Art of Problem Solving Prealgebra Text

Art of Problem Solving Prealgebra Text

# 050262

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Item #: 050262
ISBN: 9781934124215
Grades: 6-10

Publisher Description:

Prealgebra prepares students for the rigors of algebra and also teaches students problem-solving techniques to prepare them for prestigious middle school math contests such as MATHCOUNTS, MOEMS, and the AMC 8. The text is written to challenge students at a much deeper level than a traditional middle school prealgebra course, and is used for both our Prealgebra 1 and Prealgebra 2 online courses.

Prealgebra prepares students for the rigors of algebra and also teaches students problem-solving techniques to prepare them for prestigious middle school math contests such as MATHCOUNTS, MOEMS, and the AMC 8.

Topics covered in the book include the properties of arithmetic, exponents, primes and divisors, fractions, equations and inequalities, decimals, ratios and proportions, unit conversions and rates, percents, square roots, basic geometry (angles, perimeter, area, triangles, and quadrilaterals), statistics, counting and probability, and more!

The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, giving the student a chance to solve them without help before proceeding. The text then includes solutions to these problems, through which algebraic techniques are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains well over 1000 problems. The solutions manual contains full solutions to all of the problems, not just answers.

This book can serve as a complete Prealgebra course.

Paperback. Text: 608 pages. Solutions: 224 pages.

This is an outstanding math program for the math-gifted student. It is rigorous and oriented to the independent problem-solver. The texts are based on the premise that students learn math best by solving problems - lots of problems - and preferably difficult problems that they don't already know how to solve. Most sections, therefore, begin by presenting problems and letting students intuit solutions BEFORE explaining ways to solve them. Even if they find ways to answer the problems, they should read the rest of the section to see if their answer is correct and if theirs is the best or most efficient way to solve that type of problem. Textual instruction, then, is given in the context of these problems, explaining how to best approach and solve them.

Throughout the text there are also special, blue-shaded boxes highlighting key concepts, important things to retain (like formulas), warnings for potential problem-solving pitfalls, side notes, and bogus solutions (these demonstrate misapplications). There are exercises at the end of most sections to see if the student can apply what's been learned. Review problems at the end of each chapter test understanding for that chapter. If a student has trouble with these, he should go back and re-read the chapter. Each chapter ends with a set of Challenge Problems that go beyond the learned material. Successful completion of these sets demonstrates a high degree of mastery.

A unique feature in this series is the hints section at the back of the book. These are intended to give a little help to selected problems, usually the very difficult ones (marked with stars). In this way, students can get a little push in the right direction, but still have to figure out the solution for themselves. The solution manuals do contain complete solutions and explanations to all the exercises, review problems and challenge problems. It is best for students not to access these until they have made several attempts to solve the problems first. I particularly like one of the motivating boxes in the text that coaches, "If at first you don't know how to solve a problem, don't just stare at it. Experiment!". That pretty much sums up the philosophy of the course, encouraging children to take chances, become aggressive problem solvers, and attack problems with confidence. I wonder how far some children would go if they were encouraged this way instead of being spoon fed?

Though this course is used in classroom settings, the texts are student-directed, making them perfect for the independent learner or homeschooler. Students should start the introductory sequence with the Prealgebra book. Afterwards, begin the Introduction to Algebra. Students will be prepared for both the Introduction to Counting and Probability and Introduction to Number Theory courses after completing the first 11 chapters of Algebra. It won't matter whether they do these along with Algebra, put aside Algebra and complete the other two or finish Algebra first and then do them. All of them should be completed prior to the Introduction to Geometry book. If you are coming into this course from another curriculum, you will probably want to take a placement test to decide where to enter this program. Even if your student has finished Algebra 2 elsewhere, you will want to make sure that all of the material from this series has been covered before continuing on to the Intermediate series.

Taken together, these constitute a complete curriculum for outstanding math students in grades 6-10 and one that prepares them for competitions such as MATHCOUNTS and the American Mathematics Competitions. The material is challenging and in-depth; this is not a course for the mathematically faint of heart. If your child loves math, is genuinely math-gifted, or is interested in participating in math competitions, you definitely need to give this one serious consideration.


Category Description for Art of Problem Solving:



Category Description for COMPREHENSIVE PROGRAMS - SECONDARY:



Primary Subject
Mathematics
Grade Start
6
Grade End
10
ISBN
9781934124215
Format
Hardcover
Brand Name
Art of Problem Solving
Weight
3.0625 (lbs.)
Dimensions
11.0" x 8.44" x 1.5"
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Why did you choose this?
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My son needs more challenge in math
Edelwina L on Mar 5, 2019
Want to have additional practice to my kids
Veera K on Jan 31, 2018
My son needs more challenge in math
Edelwina L on Mar 5, 2019
son liked beast academy, so continuing with same publisher
Carolyn M on Jul 29, 2018
Want to have additional practice to my kids
Veera K on Jan 31, 2018
Homeschool parents' recommendation ...facebook page Eclectic Homeschooling
Ewa L on Nov 20, 2017
son liked beast academy, so continuing with same publisher
Carolyn M on Jul 29, 2018
Homeschool parents' recommendation ...facebook page Eclectic Homeschooling
Ewa L on Nov 20, 2017
Are the answers to problems in the back of the book, or do we have to purchase the solutions manual?
Maya on Apr 30, 2020
BEST ANSWER: There is a section in the back of the book that provides hints for selected problems. However, to have a complete answer key you will need to have the Solutions Manual.
Would this be a good choice for a student completing Singapore 6B? Thanks!
Vanessa on Jan 18, 2020
BEST ANSWER: Yes, it will be a good choice assuming your student has done well with Singapore math. You can confirm it by having your student take the placement test. You can find the test at the end of the description at this link.

https://www.rainbowresource.com/product/050262/Art-of-Problem-Solving-Prealgebra-Text.html?

The Art of Problem Solving series is targeting gifted math students and the courses are challenging and inlcude a puzzle type of aspect that usually appeals to gifted students. Students who have done well with Singapore; covering the material at the recommended speed, will usually do well with the Art of Problem Solving courses.
Is this math common core aligned?
A shopper on Feb 1, 2019
BEST ANSWER: This math program, if you read the description on their website, is not for the faint of heart. If it wasn't common core aligned Nothing would be. This is the kind of math that kids who compete in competitions use. It's so in-depth and difficult that your child should have a very good grasp of math going in. My daughter was in tears the first few chapters, which were harder. Now she gets it and it's very good for her but it isn't easy. It doesn't do rote problems or repeat the same example over and over. Each problem tests their ability to understand different concepts. She said it gets much easier after the first quarter of the book. It still challenges her but now she likes it.
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Rated 5 out of 5
I found this math program last year for my 5th grade math whiz-kid (We don't know where that one child got it from!) After skipping two years of Saxon and still being bored I decided to look at something else for him and this fit the bill perfectly It was challenging and economical and the online support was amazing Using Art of Problem Solving's website we were able to access fabulous videos for each lesson My son loved the instructor because he was both clear and engaging Furthermore they have an online learning system--Alcumus--that is currently free We used this as a supplement to the book and although it does not cover all the material in the text it was a great help for the sections that overlap Finally the answer manual is very well done with detailed solutions explained thoroughly which was a good thing since I needed help remembering things I haven't learned in years Overall we were very very pleased with this text and the supporting website features We can't recommend it highly enough!
May 24, 2013


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