### \$74.99

Welcome to Fostering Advanced Algebraic Thinking with Casio Technology.

This book, a sequel to a book focused on using the PRIZM to foster algebraic thinking, includes many meaningful investigations that use the Casio PRIZM graphing calculator to foster students’ advanced algebraic thinking. The investigations are written to both help students experience the value and power of mathematics and to engage students in using technology to develop a greater understanding of many fundamental advanced concepts in algebra.

In the investigations, students use the Casio PRIZM to model data using mathematical functions, and students then use the functions to analyze and interpret trends in the real world. For example, students use the PRIZM to model data on the trends in nightly hotel rates using polynomial functions, to approximate the velowcity of tsunami waves using a power function, and to investigate the relationship between infant mortality and gross domestic product using a rational function.

The Casio PRIZM graphing calculator, for which this volume has been written is, quite frankly, amazing. Selling for significantly less than most of the competition, the PRIZM is also more intuitive and provides some special functions that others don’t have, including dynamic graphing, spreadsheet capabilities, a choice of exponential models, a picture library, and COLOR! If you are not already familiar with the Casio PRIZM, then we think that you will be exceptionally pleased with its ease of use, its mathematical power, and the value it can add to your classroom.

As with all instructional tools, the use of graphing calculators should have a specific purpose. Certainly, for some lessons, the calculator merely speeds up the process and improves accuracy; for other lessons, calculators should be turned off. In many lessons, however, the graphing calculator can be a tremendous help for students in understanding, connecting, and mastering underlying concepts. This can be achieved in different ways. A graphing calculator can provide multiple representations of ideas, can help students overcome barriers with symbolic manipulations, and is a means for engaging students in “what if” scenarios. As you work your way through this book, we hope that you will find, as we have, the tremendous benefits that the Casio PRIZM graphing calculator can bring to your students.

Video Tutorials

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REF/RREF Function, Random Integers, Unit Conversion, New types of regressions, Chi-squared GOF function, 9 new probability functions, Pie charts & Bar Graphs, Graph X=f(Y), And much more! (not C.A.S.)

REF/RREF Function, Random Integers, Unit Conversion, New types of regressions, Chi-squared GOF function, 9 new probability functions, Pie charts & Bar Graphs, Graph X=f(Y), And much more! (not C.A.S.)

REF/RREF Function, Random Integers, Unit Conversion, New types of regressions, Chi-squared GOF function, 9 new probability functions, Pie charts & Bar Graphs, Graph X=f(Y), And much more! (not C.A.S.)

REF/RREF Function, Random Integers, Unit Conversion, New types of regressions, Chi-squared GOF function, 9 new probability functions, Pie charts & Bar Graphs, Graph X=f(Y), And much more! (not C.A.S.)

REF/RREF Function, Random Integers,Unit Conversion, New types of regressions, Chi-squared GOF function, 9 new probability functions, Pie charts & Bar Graphs, Graph X=f(Y), And much more! (not C.A.S.)

REF/RREF Function, Random Integers,New types of regressions, Chi-squared GOF function, 9 new probability functions, Pie charts & Bar Graphs, Graph X=f(Y), And much more! (not C.A.S.)

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With the advanced features of a next-generation graphing calculator, the fx-CG50 PRIZMTM will support students and educators through middle school and high school and into college. With Natural Textbook Display and an intuitive icon-based menu, students will find the PRIZMTM incredibly easy to use and its brand-new 3D Graph Drawing and improved catalog function allows for greater engagement and real-life application in the mathematics classroom.

With the advanced features of a next-generation graphing calculator, the fx-CG50 PRIZMTM will support students and educators through middle school and high school and into college. With Natural Textbook Display and an intuitive icon-based menu, students will find the PRIZMTM incredibly easy to use and its brand-new 3D Graph Drawing and improved catalog function allows for greater engagement and real-life application in the mathematics classroom.

PRIZM™ is revolutionary among graphing calculators with features that enhance users’ understanding of mathematics. With conventional graphing calculators, students learn by inputting equations to create graphs. PRIZM™ creates a whole new way to learn math by enabling students to experiment by creating their own graphs over pictures of real-life scenes, and then understand the functions from the graphs that they created on their own. (not C.A.S.)

PRIZM™ is revolutionary among graphing calculators with features that enhance users’ understanding of mathematics. With conventional graphing calculators, students learn by inputting equations to create graphs. PRIZM™ creates a whole new way to learn math by enabling students to experiment by creating their own graphs over pictures of real-life scenes, and then understand the functions from the graphs that they created on their own. (not C.A.S.)

The fx-CG500 brings touchscreen technology to the graphing calculator. Its extra-large screen allows for more complete and detailed viewing of mathematics and its drag-and-drop functionality enables students to quickly and intuitively pull information from one representation into another. Incorporating Casio’s standard Natural Textbook Display, convenient drop-down menus, and a handy soft keyboard, the fx-CG500 will impress you with how easy to use it can be.

Equipped with a high resolution 4.8 inch large touch-panel LCD, the fx-CP400 provides clearer images of mathematical data for students, as well as a better way to comprehend the relationships between their equations and graphs since the calculator can display both at the same time. Also, with the touch of a button, the fx-CP400 can switch from a vertical view to a horizontal view, which is convenient for displaying long mathematical formulas on a single line. Both of these capabilities make it easier for students to grasp difficult mathematical concepts.

All purpose Scientific Calculator offers fraction calculations, trigonometric functions and more. Includes a slide-on hard case and it is solar powered.

All purpose Scientific Calculator offers fraction calculations, trigonometric functions and more. Includes a slide-on hard case and it is solar powered.

Featuring a 240 Built-In Functions, 10 Digit-10 + 2 Display and Solar Plus, the FX-300MSPlus is permitted on College Entrance Examination Boards like the SAT and PSAT/NMSQT.

Casio’s latest standard scientific calculator features new Natural Textbook Display and improved math functionality. FX-300ES PLUS has been designed as the perfect choice for middle school through high school students learning General Math, Trigonometry, Statistics, Algebra I and II, Pre-Algebra, Geometry, Physics.

Casio’s latest standard scientific calculator features new Natural Textbook Display and improved math functionality. FX-300ES PLUS has been designed as the perfect choice for middle school through high school students learning General Math, Trigonometry, Statistics, Algebra I and II, Pre-Algebra, Geometry, Physics.

With Natural Textbook Display, the fx-55 PLUS helps students learn elementary mathematics such as Fraction, Division with Remainder and Random numbers. True Fraction Display helps student understand the mathematics behind improper fractions, mixed fractions and simplification.

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Casio’s latest standard scientific calculator features new Natural Textbook Display and improved math functionality. FX-300ES PLUS has been designed as the perfect choice for middle school through high school students learning General Math, Trigonometry, Statistics, Algebra I and II, Pre-Algebra, Geometry, Physics.

Featuring a 279 Built-In Functions, 2-Line Big Display and Solar Plus, the FX-115MSPlus is permitted on College Entrance Examination Boards like the SAT and PSAT/NMSQT.

Casio’s latest and most advanced scientific calculator features new Natural Textbook Display and improved math functionality. FX-115ES PLUS has been designed to be the perfect choice for high school and college students learning General Math, Trigonometry, Statistics, Algebra I and II, Calculus, Engineering, Physics.

A new high-performance scientific that has higher resolution to increase the amount of information to be displayed and super-fast calculations for high-stakes testing or for performing the most advanced mathematics.

Its new high resolution LCD screen allows for more information for applications like Spread-sheets and 4X4 matrix calculations. This calculator has a comprehensive set of advanced calculations for integration & differential calculations, along with vector and inequality calculations. For the middle and high school grades, we’ve incorporated basic spreadsheet functionality, ratio and statistical functionality, down to ratio calculation and prime factorization.

No matter what the need, this scientific can do it all! Need graphical representation for data generated by the fx-991EX – no problem! Generate a QR code for your problem, scan the code and immediately see a graphical representation of your data; with a classroom, students can see their collective date in real time with other students.

Financial Calculator with a Dot Matrix Display and power and exclusive built-in functions like Cost/Sell/Margin.

#### Teacher Pack comes with a sleek storage case that contains 10 calculators, 1 workbook, 1 poster and instruction manual.

With Natural Textbook Display, the fx-55 PLUS helps students learn elementary mathematics such as Fraction, Division with Remainder and Random numbers. True Fraction Display helps student understand the mathematics behind improper fractions, mixed fractions and simplification.

Teacher Pack comes with a sleek storage case that contains 10 calculators, 1 workbook, 1 poster and instruction manual.

Casio’s latest standard scientific calculator features and new Natural Textbook Display and improved math functionality. FX-300ES PLUS has been designed as the perfect choice for middle school through high school students learning General Math, Trigonometry, Statistics, Algebra I and II, Pre-Algebra, Geometry, Physics.

This general purpose handheld calculator features an 8-digit display, independent memory, and super solar function for continuous use.

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This 8-digit, Solar Plus calculator features a large, clear display.

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All basic calculators are not equipped equally. Casio’s SL-450S reaches beyond the basics with many unique functions and features designed to help beginning math students and their teachers.

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Solar Plus Power, independent memory, and a profit-margin percent function make this calculator a perfect choice for business and home use.

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Solar Plus Power, independent memory, and a profit-margin percent function make this calculator a perfect choice for business and home use.

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Solar Plus Power, independent memory, and a profit-margin percent function make this calculator a perfect choice for business and home use.

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Solar Plus Power, independent memory, and a profit-margin percent function make this calculator a perfect choice for business and home use.

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Solar Plus Power, independent memory, and a profit-margin percent function make this calculator a perfect choice for business and home use.

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The large easy to read Big Display and folding case make this basic calculator perfect to use at home or away.

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Featuring a Solar Plus, Function Command Signs and a Giant Display, this 8-Digit calculator folds to pocket size. A hard-shell, plastic outer case keeps it well-protected.

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Teacher Pack comes with a sleek storage case that contains 10 calculators, 1 workbook, 1 poster and instruction manual.

Casio’s SL-450S reaches beyond the basics with many unique functions and features designed to help beginning math students and their teachers.

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Casio Education Workbook Lesson Sampler (PDF 1.32MB)

Created for teachers, by teachers, this workbook features non-sequential lesson plans, how-to’s and activities designed for use as stand-alone lessons or within any math curriculum.

Casio Education Workbook Lesson Sampler (PDF 1.32MB)

Created for teachers, by teachers, this workbook features non-sequential lesson plans, how-to’s and activities designed for use as stand-alone lessons or within any math curriculum.

Casio Education Workbook Lesson Sampler (PDF 1.32MB)

Created for teachers, by teachers, this workbook features non-sequential lesson plans, how-to’s and activities designed for use as stand-alone lessons or within any math curriculum.

Casio Education Workbook Lesson Sampler (PDF 1.32MB)

Created for teachers, by teachers, this workbook features non-sequential lesson plans, how-to’s and activities designed for use as stand-alone lessons or within any math curriculum.

Casio Education Workbook Lesson Sampler (PDF 1.32MB)

Created for teachers, by teachers, this workbook features non-sequential lesson plans, how-to’s and activities designed for use as stand-alone lessons or within any math curriculum.

Casio Education Workbook Lesson Sampler (PDF 1.32MB)

Created for teachers, by teachers, this workbook features non-sequential lesson plans, how-to’s and activities designed for use as stand-alone lessons or within any math curriculum.

Create for teachers by teachers, this workbook features activities for elementary grades. These engaging how-to’s and activities designed for use as stand-alone lessons or within any math curriculum.

Created for teachers, by teachers, this workbook features activities for the middle grades. These engaging how-to’s and activities designed for use as stand-alone lessons or within any math curriculum.

Created for teachers, by teachers, this workbook features activities for the middle grades. These engaging how-to’s and activities are designed for use as stand-alone lessons or within any math curriculum.

Fostering Statistical Thinking with Casio Technology.

Every day we are exposed to statistical arguments. Statistical arguments affect, or at least should affect, decisions related to politics, manufacturing, economics, science, and almost every area imaginable. Consequently, statistical literacy is essential for citizenship; without it, we will not understand the rationale (or lack thereof) for decisions that influence our lives. Furthermore, we will not be equipped with the knowledge and skills we need to make important data-driven decisions.

Before many of the technological advances of the last couple of decades, the study of statistics consisted primarily of tedious calculations. Often even those people with excellent arithmetic skills avoided the study of statistics because the focus was, necessarily, more on computation than on conceptual development and solving meaningful problems. However, now, with technology such as the Casio PRIZM, not only can we make the calculations far more efficiently and more precisely, but we have a wealth of statistical strategies at our fingertips. We can represent and describe data in multiple ways, construct models that were previously unavailable to us, and construct confidence intervals and hypothesis tests that were virtually impossible without technology. Quite simply, in the past we were limited to simplistic techniques and easy, often contrived examples. We are now free to focus on more realistic and interesting scenarios; with the aid of technology, we can now foster sound statistical thinking.

The intent of this book is to provide a powerful resource for teachers that will develop their students’ ability to depict, to interpret, and to analyze data. Problems address both descriptive and inferential statistics and come from a variety of disciplines and contexts. We believe you will find that if students tackle these explorations, they will, under the guidance of their teacher, develop the statistical literacy they need not only for success in a high school statistics course, but for becoming informed and contributing members of society.

Fostering STEM Education with CASIO Technology is a research-based, university-developed book providing classroom teachers with meaningful investigations using the PRIZM. Content includes... “Did You Know?” questions to help engage students, thought provoking questions to help extend the investigation, hands-on activity suggestions to get students actively involved in engineering and touches on the mathematics of a variety of Physics and Chemistry topics using a common theme of Energy.

This book includes many meaningful investigations that use the Casio PRIZM graphing calculator to foster students’ geometric thinking. The investigations focus on using the construction and measurement capabilities of the Casio PRIZM and the picture library to support students in “constructing” their own understanding of geometric concepts.

Geometry is the branch of mathematics that focuses on the properties, and measurement of points, lines, angles, surfaces, and solids, and, the exploration of the relationships between these properties and measurements. The Common Core State Standards for Mathematics provide more definition of what constitutes the study of geometry. In grades 5-12, a study of geometry focuses on properties of polygons and circles, congruence and similarity, perimeter, area, and volume formulas, right triangles and trigonometric ratios, and applications of geometric concepts. The eight chapters in this book are purposefully aligned with the study of geometry in grades 5-12, as defined in these standards.

The National Council of Teachers of Mathematics has long emphasized the important role of dynamic software in the teaching and learning of geometry. Dynamic geometry software, such as that of the Casio PRIZM, allow students to investigate, describe, and represent geometric properties, make conjectures, and formulate convincing mathematical explanations. The Casio PRIZM is a handheld graphing calculator with 65,000 colors, an extensive library of pictures, outstanding resolution, and interactive dynamic geometry software.

This book engages students in using the Casio PRIZM to construct their own understanding of geometry. For example, students use the PRIZM to investigate geometric properties of reflections by viewing an image of the U.S. Capitol Building in its Reflection Pool. While relaxing by a swimming pool with a PRIZM in one hand and lemonade in the other, students will determine the volume of a pentagonal prism. Students will also take a PRIZM on a safari in Africa to explore area formulas for trapezoids, triangles, and circles.

Fostering Geometric Thinking with Casio Technology focuses on taking full advantage of the Casio PRIZM’s dynamic geometry software, library of pictures, and the high-color LCD display to revolutionize the teaching and learning of geometry. So, with the Casio PRIZM in hand, prepare to investigate geometry concepts from a new perspective!

Welcome to Fostering Advanced Algebraic Thinking with Casio Technology.

This book, a sequel to a book focused on using the PRIZM to foster algebraic thinking, includes many meaningful investigations that use the Casio PRIZM graphing calculator to foster students’ advanced algebraic thinking. The investigations are written to both help students experience the value and power of mathematics and to engage students in using technology to develop a greater understanding of many fundamental advanced concepts in algebra.

In the investigations, students use the Casio PRIZM to model data using mathematical functions, and students then use the functions to analyze and interpret trends in the real world. For example, students use the PRIZM to model data on the trends in nightly hotel rates using polynomial functions, to approximate the velowcity of tsunami waves using a power function, and to investigate the relationship between infant mortality and gross domestic product using a rational function.

The Casio PRIZM graphing calculator, for which this volume has been written is, quite frankly, amazing. Selling for significantly less than most of the competition, the PRIZM is also more intuitive and provides some special functions that others don’t have, including dynamic graphing, spreadsheet capabilities, a choice of exponential models, a picture library, and COLOR! If you are not already familiar with the Casio PRIZM, then we think that you will be exceptionally pleased with its ease of use, its mathematical power, and the value it can add to your classroom.

As with all instructional tools, the use of graphing calculators should have a specific purpose. Certainly, for some lessons, the calculator merely speeds up the process and improves accuracy; for other lessons, calculators should be turned off. In many lessons, however, the graphing calculator can be a tremendous help for students in understanding, connecting, and mastering underlying concepts. This can be achieved in different ways. A graphing calculator can provide multiple representations of ideas, can help students overcome barriers with symbolic manipulations, and is a means for engaging students in “what if” scenarios. As you work your way through this book, we hope that you will find, as we have, the tremendous benefits that the Casio PRIZM graphing calculator can bring to your students.

Welcome to Fostering Algebraic Thinking with Casio Technology.

This book includes many meaningful investigations that use the Casio PRIZM graphing calculator to foster students’ algebraic thinking. The investigations are written to both help students experience the value and power of mathematics, and to help them develop a greater understanding of many fundamental concepts in algebra – most notably, the concept of function.

To do so, the investigations use the Casio PRIZM to engage students in modeling data using mathematical functions to represent, analyze, and interpret trends in the real world. For example, students use the PRIZM to model data on the supply and demand of medical doctors in Michigan, the results of an aerial count of elephants in Chad, and the acceleration due to gravity on all of the planets in our solar system.

The Casio PRIZM graphing calculator for which this volume has been written is, quite frankly, amazing. Selling for significantly less than most of the competition, the PRIZM is also more intuitive and provides some special functions, including dynamic graphing, spreadsheet capabilities, a choice of exponential models, a picture library, and COLOR!, that others don’t have. If you are not already familiar with the Casio PRIZM, then we think that you will be exceptionally pleased with its ease of use, its power, and the value it can add to your classroom.

As with all instructional tools, the use of graphing calculators should have a specific purpose. Certainly, for some lessons, the calculator merely speeds up the process and improves accuracy, and, for other lessons, calculators should be turned off. However, in many lessons, the graphing calculator can be a tremendous help for students in understanding, connecting, and mastering underlying concepts. This can be achieved in different ways. A graphing calculator can provide multiple representations of ideas, can help students overcome barriers they may have with certain symbolic manipulations, and can offer a tool for engaging students in &ldquowhat if” scenarios. As you work your way through this book, we hope that you will find, as we have, the tremendous benefits that the Casio PRIZM graphing calculator can bring to your students.

Welcome to Fostering Mathematical Thinking through Music, another volume in the Casio series of books intended to make mathematics intriguing in a way that engages them in meaningful, thought-provoking investigations that lead to deep understanding of key mathematical ideas.

Mathematics is everywhere. It involves a fundamental way of thinking that supports learning in every discipline, from physical sciences to social sciences, from physical education to psychological and social education, from language arts to fine arts. The mathematics classroom can and should be the most fascinating of all classrooms, as we can draw upon all other walks of life to lead students to develop their abilities to think and reason mathematically and to solve problems as they connect mathematical ideas to their experiences and prior knowledge. Sadly, the mathematics classroom that accomplishes this is the exception, not the rule. Despite the research on how we learn, despite the emphasis on inquiry-based instruction and learning, and despite the fact that so many people accept (erroneously) that they, along with others, simply aren’t good in math, the typical mathematics classroom remains one in which teachers demonstrate a skill, students practice it in an effort to automate it even without an understanding of the underlying ideas, teachers test the skills, and students forget what they have learned shortly after the lesson. Quite simply, we have to change.

So with so many disciplines to choose from, why is this book focused on music? Music is an area with intriguing connections to mathematics. Research is beginning to shed light on some of the cognitive connections that exist, and, in fact, many mathematics professors and teachers have excellent musical talent. In addition to being one of our passions, music also is an area of interest for the vast majority of students. Not only does it provide motivation for learning, it also provides a means to help even those who do not consider themselves overly musical to learn important ideas in a way that they will retain the ideas as they become stronger mathematical thinkers.

The investigations presented in this volume are compatible with both the processes and content espoused by the Common Core State Standards for mathematics. Our goal is to expand students’ understanding in a wide variety of topics, from fractions to algebra to trigonometry. Some of the investigations are intended for students as young as fourth or fifth grade, while others are intended for students perhaps in a pre-calculus class. Nevertheless, we believe the majority of investigations are accessible to, and would be valuable for, the majority of students.

The sample solutions are written for teachers. They are not meant to be an exclusive way for conducting the investigating, but instead suggest to teachers a possible way that they might guide their students, with discussion of the underlying ideas and some of the pitfalls that students might encounter. Thus, these investigations are not written as lesson plans. Teachers can take the investigations and structure them into lesson plans in a way that will be the most useful for their own students. They may choose to use only parts of some of the investigations, while with others they may want to extend the investigation over several class periods.

As we have discussed in other editions of the Fostering series, we believe for truly deep and meaningful learning to occur, students must first explore, trying to make sense of things for themselves, prior to an explanation; this, to us, is the heart of inquiry. In fact, the teachers with whom we have worked have heard us say “Explore before Explain” probably more times than we would care to admit. Because few of us were taught mathematics this way, this seemingly simple idea turns the traditional mathematics classroom on its head. It is not an easy transition for most teachers; it is much simpler (and often more comfortable) to tell students how to perform procedures.

At the heart of inquiry, we should begin with context. To many math students, context suggests the dreaded word problems at the end of each section of the text. Though we believe firmly that students should be challenged to solve difficult problems, we also believe that contexts that students understand and have experience with should be used so that students can connect what they’re learning to what they already know. In this way, the mathematics becomes more intuitive, and students are far more likely to retain the underlying ideas.

Casio Education Workbook Lesson Sampler (PDF 1.32MB)

Fostering Geometric Thinking with CASIO Technology is a research-based, university-developed book that provides classroom teachers with meaningful investigations using the PRIZM.