## Maths units list

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What is sixth grade math? The goal is to become more fluent in arithmetic (including fractions, decimals, percents, exponents, and negative numbers) and also to prepare prealgebra skills. Not all schools and teachers around the world cover the same topics in the same depth in 6th grade, yet at this stage the student is generally learning a variety of arithmetic and prealgebra skills. This sixth grade math workbook includes:

• order of operations
• ratios and proportions
• prime factorization (including factor trees and ladder diagrams)
• fractions, decimals, and percents
• data analysis (including histograms, box-and-whisker, stem-and-leaf, and dot plots)
• negative numbers
• exponents and squareroots
• geometric figures and the coordinate plane
• direct and inverse relationships
• a first introduction to working with variables
• financial mathematics
• and other sixth grade math and prealgebra skills

What does this workbook include?
With over 300 pages divided into 10 chapters, this book is packed with content. Each section presents a concise introduction to the pertinent concepts and includes examples to help serve as a guide. Exercises in each section offer practice. Answers are tabulated at the back of the book. Each chapter also ends with multiple choice questions that help assess how well the student has learned the material from the chapter.
This book covers a wide variety of sixth grade topics. A few of the main goals of sixth grade math are to become fluent in arithmetic, understand different operations and the order of operations, and to prepare for algebra.
Chapter 1 begins with arithmetic operations. Some sections are designed to improve fluency with multiplication and division, others introduce important ideas like the distributive property or the order of operations, and a couple of sections offer a preview of algebra skills like how to factor a perfect square out of a square root.
Chapters 2-3 provide a thorough review of essential skills involving fractions, decimals, and percents, including repeating decimals.
Chapter 4 covers ratios, proportions, and the rate equation. Ratios and rates involve important reasoning skills and are commonly encountered in word problems.
Chapter 5 introduces the idea of a variable and introduces basic algebra skills. The idea of this chapter is to help bridge the gap between sixth grade math and algebra. Topics include combining like terms, isolating the unknown, the connection between words and variables, solving simple equations, rules for exponents, and inequalities. A few sections offer a taste of algebra techniques such as working with square roots of variables or how to cross multiply. (Remember that the idea here is to give students some early exposure to algebra. The student should not be expected to become fluent in algebra until the student actually takes an algebra course. A little preview of algebra sometimes makes the transition easier.)
Chapter 6 discusses additive, multiplicative, and linear relationships, with emphasis on modeling and applications.
Chapter 7 covers data analysis, including the mean, median, range, standard deviation, interquartile range, frequency, relative frequency, and mode. Graphs include box-and-whisker plots, dot plots, histograms, stem-and-leaf plots, percent bar graphs, and pie charts.
Chapter 8 focuses on coordinate graphs with the algebraic variables x and y. This includes ordered pairs, the four quadrants, finding slope, the y-intercept, and the equation for a straight line.
Chapter 9 includes some basic geometric principles, like the angle sum theorem for triangles, complementary angles, supplementary angles, the triangle inequality, the Pythagorean theorem, quadrilaterals, perimeter, area, and volume.
Chapter 10 introduces a few important aspects of finance. Many schools include a little financial math in the curriculum because this is a practical aspect of mathematics.

Authors Chris McMullen, Ph.D. Zishka Publishing 2019 English 338 1941691560 978-1941691564
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## Authors biography

Dr. Chris McMullen has over 20 years of experience teaching university physics in California, Oklahoma, Pennsylvania, and Louisiana. Dr. McMullen is also an author of math and science books. Whether in the classroom or as a writer, Dr. McMullen loves sharing knowledge and the art of motivating and engaging students. Chris McMullen earned his Ph.D. in phenomenological high-energy physics (particle physics) from Oklahoma State University in 2002. Originally from California, Dr. McMullen earned his Master's degree from California State University, Northridge, where his thesis was in the field of electron spin resonance. Dr. McMullen is well-known for: • engaging students in challenging ideas through creativity • breaking difficult problems down into manageable steps • providing clear and convincing explanations to subtle issues • his mastery of physics and strong background in mathematics • helping students become more fluent in practical math skills As a physics teacher, Dr. McMullen observed that many students lack fluency in fundamental math skills. In an effort to help students of all ages and levels master basic math skills, he published a series of math workbooks on arithmetic, fractions, algebra, geometry, trigonometry, and calculus called the Improve Your Math Fluency Series. Dr. McMullen has also published a variety of science books, including introductions to basic astronomy and chemistry concepts in addition to physics workbooks. Dr. McMullen is very passionate about teaching. Many students and observers have been impressed with the transformation that occurs when he walks into the classroom, and the interactive engaged discussions that he leads during class time. Dr. McMullen is well-known for drawing monkeys and using them in his physics examples and problems, using his creativity to inspire students. A stressed-out student is likely to be told to throw some bananas at monkeys, smile, and think happy physics thoughts. Dr. McMullen first published The Visual Guide to Extra Dimensions, Volumes 1 and 2, to share his passion for the geometry and physics of the fourth dimension. Dr. McMullen has coauthored a half-dozen articles on current and future collider searches for large extra dimensions. In addition to writing and teaching, Dr. McMullen enjoys Scrabble, golf, and chess.

Last updated on: Last updated on: 01-09-2024