many students have a very hard time internalizing the methods and utility of trigonometry.