%PDF-1.3
1 0 obj
<< /Type /Catalog
/Outlines 2 0 R
/Pages 3 0 R >>
endobj
2 0 obj
<< /Type /Outlines /Count 0 >>
endobj
3 0 obj
<< /Type /Pages
/Kids [6 0 R
9 0 R
11 0 R
13 0 R
15 0 R
17 0 R
19 0 R
21 0 R
23 0 R
25 0 R
27 0 R
29 0 R
31 0 R
33 0 R
]
/Count 14
/Resources <<
/ProcSet 4 0 R
/Font <<
/F1 8 0 R
>>
>>
/MediaBox [0.000 0.000 841.890 595.280]
>>
endobj
4 0 obj
[/PDF /Text ]
endobj
5 0 obj
<<
/Producer (Adobe Acrobat Version: 6.1.0)
/CreationDate (D:20220925171012+00'00')
/ModDate (D:20220925171012+00'00')
/Title (Bookmark File PDF 5 1 Ratios Big Ideas Math ? - backoffice.metabolismofcities.org)
/Subject (backoffice.metabolismofcities.org)
/Author (Broadview Press)
/Keywords (Download Free Bookmark File PDF 5 1 Ratios Big Ideas Math ? - backoffice.metabolismofcities.org)
>>
endobj
6 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 841.890 595.280]
/Parent 3 0 R
/Contents 7 0 R
>>
endobj
7 0 obj
<<
/Length 3163 >>
stream
0.000 0.000 0.000 rg
BT 34.016 514.330 Td /F1 28.5 Tf [(5 1 Ratios Big Ideas Math)] TJ ET
BT 34.016 460.106 Td /F1 14.2 Tf [(Eventually, you will utterly discover a supplementary experience and success by spending more cash. nevertheless )] TJ ET
BT 34.016 442.707 Td /F1 14.2 Tf [(when? get you admit that you require to get those every needs in the manner of having significantly cash? Why dont you )] TJ ET
BT 34.016 425.308 Td /F1 14.2 Tf [(attempt to acquire something basic in the beginning? Thats something that will guide you to understand even more on the )] TJ ET
BT 34.016 407.909 Td /F1 14.2 Tf [(order of the globe, experience, some places, later than history, amusement, and a lot more? )] TJ ET
BT 34.016 373.409 Td /F1 14.2 Tf [(It is your agreed own mature to proceed reviewing habit. along with guides you could enjoy now is )] TJ ET
BT 654.176 373.409 Td /F1 14.2 Tf [(5 1 Ratios Big Ideas )] TJ ET
BT 34.016 356.010 Td /F1 14.2 Tf [(Math)] TJ ET
BT 65.693 356.010 Td /F1 14.2 Tf [( below.)] TJ ET
BT 34.016 293.011 Td /F1 14.2 Tf [(Understanding and Teaching Primary Mathematics)] TJ ET
BT 354.755 293.011 Td /F1 14.2 Tf [( Tony Cotton 2016-05-26 Written by an education consultant with )] TJ ET
BT 34.016 275.612 Td /F1 14.2 Tf [(widespread experience of teaching mathematics in the UK and internationally, Understanding and Teaching Primary )] TJ ET
BT 34.016 258.212 Td /F1 14.2 Tf [(Mathematics seamlessly combines pedagogy and subject knowledge to build confidence and equip you with all the skills )] TJ ET
BT 34.016 240.813 Td /F1 14.2 Tf [(and know-how you need to successfully teach mathematics to children of any age. This 3rd edition has been fully updated )] TJ ET
BT 34.016 223.414 Td /F1 14.2 Tf [(to reflect the latest research developments and initiatives in the field, as well as key changes to both the UK National )] TJ ET
BT 34.016 206.015 Td /F1 14.2 Tf [(Curriculum and International Baccalaureate, including a brand new chapter on ‘Algebra’ and a reworked focus on the early )] TJ ET
BT 34.016 188.615 Td /F1 14.2 Tf [(years. Extra features also include helpful call-outs to the book’s revised and updated companion website, which offers a )] TJ ET
BT 34.016 171.216 Td /F1 14.2 Tf [(shared site with a range of resources relevant to both this book and its new companion volume, Teaching for )] TJ ET
BT 34.016 153.817 Td /F1 14.2 Tf [(Mathematical Understanding. Stimulating, accessible and well-illustrated, with comprehensive coverage of subject )] TJ ET
BT 34.016 136.418 Td /F1 14.2 Tf [(knowledge and pedagogy, Understanding and Teaching Primary Mathematics is an essential purchase for trainee and )] TJ ET
BT 34.016 119.018 Td /F1 14.2 Tf [(practising teachers alike. Companion website features new to this edition include: video clips in which the author )] TJ ET
BT 34.016 101.619 Td /F1 14.2 Tf [(demonstrates the concepts covered in the book through teaching to a real class PowerPoint presentations which provide )] TJ ET
BT 34.016 84.220 Td /F1 14.2 Tf [(support for those using the book as a part of a teacher training course updated weblinks to external sites with useful )] TJ ET
endstream
endobj
8 0 obj
<< /Type /Font
/Subtype /Type1
/Name /F1
/BaseFont /Helvetica
/Encoding /WinAnsiEncoding
>>
endobj
9 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 841.890 595.280]
/Parent 3 0 R
/Contents 10 0 R
>>
endobj
10 0 obj
<<
/Length 4803 >>
stream
0.000 0.000 0.000 rg
BT 34.016 547.345 Td /F1 14.2 Tf [(teaching information and resources)] TJ ET
BT 34.016 529.946 Td /F1 14.2 Tf [(Your Mathematics Standards Companion, Grades 6-8)] TJ ET
BT 373.778 529.946 Td /F1 14.2 Tf [( Ruth Harbin Miles 2017-05-25 Transforming the standards into )] TJ ET
BT 34.016 512.546 Td /F1 14.2 Tf [(learning outcomes just got a lot easier In this resource, you can see in an instant how teaching to your state standards )] TJ ET
BT 34.016 495.147 Td /F1 14.2 Tf [(should look and sound in the classroom. Under the premise that math is math, the authors provide a Cross-Referencing )] TJ ET
BT 34.016 477.748 Td /F1 14.2 Tf [(Index for states implementing their own specific mathematics standards, allowing you to see and understand which page )] TJ ET
BT 34.016 460.349 Td /F1 14.2 Tf [(number to turn to for standards-based teaching ideas. It’s all here, page by page: Get the inside scoop on which )] TJ ET
BT 34.016 442.949 Td /F1 14.2 Tf [(standards connect, what key vocabulary means, and time-saving tables showing where to focus instruction for each grade )] TJ ET
BT 34.016 425.550 Td /F1 14.2 Tf [(Write curriculum for: ratios and proportional relationships, the number system, expressions and equations, functions, )] TJ ET
BT 34.016 408.151 Td /F1 14.2 Tf [(geometry, and statistics & probability Use the What to Teach pages to deliver powerful standards-based lessons Learn )] TJ ET
BT 34.016 390.752 Td /F1 14.2 Tf [(effective techniques to create an environment where all students can experience math break-throughs Incorporate the )] TJ ET
BT 34.016 373.352 Td /F1 14.2 Tf [(Standards for Mathematical Practice to improve students’ ability to problem solve, construct viable arguments, use tools )] TJ ET
BT 34.016 355.953 Td /F1 14.2 Tf [(strategically, attend to precision, and more Cross-referenced index listing the standards in the following states, explaining )] TJ ET
BT 34.016 338.554 Td /F1 14.2 Tf [(what is unique to the standards of each state Your Mathematics Standards Companion is your one-stop guide for )] TJ ET
BT 34.016 321.155 Td /F1 14.2 Tf [(teaching, planning, assessing, collaborating, and designing powerful mathematics curriculum.)] TJ ET
BT 34.016 303.755 Td /F1 14.2 Tf [(The Four Roles of the Numerate Learner)] TJ ET
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
34.016 301.404 m 291.413 301.404 l S
BT 291.413 303.755 Td /F1 14.2 Tf [( Mary Fiore 2016-03-14 This timely book builds on our current understanding of )] TJ ET
BT 34.016 286.356 Td /F1 14.2 Tf [(how to effectively teach mathematics, and borrows from the successful frameworks used to teach literacy. It introduces a )] TJ ET
BT 34.016 268.957 Td /F1 14.2 Tf [(numeracy framework— sense maker, skill user, thought communicator, and critical interpreter—that supports an )] TJ ET
BT 34.016 251.558 Td /F1 14.2 Tf [(integrated approach to math instruction. It considers the mathematical practices students need to learn to construct )] TJ ET
BT 34.016 234.158 Td /F1 14.2 Tf [(number knowledge, become mathematicians, and simply “do math”. The goal is to provide multiple entry points into the )] TJ ET
BT 34.016 216.759 Td /F1 14.2 Tf [(world of math instruction—a new way of thinking and learning where learners engage in critical thinking about numeracy )] TJ ET
BT 34.016 199.360 Td /F1 14.2 Tf [(and act on their knowledge.)] TJ ET
BT 34.016 181.961 Td /F1 14.2 Tf [(Big Ideas in Primary Mathematics)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 179.609 m 246.241 179.609 l S
BT 246.241 181.961 Td /F1 14.2 Tf [( Robert Newell 2021-04-13 This book explains ‘big ideas’ in mathematics in simple )] TJ ET
BT 34.016 164.561 Td /F1 14.2 Tf [(terms supported by classroom examples to show how they can be applied in primary schools to enable learning. Carefully )] TJ ET
BT 34.016 147.162 Td /F1 14.2 Tf [(linked to the National Curriculum, it covers all the major concepts so you can develop your own mathematical subject )] TJ ET
BT 34.016 129.763 Td /F1 14.2 Tf [(knowledge and to give you the confidence to deepen your understanding of the children you teach. This second edition )] TJ ET
BT 34.016 112.364 Td /F1 14.2 Tf [(includes: · A new ‘links with mastery’ feature showing how to teach with mastery in mind · A new glossary of key terms · )] TJ ET
BT 34.016 94.964 Td /F1 14.2 Tf [(New big ideas and activities throughout)] TJ ET
BT 34.016 77.565 Td /F1 14.2 Tf [(Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 7)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 75.214 m 479.129 75.214 l S
BT 479.129 77.565 Td /F1 14.2 Tf [( Jo Boaler 2019-07-05 Engage students in )] TJ ET
BT 34.016 60.166 Td /F1 14.2 Tf [(mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging )] TJ ET
endstream
endobj
11 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 841.890 595.280]
/Parent 3 0 R
/Contents 12 0 R
>>
endobj
12 0 obj
<<
/Length 4846 >>
stream
0.000 0.000 0.000 rg
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
BT 34.016 547.345 Td /F1 14.2 Tf [(students and helping them understand the connections between mathematics concepts. In this volume, you'll find a )] TJ ET
BT 34.016 529.946 Td /F1 14.2 Tf [(collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the seventh-grade )] TJ ET
BT 34.016 512.546 Td /F1 14.2 Tf [(level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo )] TJ ET
BT 34.016 495.147 Td /F1 14.2 Tf [(Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into )] TJ ET
BT 34.016 477.748 Td /F1 14.2 Tf [(their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to )] TJ ET
BT 34.016 460.349 Td /F1 14.2 Tf [(teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that )] TJ ET
BT 34.016 442.949 Td /F1 14.2 Tf [(reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student )] TJ ET
BT 34.016 425.550 Td /F1 14.2 Tf [(test scores, and more importantly change their relationship with mathematics and start believing in their own potential. )] TJ ET
BT 34.016 408.151 Td /F1 14.2 Tf [(The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person - )] TJ ET
BT 34.016 390.752 Td /F1 14.2 Tf [(anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain )] TJ ET
BT 34.016 373.352 Td /F1 14.2 Tf [(growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think )] TJ ET
BT 34.016 355.953 Td /F1 14.2 Tf [(visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get )] TJ ET
BT 34.016 338.554 Td /F1 14.2 Tf [(excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections )] TJ ET
BT 34.016 321.155 Td /F1 14.2 Tf [(within the Common Core State Standards \(CCSS\) and can be used with any current curriculum.)] TJ ET
BT 34.016 303.755 Td /F1 14.2 Tf [(New National Framework Mathematics 9 Core)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 301.404 m 325.414 301.404 l S
BT 325.414 303.755 Td /F1 14.2 Tf [( M. J. Tipler 2014-11-01 New National Framework Mathematics features )] TJ ET
BT 34.016 286.356 Td /F1 14.2 Tf [(extensive teacher support materials which include dedicated resources to support each Core and Plus Book. The 9 Core )] TJ ET
BT 34.016 268.957 Td /F1 14.2 Tf [(Teacher Planning Pack contains Teacher Notes for every chapter with a 'Self-contained lesson plan' for each of the units )] TJ ET
BT 34.016 251.558 Td /F1 14.2 Tf [(in the pupil books.)] TJ ET
BT 34.016 234.158 Td /F1 14.2 Tf [(Maths Mate – 7 NEW)] TJ ET
BT 169.433 234.158 Td /F1 14.2 Tf [( Madhubun 1. It is a series of eight textbooks for Classes 1 to 8 that conforms to the vision of )] TJ ET
BT 34.016 216.759 Td /F1 14.2 Tf [(National Curriculum Framework and is written in accordance with the latest syllabus of the CBSE. 2. Learning Objectives: )] TJ ET
BT 34.016 199.360 Td /F1 14.2 Tf [(Lists well what a learner will know and be able to do after studying the chapter. 3. Let’s Recall: Refreshes the concepts )] TJ ET
BT 34.016 181.961 Td /F1 14.2 Tf [(learnt in the form of a revision exercise to brush up the concepts taught in previous chapters or grades. 4. Let’s Begin: )] TJ ET
BT 34.016 164.561 Td /F1 14.2 Tf [(Introduction to the chapter. 5. My Notes: Tips to help the learner remember the important points/formulae taught in the )] TJ ET
BT 34.016 147.162 Td /F1 14.2 Tf [(chapter. 6. Let’s Try: Simple straight forward questions for quick practice while studying any topic based on the first two )] TJ ET
BT 34.016 129.763 Td /F1 14.2 Tf [(levels of Bloom’s Taxonomy —Knowledge and Understanding. 7. Error Alarm: Common mistakes which learners commit )] TJ ET
BT 34.016 112.364 Td /F1 14.2 Tf [(often along with the correct way of doing the same. 8. Know More: Additional information for the learners relating to the )] TJ ET
BT 34.016 94.964 Td /F1 14.2 Tf [(concepts learnt in the chapter 9. Maths in My Life includes questions relating Maths to daily life and which can help relate )] TJ ET
BT 34.016 77.565 Td /F1 14.2 Tf [(the topic with the environment \(life\) around us. 10. Tricky Maths: Challenge questions to help the learners build thinking )] TJ ET
BT 34.016 60.166 Td /F1 14.2 Tf [(skills and reasoning skills by solving tricky questions. 11. Project Work: Projects which can help learners connect Math )] TJ ET
endstream
endobj
13 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 841.890 595.280]
/Parent 3 0 R
/Contents 14 0 R
>>
endobj
14 0 obj
<<
/Length 4652 >>
stream
0.000 0.000 0.000 rg
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
BT 34.016 547.345 Td /F1 14.2 Tf [(with our daily life or that take the concepts learnt to a new level. 12. Concept Map: Summary points to list the important )] TJ ET
BT 34.016 529.946 Td /F1 14.2 Tf [(concepts learnt in the chapter in a crisp form. 13. Test Zone: Revision exercise of the concepts learnt in the chapter. This )] TJ ET
BT 34.016 512.546 Td /F1 14.2 Tf [(includes both objective and subjective type of questions. 14. Mental Maths: Maths problems for performing faster )] TJ ET
BT 34.016 495.147 Td /F1 14.2 Tf [(calculations mentally. 15. Maths Master: Involves deep critical thinking of learners about any topic, concept, relation, fact )] TJ ET
BT 34.016 477.748 Td /F1 14.2 Tf [(or anything related to that chapter. May have open ended questions or extension of the topic. 16. Application in Real-Life: )] TJ ET
BT 34.016 460.349 Td /F1 14.2 Tf [(Every chapter in each book also explains how and where it is used in daily life. 17. In the Lab: Math lab activities for )] TJ ET
BT 34.016 442.949 Td /F1 14.2 Tf [(helping the learners understand the concepts learnt through hands-on experience. 18. Practice Zone: Chapter-wise )] TJ ET
BT 34.016 425.550 Td /F1 14.2 Tf [(practice sheets includes subjective questions for additional practice which are a part of each book.)] TJ ET
BT 34.016 408.151 Td /F1 14.2 Tf [(Mathematics Of Harmony As A New Interdisciplinary Direction And "Golden" Paradigm Of Modern Science - Volume 1: )] TJ ET
BT 34.016 390.752 Td /F1 14.2 Tf [(The Golden Section, Fibonacci Numbers, Pascal Triangle, And Platonic Solids)] TJ ET
BT 527.422 390.752 Td /F1 14.2 Tf [( Stakhov Alexey 2020-05-05 )] TJ ET
BT 34.016 373.352 Td /F1 14.2 Tf [(Student Solutions Manual for Bello/Kaul/Britton's Topics in Contemporary Mathematics, 10th)] TJ ET
BT 615.686 373.352 Td /F1 14.2 Tf [( Ignacio Bello 2013-04-22 )] TJ ET
BT 34.016 355.953 Td /F1 14.2 Tf [(Prepare for exams and succeed in your mathematics course with this comprehensive solutions manual! Featuring worked )] TJ ET
BT 34.016 338.554 Td /F1 14.2 Tf [(out-solutions to the problems in TOPICS IN CONTEMPORARY MATHEMATICS, 10th Edition, this manual shows you )] TJ ET
BT 34.016 321.155 Td /F1 14.2 Tf [(how to approach and solve problems using the same step-by-step explanations found in your textbook examples. )] TJ ET
BT 34.016 303.755 Td /F1 14.2 Tf [(Important Notice: Media content referenced within the product description or the product text may not be available in the )] TJ ET
BT 34.016 286.356 Td /F1 14.2 Tf [(ebook version.)] TJ ET
BT 34.016 268.957 Td /F1 14.2 Tf [(Intensifying Mathematics Interventions for Struggling Students)] TJ ET
BT 425.278 268.957 Td /F1 14.2 Tf [( Diane Pedrotty Bryant 2021-06-14 "This book, Intensive )] TJ ET
BT 34.016 251.558 Td /F1 14.2 Tf [(Mathematics Interventions, provides a thorough background knowledge about mathematics difficulties across the grade )] TJ ET
BT 34.016 234.158 Td /F1 14.2 Tf [(span. Even more valuable to educators-this book provides user friendly guidance on how to address all of the elements of )] TJ ET
BT 34.016 216.759 Td /F1 14.2 Tf [(mathematics difficulties from preschool to secondary grades. Each topic provides clear guidance to support decision )] TJ ET
BT 34.016 199.360 Td /F1 14.2 Tf [(making about intensive instruction including examples, ideas, practices, and suggestions. You will learn about the )] TJ ET
BT 34.016 181.961 Td /F1 14.2 Tf [(characteristics of students with math difficulties, how to use date to progress monitor them, how to intensify interventions, )] TJ ET
BT 34.016 164.561 Td /F1 14.2 Tf [(specific evidence-based practices for addressing early numeracy, time and money, whole numbers, rational numbers, )] TJ ET
BT 34.016 147.162 Td /F1 14.2 Tf [(word problem solving strategies, algebra and even technology"--)] TJ ET
BT 34.016 129.763 Td /F1 14.2 Tf [(Mathematics - Connection And Beyond: Yearbook 2020 Association Of Mathematics Educators)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 127.412 m 634.368 127.412 l S
BT 634.368 129.763 Td /F1 14.2 Tf [( Tin Lam Toh 2021-04-26 )] TJ ET
BT 34.016 112.364 Td /F1 14.2 Tf [(This book contains 11 chapters from various experts all over the world on mathematics education. It provides different )] TJ ET
BT 34.016 94.964 Td /F1 14.2 Tf [(perspective of how to establish connection within mathematics and beyond. The ideas are from different authors )] TJ ET
BT 34.016 77.565 Td /F1 14.2 Tf [(internationally and is practice-oriented, based on empirical studies conducted by the various authors. This is a good )] TJ ET
endstream
endobj
15 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 841.890 595.280]
/Parent 3 0 R
/Contents 16 0 R
>>
endobj
16 0 obj
<<
/Length 4656 >>
stream
0.000 0.000 0.000 rg
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
BT 34.016 547.345 Td /F1 14.2 Tf [(illustration of linking theory with practice.)] TJ ET
BT 34.016 529.946 Td /F1 14.2 Tf [(Essential Mathematics for the Australian Curriculum Year 9)] TJ ET
BT 407.009 529.946 Td /F1 14.2 Tf [( David Greenwood 2011-04 Essential Mathematics for the )] TJ ET
BT 34.016 512.546 Td /F1 14.2 Tf [(Australian Curriculum provides an authoritative and practical interpretation of all content strands, substrands and content )] TJ ET
BT 34.016 495.147 Td /F1 14.2 Tf [(descriptions.)] TJ ET
BT 34.016 477.748 Td /F1 14.2 Tf [(Architecture and Mathematics from Antiquity to the Future)] TJ ET
BT 398.331 477.748 Td /F1 14.2 Tf [( Kim Williams 2015-02-11 Every age and every culture has )] TJ ET
BT 34.016 460.349 Td /F1 14.2 Tf [(relied on the incorporation of mathematics in their works of architecture to imbue the built environment with meaning and )] TJ ET
BT 34.016 442.949 Td /F1 14.2 Tf [(order. Mathematics is also central to the production of architecture, to its methods of measurement, fabrication and )] TJ ET
BT 34.016 425.550 Td /F1 14.2 Tf [(analysis. This two-volume edited collection presents a detailed portrait of the ways in which two seemingly different )] TJ ET
BT 34.016 408.151 Td /F1 14.2 Tf [(disciplines are interconnected. Over almost 100 chapters it illustrates and examines the relationship between architecture )] TJ ET
BT 34.016 390.752 Td /F1 14.2 Tf [(and mathematics. Contributors of these chapters come from a wide range of disciplines and backgrounds: architects, )] TJ ET
BT 34.016 373.352 Td /F1 14.2 Tf [(mathematicians, historians, theoreticians, scientists and educators. Through this work, architecture may be seen and )] TJ ET
BT 34.016 355.953 Td /F1 14.2 Tf [(understood in a new light, by professionals as well as non-professionals. Volume II covers architecture from the Late )] TJ ET
BT 34.016 338.554 Td /F1 14.2 Tf [(Renaissance era, through Baroque, Ottoman, Enlightenment, Modern and contemporary styles and approaches. Key )] TJ ET
BT 34.016 321.155 Td /F1 14.2 Tf [(figures covered in this volume include Palladio, Michelangelo, Borromini, Sinan, Wren, Wright, Le Corbusier, Breuer, )] TJ ET
BT 34.016 303.755 Td /F1 14.2 Tf [(Niemeyer and Kahn. Mathematical themes which are considered include linear algebra, tiling and fractals and the )] TJ ET
BT 34.016 286.356 Td /F1 14.2 Tf [(geographic span of the volume’s content includes works in the United States of America and Australia, in addition to those )] TJ ET
BT 34.016 268.957 Td /F1 14.2 Tf [(in Europe and Asia.)] TJ ET
BT 34.016 251.558 Td /F1 14.2 Tf [(Complete Foundation Guide For IIT Jee Mathematics Class 8)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 249.206 m 421.288 249.206 l S
BT 421.288 251.558 Td /F1 14.2 Tf [( Satyasree Gupta K Contains large number of Solved )] TJ ET
BT 34.016 234.158 Td /F1 14.2 Tf [(Examples and Practice Questions. Answers, Hints and Solutions have been provided to boost up the morale and increase )] TJ ET
BT 34.016 216.759 Td /F1 14.2 Tf [(the confidence level.Self Assessment Sheets have been given at the end of each chapter tohelp the students to assess )] TJ ET
BT 34.016 199.360 Td /F1 14.2 Tf [(and evaluate their understanding of the concepts.)] TJ ET
BT 34.016 181.961 Td /F1 14.2 Tf [(Common Formative Assessments 2.0)] TJ ET
BT 271.577 181.961 Td /F1 14.2 Tf [( Larry Ainsworth 2014-11-14 Assessments that improve the speed and quality of )] TJ ET
BT 34.016 164.561 Td /F1 14.2 Tf [(learning—fully updated for teacher teams! In this expanded, all-new edition, author Larry Ainsworth provides a system of )] TJ ET
BT 34.016 147.162 Td /F1 14.2 Tf [(intentionally aligned components \(standards, instruction, assessments, and data analysis\) that all work together to )] TJ ET
BT 34.016 129.763 Td /F1 14.2 Tf [(improve student learning. Readers will learn to: Build the “highway” to aligned assessments Decide the learning intentions )] TJ ET
BT 34.016 112.364 Td /F1 14.2 Tf [(and student success criteria for a unit of study Evaluate and revise assessment questions for quality Plan the learning )] TJ ET
BT 34.016 94.964 Td /F1 14.2 Tf [(progressions for students to attain the learning intentions Create quick progress checks to coincide with the learning )] TJ ET
BT 34.016 77.565 Td /F1 14.2 Tf [(progressions Use assessment results as feedback to adjust instruction and student learning strategies Upgrade your )] TJ ET
BT 34.016 60.166 Td /F1 14.2 Tf [(CFAs using CFA 2.0! CFA 2.0 is so much more than assessment design. It shows teachers how they can intentionally )] TJ ET
endstream
endobj
17 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 841.890 595.280]
/Parent 3 0 R
/Contents 18 0 R
>>
endobj
18 0 obj
<<
/Length 4899 >>
stream
0.000 0.000 0.000 rg
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
BT 34.016 547.345 Td /F1 14.2 Tf [(align standards, instruction, assessment, and data analysis in every unit of study.)] TJ ET
BT 34.016 529.946 Td /F1 14.2 Tf [(Teaching Mathematics in Elementary and Middle School)] TJ ET
BT 389.610 529.946 Td /F1 14.2 Tf [( Joseph G. R. Martinez 2007 CD-ROM contains activities and )] TJ ET
BT 34.016 512.546 Td /F1 14.2 Tf [(handouts, math manipulatives and blackline masters, and mathematics in literature resource.)] TJ ET
BT 34.016 495.147 Td /F1 14.2 Tf [(A Focus on Ratios and Proportions)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 492.796 m 254.990 492.796 l S
BT 254.990 495.147 Td /F1 14.2 Tf [( Marjorie M. Petit 2020-05-17 This resource offers a groundbreaking effort to make )] TJ ET
BT 34.016 477.748 Td /F1 14.2 Tf [(mathematics education research on ratios and proportions readily accessible and understandable to preservice and in-)] TJ ET
BT 34.016 460.349 Td /F1 14.2 Tf [(service teachers of grades 6 to 8. Using extensive annotated samples of student work and based on research gathered in )] TJ ET
BT 34.016 442.949 Td /F1 14.2 Tf [(the Ongoing Assessment Project \(OGAP\), A Focus on Ratios and Proportions teaches readers how students develop )] TJ ET
BT 34.016 425.550 Td /F1 14.2 Tf [(understanding and fluency involving ratio and proportion concepts. Special features include: A close focus on student )] TJ ET
BT 34.016 408.151 Td /F1 14.2 Tf [(work, including 150+ annotated pieces of student work, to help teachers improve their ability to recognize, assess and )] TJ ET
BT 34.016 390.752 Td /F1 14.2 Tf [(monitor their students’ errors and misconceptions, as well as their developing conceptual understanding. A focus on the )] TJ ET
BT 34.016 373.352 Td /F1 14.2 Tf [(OGAP Ratios and Proportions Progression, based on research conducted with hundreds of teachers and thousands of )] TJ ET
BT 34.016 355.953 Td /F1 14.2 Tf [(pieces of student work. Sections on how Common Core State Standards for Math \(CCSSM\) are supported by math )] TJ ET
BT 34.016 338.554 Td /F1 14.2 Tf [(education research. Student work samples and vignettes to illuminate the research, as well as end of chapter Looking )] TJ ET
BT 34.016 321.155 Td /F1 14.2 Tf [(Back questions and Instructional Links, which allow teachers to analyze evidence of student thinking and strategies and )] TJ ET
BT 34.016 303.755 Td /F1 14.2 Tf [(consider instructional responses. An accompanying eResource, available online, offers an answer key as well as )] TJ ET
BT 34.016 286.356 Td /F1 14.2 Tf [(extensive explanation of the Looking Back questions. Like A Focus on Multiplication and Division and A Focus on )] TJ ET
BT 34.016 268.957 Td /F1 14.2 Tf [(Fractions, this book is designed to bridge the gap between what math education researchers know and what teachers )] TJ ET
BT 34.016 251.558 Td /F1 14.2 Tf [(need to know in order to better understand evidence in student work and make effective instructional decisions.)] TJ ET
BT 34.016 234.158 Td /F1 14.2 Tf [(Big Ideas In Mathematics: Yearbook 2019, Association Of Mathematics Educators)] TJ ET
BT 551.205 234.158 Td /F1 14.2 Tf [( Toh Tin Lam 2019-05-21 The new )] TJ ET
BT 34.016 216.759 Td /F1 14.2 Tf [(emphasis in the Singapore mathematics education is on Big Ideas \(Charles, 2005\). This book contains more than 15 )] TJ ET
BT 34.016 199.360 Td /F1 14.2 Tf [(chapters from various experts on mathematics education that describe various aspects of Big Ideas from theory to )] TJ ET
BT 34.016 181.961 Td /F1 14.2 Tf [(practice. It contains chapters that discuss the historical development of mathematical concepts, specific mathematical )] TJ ET
BT 34.016 164.561 Td /F1 14.2 Tf [(concepts in relation to Big Ideas in mathematics, the spirit of Big Ideas in mathematics and its enactment in the )] TJ ET
BT 34.016 147.162 Td /F1 14.2 Tf [(mathematics classroom.This book presents a wide spectrum of issues related to Big Ideas in mathematics education. On )] TJ ET
BT 34.016 129.763 Td /F1 14.2 Tf [(the one end, we have topics that are mathematics content related, those that discuss the underlying principles of Big )] TJ ET
BT 34.016 112.364 Td /F1 14.2 Tf [(Ideas, and others that deepen the readers' knowledge in this area, and on the other hand there are practice oriented )] TJ ET
BT 34.016 94.964 Td /F1 14.2 Tf [(papers in preparing practitioners to have a clearer picture of classroom enactment related to an emphasis on Big Ideas.)] TJ ET
BT 34.016 77.565 Td /F1 14.2 Tf [(Parents Matter)] TJ ET
BT 127.467 77.565 Td /F1 14.2 Tf [( Regina M. Mistretta 2016-09-08 This book serves as that guidebook, and its author invites parents to use it )] TJ ET
BT 34.016 60.166 Td /F1 14.2 Tf [(while making sense of math with children. Parents and children are encouraged to share and celebrate multiple ways of )] TJ ET
endstream
endobj
19 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 841.890 595.280]
/Parent 3 0 R
/Contents 20 0 R
>>
endobj
20 0 obj
<<
/Length 4714 >>
stream
0.000 0.000 0.000 rg
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
BT 34.016 547.345 Td /F1 14.2 Tf [(solving math examples, rather than debate over the better approach.)] TJ ET
BT 34.016 529.946 Td /F1 14.2 Tf [(Get Smart: Maths)] TJ ET
BT 145.679 529.946 Td /F1 14.2 Tf [( Julia Collins 2018-09-06 Can you explain Fermat's Last Theorem? What is the shape of the Universe? )] TJ ET
BT 34.016 512.546 Td /F1 14.2 Tf [(And how do you add up to infinity? Challenge yourself with Get Smart: Maths and learn to think and talk like the world's )] TJ ET
BT 34.016 495.147 Td /F1 14.2 Tf [(greatest mathematical geniuses. Taking you on a journey through the mathematical ideas that underpin our world - from )] TJ ET
BT 34.016 477.748 Td /F1 14.2 Tf [(imaginary numbers and Turing machines to chaos theory and mathematical paradoxes; from the search for primes and )] TJ ET
BT 34.016 460.349 Td /F1 14.2 Tf [(game theory to relativity and the arithmetic of altruism - Get Smart: Maths demystifies 50 key concepts and provides you )] TJ ET
BT 34.016 442.949 Td /F1 14.2 Tf [(with the tools to master the very biggest ideas. Includes: imaginary numbers; the riemann hypothesis; mathematical )] TJ ET
BT 34.016 425.550 Td /F1 14.2 Tf [(paradoxes; chaos theory; code breaking; Gödel's incompleteness theorem; topology; the Poincaré conjecture; game )] TJ ET
BT 34.016 408.151 Td /F1 14.2 Tf [(theory; the maths of symmetry; calculus; Turing machines; fractals; the prisoner's dilemma; primes; knot theory; )] TJ ET
BT 34.016 390.752 Td /F1 14.2 Tf [(probability and statistics; the Monty Hall problem . . . and many more.)] TJ ET
BT 34.016 373.352 Td /F1 14.2 Tf [(Eureka Math Grade 6 Study Guide)] TJ ET
BT 252.625 373.352 Td /F1 14.2 Tf [( Great Minds 2016-04-04 Eureka Math is a comprehensive, content-rich PreK–12 )] TJ ET
BT 34.016 355.953 Td /F1 14.2 Tf [(curriculum that follows the focus and coherence of the Common Core State Standards in Mathematics \(CCSSM\) and )] TJ ET
BT 34.016 338.554 Td /F1 14.2 Tf [(carefully sequences the mathematical progressions into expertly crafted instructional modules. The companion Study )] TJ ET
BT 34.016 321.155 Td /F1 14.2 Tf [(Guides to Eureka Math gather the key components of the curriculum for each grade into a single location, unpacking the )] TJ ET
BT 34.016 303.755 Td /F1 14.2 Tf [(standards in detail so that both users and non-users of Eureka Math can benefit equally from the content presented. Each )] TJ ET
BT 34.016 286.356 Td /F1 14.2 Tf [(of the Eureka Math Curriculum Study Guides includes narratives that provide educators with an overview of what students )] TJ ET
BT 34.016 268.957 Td /F1 14.2 Tf [(should be learning throughout the year, information on alignment to the instructional shifts and the standards, design of )] TJ ET
BT 34.016 251.558 Td /F1 14.2 Tf [(curricular components, approaches to differentiated instruction, and descriptions of mathematical models. The Study )] TJ ET
BT 34.016 234.158 Td /F1 14.2 Tf [(Guides can serve as either a self-study professional development resource or as the basis for a deep group study of the )] TJ ET
BT 34.016 216.759 Td /F1 14.2 Tf [(standards for a particular grade. For teachers who are new to the classroom or the standards, the Study Guides introduce )] TJ ET
BT 34.016 199.360 Td /F1 14.2 Tf [(them not only to Eureka Math but also to the content of the grade level in a way they will find manageable and useful. )] TJ ET
BT 34.016 181.961 Td /F1 14.2 Tf [(Teachers familiar with the Eureka Math curriculum will also find this resource valuable as it allows for a meaningful study )] TJ ET
BT 34.016 164.561 Td /F1 14.2 Tf [(of the grade level content in a way that highlights the coherence between modules and topics. The Study Guides allow )] TJ ET
BT 34.016 147.162 Td /F1 14.2 Tf [(teachers to obtain a firm grasp on what it is that students should master during the year. The Eureka Math Curriculum )] TJ ET
BT 34.016 129.763 Td /F1 14.2 Tf [(Study Guide, Grade 6 provides an overview of all of the Grade 6 modules, including Ratios and Unit Rates; Arithmetic )] TJ ET
BT 34.016 112.364 Td /F1 14.2 Tf [(Operations Including Dividing by a Fraction; Rational Numbers; Expressions and Equations; Area, Surface Area, and )] TJ ET
BT 34.016 94.964 Td /F1 14.2 Tf [(Volume Problems; Statistics.)] TJ ET
BT 34.016 77.565 Td /F1 14.2 Tf [(Mathematics for Elementary School Teachers)] TJ ET
BT 322.279 77.565 Td /F1 14.2 Tf [( Ricardo D. Fierro 2012-01-13 Mathematics for Elementary School Teachers )] TJ ET
BT 34.016 60.166 Td /F1 14.2 Tf [(is designed to give you a profound understanding of the mathematical content that you are expected to know and be able )] TJ ET
endstream
endobj
21 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 841.890 595.280]
/Parent 3 0 R
/Contents 22 0 R
>>
endobj
22 0 obj
<<
/Length 4917 >>
stream
0.000 0.000 0.000 rg
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
BT 34.016 547.345 Td /F1 14.2 Tf [(to teach. The chapters integrate the National Council of Teachers of Mathematics \(NCTM\) Standards and Expectations )] TJ ET
BT 34.016 529.946 Td /F1 14.2 Tf [(and the new Common Core State Standards, as well as research literature. The five NCTM Process Standards of problem )] TJ ET
BT 34.016 512.546 Td /F1 14.2 Tf [(solving, reasoning and proof, communication, connections, and representation highlight ways that teachers present )] TJ ET
BT 34.016 495.147 Td /F1 14.2 Tf [(content, the ways that students learn content, and various ways that students can demonstrate procedural and conceptual )] TJ ET
BT 34.016 477.748 Td /F1 14.2 Tf [(understanding. The worked examples and homework questions provide prospective elementary school teachers with )] TJ ET
BT 34.016 460.349 Td /F1 14.2 Tf [(opportunities to develop mathematical knowledge, understanding, and skills that they can apply in their own classrooms )] TJ ET
BT 34.016 442.949 Td /F1 14.2 Tf [(effectively. The learning path begins with the Where Are We Going? Chapter Openers, worked Examples with Yellow )] TJ ET
BT 34.016 425.550 Td /F1 14.2 Tf [(Markers that indicate the Process Standards throughout the text, to the Concept Maps, to the Section Question Sets with )] TJ ET
BT 34.016 408.151 Td /F1 14.2 Tf [(their refreshers of Process Standards, to the Chapter Organizers with Learning Outcomes and a list of the corresponding )] TJ ET
BT 34.016 390.752 Td /F1 14.2 Tf [(Review Questions, and finally, conclude at the Chapter Tests with their overarching Learning Outcomes. Important Notice: )] TJ ET
BT 34.016 373.352 Td /F1 14.2 Tf [(Media content referenced within the product description or the product text may not be available in the ebook version.)] TJ ET
BT 34.016 355.953 Td /F1 14.2 Tf [(The Common Core Mathematics Companion: The Standards Decoded, High School)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 353.602 m 563.845 353.602 l S
BT 563.845 355.953 Td /F1 14.2 Tf [( Frederick L. Dillon 2017-09-12 When )] TJ ET
BT 34.016 338.554 Td /F1 14.2 Tf [(it comes to math, standards-aligned is achievement-aligned… Since The Common Core Mathematics Companions for )] TJ ET
BT 34.016 321.155 Td /F1 14.2 Tf [(grades K–2, 3–5 and 6–8 burst on the scene, they have been lauded as the best resources for making critical math ideas )] TJ ET
BT 34.016 303.755 Td /F1 14.2 Tf [(easy to teach. With this brand-new volume, high school mathematics success is at your fingertips. The authors lay out the )] TJ ET
BT 34.016 286.356 Td /F1 14.2 Tf [(pieces of an in-depth explanation, showing the mathematical progression of each conceptual category, how standards )] TJ ET
BT 34.016 268.957 Td /F1 14.2 Tf [(connect within and across domains, and what teachers and students should be doing every day to foster deep learning.)] TJ ET
BT 34.016 251.558 Td /F1 14.2 Tf [(Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 6)] TJ ET
BT 479.129 251.558 Td /F1 14.2 Tf [( Jo Boaler 2019-01-07 Engage students in )] TJ ET
BT 34.016 234.158 Td /F1 14.2 Tf [(mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging )] TJ ET
BT 34.016 216.759 Td /F1 14.2 Tf [(students and helping them understand the connections between mathematics concepts. In this volume, you'll find a )] TJ ET
BT 34.016 199.360 Td /F1 14.2 Tf [(collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the sixth-grade level )] TJ ET
BT 34.016 181.961 Td /F1 14.2 Tf [(through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen )] TJ ET
BT 34.016 164.561 Td /F1 14.2 Tf [(Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math )] TJ ET
BT 34.016 147.162 Td /F1 14.2 Tf [(instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So )] TJ ET
BT 34.016 129.763 Td /F1 14.2 Tf [(the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the )] TJ ET
BT 34.016 112.364 Td /F1 14.2 Tf [(latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, )] TJ ET
BT 34.016 94.964 Td /F1 14.2 Tf [(and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in )] TJ ET
BT 34.016 77.565 Td /F1 14.2 Tf [(Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person - anyone can )] TJ ET
BT 34.016 60.166 Td /F1 14.2 Tf [(learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is )] TJ ET
endstream
endobj
23 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 841.890 595.280]
/Parent 3 0 R
/Contents 24 0 R
>>
endobj
24 0 obj
<<
/Length 4523 >>
stream
0.000 0.000 0.000 rg
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
BT 34.016 547.345 Td /F1 14.2 Tf [(unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about )] TJ ET
BT 34.016 529.946 Td /F1 14.2 Tf [(mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about )] TJ ET
BT 34.016 512.546 Td /F1 14.2 Tf [(mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the )] TJ ET
BT 34.016 495.147 Td /F1 14.2 Tf [(Common Core State Standards \(CCSS\) and can be used with any current curriculum.)] TJ ET
BT 34.016 477.748 Td /F1 14.2 Tf [(Adapting and Extending Secondary Mathematics Activities)] TJ ET
BT 402.307 477.748 Td /F1 14.2 Tf [( Stephanie Prestage 2013-04-15 This book is designed to )] TJ ET
BT 34.016 460.349 Td /F1 14.2 Tf [(assist teachers to get the most out of the textbooks or mathematics schemes used in their schools, providing methods of )] TJ ET
BT 34.016 442.949 Td /F1 14.2 Tf [(extending the activities offered to learners.)] TJ ET
BT 34.016 425.550 Td /F1 14.2 Tf [(The Common Core Mathematics Companion: The Standards Decoded, Grades 6-8)] TJ ET
BT 558.302 425.550 Td /F1 14.2 Tf [( Ruth Harbin Miles 2016-03-23 "The )] TJ ET
BT 34.016 408.151 Td /F1 14.2 Tf [(Common Core Mathematics Companion 6-8 offers a practical guide for implementing the CCSS Math Standards. )] TJ ET
BT 34.016 390.752 Td /F1 14.2 Tf [(Teachers will appreciate the misconception alerts and ideas for differentiation." — Jay McTighe, Author and Consultant )] TJ ET
BT 34.016 373.352 Td /F1 14.2 Tf [(When it comes to math, standards-aligned is achievement-aligned… In the short time since The Common Core )] TJ ET
BT 34.016 355.953 Td /F1 14.2 Tf [(Mathematics Companions, Grades K-2 and 3-5 burst on the scene, they have been lauded as the best resources for )] TJ ET
BT 34.016 338.554 Td /F1 14.2 Tf [(making critical math ideas easy to teach. With this brand-new 6-8 volume, middle school math success is at your )] TJ ET
BT 34.016 321.155 Td /F1 14.2 Tf [(fingertips. Page by page, the authors lay out the pieces to a cutting-edge curriculum, helping you to: Get the inside scoop )] TJ ET
BT 34.016 303.755 Td /F1 14.2 Tf [(on which standards connect, what key vocabulary means, and time-saving tables showing where to focus instruction for )] TJ ET
BT 34.016 286.356 Td /F1 14.2 Tf [(each grade Write curriculum for: ratios and proportional relationships, the number system, expressions and equations, )] TJ ET
BT 34.016 268.957 Td /F1 14.2 Tf [(functions, geometry, and statistics & probability Use the What to Teach pages to deliver powerful standards-based )] TJ ET
BT 34.016 251.558 Td /F1 14.2 Tf [(lessons Learn effective techniques to create an environment where all students can experience math break-throughs )] TJ ET
BT 34.016 234.158 Td /F1 14.2 Tf [(Incorporate the Standards for Mathematical Practice to improve students’ ability to problem solve, construct viable )] TJ ET
BT 34.016 216.759 Td /F1 14.2 Tf [(arguments, use tools strategically, attend to precision, and more The Common Core Mathematics Companion, Grades )] TJ ET
BT 34.016 199.360 Td /F1 14.2 Tf [(6–8 has what every middle school needs to provide students with the foundation for the concepts and skills they will be )] TJ ET
BT 34.016 181.961 Td /F1 14.2 Tf [(expected to know in grade 9–12. Ruth Harbin Miles is a mathematics coach, with special expertise in developing teachers’ )] TJ ET
BT 34.016 164.561 Td /F1 14.2 Tf [(content knowledge and strategies for engaging students to achieve high mathematics standards. A serving member on )] TJ ET
BT 34.016 147.162 Td /F1 14.2 Tf [(the Board of Directors for the National Council of Teachers of Mathematics and the National Council of Supervisors of )] TJ ET
BT 34.016 129.763 Td /F1 14.2 Tf [(Mathematics, Ruth is a co-author with Linda Gojak of The Common Core Mathematics Companions, K–2 and 3–5 )] TJ ET
BT 34.016 112.364 Td /F1 14.2 Tf [(\(Corwin\). Lois Williams, Ed.D., who taught mathematics in grades K–8 for 20 years, is currently an adjunct professor at )] TJ ET
BT 34.016 94.964 Td /F1 14.2 Tf [(Mary Baldwin College and an International Fellow with the Charles A. Dana Center, training teachers in the College and )] TJ ET
BT 34.016 77.565 Td /F1 14.2 Tf [(Career Readiness Standards She has been honored with a Fulbright Teacher Exchange and the Virginia Middle School )] TJ ET
endstream
endobj
25 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 841.890 595.280]
/Parent 3 0 R
/Contents 26 0 R
>>
endobj
26 0 obj
<<
/Length 4603 >>
stream
0.000 0.000 0.000 rg
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
BT 34.016 547.345 Td /F1 14.2 Tf [(Mathematics Teacher of the Year award.)] TJ ET
BT 34.016 529.946 Td /F1 14.2 Tf [(Laidlaw Mathematics Series)] TJ ET
BT 211.400 529.946 Td /F1 14.2 Tf [( 1962 )] TJ ET
BT 34.016 512.546 Td /F1 14.2 Tf [(Building Proportional Reasoning Across Grades and Math Strands, K-8)] TJ ET
BT 482.292 512.546 Td /F1 14.2 Tf [( Marian Small 2015-04-10 Although proportional )] TJ ET
BT 34.016 495.147 Td /F1 14.2 Tf [(reasoning is not formally introduced as a topic in the Common Core and other mathematics curricula until 6th grade, )] TJ ET
BT 34.016 477.748 Td /F1 14.2 Tf [(introducing its fundamental ideas in the early grades helps students develop essential skills in ratios, percentages, and )] TJ ET
BT 34.016 460.349 Td /F1 14.2 Tf [(other proportional representations when they reach the upper grades. The author takes this complex subject and crafts )] TJ ET
BT 34.016 442.949 Td /F1 14.2 Tf [(examples and questions that help teachers see the larger purpose in teaching concepts, such as unitizing, and how that )] TJ ET
BT 34.016 425.550 Td /F1 14.2 Tf [(understanding is essential for more complex ideas, such as ratios. Teachers and vertical teams can see how the concepts )] TJ ET
BT 34.016 408.151 Td /F1 14.2 Tf [(can build year after year. This new resource by well-known professional developer Marian Small suggests questions that )] TJ ET
BT 34.016 390.752 Td /F1 14.2 Tf [(are both interesting for students and useful for providing diagnostic information to teachers. Chapters are organized by )] TJ ET
BT 34.016 373.352 Td /F1 14.2 Tf [(grade level \(K-8\) around the Common Core State Standards for Mathematics to help teachers use the resource more )] TJ ET
BT 34.016 355.953 Td /F1 14.2 Tf [(easily.)] TJ ET
BT 34.016 338.554 Td /F1 14.2 Tf [(Helping Children Learn Mathematics)] TJ ET
BT 264.467 338.554 Td /F1 14.2 Tf [( Robert Reys 2019-09-23 The third edition of Reys’ Helping Children Learn )] TJ ET
BT 34.016 321.155 Td /F1 14.2 Tf [(Mathematics is a practical resource for undergraduate students of primary school teaching. Rich in ideas, tools and )] TJ ET
BT 34.016 303.755 Td /F1 14.2 Tf [(stimulation for lessons during teaching rounds or in the classroom, this edition continues to provide a clear understanding )] TJ ET
BT 34.016 286.356 Td /F1 14.2 Tf [(of how to navigate the Australian Curriculum, with detailed coverage on how to effectively use Information and )] TJ ET
BT 34.016 268.957 Td /F1 14.2 Tf [(Communications Technology \(ICT\) in the classroom. This is a full colour printed textbook with an interactive eBook code )] TJ ET
BT 34.016 251.558 Td /F1 14.2 Tf [(included. Great self-study features include: auto-graded in-situ knowledge check questions, video of teachers )] TJ ET
BT 34.016 234.158 Td /F1 14.2 Tf [(demonstrating how different maths topics can be taught in the classroom and animated, branched chain scenarios are in )] TJ ET
BT 34.016 216.759 Td /F1 14.2 Tf [(the e-text.)] TJ ET
BT 34.016 199.360 Td /F1 14.2 Tf [(Working with the Ratio Table, Grades 5-8)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 197.009 m 295.361 197.009 l S
BT 295.361 199.360 Td /F1 14.2 Tf [( Antonia Cameron 2006 In their series of professional books for teachers, Young )] TJ ET
BT 34.016 181.961 Td /F1 14.2 Tf [(Mathematicians at Work, Catherine Twomey Fosnot and Maarten Dolk described Mathematics in the City, an innovative )] TJ ET
BT 34.016 164.561 Td /F1 14.2 Tf [(project where teachers helped young children construct a deep understanding of number and operation in a math-)] TJ ET
BT 34.016 147.162 Td /F1 14.2 Tf [(workshop environment. Now they and two colleagues from the project have developed a flexible, video-based, digital )] TJ ET
BT 34.016 129.763 Td /F1 14.2 Tf [(context for inquiry into the teaching and learning of mathematics that will change how professional development is )] TJ ET
BT 34.016 112.364 Td /F1 14.2 Tf [(conducted. Designed for you, the workshop leader or college instructor, the Working with the Ratio Table Resource )] TJ ET
BT 34.016 94.964 Td /F1 14.2 Tf [(Package enables your in- or preservice teachers to not only watch but interact with video that depicts classroom teachers )] TJ ET
BT 34.016 77.565 Td /F1 14.2 Tf [(as they listen to, question, and interpret students' thinking; develop connections between mathematical ideas and )] TJ ET
BT 34.016 60.166 Td /F1 14.2 Tf [(strategies; and, ultimately, develop vibrant mathematical communities in their classrooms. The Resource Package )] TJ ET
endstream
endobj
27 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 841.890 595.280]
/Parent 3 0 R
/Contents 28 0 R
>>
endobj
28 0 obj
<<
/Length 4694 >>
stream
0.000 0.000 0.000 rg
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
BT 34.016 547.345 Td /F1 14.2 Tf [(includes three valuable components: A completely interactive CD-ROM, where your workshop participants can explore-)] TJ ET
BT 34.016 529.946 Td /F1 14.2 Tf [(independently or under your guidance-videos of instruction and assessment; sample children's work over time to analyze )] TJ ET
BT 34.016 512.546 Td /F1 14.2 Tf [(development; take and save notes on what they see; capture specific frames or footage; and then email their captured )] TJ ET
BT 34.016 495.147 Td /F1 14.2 Tf [(video clips and notes to other members of your professional development workshop. The context of the classroom will be )] TJ ET
BT 34.016 477.748 Td /F1 14.2 Tf [(at the fingertips of your participants for exploration. A Professional Development Overview Manual that provides general )] TJ ET
BT 34.016 460.349 Td /F1 14.2 Tf [(advice on how you can use the CD-ROM for staff development. A Facilitator's Guide whose field-tested content is specific )] TJ ET
BT 34.016 442.949 Td /F1 14.2 Tf [(to the CD-ROM and includes helpful suggestions for using video clips and student examples on the CD to design rich )] TJ ET
BT 34.016 425.550 Td /F1 14.2 Tf [(professional development experiences; sample dialogue to help you anticipate what your participants might say; tips for )] TJ ET
BT 34.016 408.151 Td /F1 14.2 Tf [(facilitating discussions among teachers; and descriptions of the mathematical ideas being explored. In Working with the )] TJ ET
BT 34.016 390.752 Td /F1 14.2 Tf [(Ratio Table, your workshop participants will observe sixth graders as they construct some of the big ideas related to )] TJ ET
BT 34.016 373.352 Td /F1 14.2 Tf [(fractions, making connections between ratios and equivalence and uncovering landmark division strategies like )] TJ ET
BT 34.016 355.953 Td /F1 14.2 Tf [(comparison through common denominators. By studying the use of carefully crafted problems designed both to generate )] TJ ET
BT 34.016 338.554 Td /F1 14.2 Tf [(a range of solution strategies and to highlight the power of ratio tables and other models for division, teachers will discover )] TJ ET
BT 34.016 321.155 Td /F1 14.2 Tf [(what a valuable tool real-life contexts are for building a solid foundation in mathematics. System Requirements for CD-)] TJ ET
BT 34.016 303.755 Td /F1 14.2 Tf [(ROM Windows/PC Pentium II Processor 266MHz \(or higher\) Windows 98 \(or higher\) 64 MB RAM \(more recommended\) )] TJ ET
BT 34.016 286.356 Td /F1 14.2 Tf [(SVGA Color Display \(or better\) 4x CD-ROM Drive \(or faster\) Sound Card 16-bit Flash\(TM\) Player and Acrobat Reader\(R\) )] TJ ET
BT 34.016 268.957 Td /F1 14.2 Tf [(Quicktime 6.0 \(or higher\) Mac PowerPC Processor G3/233MHz \(or higher\) System 9.2 or 10.2 \(or higher\) 64 MB RAM )] TJ ET
BT 34.016 251.558 Td /F1 14.2 Tf [(\(more recommended\) SVGA Color Display \(or better\) 4x CD-ROM Drive \(or faster\) Sound Card 16-bit Flash\(TM\) Player )] TJ ET
BT 34.016 234.158 Td /F1 14.2 Tf [(and Acrobat Reader\(R\) Quicktime 6.0 \(or higher\) *Please note CD-ROM is not compatible with Mac OS X 10.7)] TJ ET
BT 34.016 216.759 Td /F1 14.2 Tf [(Mathematics for Elementary School Teachers)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 214.408 m 322.279 214.408 l S
BT 322.279 216.759 Td /F1 14.2 Tf [( Tom Bassarear 2015-01-01 MATHEMATICS FOR ELEMENTARY )] TJ ET
BT 34.016 199.360 Td /F1 14.2 Tf [(SCHOOL TEACHERS, 6E offers future teachers a comprehensive mathematics course designed to foster concept )] TJ ET
BT 34.016 181.961 Td /F1 14.2 Tf [(development through examples, investigations, and explorations. In this text, intended for the one- or two-semester )] TJ ET
BT 34.016 164.561 Td /F1 14.2 Tf [(course required of Education majors, Bassarear demonstrates that there are many paths to solving a problem, and )] TJ ET
BT 34.016 147.162 Td /F1 14.2 Tf [(sometimes problems have more than one solution. The author presents real-world problems—problems that require active )] TJ ET
BT 34.016 129.763 Td /F1 14.2 Tf [(learning in a method similar to how archaeologists explore an archaeological find: they carefully uncover the site, slowly )] TJ ET
BT 34.016 112.364 Td /F1 14.2 Tf [(revealing more and more of the structure. Visual icons throughout the main text allow instructors to easily connect content )] TJ ET
BT 34.016 94.964 Td /F1 14.2 Tf [(to the hands-on activities in the corresponding Explorations Manual. With this exposure, future teachers will be better able )] TJ ET
BT 34.016 77.565 Td /F1 14.2 Tf [(to assess student needs using diverse approaches. Important Notice: Media content referenced within the product )] TJ ET
endstream
endobj
29 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 841.890 595.280]
/Parent 3 0 R
/Contents 30 0 R
>>
endobj
30 0 obj
<<
/Length 4813 >>
stream
0.000 0.000 0.000 rg
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
BT 34.016 547.345 Td /F1 14.2 Tf [(description or the product text may not be available in the ebook version.)] TJ ET
BT 34.016 529.946 Td /F1 14.2 Tf [(The Big Ideas of Nanoscale Science and Engineering)] TJ ET
BT 371.441 529.946 Td /F1 14.2 Tf [( Shawn Y. Stevens 2009-12-01 )] TJ ET
BT 34.016 512.546 Td /F1 14.2 Tf [(Good Questions)] TJ ET
BT 136.986 512.546 Td /F1 14.2 Tf [( Marian Small 2020-10-02 Now in its Fourth Edition--with more than 50 new questions and a new chapter )] TJ ET
BT 34.016 495.147 Td /F1 14.2 Tf [(on financial literacy--this bestselling resource helps experienced and novice teachers effectively and efficiently )] TJ ET
BT 34.016 477.748 Td /F1 14.2 Tf [(differentiate mathematics instruction in grades K-8. Math education expert Marian Small shows teachers how to get )] TJ ET
BT 34.016 460.349 Td /F1 14.2 Tf [(started and become expert at using two powerful and universal strategies: Open Questions and Parallel Tasks. This )] TJ ET
BT 34.016 442.949 Td /F1 14.2 Tf [(edition is even easier for teachers to use in all quality state standards environments, including direct links to content )] TJ ET
BT 34.016 425.550 Td /F1 14.2 Tf [(standards and standards for mathematical practice. Parallel tasks and question examples are provided at each grade )] TJ ET
BT 34.016 408.151 Td /F1 14.2 Tf [(band: K-2, 3-5, and 6-8. Along with each example, the text describes how teachers can evoke productive conversations )] TJ ET
BT 34.016 390.752 Td /F1 14.2 Tf [(that meet the needs of a broad range of learners. Book Features: New tasks and questions to develop financial literacy. )] TJ ET
BT 34.016 373.352 Td /F1 14.2 Tf [(Connection of tasks and questions to standards and mathematical big ideas. About 500 tasks and questions that teachers )] TJ ET
BT 34.016 355.953 Td /F1 14.2 Tf [(can adapt or use as-is. Teaching tips and task variations. A template to help teachers build new tasks. "Look-fors" to see )] TJ ET
BT 34.016 338.554 Td /F1 14.2 Tf [(student thinking and diagnose difficulties. Guidance for using follow-up questions and math conversations to create a rich )] TJ ET
BT 34.016 321.155 Td /F1 14.2 Tf [(math classroom.)] TJ ET
BT 34.016 303.755 Td /F1 14.2 Tf [(Your Mathematics Standards Companion, High School)] TJ ET
BT 379.322 303.755 Td /F1 14.2 Tf [( Frederick L. Dillon 2018-02-06 Transforming the standards into )] TJ ET
BT 34.016 286.356 Td /F1 14.2 Tf [(learning outcomes just got a lot easier This expansion of the popular Common Core Mathematics Companions provides a )] TJ ET
BT 34.016 268.957 Td /F1 14.2 Tf [(Cross-Referencing Index for states implementing their own specific mathematics standards. This index allows you to see )] TJ ET
BT 34.016 251.558 Td /F1 14.2 Tf [(in an instant which of your standards are the same as CCSS-M, which differ and how—and which page number to turn to )] TJ ET
BT 34.016 234.158 Td /F1 14.2 Tf [(for standards-based teaching ideas. Beyond that? It’s the same great go-to guide for guide for teaching, planning, )] TJ ET
BT 34.016 216.759 Td /F1 14.2 Tf [(assessing, collaborating, and designing powerful high school mathematics curriculum, in any state or district.)] TJ ET
BT 34.016 199.360 Td /F1 14.2 Tf [(Math Instruction for Students with Learning Problems)] TJ ET
BT 369.033 199.360 Td /F1 14.2 Tf [( Susan Perry Gurganus 2017-02-24 Math Instruction for Students )] TJ ET
BT 34.016 181.961 Td /F1 14.2 Tf [(with Learning Problems, Second Edition provides a research-based approach to mathematics instruction designed to build )] TJ ET
BT 34.016 164.561 Td /F1 14.2 Tf [(confidence and competence in pre- and in-service PreK–12 teachers. This core textbook addresses teacher and student )] TJ ET
BT 34.016 147.162 Td /F1 14.2 Tf [(attitudes toward mathematics, as well as language issues, specific mathematics disabilities, prior experiences, and )] TJ ET
BT 34.016 129.763 Td /F1 14.2 Tf [(cognitive and metacognitive factors. The material is rich with opportunities for class activities and field extensions, and the )] TJ ET
BT 34.016 112.364 Td /F1 14.2 Tf [(second edition has been fully updated to reference both NCTM and CCSSM standards throughout the text and includes )] TJ ET
BT 34.016 94.964 Td /F1 14.2 Tf [(an entirely new chapter on measurement and data analysis.)] TJ ET
BT 34.016 77.565 Td /F1 14.2 Tf [(Janice VanCleave's Great Science Project Ideas from Real Kids)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 75.214 m 437.476 75.214 l S
BT 437.476 77.565 Td /F1 14.2 Tf [( Janice VanCleave 2007-01-22 There's plenty for you to )] TJ ET
BT 34.016 60.166 Td /F1 14.2 Tf [(choose from in this collection of forty terrific science project ideas from real kids, chosen by well-known children's science )] TJ ET
endstream
endobj
31 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 841.890 595.280]
/Parent 3 0 R
/Contents 32 0 R
>>
endobj
32 0 obj
<<
/Length 4837 >>
stream
0.000 0.000 0.000 rg
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
BT 34.016 547.345 Td /F1 14.2 Tf [(writer Janice VanCleave. Developing your own science project requires planning, research, and lots of hard work. This )] TJ ET
BT 34.016 529.946 Td /F1 14.2 Tf [(book saves you time and effort by showing you how to develop your project from start to finish and offering useful design )] TJ ET
BT 34.016 512.546 Td /F1 14.2 Tf [(and presentation techniques. Projects are in an easy-to-follow format, use easy-to-find materials, and include dozens )] TJ ET
BT 34.016 495.147 Td /F1 14.2 Tf [(illustrations and diagrams that show you what kinds of charts and graphs to include in your science project and how to set )] TJ ET
BT 34.016 477.748 Td /F1 14.2 Tf [(up your project display. You’ll also find clear scientific explanations, tips for developing your own unique science project, )] TJ ET
BT 34.016 460.349 Td /F1 14.2 Tf [(and 100 additional ideas for science projects in all science categories.)] TJ ET
BT 34.016 442.949 Td /F1 14.2 Tf [(Rethinking School Mathematics)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 440.598 m 233.587 440.598 l S
BT 233.587 442.949 Td /F1 14.2 Tf [( Andrew Noyes 2007-05-21 Why is it that so many pupils are put off by maths, seeing it as )] TJ ET
BT 34.016 425.550 Td /F1 14.2 Tf [(uninspiring and irrelevant, and that so many choose to drop it as soon as they can? Why is it socially acceptable to be bad )] TJ ET
BT 34.016 408.151 Td /F1 14.2 Tf [(at maths? Does the maths curriculum really prepare pupils for life? This book presents some answers to these questions, )] TJ ET
BT 34.016 390.752 Td /F1 14.2 Tf [(helping teachers to think through their own attitudes to teaching and learning, and to work with pupils towards more )] TJ ET
BT 34.016 373.352 Td /F1 14.2 Tf [(effective and inspiring mathematical engagement. Part I of the book explores the nature of school mathematics - showing )] TJ ET
BT 34.016 355.953 Td /F1 14.2 Tf [(how the curriculum has been developed over the years, and how increasing effort has been devoted to improving the )] TJ ET
BT 34.016 338.554 Td /F1 14.2 Tf [(quality of mathematics teaching, with little apparent effect. Part II focuses on ways of thinking about classroom )] TJ ET
BT 34.016 321.155 Td /F1 14.2 Tf [(mathematics which take account of social, cultural, political and historical aspects. The chapters bring together a )] TJ ET
BT 34.016 303.755 Td /F1 14.2 Tf [(collection of activities, resources and discussion which will help teachers develop new ways of teaching and learning )] TJ ET
BT 34.016 286.356 Td /F1 14.2 Tf [(maths. This book will be essential reading for all maths teachers, including maths specialists on initial teacher training )] TJ ET
BT 34.016 268.957 Td /F1 14.2 Tf [(courses.)] TJ ET
BT 34.016 251.558 Td /F1 14.2 Tf [(Middle Grade Teachers' Mathematical Knowledge and Its Relationship to Instruction)] TJ ET
BT 563.417 251.558 Td /F1 14.2 Tf [( Judith Sowder 1998-07-16 )] TJ ET
BT 34.016 234.158 Td /F1 14.2 Tf [(Investigates how middle grade teachers' deeper understanding of the mathematics of number, quantity, and proportion )] TJ ET
BT 34.016 216.759 Td /F1 14.2 Tf [(influences the way they teach and the way students learn.)] TJ ET
BT 34.016 199.360 Td /F1 14.2 Tf [(Everything You Need for Mathematics Coaching)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 197.009 m 338.139 197.009 l S
BT 338.139 199.360 Td /F1 14.2 Tf [( Maggie B. McGatha 2018-04-02 Plan, focus, and lead: Your toolkit for )] TJ ET
BT 34.016 181.961 Td /F1 14.2 Tf [(inspiring math teachers What’s your go-to resource for guiding teachers to grow mathematics proficiency in their )] TJ ET
BT 34.016 164.561 Td /F1 14.2 Tf [(classrooms? This comprehensive toolkit for busy math coaches positions student learning as the focus of all work, and )] TJ ET
BT 34.016 147.162 Td /F1 14.2 Tf [(connects the Eight Mathematical Practices for students with NCTM’s Eight Effective Teaching Practices to deliver )] TJ ET
BT 34.016 129.763 Td /F1 14.2 Tf [(coaching strategies that work. Use the coaching cycle—plan, gather data, reflect—to build trust and rapport with teachers. )] TJ ET
BT 34.016 112.364 Td /F1 14.2 Tf [(Navigate coaching conversations. Plan, focus, and facilitate professional learning communities. Includes examples from )] TJ ET
BT 34.016 94.964 Td /F1 14.2 Tf [(the field, resources, and a plethora of tools to download and share. Create a professional learning plan that empowers )] TJ ET
BT 34.016 77.565 Td /F1 14.2 Tf [(you to lead with clarity and purpose.)] TJ ET
BT 34.016 60.166 Td /F1 14.2 Tf [(GCSE Mathematics for Edexcel Foundation Student Book)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 57.815 m 399.143 57.815 l S
BT 399.143 60.166 Td /F1 14.2 Tf [( Karen Morrison 2015-05-21 A new series of bespoke, full-)] TJ ET
endstream
endobj
33 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 841.890 595.280]
/Parent 3 0 R
/Annots [ 35 0 R ]
/Contents 34 0 R
>>
endobj
34 0 obj
<<
/Length 1444 >>
stream
0.000 0.000 0.000 rg
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
BT 34.016 547.345 Td /F1 14.2 Tf [(coverage resources developed for the 2015 GCSE Mathematics qualifications. Endorsed for the Edexcel GCSE )] TJ ET
BT 34.016 529.946 Td /F1 14.2 Tf [(Mathematics Foundation tier specification for first teaching from 2015, this Student Book provides full coverage of the new )] TJ ET
BT 34.016 512.546 Td /F1 14.2 Tf [(GCSE Mathematics qualification. With a strong focus on developing problem-solving skills, reasoning and fluency, it helps )] TJ ET
BT 34.016 495.147 Td /F1 14.2 Tf [(students understand concepts, apply techniques, solve problems, reason, interpret and communicate mathematically. )] TJ ET
BT 34.016 477.748 Td /F1 14.2 Tf [(Written by experienced teachers, it also includes a solid breadth and depth of quality questions set in a variety of contexts. )] TJ ET
BT 34.016 460.349 Td /F1 14.2 Tf [(GCSE Mathematics Online - an enhanced digital resource incorporating progression tracking - is also available, as well as )] TJ ET
BT 34.016 442.949 Td /F1 14.2 Tf [(a free Teacher's Resource, Problem-solving Books and Homework Books.)] TJ ET
BT 36.266 398.055 Td /F1 8.0 Tf [(5-1-ratios-big-ideas-math)] TJ ET
BT 504.600 398.262 Td /F1 8.0 Tf [(Downloaded from )] TJ ET
BT 569.512 398.055 Td /F1 8.0 Tf [(backoffice.metabolismofcities.org)] TJ ET
BT 687.328 398.262 Td /F1 8.0 Tf [( on September 25, 2022 by guest)] TJ ET
endstream
endobj
35 0 obj
<< /Type /Annot
/Subtype /Link
/A 36 0 R
/Border [0 0 0]
/H /I
/Rect [ 569.5123 397.3151 687.3283 405.4551 ]
>>
endobj
36 0 obj
<< /Type /Action
/S /URI
/URI (https://backoffice.metabolismofcities.org)
>>
endobj
xref
0 37
0000000000 65535 f
0000000009 00000 n
0000000074 00000 n
0000000120 00000 n
0000000365 00000 n
0000000394 00000 n
0000000801 00000 n
0000000904 00000 n
0000004119 00000 n
0000004226 00000 n
0000004330 00000 n
0000009186 00000 n
0000009291 00000 n
0000014190 00000 n
0000014295 00000 n
0000019000 00000 n
0000019105 00000 n
0000023814 00000 n
0000023919 00000 n
0000028871 00000 n
0000028976 00000 n
0000033743 00000 n
0000033848 00000 n
0000038818 00000 n
0000038923 00000 n
0000043499 00000 n
0000043604 00000 n
0000048260 00000 n
0000048365 00000 n
0000053112 00000 n
0000053217 00000 n
0000058083 00000 n
0000058188 00000 n
0000063078 00000 n
0000063202 00000 n
0000064699 00000 n
0000064827 00000 n
trailer
<<
/Size 37
/Root 1 0 R
/Info 5 0 R
>>
startxref
64920
%%EOF