This is the workbook of Volume 11-B of the entire set of 12 volumes of word problems solving strategies. If you want to set a solid foundation in math, grasping the techniques on solving word problems is the key to it. This set of books teaches you the techniques and strategies you need to solve word problems. Sample question in this volume: Lily has 42 books. If Hanna has 1/6 more than Lily, how many books does Hanna have? Reasoning and solution: "Hanna has 1/6 more than Lily", the noun phrase after the word "than" is "Lily" so the number of books that Lily has is the amount in 1 or in 6/6 (or 1 whole). Then, Hanna's books are in what fractional part of 1 (or 1 whole)? Attention: 1/6 is not an amount or a quantity but a fractional part. "Hanna has 1/6 more than Lily", means the number of books that Hanna has is in a fractional part that is 1/6 more than the fractional part that Lily's books are in. We know that number of books that Lily has is in 1 so the fractional part that Hanna's books are in is 1/6 more than 1. "1/6 more than 1" = 1+1/6 =7/6 so the number of books that Hanna has is in 7/6. We multiply the fractional part, 7/6, with the amount in 1, the number of books that Lily has, to find the amount in the fractional part, the number of books that Hanna has: 42 x 7/6 =49 books Hanna has 49 books. The techniques and strategies on finding percent of increase and percent of decrease, on using fractional parts only to solve a word problem and on using formulas to find the circumference and area of a circle. The volume teaches more than what is mentioned. Detailed explanations of the reasoning and solving strategies for each and every problem are given in Volume 11-B Answer Key.
Bill S. Lee started to homeschool his daughter in 2001. When his daughter entered 2nd grade, he was looking for curriculums and books that taught word problems reasoning and solving strategies, but he did not find any. Having been educated in Asia, he has mastered the techniques of word problems solving. He understands that word problem solving is the key to math learning and to science subjects and that the foundation of word problem reasoning and solving needs to be built from elementary school. Therefore, he began to make his own curriculums for his daughter based on the learning style of American students. 11 years later, his daughter scored 100% on the math section of SAT and 100% on the SAT math subject test. Bill hopes that this set of books reaches to and benefits as many students as possible.
