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This workbook provides practice in working with fractional numbers and mixed numbers. Emphasis is placed upon addition, subtraction, multiplication, and division. Practice is also provided in renaming proper and improper fractions. The exercises correlate with the material on fractional numbers presented in basic middle grade mathematics texts. The pages are presented in a suggested order, but may be used in any order which best meets the child's needs. Parents who wish their children to have practice in mathematics skills will find the book as helpful as classroom teachers will find it. The exercises are presented so that a child can work with a minimum of supervision. Answers are included in a four-page leaflet in the middle of the book, which can be easily removed.
The theorems and principles of basic geometry are clearly presented in this workbook, along with examples and exercises for practice. All concepts are explained in an easy-to-understand fashion to help students grasp geometry and form a solid foundation for advanced learning in mathematics. Each page introduces a new concept, along with a puzzle or riddle which reveals a fun fact. Thought-provoking exercises encourage students to enjoy working the pages while gaining valuable practice in geometry.
Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Fractions, Tilings, and Geometry is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute. The overall goal of the course is an introduction to non-periodic tilings in two dimensions and space-filling polyhedra. While the course does not address quasicrystals, it provides the underlying mathematics that is used in their study. Because of this goal, the course explores Penrose tilings, the irrationality of the golden ratio, the connections between tessellations and packing problems, and Voronoi diagrams in 2 and 3 dimensions. These topics all connect to precollege mathematics, either as core ideas (irrational numbers) or enrichment for standard topics in geometry (polygons, angles, and constructions). But this book isn't a “course” in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes. These materials provide participants with the opportunity for authentic mathematical discovery—participants build mathematical structures by investigating patterns, use reasoning to test and formalize their ideas, offer and negotiate mathematical definitions, and apply their theories and mathematical machinery to solve problems. Fractions, Tilings, and Geometry is a volume of the book series “IAS/PCMI—The Teacher Program Series” published by the American Mathematical Society. Each volume in this series covers the content of one Summer School Teacher Program year and is independent of the rest.
In just minutes a day, students can master math facts with this specially designed program. Using rules, patterns and memory tools similar to those used in language arts, Math Phonics (tm) is great for introducing concepts or providing alternative techniques.
The material in this book will provide sound practice in basic mathematical operations. Emphasis is placed on determining operations, working with graphs, money, time, averaging, measurement, volume, and percents. This workbook is designed to provide practice for the student and is compatible with classroom instruction. The pages are presented in a suggested order, but may be used in any order which best meets a child's needs. Parents who wish their children to have practice in word problems will find the book as helpful as classroom teachers will find it. The exercises are presented so that a child can work with a minimum of supervision. Answers are included in a four-page leaflet in the middle of the book. This leaflet can be easily removed.
Use interactive notetaking to engage students and develop deep learning! With valuable strategies for vocabulary development, activating prior knowledge, summarizing, building comprehension, using primary sources, and review, this resource contains creative methods for students to learn and remember content. Using interactive notetaking strategies will help students organize and store their notes, study for tests, and take ownership of their learning. With model lessons correlated to College and Career Readiness and other state standards, this resource provides students with creative ways to develop positive notetaking habits now.
There is a nineteen-year recurrence in the apparent position of the sun and moon against the background of the stars, a pattern observed long ago by the Babylonians. In the course of those nineteen years the Earth experiences 235 lunar cycles. Suppose we calculate the ratio of Earth's period about the sun to the moon's period about Earth. That ratio has 235/19 as one of its early continued fraction convergents, which explains the apparent periodicity. Exploring Continued Fractions explains this and other recurrent phenomena—astronomical transits and conjunctions, lifecycles of cicadas, eclipses—by way of continued fraction expansions. The deeper purpose is to find patterns, solve puzzles, and discover some appealing number theory. The reader will explore several algorithms for computing continued fractions, including some new to the literature. He or she will also explore the surprisingly large portion of number theory connected to continued fractions: Pythagorean triples, Diophantine equations, the Stern-Brocot tree, and a number of combinatorial sequences. The book features a pleasantly discursive style with excursions into music (The Well-Tempered Clavier), history (the Ishango bone and Plimpton 322), classics (the shape of More's Utopia) and whimsy (dropping a black hole on Earth's surface). Andy Simoson has won both the Chauvenet Prize and Pólya Award for expository writing from the MAA and his Voltaire's Riddle was a Choice magazine Outstanding Academic Title. This book is an enjoyable ramble through some beautiful mathematics. For most of the journey the only necessary prerequisites are a minimal familiarity with mathematical reasoning and a sense of fun.
Our November activity book has been prepared to help teachers of lower elementary grades in their efforts to teach a unit using themes of Thanksgiving. Stories are included which discuss the Pilgrims, Native Americans, the Mayflower, and other topics related to the Thanksgiving season. Activities include creative writing, group cooking, a Word-A-Gram, and food recipes for the Thanksgiving Feast.
Original documents, time lines and letters present the facts about the battles, heroes and causes surrounding the fight for Texas independence. A host of fun and challenging activities reinforce key terms, provide context and explore contemporary relevance.
This book will help "turn on the light" as each workout is designed to engage students' exploration of algebra as they complete each thought-provoking, skill-building activity. Each workout is easily reproducible and includes an answer key or mini-lesson that demonstrates how to solve each problem. 14 practical teaching tips are included.