Bring NCTM Standards to Life: Best Practices, High School

 

Yvelyne Germain- Mc Carthy 

Eye on Education | 1998 | 206 páginas | rar -pdf | 8 Mb

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By presenting teacher profiles and sample lessons from across the country, this book shows that the NCTM standards reflect successful practices of teachers at the "grass roots".

Contents

ACKNOWLEDGMENTS.  ix

ABOUT THE AUTHOR. . x

FOREWORD.  xi

REFLECTIONS FROM THE FIELD . xii

1 INTRODUCING THE NCTM REFORM DOCUMENTS. 1

This Book's Purpose.2

Introducing the NCTM Reform Documents  3

Constructivism.. 3

Skills for Citizens of the Twenty-First Century . 5

The Curriculum and Evaluation Standards for School Mathematics . 9

The Curriculum Standards for Middle and High School ....... 10

Common Standards for the Middle Grades and High School. . . . 11

Additional High School Standards . 12

Learning, Teaching, and Assessment.  . 14

The Professional Standards for Teaching Mathematics 14

The Assessment Standards.  . 15

Principles and Standards for School Mathematics .16

National Board Certification . 17

2 EXEMPLARY PRACTICE: WHAT DOES IT LOOK LIKE?. 19

Traditional Teachers in Transition . 19

Envisioning Reform-Based Classrooms 24

3 BEN PREDDY: INTEGRATING MATHEMATICS  27

4 YVONNE STALLINGS: INVESTING FOR A FOUR-YEAR COLLEGE EDUCATION.  39

5 CYNTHIA SUTHERLIN: MATHEMATICAL MODELING OF LINEAR FUNCTIONS IN THE SCIENCES  59

6 DON CROSSFIELD: MARCHING FROM ALGEBRA TO TRIGONOMETRY AND BEYOND 73

7 VIRGINIA HIGHSTONE: EQUATIONS THAT MODEL GROWTH AND DECAY.. 87

8 HENRY KRANENDONK: RAISIN GEOMETRY- EXPLORING THE BALANCE POINT AND ITS APPLICATIONS  103

9 MURRAY SIEGEL: DISCOVERING THE CENTRAL LIMIT THEOREM  119

10 CLAUDIA CARTER: How A RUMOR SPREADS-AN INTRODUCTION TO LOGISTIC CURVES 133

11 KATHRYN HILL: CONNECTING INFORMAL PROOFS TO FORMAL PROOFS WITH A GEOBOARD. 143

12 MICHAEL LEHMAN: GROUP PERFORMANCE ASSESSMENTS ... 157

13 LEARNING CENTERS OF THE TWENTY-FIRST CENTURY . 175

Revisiting Questions. . . 176

Can It Be True that All Students Can Do Mathematics? 176

Can All Students Do Algebra? 177

Curriculum Concerns of a Parent. . .

What Can Classroom Teachers Do? 181

What Can Administrators Do? . . 181

What Can Teacher Educators Do? 183

What Can We All Do Together? . 184

Conclusion.  . 184

REFERENCES . 187

Creative ICT

Antony Smith e  Simon Willcocks

 Routledge | 2005 | 118 páginas | rar - pdf | 5,5 Mb

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Promoting pupils' creativity when they use ICT, this book also encourages learning across core as well as foundation subjects. It includes: flexible activities for pupils to refer to as they work through the activities; helpful examples of work so pupils know what to aim for; additional support sheets that can be used by the pupil of the teacher; departure points for integrated studies; extension activities that will encourage further creativity.

Contents
Acknowledgements vii
Introduction ix
CHAPTER 1 - Core Areas: More to maths than meets the pi... 1
Cool Curves and Rockin’ Riley 2
Marvellous Mystic Rose 6
Crazy Curved Stitching 10
Terrible Text Challenge 15
Cracking Codes 18
Proof of the Pudding 22
Journey into Space 28
CHAPTER 2 - Humanities and science: Back to the future... forward into history 31
Super Solar System 32
Solar System to Scale 38
Illuminated Letters 42
Fabulous Family Trees 48
Parallel Time Lines 52
CHAPTER 3 - Art: Get the picture? 58
Roaring Roy Lichtenstein 59
Virtual Picasso 66
Excellent Escher 72
Dooby Dooby Diirer 80
Whole Lotta Warhol 86
Chillin’ Uccello 92
Stunning Stained Glass 98

Communication and Creativity in the Math Classroom: Non-Traditional Activities and Strategies that Stress Life Skills

 Nicholas J. Rinaldi

R&L Education | 2013 | 97 páginas | rar - pdf | 778 kb

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Whether you are a new or an experienced teacher, Communication and Creativity in the Math Classroom provides you with classroom-tested activities and ideas which are motivating, engaging, and meaningful to students. 
Traditional textbooks commonly feature conventional, un-engaging, and somewhat boring problems and activities. Communication and Creativity in the Math Classroom provides you with activities and ideas which stress life skills such as communicating more effectively, being creative, analyzing a variety of problems, following directions, and working cooperatively with others. These skills are very valuable but are rarely addressed in the traditional math curriculum. The materials and ideas in this book allow you to interject these skills into your daily lessons while covering various mathematical topics. Many of the easily reproducible activities can be used as assessments; consequently, suggested scoring rubrics are included as well as helpful strategies and observations. 
ContentsPreface vii
Introduction xi
1 Let’s Begin at the Beginning 1
Opening-of-Class Activities 1
Unusual Equations 2
Three of a Kind 3
Palindrome Puzzler 4
Famous Structures 5
How Observant Are You? 6
Miscellaneous Brain Teasers 7
2 Can We Talk? 9
You and Me 9
Do I Have to Draw You a Picture? 10
Joy Ride 12
Oh, Say Can You See 14
Lady Liberty and Me 18
Talking Baseball 20
To Serve a Serving 21
Troublesome Technology 23
Is Love Transitive? 25
Student Presentations 25
Do It Up Front 29
Remember? 29
Engaging Questions/Comments 30
3 Let’s Create Creativity 31
A Picture Is Worth a Thousand Points 31
I Am a Geometric Figure 33
I Am a Number 36
Once Upon a Time 39
Game Time 41
3.14 Happy Pi Day 43
General Math, Prealgebra, and Algebra I Classes 44
Geometry Classes 44
Algebra II and More-Advanced Classes 45
Name That Pi 48
4 In Search of . . . 51
Geometry Scavenger Hunt 52
Number Scavenger Hunt 53
Transformation Treasure Trek 55
5 But Wait, There’s Still More 57
Linguini Lines 57
W-o-r-d C-h-a-i-n-s 59
Your Guess Is as Good as Mine 60
Emergency Folder 61
Random Students 62
Take Me Out to the Ball Game 63
Guess What’s on My Mind 64
The Equation of a Line 64
It’s a Sine of the Times 66
Conclusion 69
Appendix 71
Answers to Selected Exercises 75

The Really Useful Maths Book: A Guide to Interactive Teaching

Tony Brown e Henry Liebling 

Routledge | 2014 - 2ª edição | 326 páginas | rar - pdf | Mb

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1ª edição - 2005

The Really Useful Maths Book is for all those who want children to enjoy the challenge of learning mathematics. With suggestions about the best ways to use resources and equipment to support learning, it describes in detail how to make learning the easy option for children.An easy-to-follow, comprehensive guide packed with ideas and activities, it is the perfect tool to help teachers who wish to develop their teaching strategies.

The second edition has been fully updated in light of the latest research, as well as in response to the new mathematics curriculum. It includes many more practical activities for each mathematical topic and explores exciting new areas. Key topics covered include:

• Numbers and the number system
• Operations and calculations
• Shape and space
• Measures, statistics and data handling
• Cross-curricular approaches
• Resources and planning for teaching and learning
• Contexts for making sense of mathematics
• Bridges, strategies and personal qualities
• Dialogue and interactive teaching
• International perspectives on teaching and learning
• Psychology and neuroscience to maximize learning.

The Really Useful Maths Book makes mathematics meaningful, challenging and interesting. It will be invaluable to practicing primary teachers, subject specialists, maths co-ordinators, student teachers, mentors, tutors, home educators and others interested in mathematics education programmes.

Contents

List of resource pages viii

Acknowledgements ix

Why another book about primary school mathematics? x

Using The Really Useful Maths Book xiv

PART I MATHEMATICAL ACTIVITIES AND TEACHING

STRATEGIES 1

Introduction 3

N NUMBERS AND THE NUMBER SYSTEM 10

1 Counting and counting out 10

2 Saying and making numbers 16

3 Arabic and other number systems 26

4 Working with grids 32

5 Working with target boards 40

6 Working with sets 46

7 Working with square numbers 48

8 Exploring algebra 50

9 Taking ideas from ‘floor to head’ 58

O OPERATIONS AND CALCULATIONS 64

1 Number lines 64

2 The story of 24 68

3 Arithmetic operations 76

4 Arithmogons and other puzzles 88

5 Teaching multiplication tables 100

6 Divisibility rules 110

S SHAPE AND SPACE 114

1 Visualisation techniques and activities 114

2 Activities and investigations 120

3 Working with cloths 128

4 Unusual and unfamiliar 134

5 Changing shapes 140

M MEASURES, STATISTICS AND DATA HANDLING 146

1 Measures and measurement 146

2 Data handling and using the media 156

3 Statistics and probability 160

4 Using personal measurement 166

5 Investigating measurement 168

X CROSS-CURRICULAR APPROACHES 179

1 Cross-curricular approaches 179

2 Playing with the language of mathematics 184

3 Maths in music, dance and knitting 188

4 Maths, sustainability and the global dimension 193

5 Reasoning, logic, proof and programming 197

PART II DEVELOPING INTERACTIVE TEACHING

STRATEGIES 203

Introduction 204

A TEACHING AND LEARNING FROM INTERNATIONAL PERSPECTIVES 205

1 Policy and content 205

2 Pupil performance 207

3 Classroom practice 209

4 Findings from psychology and neuroscience 212

B CHILDREN AND TEACHERS INTERACTING 218

1 Pupil, teacher, mathematics: a dynamic model of interaction 218

2 Interactive teaching 220

3 Children talking, teachers listening 221

4 Questions and questioning 224

5 Assessment for learning 232

C RESOURCES AND PLANNING FOR TEACHING AND LEARNING 245

1 Achieving balance in the mathematics curriculum 245

2 Using resources to emphasise mathematical attributes 247

3 Resources for counting and calculation 251

4 Planning to optimise learning 254

D CONTEXTS FOR MAKING SENSE OF MATHEMATICS 261

1 Using different contexts to help make sense of mathematics 261

2 Practical activities and solving problems 264

E BRIDGES, STRATEGIES AND PERSONAL QUALITIES 268

1 Building bridges for learning 268

2 The importance of strategy building 272

3 Eight qualities of successful learners 277

PART III ADDITIONAL MATERIAL 281

How to use Part III, QR codes, the companion website and glossary 282

Additional sources 283

Bibliography 287

Journals, organisations, software, equipment and other resources 290

Websites 293

Author index 299

Pedagogical issues index 300

Maths content index 304

Activity matrix 306

Old Dogs, New Math: Homework Help for Puzzled Parents by

Mike Askew e Rob Eastaway

The Experiment | 2010 | 384 páginas | rar - epub | 2,55 Mb

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Can you help me with my math homework?” If, like most parents, this question fills you with a sense of dread (or even panic), then this is the book for you.

So much for the “good old days” when elementary students simply memorized their times tables and struggled through long division. Today, students are expected not just to find the right answer, but also to choose the best method for doing so—and toexplain why it works.

On top of that, students are learning new strategies—even for basic arithmetic—that look foreign to many parents: What areopen number lines, decomposing and nets, and how do you multiply on a grid?

If your attempts to help your child are met with “That’s not how the teacher does it,” then it’s time to take the stress out of math homework. Old Dogs, New Math is your guide to:

• Number lines, place value and negative numbers

• Long multiplication and division

• Fractions, percentages and decimals

• Shapes, symmetry and angles

• Data analysis, probability and chance

Contents
Preparation: Introduction
The big questions
Math props for moms and dads
Math language
A year-by-year summary
Arithmetic and how it has changed: Numbers and place value
Addition and subtraction: mental methods
Addition and subtraction: paper-and-pencil methods
Simple multiplication and tables
Division
Beyond arithmetic: Fractions, percentages and decimals
Shapes, symmetry and angles
Measuring
Data analysis and probability
Calculator math
Big ideas for small people
Questions...and answers: Questions that your 11-year-old might encounter: Part 1: Calculators not allowed --Part 2: Calculators are allowed
Answers to questions that your 11-year-old might encounter
Part 1: Calculators not allowed --Part 2: Calculators are allowed
Answers to test yourself questions
And finally ...
Dos and don'ts
Glossary.

Complete with sample questions, examples of children’s errors, and over 25 games and activities, Old Dogs, New Math will not only demystify math, but also help you and your child discover math all around you—and have fun doing it!

Ace your math and measuring science project : great science fair ideas

Robert Gardner

Enslow Pub Inc | 2009 | 132 páginas | rar - pdf | 3,9 Mb


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Math and physics often go hand-in-hand. Math and measurements have even played a big role in scientific discovery since ancient times. Use math and measurement as the tools to successfully complete physical science experiments such as figuring out how big a raindrop is, discovering the first units of measure, and more! Many experiments include ideas students can use for their science fair.

Contents
Introduction ........ 7
The Scientific Method........ 8
Science Fairs ...... 10
Safety First .... 11
Indicates experiments that offer ideas for science fair projects.
CHAPTER 1 Measuring and units of Measure 13
1.1 The First Units of Measure ...... 15
1.2 Your Own Measuring System ...... 18
1.3 Metric Measure...... 24
1.4 Comparing Standard Units of Measure.... 27
1.5 Converting Units Within and Between Measuring Systems .. 30
1.6 Body Parts and Ratios ..... 33
CHAPTER 2 Math and science in Many Places 35
2.1 Great Circles: Measuring on a Sphere and Scaling .... 36
2.2 Testing Apples: Measuring, Averaging, Finding Volumes... 37
2.3 Volume, Mass, and Density ... 41
2.4 What Is the Effect of Surface Area on Heat Loss? .... 45
2.5 The Golden Ratio ........ 51
CHAPTER  3 Measuring Areas and Volumes 57
3.1 Area and Acres .... 61
3.2 Area of a Triangle ..... 63
3.3 Circles: Their Diameters, Circumferences, and Areas ...... 64
3.4 Cylinders: Their Areas and Volumes ... 70
3.5 Cones: Their Surface Areas and Volumes ....... 72
CHAPTER  4 Math, Temperature, and heat 79
4.1 Temperature Scales: Graphs, Conversions ...... 80
4.2 Measuring the Heat Delivered by a Heater ...... 84
4.3 Measuring the Heat to Boil Water (Heat of Vaporization).... 88
4.4 Measuring the Heat to Melt Ice (Heat of Fusion).... 92
4.5 Measuring Specific Heat ......... 94
4.6 Finding Specific Heat by Mixing ....... 97
CHAPTER  5 indirect Measurements and estimation 101
5.1 An Indirect Measurement of Thickness....... 102
5.2 An Indirect Measurement of Height..... 104
5.3 Using a Known Height to Measure Distance Indirectly..... 111
5.4 Scaling: Measuring Long Distances With Maps . 113
5.5 How Big Is a Raindrop? .... 115
5.6 Indirect Measurements of Mass ..... 120
5.7 How to Measure Distance With Your Bik.... 122
Appendix: Conversions Between U.S. Customary and Metric Units ... 123
Further Reading..... 124
Internet Addresses ...... 125
Index ..... 126

Cambridge IGCSE Mathematics

Ric Pimentel e Terry Wall

Hodder Education | 2011 - 2ª edição | 485 páginas | rar - pdf | 3 Mb

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This second edition, written especially to support the University of Cambridge International Examinations IGCSE Mathematics (0580) syllabus, is now in full colour and includes a student's CD. The text is ideal for students following the Extended Curriculum. International contexts are used throughout to aid understanding and ensure this text is relevant to students everywhere.

Contents
Introduction v
Number 1
Essential revision 1
(i) Ordering 1
(ii) Standard form 6
(iii) The four rules 12
(iv) Estimation 18
1 Number, set notation and language 24
2 Limits of accuracy 41
3 Ratio, proportion and measures of rate 51
4 Percentages 69
Algebra 80
5 Graphs in practical situations 80
6 Algebraic representation and manipulation 96
7 Equations and inequalities 116
8 Straight-line graphs 139
9 Functions 153
10 Graphs of functions 160
11 Indices 174
12 Linear programming 185
Shape and space
13 Geometrical relationships 198
14 Angle properties 207
15 Trigonometry 220
16 Mensuration 250
17 Vectors 278
18 Matrices 290
19 Symmetry 305
20 Transformations 311
Statistics and probability 346
21 Handling data 346
22 Probability
Solutions 380

Index

Math Practice, Grade 2

Carson-Dellosa Publishing

Carson-Dellosa Publishing | 2014 | 154 páginas | rar - pdf | 3,33 Mb

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Kelley Wingate's Math Practice for second grade is designed to help students master basic math skills through focused math practice. Practice pages will be leveled in order to target each student's individual needs for support. Some pages will provide clear, step-by-step examples. The basic skills covered include place value, more complex addition and subtraction, standard measurement, analyzing shapes, and a comprehensive selection of other second grade math skills. This well-known series, Kelley Wingate, has been updated to align content to the Common Core State Standards. The 128-page books will provide a strong foundation of basic skills and will offer differentiated practice pages to make sure all students are well prepared to succeed in today's Common Core classroom. The books will include Common Core standards matrices, cut-apart flashcard sections, and award certificates. This series is designed to engage and recognize all learners, at school or at home.

Easy Mathematics Step-by-Step

Sandra Luna McCune e William D. Clark

McGraw-Hill | 2012 | 288 páginas | rar - pdf | 5 Mb 

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The quickest route to learning a subject is through a solid grounding in the basics. So what you won’t find inEasy Mathematics Step-by-Step is a lot of endless drills. Instead, you get a clear explanation that breaks down complex concepts into easy-to-understand steps, followed by highly focused exercises that are linked to core skills--enabling learners to grasp when and how to apply those techniques.

This book features:

• Large step-by-step charts breaking down each step within a process and showing clear connections between topics and annotations to clarify difficulties

• Stay-in-step panels show how to cope with variations to the core steps

• Step-it-up exercises link practice to the core steps already presented

• Missteps and stumbles highlight common errors to avoid

Contents
Preface vii
1 Numbers and Operations 1
Natural Numbers and Whole Numbers 1
Integers 2
Rational, Irrational, and Real Numbers 4
Terminology for the Four Basic Operations 8
Division Involving Zero 8
Properties of Real Numbers 10
2 Integers 16
Comparing Integers 16
Absolute Value 17
Adding Signed Numbers 19
Subtracting Signed Numbers 23
Use of the − Symbol 27
Multiplying Signed Numbers 28
Dividing Signed Numbers 31
3 Exponents 35
Exponential Notation 35
Natural Number Exponents 37
Zero Exponents 40
Negative Exponents 41
4 Order of Operations 45
Grouping Symbols 45
PEMDAS 47
5 Fractions 54
Fraction Concepts 54
Reducing Fractions to Lowest Form 55
Equivalent Fractions 57
Adding and Subtracting Fractions 57
Multiplying and Dividing Fractions 60
Working with Mixed Numbers and Improper Fractions 61
6 Decimals 65
Decimal Concepts 65
Adding and Subtracting Decimals 66
Multiplying Decimals 67
Dividing Decimals 68
Rounding Decimals 69
7 Percents 71
Percent Concepts 71
Changing Percents to Decimal Form 71
Changing Decimals to Percent Form 73
Changing Percents to Fraction Form 75
Changing Fractions to Percent Form 80
Common Percents to Know 82
8 Units of Measurement 84
Metric System Prefi xes 84
US Customary and Metric Units 85
Denominate Numbers 86
Converting Units of Denominate Numbers 87
Shortcut for Converting Within the Metric System 92
Using a “Chain” of Conversion Fractions 94
Converting Money to Different Denominations 95
Rough Equivalencies for the Metric System 96
Determining Unit Price 97
9 Ratios and Proportions 99
Ratio Concepts 99
Proportion Concepts 99
Solving Proportions 100
Solving Application Problems Involving Proportions 101
Using Proportions to Solve Percent Problems 104
10 Roots and Radicals 111
Square Roots 111
Principal Square Roots and Radicals 113
Perfect Squares 115
Cube Roots 116
11 Algebraic Expressions 119
Algebraic Terminology 119
Evaluating Algebraic Expressions 122
Dealing with Parentheses 125
12 Formulas 129
Defi nition of Formula 129
Evaluating Formulas 129
13 Polynomials 134
Terms and Monomials 134
Polynomials 136
Like Terms 138
Adding and Subtracting Monomials 139
Simplifying Polynomial Expressions 140
Adding Polynomials 142
Subtracting Polynomials 143
14 Solving Equations 146
Equation Terminology 146
Solving Equations 146
Translating and Solving Verbal Equations 155
Writing Equations to Solve Percent Problems 157
15 Informal Geometry 162
Congruence 162
Similarity 164
Symmetry 166
Angles 169
Lines 171
Polygons 174
Triangles 176
Quadrilaterals 180
Parts of a Circle 183
Solid Figures 185
16 Perimeter, Area, and Volume 194
Perimeter 194
Perimeter of Special Shapes 195
Area 199
Surface Area 203
Volume 204
17 Pythagorean Theorem 210
Right Triangle Concepts 210
Pythagorean Theorem 210
Converse of the Pythagorean Theorem 217
18 Counting and Probability 219
Counting Methods 219
Basic Probability Concepts 224
Probability When Drawing with or Without Replacement 228
Probability for Independent Events 230
19 Mean, Median, Mode, and Range 233
Mean 233
Weighted Average 235
Median 236
Mode 238
Range 240
Answer Key 245
Index 269

Singapore Math Challenge, Grades 2 - 5

Frank Schaffer Publications | 2013 | 354 páginas | rar - pdf | 1,75 Mb

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Singapore’s math curriculum has been recognized worldwide for its excellence in producing students highly skilled in mathematics. Students in Singapore regularly rank at the top of the world in mathematics on the Trends in International Mathematics and Science Study (TIMSS).

The Singapore Math curriculum aims to help students develop necessary concepts and skills for everyday life and to provide students with the ability to formulate, apply, and solve problems. The Singapore Primary (Elementary) Mathematics curriculum covers fewer topics, but in greater depth. Key concepts are introduced and built-on to reinforce mathematical ideas and thinking. Skills are typically taught a full year ahead of when similar skills are taught in the United States.

Contents

Letter to Parents..........5

Chapter 1 Tell Me the Time!...........7

Chapter 2 Intervals...........25

Chapter 3 Addition................43

Chapter 4 Solve by Comparison and Replacement....53

Chapter 5 Age Problems....76

Chapter 6 Division........93

Chapter 7 Chicken-and-Rabbit Problems.........115

Chapter 8 Looking for a Pattern......132

Chapter 9 Counting....148

Chapter 10 Logic....160

Chapter 11 Make a List, Make a Table.....175

Chapter 12 Using Models..........192

Chapter 13 In Search of a Series.......211

Chapter 14 What Comes Next?.....232

Chapter 15 Math IQ.......245

Chapter 16 Geometry........262

Chapter 17 Odd and Even Numbers.......278

Chapter 18 Ordinal Numbers......294

Solutions.........311

Math Remediation for the College Bound: Homework, Sample Tests, and Answer Keys

 Daryao Khatri

R&L Education | 2011 | 144 páginas | rar - pdf | 1,7 Mb

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Algebra is the language that must be mastered for any course that uses math because it is the gateway for entry into any science, technology, engineering, and mathematics (S. T. E. M) discipline. Math Remediation for the College Bound fosters mastery of critical math and algebraic concepts and skills essential to all of the S.T.E.M. disciplines and some of the social sciences. This booklet is designed to accompany the main book, Math Remediation for the College-Bound: How Teachers Can Close the Gap, from the Basics through Algebra. With the exception of Chapters 1 and 2, each chapter of the booklet consists of five sections: (1) practice homework, (2) a sample test, (3) the answers to selected and numbered exercises corresponding to their numbering in the book, (4) answers to the practice homework, and (5) answers to sample tests. This pattern begins with Chapter 3 and continues for the remainder of the book.

Contents
Introduction
3 Mental Math
4 Integers and Arithmetic Operations
5 Data, Statistics, and Graphs
6 A Love-Hate Relationship - Facts about Triangles, Intersecting Lines, and Units of Measurement
7 The Two Great Devils-The Negative Sign and the Negative Numbers
8 Change for Currency Notes-Simple Fractions
9 Exponents-Powers of 10
10 Powers of Variabl s and Constants
11 The World of Expressions and Elementary Equations
12 The Algebra Savior-Cross Products
13 Ratio and Proportion
14 just Shopping for the Best Deal
15 How Big? Perimeter, Area, and Volume
16 Slopes and Intercepts on the Algebra Trail
17 Mixed Numerals
18 Polynomials and Thei r Basic Operations
19 Factoring
20 Rati onal, Complex Rational, and Radical Expressions-Becoming an Algebra Guru
About the Authors

TI-Nspire Strategies: Geometry

Pamela Dase e Aimee L. Evans

 Shell Education Pub | 2008 | 226 páginas | rar - pdf | 2,57 Mb

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Maximize student use of technology while processing and learning geometric concepts with lessons that delve into the power of the TI-Nspire handheld. Included are practice pages to prepare students for testing situations that allow the use of graphing calculators or handhelds.

Outro livro da mesma série:

30 mathematics lessons using the TI-10 por Christine Dugan Idioma: Inglês   Editora: Huntington Beach, CA : Shell Education, ©2010.

Leveled Texts for Mathematics: Number and Operations

Lori Barker

Shell Education | 2011 | 147 páginas | rar - pdf | 5,42 Mb


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With a focus on number and operations, this resource provides the know-how to use leveled texts to differentiate instruction in mathematics. A total of 15 different topics are featured in and the high-interest text is written at four different reading levels with matching visuals. Practice problems are provided to reinforce what is taught in the passage. The included Teacher Resource CD features a modifiable version of each passage in text format and full-color versions of the texts and image files.

Table of Contents
What Is Differentiation?......4
How to Differentiate Using This Product......5
General Information About the Student Populations......6
Below-Grade-Level Students.........6
English Language Learners........6
On-Grade-Level Students.......7
Above-Grade-Level Students.........7
Strategies for Using the Leveled Texts........8
Below-Grade-Level Students......8
English Language Learners..... 11
Above-Grade-Level Students..... 14
How to Use This Product...... 16
Readability Chart... 16
Components of the Product..... 16
Tips for Managing the Product......... 18
Correlation to Mathematics Standards...... 19
Leveled Texts............ 21
Understanding Place Value to 6 Digits........ 21
Understanding Place Value to 10 Digits...... 29
Types of Numbers........ 37
Factors and Multiples....... 45
Comparing and Ordering Whole Numbers....... 53
Adding Large Numbers....... 61
Subtracting Large Numbers..... 69
Single-Digit Multiplication...... 77
Understanding Division..... 85
Two-Digit Multiplication.......... 93
Division with Two-Digit Divisors....... 101
Three- and Four-Digit Multiplication..... 109
Division with Three- and Four-Digit Divisors..... 117
Understanding Order of Operations...... 125
Estimation......... 133
Appendices........ 141
References Cited........ 141
Contents of Teacher Resource CD...... 142

Outros livros da mesma série:

Leveled texts for mathematics. Data analysis and probability por Stephanie Paris Idioma: Inglês   Editora: Huntington Beach, CA : Shell Education, ©2011.

Leveled texts for mathematics. Fractions, decimals, and percents por Lori Barker Idioma: Inglês   Editora: Huntington Beach, Calif. : Shell Education, 2011.

Leveled texts for mathematics. Geometry por Lori Barker Idioma: Inglês   Editora: Huntington Beach, Calif. : Shell Education, 2011.

Math Starters: 5- to 10-Minute Activities Aligned with the Common Core Math Standards, Grades 6-12

Judith A. Muschla, Gary Robert Muschla e Erin Muschla

Jossey-Bass | 2013 - 2ª edição | 450 páginas | rar - pdf | 2,3 Mb

link (password: matav)

A revised edition of the bestselling activities guide for math teachers

Now updated with new math activities for computers and mobile devices—and now organized by the Common Core State Standards—this book includes more than 650 ready-to-use math starter activities that get kids quickly focused and working as soon as they enter the classroom. Ideally suited for any math curriculum, these high-interest problems spark involvement in the day's lesson, help students build skills, and allow teachers to handle daily management tasks without wasting valuable instructional time.

• A newly updated edition of a bestselling title

• Ideal for math teachers in grades six through twelve

• Includes more than 650 ready-to-use starter problems

Contents
About the Authors xxv
Acknowledgments xxvii
About This Book xxix
Standards and Problems Chart xxxi
 PART 1: MAKING MATH STARTERS PART OF YOUR PROGRAM 1
The Value of Math Starters 3
Starting Class with a Math Starter 3
Purpose and Value of a Math-Starter Notebook 4
The Value of Written Explanations 7
Cooperative Problem Solving Using Math Starters 7
Organizing Groups for Problem Solving 7
The Value of Sharing and Discussion 11
Using Problem-Solving Strategies 11
Evaluation 14
Checklists 14
Point Systems 14
Quizzes That Include Math Starters 15
Review of Math-Starter Notebooks 15
Student Participation 15
Portfolios 15
A FinalWord 15
PART 2: MATH STARTERS 17
Section 1: Whole Numbers and Integers: Theory and Operations 19
Section 2: Rational Numbers: Fractions, Decimals, and Percents 51
Section 3: Algebra and Beyond 101
Section 4: Functions 163
Section 5: Geometry 185
Section 6: Statistics, Probability, and Data Analysis 281
Section 7: Number and Quantity 319
Section 8: Potpourri 335
Answer Key 363

Using Stories to Teach Maths Ages 9 to 11

Steve Way

Andrews UK | 2011 | 112 páginas | RAR - PDF | 4,4 Mb

link (password: matav)

Make the teaching of Maths a more exciting and creative cross-curricular experience! This new series provides original and fun stories, sketches and poems to use as the basis for teaching objectives from the Mathematics Programme of Study. The stories are supported by differentiated lesson plans and original resources such as card games and suggestions for kinaesthetic activities. Ages 9-11 stories include: Sneaky Circles, Hank Bullman rides into Certain City, Space Chase, Mediaevel Mode, Metric Measures Poem, Ratio Poem. The stories have been road-tested in schools and the children thoroughly enjoyed them!
Contents
Introduction 6
Sneaky Circles 9
Hank Bullman rides into Certain City 18
Space Chase 28
Chapter one: Nums and Doms 39
Chapter two: Another Time Bomb (apparently) 43
Chapter three: Planet Factor 47
Chapter four: Currency Conundrums 52
Chapter five: Star Ratio 57
Chapter six: Currency Conundrums 61
Chapter seven: A Whole Range of Averages 64
Chapter eight: Times-Table Trauma 69
Chapter nine: Cornered in Custard, Consumed by a Crocodile and Concerns about Corners 74
Chapter ten: DIY Dilemmas 80
Chapter eleven: The Cops Square up to Megiddio 84
Courtroom conundrums 94
Conundrum One: Prosecuting Percentages and Fighting Fractions 100
Conundrum Two: Decimal Dilemas 108
Percentages, Fractions and Decimals poem 115
Medieval Mode 118
Averages poem 126
Metric Measures poem 127
Ratio poem 129
Yorkshire Challenges 131
Challenge 1: Football Transfer 134
Challenge 2: Film 135
Challenge 3: Writing Competition 136
Challenge 4: Horse Racing 137

Challenge 5: Smuggling 138

Outro livro da mesma colecção:

Using Stories to Teach Maths 4 -7 por Way, Steve; Hickton, Simon Idioma: Inglês   Editora: Gardners Books 2010.

Calculus Mysteries and Thrillers

(Classroom Resource Materials) 

R. Grant Woods 

The Mathematical Association of America | 1998 | 152 páginas | rar - pdf | 4,6 Mb

link (password: matav)

This book is a collection of a dozen mathematics projects. These are typically novel, interesting and several levels more complex than those usually found in textbooks. The nature of the projects makes them suitable for group working. The problems involve such diverse concepts as Newton's method for approximating roots, inverse trigonometric functions and surface area integrals. Although ideas from economics and physics are used in the problems no prior knowledge of these fields is required.

ContentsThe Purpose of This Book ix
An Overview of the Projects xiii
Detailed Mathematical Requirements xv
The Projects
1. The Case of the Parabolic Pool Table 3
2. Calculus for Climatologists 9
3. The Case of the Swiveling Spotlight 13
4. Finding the Salami Curve 19
5. Saving Lunar Station Alpha 23
6. An Income Policy for Mediocria 29
7. The Case of the Cooling Cadaver 35
8. Designing Dipsticks 41
9. The Case of the Gilded Goose-egg 47
10. Sunken Treasure 51
11. The Case of the Alien Agent 57
The Solutions
1. The Case of the Parabolic Pool Table—Solution 67
2. Calculus for Climatologists—Solution 71
3. The Case of the Swiveling Spotlight—Solution 75
4. Finding the Salami Curve—Solution 81
5. Saving Lunar Station Alpha—Solution 87
6. An Income Policy for Mediocria—Solution 95
7. The Case of the Cooling Cadaver—Solution 103
8. Designing Dipsticks—Solution 107
9. The Case of the Gilded Goose-egg—Solution 113
10. Sunken Treasure—Solution 121
11. The Case of the Alien Agent—Solution 127

Leveled Texts for Mathematics Data Analysis and Probability

Stephanie Paris

Shell Education | 2011 | 147 páginas | rar -pdf | 23 Mb

link (password : matav)

Highlighting data analysis and probability, this resource provides the know-how to use leveled texts to differentiate instruction in mathematics. A total of 15 different topics are featured in and the high-interest text is written at four different reading levels with matching visuals. Practice problems are provided to reinforce what is taught in the passage. The included Teacher Resource CD features a modifiable version of each passage in text format and full-color versions of the texts and image files. This resource is correlated to the Common Core State Standards.

Table of Contents
What Is Differentiation?......4
How to Differentiate Using This Product.......5
General Information About the Student Populations........6
Below-Grade-Level Students........6
English Language Learners.......6
On-Grade-Level Students........7
Above-Grade-Level Students........7
Strategies for Using the Leveled Texts......8
Below-Grade-Level Students.......8
English Language Learners....... 11
Above-Grade-Level Students..... 14
How to Use This Product...... 16
Readability Chart........ 16
Components of the Product......... 17
Tips for Managing the Product....... 18
Correlation to Mathematics Standards..... 19
Leveled Texts......... 21
Collecting Data...... 21
Creating Pictographs...... 29
Analyzing Pictographs...... 37
Creating Bar Graphs...... 45
Analyzing Bar Graphs..... 53
Creating Line Graphs...... 61
Analyzing Line Graphs....... 69
Creating Circle Graphs...... 77
Analyzing Circle Graphs...... 85
Comparing Graphs.......... 93
What Does Mean Mean?....... 101
Median in the Middle...... 109
Mode and Range.......... 117
Probability of Events....... 125
Probability Experiments..... 133
Appendices...... 141
References Cited......... 141
Contents of Teacher Resource CD...... 142