Sample Look Book Pages

Total Page:16

File Type:pdf, Size:1020Kb

Sample Look Book Pages LEVEL ONE SAMPLE PAGES A Deep and Complex Look at Geometry: Polygons Details Rules Which details are more important than others, and how do you know they Describe a rule, law, or order related to this topic. are important? Polygon definition: many-sided closed figure made by Polygons are 2-dimensional, closed figures made from joining line segments, “regular” polygon has equal sides. line segments. Standards Parts, Facts, Features, Processes Laws What would happen if you didn’t follow this rule. Who are the important people, places, events? Methods chilliagon - 1,000 sides hexagon: honeycomb If the shape is open, it is not a polygon. megagon - 1,000,000 sides tangram: paper cut into If the sides are curved, it is not a polygon. List the important parts, polygons List facts and opinions facts, features, and processes about the topic. of your topic. triangle FACTS: It is easier to square Draw and label all important parts. draw a triangle than it Draw a picture that would show someone how to follow this rule. rectangle is to draw an octagon. pentagon hexagon octagon Large number of OPINIONS: sides: Hexagons are more 17-gon, 18-gon interesting than pentagons. Intentional Teaching Considerations: Details & Rules with Polygons Most elementary students might be able to draw and identify simple triangles and squares, but they often can’t explain why a polygon is different from other geometric shapes. By taking a deeper look at the Details and Rules that define polygons, students will be able to identify more complex forms of polygons in the world around them. Teachers can introduce the concept of polygons through inquiry using examples and non-examples. This activity will enable students to construct their ownSAMPLE understanding of the rules that differentiate polygons from other geometric shapes. 60 Deep and Complex Look Books by Paula Wilkes and Mark Szymanski © J Taylor Education, 2006, 2008 LEVEL ONE SAMPLE PAGES A Deep and Complex Look at Literature: Lon Po Po Big Idea What is the main idea of this topic? Unanswered Questions What did you learn? - Listen to your parents when they are trying to It can be easy to be fooled. protect you. If we think carefully before we act, it might prevent us - Think before you act. from getting hurt or being fooled. Conclusion Summary Why is this main idea important? Unsolved, Unexplained, a Dilemma What questions remain about this topic? Global Theme Because it will keep you safe. Why would a wolf want to hurt children? How would you be a ble to be certain it was your PoPo? Why were the mother and children living alone? Write the smaller ideas that What resources can help What happened to the father? support the bigger idea. you answer these questions? Is PoPo a common nickname for Grandmother in China? • work together to other books National Geographic solve a problem Draw the big idea. Create a drawing about this question. Wolf experts • be creative Grandmas & Grandpas teachers • be certain before you make a decision write to the author • get more information Intentional Teaching Considerations: Big Ideas & Unanswered Questions with Literature While most elementary-aged children have heard the classic story about Red-Riding Hood, Lon Po Po provides an opportunity for the students to see the story from a different cultural perspective. Viewing both stories through Main Ideas allows students to see how the global themes remain the same despite the differences in details. The Unanswered Questions might relate to both stories, such as “Why would a wolf want to hurt children,” while another question might be specific to Lon Po Po, “Is Po Po a common nickname for Grandmother in China?” A cross-cultural study using children's literature and the icon of UnansweredSAMPLE Questions can encourage students to develop more curious minds. 62 Deep and Complex Look Books by Paula Wilkes and Mark Szymanski © J Taylor Education, 2006, 2008 LEVEL TWO SAMPLE PAGES A Deep and Complex Look at Geometry: Angles Big Idea What summary statement explains this topic? Across Disciplines Connect your topic to something you have read or experienced. Understanding how to measure, judge, and use angles impacts people in I saw the importance of accurate measuring of angles during a kitchen many professions including: artists showing perspective, architects & remodel where the angle of the two adjoining walls and the floor didn’t engineers in designing & building structures, camera people showing match the piece of flooring. That mismatch could easily be hidden by images from a variety of perspectives. moulding, but that is not the case, when two pieces of granite do not have Conclusion supplementary angles. Summary Judge the importance of this big idea. Making Connections Global Theme Greek & Roman architecture, statue. This idea is important because it demonstrates why math is a foundational subject, and it also demonstrates how teacher could make learning about List synonyms (similar words) angles more interesting and applicable to the real world. My topic is mainly related to: or metaphors for the big idea. Mathematics and the vertex Literature choice, metaphor: where two rays or line • Robert Frost’s poem: “two Write the smaller ideas that support the bigger idea. segments intersect that space Show the interconnectedness of your topic. roads diverged” is measured in degrees • crossroads accute, obtuse, right The angle as providing a 3-D vanishing points camera angle for effect degree, complementary, perspective ARTS but it is also related to: choice to make. supplementary artist Symbol systems: language ‘Bound Angle pose’ in yoga Visual perspective metaphor: Language arts: Understanding & Application SCIENCE & “see things from another angle” • seeing from a new angle SPORTS of Angles in many professions “angle of attack” ANGLES symbol systems [your big idea] MATH polygons - “triangle” Q angle= 15 degrees tools degree Perspective-taking: ‘Hitting the Target’ website: sports - “360 degree turn” (learning angles through quadrcept angle of two line protractor, level angle • What’s your angle? sports) segments - pole vaulter DESIGN & 1. From tibialtubercle to athlete carpenters,architects, pole vault, CONSTRUCTION mid-patella engineers 2. from mid-patella to ASIS ice skater, skateboarder Intentional Teaching Considerations: Big Ideas & Across Disciplines with Geometry (Angles) Classification and measurement are usually the focus of learning about angles. By looking at the Big Ideas of angles, as well as their role Across Disciplines, students will understand how being able to measure, judge, and use angles is important to people in many professions. A teacher can introduce a unit on angles by showing how angles are used acrossSAMPLE disciplines such as shown in the graphic above. 64 Deep and Complex Look Books by Paula Wilkes and Mark Szymanski © J Taylor Education, 2006, 2008 LEVEL TWO SAMPLE PAGES A Deep and Complex Look at Biology: The Chemistry of Life Rules Patterns Describe a rule or law related to this topic. Describe the patterns you find. When living things metabolize, energy is made and released by breaking The pH scale is a continuum from 1-14. and making chemical bonds in chemical reactions pH1 is acidic like stomach acid. pH 14 is basic like bleach. Standards Repeated Sequence Laws What would happen if you didn’t follow this rule. Order Predict what will come next. Methods Relationship If no chemical reactions occurred, then living organisms would not Most living cells have an inside pH around neutral which is pH 7.0 metabolize and therefore would not survive. List facts and opinions about List elements, events, ideas the topic. that are repeated over time. FACTS: pH Energy stirred up Hydroxide ions chemical bonds Create a visual that would show someone how to follow this rule. Draw a pattern or cycle from this topic. Energy released when Hydrogen ions bonds broken internal pH ATP is the energy currency for a cell Adenosine PPP+ molecule OPINIONS: Energy Used Energy released P P PP Intentional Teaching Considerations: Rules & Patterns in The Chemistry of Life Students in high school biology often come to class with little or no experience with basics skills in chemistry. By looking at the Patterns and Rules of basic chemistry, students can construct a deep understanding of the concepts instead of relying solely on memorization and recall of facts. Students could keep their Patterns and Rules icon cards in theirSAMPLE notebooks as the topics of pH and metabolism reemerge throughout the year. Deep and Complex Look Books by Paula Wilkes and Mark Szymanski 65 © J Taylor Education, 2006, 2008 LEVEL TWO SAMPLE PAGES A Deep and Complex Look at Biography: Jackie Robinson Ethics What conflict exists? Multiple Perspectives How do experts view this topic? 1. Institutional conflicts - law, baseball • He continued breaking the color barrier in aspects of life after baseball (military, TV) 2. Personal conflicts - interpersonal & intrapersonal • Forced the public to take a position on whether desegregation was right 3. Team Conflicts - inter and intra or wrong in all aspects of life. • His success on the field showed people that skin color had nothing to Good vs. Bad do with his ability. Prejudices Write a persuasive statement about this topic. Looking at Something Differently How do you view this topic? Controversies Jackie Robinson’s life forced other people to question their The things he did in his life impacted a lot of institutions. positions on race. List the ethical issues you find. List the other viewpoints. • institutional racism 1. Public - positive for future • personal conduct generations, civil rights • exploitation of Mr. Create a drawing about this conflict. 2. Good for baseball - Draw this topic from several points of view. Robinson by Mr. Ricky improved the skill in the sport 3. Family - difficult for his Different ethical positions: family and himself • Hedonism - maximizing 4.
Recommended publications
  • Geometry in Design Geometrical Construction in 3D Forms by Prof
    D’source 1 Digital Learning Environment for Design - www.dsource.in Design Course Geometry in Design Geometrical Construction in 3D Forms by Prof. Ravi Mokashi Punekar and Prof. Avinash Shide DoD, IIT Guwahati Source: http://www.dsource.in/course/geometry-design 1. Introduction 2. Golden Ratio 3. Polygon - Classification - 2D 4. Concepts - 3 Dimensional 5. Family of 3 Dimensional 6. References 7. Contact Details D’source 2 Digital Learning Environment for Design - www.dsource.in Design Course Introduction Geometry in Design Geometrical Construction in 3D Forms Geometry is a science that deals with the study of inherent properties of form and space through examining and by understanding relationships of lines, surfaces and solids. These relationships are of several kinds and are seen in Prof. Ravi Mokashi Punekar and forms both natural and man-made. The relationships amongst pure geometric forms possess special properties Prof. Avinash Shide or a certain geometric order by virtue of the inherent configuration of elements that results in various forms DoD, IIT Guwahati of symmetry, proportional systems etc. These configurations have properties that hold irrespective of scale or medium used to express them and can also be arranged in a hierarchy from the totally regular to the amorphous where formal characteristics are lost. The objectives of this course are to study these inherent properties of form and space through understanding relationships of lines, surfaces and solids. This course will enable understanding basic geometric relationships, Source: both 2D and 3D, through a process of exploration and analysis. Concepts are supported with 3Dim visualization http://www.dsource.in/course/geometry-design/in- of models to understand the construction of the family of geometric forms and space interrelationships.
    [Show full text]
  • CONVERGENCE of the RATIO of PERIMETER of a REGULAR POLYGON to the LENGTH of ITS LONGEST DIAGONAL AS the NUMBER of SIDES of POLYGON APPROACHES to ∞ Pawan Kumar B.K
    CONVERGENCE OF THE RATIO OF PERIMETER OF A REGULAR POLYGON TO THE LENGTH OF ITS LONGEST DIAGONAL AS THE NUMBER OF SIDES OF POLYGON APPROACHES TO ∞ Pawan Kumar B.K. Kathmandu, Nepal Corresponding to: Pawan Kumar B.K., email: [email protected] ABSTRACT Regular polygons are planar geometric structures that are used to a great extent in mathematics, engineering and physics. For all size of a regular polygon, the ratio of perimeter to the longest diagonal length is always constant and converges to the value of 휋 as the number of sides of the polygon approaches to ∞. The purpose of this paper is to introduce Bishwakarma Ratio Formulas through mathematical explanations. The Bishwakarma Ratio Formulae calculate the ratio of perimeter of regular polygon to the longest diagonal length for all possible regular polygons. These ratios are called Bishwakarma Ratios- often denoted by short term BK ratios- as they have been obtained via Bishwakarma Ratio Formulae. The result has been shown to be valid by actually calculating the ratio for each polygon by using corresponding formula and geometrical reasoning. Computational calculations of the ratios have also been presented upto 30 and 50 significant figures to validate the convergence. Keywords: Regular Polygon, limit, 휋, convergence INTRODUCTION A regular polygon is a planar geometrical structure with equal sides and equal angles. For a 푛(푛−3) regular polygon of 푛 sides there are diagonals. Each angle of a regular polygon of n sides 2 푛−2 is given by ( ) 180° while the sum of interior angles is (푛 − 2)180°. The angle made at the 푛 center of any polygon by lines from any two consecutive vertices (center angle) of a polygon of 360° sides 푛 is given by .
    [Show full text]
  • Mcgraw-HILL New York Chicago San Francisco Lisbon London Madrid Mexico City Milan New Delhi San Juan Seoul Singapore Sydney Toronto
    GEOMETRY DEMYSTIFIED STAN GIBILISCO McGRAW-HILL New York Chicago San Francisco Lisbon London Madrid Mexico City Milan New Delhi San Juan Seoul Singapore Sydney Toronto [11:38 6/6/ 69 n:4069 GIBI- ebook_copyright 7.5x9.qxd 9/29/03 11:39 AM Page 1 Copyright © 2003 by The McGraw-Hill Companies, Inc. All rights reserved. Manufactured in the United States of America. Except as per- mitted under the United States Copyright Act of 1976, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the publisher. 0-07-143389-9 The material in this eBook also appears in the print version of this title: 0-07-141650-1. All trademarks are trademarks of their respective owners. Rather than put a trademark symbol after every occurrence of a trademarked name, we use names in an editorial fashion only, and to the benefit of the trademark owner, with no intention of infringement of the trademark. Where such designations appear in this book, they have been printed with initial caps. McGraw-Hill eBooks are available at special quantity discounts to use as premiums and sales promotions, or for use in corporate train- ing programs. For more information, please contact George Hoare, Special Sales, at [email protected] or (212) 904- 4069. TERMS OF USE This is a copyrighted work and The McGraw-Hill Companies, Inc. (“McGraw-Hill”) and its licensors reserve all rights in and to the work. Use of this work is subject to these terms.
    [Show full text]
  • Summary of Introductory Geometry Terminology
    MAT104: Fundamentals of Mathematics II Introductory Geometry Terminology Summary Section 11-1: Basic Notions Undefined Terms: Point; Line; Plane Collinear Points: points that lie on the same line Between[-ness]: exactly what the term implies with regard to points [Line] Segment: part of a line consisting of (and named by) two endpoints and all points between them Closed Segment: segment with two included endpoints Half-Open Segment: segment with one included endpoint (also called Half-Closed Segment) Open Segment: segment with no included endpoints Ray: part of a line consisting of one endpoint, a second unique point on the line, all points between them, and all points that have the aforementioned second point between them and the endpoint Half-Line: part of a line on one side of a point on the line (does not include the point) Coplanar: lying on the same plane (points, lines, or parts of lines) Noncoplanar: not coplanar Intersecting Lines: lines with exactly one point in common Skew Lines: lines that cannot be contained in a single plane Concurrent Lines: three or more lines that intersect in the same point Coinciding Lines: identical lines; lines intersecting at every point Parallel Lines: either: a) nonintersecting coplanar lines; or b) two lines that are actually the same line (any line is parallel to itself; coinciding lines as defined above); symbol is Intersecting Planes: planes with exactly one line in common Coinciding Planes: identical planes; planes intersecting at every line Parallel Planes: either: a) nonintersecting planes; or b) two planes that are actually the same plane (any plane is parallel to itself; coinciding planes as defined above) Parallel Line and Plane: a line and plane that either: a) do not intersect in any point; or b) intersect in every point on the line Half-Plane: part of a plane on one side of a line in the plane (does not include the line) Prof.
    [Show full text]
  • Name: Date: WORKSHEET : Polygons a Polygon Is a Closed, Planar
    Name: Date: WORKSHEET : Polygons A polygon is a closed, planar shape connected by straight lines. Polygons can be categorized as regular or irregular. Polygons can be categorized as convex or concave. Polygons can be categorized as simple or complex. WORKSHEET : Polygons Interior/Exterior Angles ANSWERS : Polygons Interior/Exterior Angles KEY CONCEPTS: Definition of polygons and interior/exterior angle measures. 1. A polygon is a closed, planar shape connected by straight lines. a. Not closed ≠ polygon b. Not all straight lines ≠ polygon c. Planar means it is 2 dimensional; on an x-y coordinate plane for example d. Definitions of terms i. Vertex = The point where two lines meet on the polygon ii. Interior Angle = The angle inside the polygon between adjacent sides iii. Exterior Angle = If a line is extended from one side of the polygon past the vertex then the exterior angle is the angle between that line and the next adjacent side. 2. Names of polygons depend on the number of sides or interior angles (the same value). The smallest number of sides for a two dimensional polygon is 3. As n approaches infinity the polygon approaches a circle, but a circle is not a polygon due to its curves. Number of Sides, (n) Polygon Name 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 7 Septagon(or Heptagon) 8 Octagon 10 Decagon 12 Dodecagon 15 Pentadecagon 100 Hecatgon 1,000 Chiliagon 1,000,000 Megagon 10100 Googolgon 3. The sum of interior angles of any n-sided polygon is... Sum Interior Angles = 180(n - 2) expressed in degrees e.g.
    [Show full text]
  • Polygon from Wikipedia, the Free Encyclopedia for Other Uses, See Polygon (Disambiguation)
    Polygon From Wikipedia, the free encyclopedia For other uses, see Polygon (disambiguation). In elementary geometry, a polygon /ˈpɒlɪɡɒn/ is a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed chain or circuit. These segments are called its edges or sides, and the points where two edges meet are the polygon's vertices (singular: vertex) or corners. The interior of the polygon is sometimes called its body. An n-gon is a polygon with n sides. A polygon is a 2-dimensional example of the more general polytope in any number of dimensions. Some polygons of different kinds: open (excluding its The basic geometrical notion of a polygon has been adapted in various ways to suit particular purposes. boundary), bounding circuit only (ignoring its interior), Mathematicians are often concerned only with the bounding closed polygonal chain and with simple closed (both), and self-intersecting with varying polygons which do not self-intersect, and they often define a polygon accordingly. A polygonal boundary may densities of different regions. be allowed to intersect itself, creating star polygons. Geometrically two edges meeting at a corner are required to form an angle that is not straight (180°); otherwise, the line segments may be considered parts of a single edge; however mathematically, such corners may sometimes be allowed. These and other generalizations of polygons are described below. Contents 1 Etymology 2 Classification 2.1 Number of sides 2.2 Convexity and non-convexity 2.3 Equality
    [Show full text]
  • Ged Level 1 Social Studies
    The contents of this textbook may not be copied or printed in whole or in part, nor may any form of access be granted to any other person other than the registered student. Once you cease being a student or complete this course, this book will be disabled. Thank you Page 1 of 366 Table of Contents Page Lessons Topic Number 1 Introduction to Math’s 8-12 2 Introduction to Math’s - Roman Numerals 13-16 3 Number Systems 16-23 4 Number Systems 16-23 5 Factors and Multiples 23-26 6 Worksheet - Factors 26 7 Worksheet - Factors 26 8 Squares 26-31 9 Worksheet - Squares 31 10 Cubes 31-39 11 Cubes 31-39 12 Worksheet - Cubes 40 13 Number Patterns and Sequences 40-43 14 Worksheet - Number Patterns 43 15 Worksheet - Number Patterns 43 16 Rational and Irrational Numbers 43-57 17 Rational and Irrational Numbers 43-57 18 Worksheet - Classifying Numbers 57 19 Worksheet - Classifying Numbers 57 20 Negative Numbers 57-68 21 Negative Numbers 57-68 22 Two Dimensional Shapes and Measurement 68-69 23 Theorem of Pythagoras 70-76 24 Theorem of Pythagoras 70-76 Warning! This information is protected by copyright laws and may not be copied or reproduced. Report violations c/o www.cyberschoolgroup.com The contents of this textbook may not be copied or printed in whole or in part, nor may any form of access be granted to any other person other than the registered student. Once you cease being a student or complete this course, this book will be disabled.
    [Show full text]
  • Geometry Demystified (Mcgraw-Hill, 2003)
    DOI Page 7.38x9.25 9/23/02 11:02 AM Page 1 Want to learn more? , We hope you enjoy this McGraw-Hill eBook! If you d like more information about this book, its author, or related books and websites, please click here. GEOMETRY DEMYSTIFIED STAN GIBILISCO McGRAW-HILL New York Chicago San Francisco Lisbon London Madrid Mexico City Milan New Delhi San Juan Seoul Singapore Sydney Toronto [11:38 6/6/ 69 n:4069 GIBI- ebook_copyright 7.5x9.qxd 9/29/03 11:39 AM Page 1 Copyright © 2003 by The McGraw-Hill Companies, Inc. All rights reserved. Manufactured in the United States of America. Except as per- mitted under the United States Copyright Act of 1976, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the publisher. 0-07-143389-9 The material in this eBook also appears in the print version of this title: 0-07-141650-1. All trademarks are trademarks of their respective owners. Rather than put a trademark symbol after every occurrence of a trademarked name, we use names in an editorial fashion only, and to the benefit of the trademark owner, with no intention of infringement of the trademark. Where such designations appear in this book, they have been printed with initial caps. McGraw-Hill eBooks are available at special quantity discounts to use as premiums and sales promotions, or for use in corporate train- ing programs. For more information, please contact George Hoare, Special Sales, at [email protected] or (212) 904- 4069.
    [Show full text]
  • Information for Teachers
    INFORMATION FOR TEACHERS The math behind DragonBox Elements - explore the elements of geometry - Includes exercises and topics for discussion GeneralDragonBox information Elements Teaches geometry through play and exploration DragonBox Elements is a game which was designed to teach the big ideas of Euclidian geometry through play and exploration. It is also an excellent way to help students enjoy doing proofs and play with geometric concepts from their curriculum. The best way to use the game is to discover and discuss the game with the students and embark on a learning journey that will challenge how they experience geometry. In this document, we provide some general information about DragonBox Elements, more about the math behind the game, and suggestions for exercises and useful topics for discussion. It is important that after each new rule or chapter, the students describe what they have experienced in the game in their own words and discuss with each other. By relating the discussion to the curriculum, we create a link between the game and the math behind which gives a great learning effect. Content of the game Chapters Figures and controls ---- ---- ---- DragonBox Elements includes The levels are organized in 7 The player will meet different more than 110 different levels different chapters. In each chapter, figures in the game, each of which where you can explore the you learn new rules, or “powers”. symbolize a shape or a property. properties, definitions andThe levels which include new To select a shape or figure in the relations of geometric shapes powers are marked with a crown game, you tap it.
    [Show full text]