Elementary algebra formulas pdf
The presentation is simple, legible and easy to understand. For PDF users the clarity of mathematical symbols should be taken care of. I like the consistency of this book. Each chapter starts with learning objectives, there are boxes for cautions, video solutions are available , tips are given based on the topics required and the chapter ends with key takeaways.
For online access of the book: Modularity is a strong point of this book. The chapters are broken into easily accessible sections. For PDF version there is no content of table given. For online access: The book is organized in very clear order. A teacher has an option to choose good range of questions based on the difficulty level. There are lots of inconsistencies seen on the PDF version of the book. A teacher using this book should give clear guidance on using the online version and should make the students aware of the errors seen in the PDF version.
For a diverse classroom some of cultural related questions can help students get a better understanding. Overall this is a good book. The book is organized in a very neat manner with a lot examples and exercise questions. I would not hesitate using this book as my textbook for the class if relevant changes are made in the PDF version such as including the table of content and fixing the symbolic errors.
The book gives students a good insight about pre-Algebra concepts. I gave is a five because of the breaking down of the problems and the use of the colors to reach the visual learners. There is no glossary, but a table is given. Comprehensiveness rating: 5 see less. Looking at the examples, and exercises given to students for practice, the book is accurate.
I did not find any errors. I cannot say that the book is culturally sensitive. The book is not as diverse as our today classrooms. The longevity of the bool is good. The topics will be still good many years to come. It won't be a lot of changes. The use of certain symbols like the radical could more clear at times so student will not make mistakes reading them.
The book is split in good and easy to read parts. It makes is easy for teachers and students as well. The book is well organized. There is a linearity in the topics studied and I can see a logical follow up. The only minor point, is a small review before starting the new chapter so the students can rely on the previous chapters for better understanding.
There is inconsistencies on the PDF version of the book. The book is using different platform to display content like math symbols which are not clear on the PDF version of the book, It is always better to tell the audience which platform to use for better reading. I did not see or encounter any grammatical errors even though I did not read every sentence in the book. I did not see any relevance of cultural insensitivity, but looking at the diversity of our classrooms, the book should add some cultural items to help the minority students understand the topics using their cultural background.
The book has a lot of potential to it. There is a need for cultural sensitivity on the mathematical topics, and also raising the bar to help some advance students get a head, and get more challenged.
The book is very comprehensive. There is a table of contents but no glossary. The book does not have that much text, which is very good for fast learning and reading. Additionally the efficient use of text results in short worded problems.
The worded problems do not have a great deal of special names of people or places or events, thus they appear to be applicable to many groups and should be pertinent for many years. The book is very clear. Diagrams are simple. There is a lot of space. The explanations are very clear and the wording is very efficient. The book is very consistent. The outline of each chapter and topics are very consistent between chapters.
The book is very modular and each chapter is broken up into short manageable sections that are easily accessed by clicking in the table of contents. The organization, structure and flow are well designed. Objectives are first shown, some introductory text and then some great examples are finally presented. At the end of each section, there are many problems. The odd answers are also at the end of the sections and this allows students to quickly verify answers and not look in other books or all over the book for answers.
The simple explanations and efficient wording of worded problems appear to have the effect that there should not be any offensive problems for certain races, etc. I thought the book was one of the better introductory algebra books. The examples and methods are very clear and simple. I think the book is especially useful for ESL users. This book provides very clear and comprehensive coverage of the usual Elementary Algebra topics, as well as some Intermediate Algebra material. The book provides plenty of examples and very robust, well-constructed exercise sets.
The author has The author has gone the extra mile to include special notes, cautions, and even some alternate solutions to examples. There is no index or glossary, which is a significant problem.
While navigating the book to simply review it, I spent a lot of time searching scrolling for specific topics. One example of this is, when the AC method is discussed in section 6.
I expect that the lack of an index could deter students from using the book as a resource, and may inhibit learning the material. The embedded videos are a very useful feature. Students benefit greatly from easy access to videos that demonstrate and reinforce the material, and care has been taken to choose appropriate videos.
If I were using this text for my class, I would likely supplement with additional videos for my students. Overall, this is a good, comprehensive book for Elementary Algebra. In reviewing the book, I saw very few content errors. Care has been taken to use proper vocabulary, to show appropriate mathematical processes, and to address common student errors. If, by chance, groundbreaking algebraic methods or strategies come into fashion, this book could be easily edited to incorporate them.
Examples and exercises are fairly factual and generic. By avoiding "real world" contexts and references, they are somewhat insulated from becoming outdated. The downside to this approach is that problem introductions are a bit dry and potentially hard for students to relate to.
In section 1. If those graphics or others make the book feel outdated at some point, it could be easily updated with newer data from the cited source. The clarity of this book seems in line with most other mainstream elementary algebra books. The very nice use of color and graphics is effective and helps with readability. Additionally, while searching for particular videos, I found it difficult to scroll through quickly and find the video links.
I would like to see video links offset by a color or special graphic for clarity and ease of use. There is a very nice, consistent structure throughout the book. For example, blue boxes make finding exercise sets fast and easy. Depending on how the book is being accessed, there can be significant variation in how notation is used, even from one exercise to the next.
I experienced inconsistencies between browsers, and between the pdf versus online version. One example is exponents. Another example is the placement of the radical symbol. Sometimes it was written correctly, and other times the radical symbol was typed after the radicand.
The inconsistency and inaccuracy are very problematic, and would certainly need to be addressed before I would feel comfortable using this book. The consistent structure used within each section would earn a rating of "5" from me. But the other major inconsistencies mentioned lower my ranking. Chapters and sections are numbered, but then those numbers aren't referenced in the online version's table of contents.
And, even though each section begins with a chapter and section number, the pdf version does not provide a table of contents, at all. The advantages of having each chapter and section numbered would include the ability to explicitly list the content, by number, in a table of contents. I am confused as to why this wasn't done, but suppose it wouldn't be a big job to edit that information in, if desired. The disadvantages of having each section numbered is that it complicates re-ordering content.
This would make re-ordering or omitting sections a bit more complicated, and would likely necessitate significant editing. One nice feature is the sub-sections objectives of each section.
There is some material introduced earlier than usual square roots, for example , but that approach improves the modularity of the material. Overall, the organization of material makes sense. This is the area in which the book stumbles, somewhat. Depending on which browser or format I used, the notation and fonts were pretty wildly inconsistent and sometimes totally meaningless.
I was using a Mac, and viewed the book using both Chrome and Safari. I also downloaded the pdf to view on my laptop.
In Chrome, the exercise sets at the end of each section were virtually empty of content. In Safari, I was able to view the problem sets. In Chrome, many of the mathematical expressions and equations were simply missing from the body of the text. In Safari, they showed up okay. On Chrome, I had to right-click and view in a separate tab. In Safari, I never was able to figure out how to view the videos.
The font size varied dramatically, even within single problem sets. Further, fraction bars were often missing, making the content unreadable. If students encounter any or all of these issues, it could certainly be a significant barrier to their learning. There did not seem to be one application through which I could access the full, correct version of the book.
In general, I like this book. But I would need to figure out how to provide students with a reliably correct version of it before using it for a course. The book's English grammar is good and mostly at an appropriate reading level. The statement of the examples and exercises tends to be a bit dry, but the grammar appears to be correct. I would prefer to see more cultural variety represented in this simple way. And, Mark and Janet are traveling home for Thanksgiving.
While I didn't encounter anything that I consider "offensive", I think some opportunities were missed, and this book could have been made to feel more inclusive.
Overall, I like this book. I would absolutely consider using it in my courses, with some edits and notational corrections. The book covers almost every topic one might use in the course and many topics which are frequently covered in the next course.
Small lacking in comprehensiveness might be a treatments of simple absolute value equations or inequalities. Another small lacking is the absence of a 'review' chapter or appendix which is typical for this level of a course. Although almost all of the content is accurate, I scored this category lower 3 of 5 due to numerous 'errors' in the text, which are frequently typesetting errors.
However, a typesetting error becomes a math error when it makes the math incorrect. For instance, in section 1. While accurate in Firefox, this answer doesn't display at all using Google Chrome an issue to be dealt with later in interface and the typesetting is reversed in the PDF version showing the square root after the 7.
This type of error provides in a sense inaccurate information to students and several errors of this type are common throughout the text. If these were resolved, I would raise my rating here to 4 or 5, depending on if any other errors were left at that point.
While the math content will never be obsolete as long as we require this style of algebraic learning in school, the text itself is currently obsolete merely based on the fact that it does not meet accessibility guidelines of the Federal government.
As such, the way the laws are currently written, it is my understanding that using the text in a course, even as a resource, is not allowable by the Federal government unless equitable accessible materials are also provided.
Similarly for accuracy above , while much all of the content is clear, I scored this category lower 3 of 5 due to numerous typesetting errors which will cause students to not find the content clear. These same type of issues, as described above in the accuracy section, provide unclear information to students and several issues of this type are common throughout the text.
Additionally unclear are the lack of accessible content due to the missing alt tags on numerous images throughout the text, which frequently contain all the steps for solving a particular problem type.
As such, students using a screen reader will be unable to view any of these steps. If these types of issues were resolved, I would raise my rating here to 4 or 5, depending on other clarity issues that may still exist.
The book is mostly consistent throughout, however, there are some minor inconsistencies such as the use of variables. For instance, in many sections the book will use x, y, a, b all throughout, and then in the homework Greek letters like alpha and beta appear.
This is literally a new alphabet and should probably be discussed somewhere in the book at least the preface or an appendix since this is not a prerequisite for the book. The text is pretty easy to divide into smaller reading sections, and reorganization should be fairly easy for most teachers, but certain sections will be challenging to reorder due to some implicit self-references. The topics in the text are mostly presented in a logical and clear fashion. The discussion on absolute value seems disjointed between the first chapter and then 8 and 9, and it seems to overly assume that the student has studied and comprehended everything in 8 prior to studying 9 which is frequently not the case in basic algebra courses , specifically in reference to taking the square root of both sides of an equation and the result of an absolute value.
Additionally, while the subsections are numbered in the text, they are not listed in the table of contents and it is also difficult to determine which section you are in while in the midst of the text. The text has significant interface issues, including the following. First, the PDF version of the book does not display content correctly.
The PDF version of the book needs to be significantly revised or it should be removed from the site so that users can focus on the web-based version, which is more accurate.
However, in the web-based version, many problems still exist. For instance, some of the mathematical expressions are coded using MathML, which is not supported on numerous common web browsers including Google Chrome, Internet Explorer, and Microsoft Edge. With this in mind, at minimum the book should specify at least in the preface, which browser is recommended for best compatibility.
Further, many items throughout the book are images without an alt tag provided, making them completely unreadable to screen-readers and difficult to navigate for students using mobile devices. Additionally, there are "Video Solution" links provided which include embedded YouTube videos using a Flash-player embedding.
Using Flash Player is outdated, and results in videos not playing in mobile browsers or browsers where Flash Player is not installed or blocked, which includes an increasing number of browsers.
Modern embedded features should be used, which would include the use of HTML5 videos. Finally, the videos provided are not properly subtitled, again as required by Federal accessibility standards. Although I have not read every sentence in the book, all of the grammar I saw seems to be correct.
The text is not particularly insensitive to specific races or ethnicities that I am aware of, however, with a lack of emphasis placed on Federal accessibility standards, the text is not sensitive to students from different backgrounds who require implementation of the accessibility guidelines. This book has a lot of potential and I hope to see improvements in the future!
The book covers all usual topics in an elementary algebra text book, commencing with integers and continuing through linear expressions, linear equations and inequalities, systems of linear equations, and other topics. The book concludes with a The book concludes with a nice treatment of the solution of quadratic equations with the quadratic formula and introduces complex numbers. The treatment of factoring using guess and check and the ac-method, factoring by grouping, and special products is thorough and well presented.
Any student who was taught from this book and covered all chapters would have a good grounding in the subject matter. There is no glossary, index or table of contents, which does detract from an otherwise comprehensive book. I found no biases in the book. I found one misspelling but the book is well written and edited and substantially error-free.
I found the presentation of the material to be objective and clear. The subject of algebra is timeless, so there should be no short-term problem with relevance or longevity. There a numerous graphs which present current statistics and trends, but it would not be difficult to update these as the years go by.
For example, the number of Americans over 65 or a period of recent years is presented. This could be made more current easily. Regular later editions of this book could be published to update the material in the years to come. The language is simple straightforward and presented clearly. The terms are well defined. The presentation is not highly rigorous. There are almost no proofs or demonstrations of the truth of what is being presented, but this is not a higher level book so that does not really detract from the overall presentation.
Terms are presented consistently and clearly. A glossary would be helpful to absolutely be able to check how the author defines and views the terms that he uses. Sections and subsections of the book are presented in bite-sized chunks that would not overwhelm a student who has math anxiety or little previous experience with math. You should also check the more Maths formulas which are the help to learn more.
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