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.
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.
Richard Rusczyk, David Patrick, Ravi Boppana Paperback 608 pages. 224 pages. Text 9781934124215 Solutions 9781934124222
Richard Rusczyk is one of the co-authors of the Art of Problem Solving textbooks, and author of Art of Problem Solving's Introduction to Algebra and Introduction to Geometry textbooks (Intermediate Algebra due to be published in early 2008). He is also one of the co-creators of the Mandelbrot Competition, and the Director of the USA Mathematical Talent Search. He was a participant in National MATHCOUNTS, a participant in the Math Olympiad Summer Program 1987, 1988 and 1989, the only perfect scorer on the 1989 AIME, and a USA Mathematical Olympiad winner (1989). He graduated first in his major, top 5 in his class, with a BSE from Princeton University in 1993. Richard helped inaugurate ESPN's SportsFigures program, and worked as a bond trader for D.E. Shaw & Company for four years. AoPS marks Richard's return to his vocation - educating motivated students.