(Ages 10 and up, 38 pages) The intrinsic value for math is “learning to think and self-govern using correct principles.”
This student workbook contains 33 principles of fractions, and students learn the basics of adding, subtracting, multiplying, and dividing fractions, as well as reducing. Vocabulary words students learn along with the principles include: proper and improper fractions, mixed numbers, multiples, common multiples, least common multiple, common factors, greatest common factor, common denominator, reciprocal, etc. The principles of exponents and order of operations are also included, as well as several reviews and answer keys throughout the book.
The method is different from other math books because students are expected to create and solve their own math problems. They can go as deep and difficult as they wish in order to challenge their understanding and knowledge of fractions.
EXAMPLE: Principle #1 states: “A Fraction is Part of a Whole.” Five examples of fractions are shown in circles – ½, 1/3, 2/4, ¼, and ¾. Students then have the opportunity to draw five shapes and divide them any way they choose, writing the fraction above their illustrations.