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Math Essentials, High School Level gives high school math teachers the tools they need to help prepare all types of students (including gifted and learning disabled) for standards-based mathematics testing. This dynamic book covers thirty key objectives found in a typical secondary mathematics curriculum, including algebraic thinking; graphs, statistics and probability; linear and quadratic functions and their properties; and geometry and measurement with applications. Each objective contains three lessons: manipulative, pictorial, and independent practice. Lessons include worksheets or patterns and answer keys, and each section ends with a practice test and answer key.
Provides structure and guidance to the teacher by means of speed drills, review exercises, teacher tips, word problems and new material for each day.
This book reminds students in junior, senior and graduate level courses in physics, chemistry and engineering of the math they may have forgotten (or learned imperfectly) that is needed to succeed in science courses. The focus is on math actually used in physics, chemistry, and engineering, and the approach to mathematics begins with 12 examples of increasing complexity, designed to hone the student's ability to think in mathematical terms and to apply quantitative methods to scientific problems. Detailed illustrations and links to reference material online help further comprehension. The second edition features new problems and illustrations and features expanded chapters on matrix algebra and differential equations. - Use of proven pedagogical techniques developed during the author's 40 years of teaching experience - New practice problems and exercises to enhance comprehension - Coverage of fairly advanced topics, including vector and matrix algebra, partial differential equations, special functions and complex variables
Are sequences functions? Why can’t the popular “vertical line test” be applied in some cases to determine if a relation is a function? How does the idea of rate of change connect with simpler ideas about proportionality as well as more advanced topics in calculus? How much do you know… and how much do you need to know? Helping your high school students develop a robust understanding of functions requires that you understand mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about functions. It is organised around five big ideas, supported by multiple smaller, interconnected ideas-essential understandings. Taking you beyond a simple introduction to functions, this book will broaden and deepen your mathematical understanding of one of the most challenging topics for students and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls and dispel misconceptions. You will also learn to develop appropriate tasks, techniques and tools for assessing students’ understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently.
When you have a solid grasp of the fundamentals, there is no quantitative problem on the GMAT that you cannot solve. This book covers all of the fundamental mathematics you will face on the exam, making it the ideal refresher for anyone who has spent time away from the subject. Offering step-by-step illustrations and informative exercises, this book will help you sharpen your skills and prepare you to tackle the more advanced GMAT problems.
Textbook and self-study guide for students beginning to study mathematics requiring proof.
Essential Mathematics for Games and Interactive Applications, 2nd edition presents the core mathematics necessary for sophisticated 3D graphics and interactive physical simulations. The book begins with linear algebra and matrix multiplication and expands on this foundation to cover such topics as color and lighting, interpolation, animation and basic game physics. Essential Mathematics focuses on the issues of 3D game development important to programmers and includes optimization guidance throughout. The new edition Windows code will now use Visual Studio.NET. There will also be DirectX support provided, along with OpenGL - due to its cross-platform nature. Programmers will find more concrete examples included in this edition, as well as additional information on tuning, optimization and robustness. The book has a companion CD-ROM with exercises and a test bank for the academic secondary market, and for main market: code examples built around a shared code base, including a math library covering all the topics presented in the book, a core vector/matrix math engine, and libraries to support basic 3D rendering and interaction.
Illustrated workbook for learning, practicing, and mastering pre-algebra mathematics.