The 3x+1 problem is one of the most (in)famous problems in mathematics today. The problem is simple to explain, but in its 83 years of existence, no-one has come close to solving it. This book presents new patterns within the 3x+1 problem, which to some extend can be graphed in the 3x+1 maze. This allows a new interpretation of the problem, still open for further research. Any reader with some academic mathematical knowledge will be able to read this book, although it may require some self-study. New theory and known literature are structured such that the reader can directly connect the results and understand their context. Formal proofs are only given in the final chapter, and provide many details. If you are curious about the 3x+1 problem, this book provides a rich theory from which you can start your own research. And who knows what you will find?

This easy-to-use packet is chock full of stimulating activities that will jumpstart your students' interest in algebra while reinforcing the major concepts of working with whole numbers. A variety of puzzles, mazes, games, and worksheets will challenge students to think creatively as they practice order of operations, evaluate expressions, and write and solve equations and inequalities. A special assessment page to help prepare students for standardized tests and an answer key are also included.

Motivate Your Students! This easy-to-use workbook is chock full of stimulating activities that will jumpstart your students' interest in algebra while reinforcing the major algebra concepts. A variety of puzzles, mazes, and games will challenge students to think creatively as they sharpen their algebra skills. A special assessment section is also included to help prepare students for standardized tests.

There are certain mistakes that students frequently make while learning algebra. This packet, focusing on expressions, equations, and inequalities, clearly explains these mistakes so students can avoid them. Examples then illustrate the correct way of working an algebra problem, and practice problems are provided. Puzzles and games based on scientific formulas and interesting facts challenge students to think creatively. Self-checking exercises motivate students to finish each page while acquiring valuable algebraic skills.

Precalculus: A Functional Approach to Graphing and Problem Solving prepares students for the concepts and applications they will encounter in future calculus courses. In far too many texts, process is stressed over insight and understanding, and students move on to calculus ill equipped to think conceptually about its essential ideas. This text provides sound development of the important mathematical underpinnings of calculus, stimulating problems and exercises, and a well-developed, engaging pedagogy. Students will leave with a clear understanding of what lies ahead in their future calculus courses. Instructors will find that Smith's straightforward, student-friendly presentation provides exactly what they have been looking for in a text!

This book was designed to help students learn how to graph linear equations. Topics covered include plotting points, graphing lines by making tables, using slope-intercept method, using the slope formula, rewriting equations in slope-intercept form, finding the equation of a line when give two points or one point and the slope, etc. Complete tutorials help explain each concept. Teachers can use these in classes as well. Contains worksheets, quizzes, puzzles and more. Complete answer keys are provided after each activity. Also includes example problems from Common Core assessments on graphing. You CAN teach yourself to graph linear equations!

This easy-to-use workbook is full of stimulating activities that will give your students a solid introduction to precalculus! A variety of lessons, puzzles, mazes, and practice problems will challenge students to think creatively as they work to build their precalculus skills. Each lesson begins with a clear explanation of a featured precalculus topic, providing extra review and reinforcement. A special assessment section is included at the end of the book to help students prepare for standardized tests. 48 pages