Navigating through geometry in grades 9 - 12

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Weitere Verfasser: Lott, Johnny W. 1944- (HerausgeberIn)
Format: Buch
Sprache:English
Veröffentlicht: Reston, Va. NCTM, National Council of Teachers of Mathematics 2001
Schriftenreihe:Principles and standards for school mathematics navigations series
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Datensatz im Suchindex

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adam_text VIGATIONS S ERIES Table of Contents About This Book .............................................. vii Introduction ................................................. 1 Chapter і Transforming Our World ....................................9 Fold Me! Flip Me! ............................................12 Mirror, Mirror, on the Wall .....................................14 Slide Me Now ................................................17 Design This .................................................18 Gliding Along ................................................20 Into the Light with Transformations ..............................21 Transforming with Matrices .....................................26 Chapter 2 The Geometry of Position and Map Making ...............27 Delivering Packages ...........................................32 Where Are We Now? ..........................................35 Intuitive Cartography ..........................................38 Projecting on a Cylinder .......................................41 Chapter з Multiple Dimensions of Similarity .........................45 Scale Factors .................................................49 Basic Dilations ...............................................51 Coordinate Connections .......................................52 Multiple Transformations .......................................54 Shadowy Measurements ........................................56 Field of Vision ................................................58 Chapter 4 Visualizing Limits in Our World ...........................61 What s My Sum? ..............................................63 Sum Me Up .................................................64 The Koch Snowflake Curve: How Big Am I? .......................67 Smoke and Mirrors ............................................69 D/iContinuous, That s What You Are! .............................70 How Small Are the Squares? ....................................73 Looking Back and Looking Ahead ..............................75 III Appendix Black Line Masters and Solutions ..........................77 Fold Me! Flip Me! ............................................78 Mirror, Mirror, on the Wall ..................................... NO Slide Me Now ................................................82 Design This .................................................N4 Gliding Along ................................................N5 Into the Light with Transformations ..............................N7 Transforming with Matrices ..................................... (λ5 Delivering Packages ...........................................97 Where Are We Now? .......................................... 9У Intuitive Cartography .........................................101 Projecting on a Cylinder ......................................105 Scale Factors ................................................107 Basic Dilations ..............................................110 Coordinate Connections ...................................... Ill Multiple Transformations ......................................113 Shadowy Measurements .......................................115 Field of Vision ...............................................117 What s My Sum? .............................................119 Sum Me Up ................................................121 The Koch Snowflake Curve: 1 low Big Am 1? ......................122 Smoke and Mirrors ...........................................125 D/.vcontinuous, That s What You Are! ............................126 How Small Are the Squares? ...................................127 Solutions ...................................................1 2cS References ............................................. ι 50 Contents of CD-ROM Applets Tessellation Exploration (Chapter 1) Viewing-Tube Geometry (Chapter 3) Koch Snowflake Curve (Chapter 4) Least Squares (Chapter 4) Supplemental Materials Time Line of Important Events in Map Making (Chapter 2) Applications of the Global Positioning System (Chapter 2) Trilateral Coordinates and Triangular Grids (Chapter 2) Similar Triangles for Scale Factors (Chapter 3) Directions for Sketchpad Users for How Small Are the Squares? (Chapter 4) Blackline Masters Readings from Publications of the National Council of Teachers of Mathematics Godzilla: Fact or Fiction Rick Billstein and James Trudnowski NCTM Student Math Notes Visual Thinking with Translations, Half-Turns, and Dilations Tom Brieske Mathematics Teacher iv ] S-Con Triangles Maurice Burke NCTM Student Math Notes Similarity from Multiple Perspectives ι Arthur F. Coxford, Linda Burks, Claudia Giamati, and Joyce Jonik Geometry from Multiple Perspectives: Curriculum and Evul и tit ion Standards for School Mathematics Addenda Series, Grades 9-12, pp. 55-56 Integrating Geometry into the Secondary Mathematics Curriculum Timothy V. Craine The Secondary School Mathematics Curriculum, pp. 119-33 An Interesting Introduction to Sequences and Series John Egsgard Mathematics Teacher Similarity: Investigations at the Middle Grades Level Alex Friedlander and Glenda Lappan Learning and Teaching Geometry K-32, pp. 136-43 Mathematics and Applications ot a Global Positioning System Peggy House Mission Mathematics: Linking.ierospace and the NCIW1 Standards, 9-12, pp. 37-62 Fracturing Our Ideas about Dimension Tami Martin NCTM Student Math Notes Conic Sections Alton T. Olson Mathematics through Paper Folding, p. З З : Visualizing Least-Square Lines ot Best Fit Charles Vonder Fmbse Mathematics Teacher Experiencing Functional Relationships with a Viewing Tube ¡ Melvin R. Wilson and Barry K. Shealy | Connecting Mathematics across the Curriculum, pp. 219-24
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spellingShingle Navigating through geometry in grades 9 - 12
title Navigating through geometry in grades 9 - 12
title_auth Navigating through geometry in grades 9 - 12
title_exact_search Navigating through geometry in grades 9 - 12
title_full Navigating through geometry in grades 9 - 12 Roger Day ... Johnny W. Lott, grades 9 - 12 ed.
title_fullStr Navigating through geometry in grades 9 - 12 Roger Day ... Johnny W. Lott, grades 9 - 12 ed.
title_full_unstemmed Navigating through geometry in grades 9 - 12 Roger Day ... Johnny W. Lott, grades 9 - 12 ed.
title_short Navigating through geometry in grades 9 - 12
title_sort navigating through geometry in grades 9 12
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