Our Books
| Mathematics for Little Ones |
The first book in the series, "Mathematics for Little Ones" is written for a very young child who has just learned to count. It covers basic arithmetic, starting with counting up to 20 and to 100, going on to simple calculations with one-digit numbers, and progressing to addition, subtraction, multiplication, and division of whole numbers of any size. The multiplication table is covered, and the student is encouraged to memorize it. Every topic is accompanied by word problems; learning what the arithmetical operations mean, and where to apply them, is as important as learning how to perform them. |
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Fractions and More | The second book in the series, "Fractions and More", takes up where the first book left off. The book begins with multiplication and division of large numbers, and then goes on to basic number theory: factors, multiples, divisibility, prime numbers, prime factorization, and greatest common factor and least common multiple. Only after covering these concepts in detail does the book proceed to fractions. All four arithmetical operations with fractions are discussed and explained in detail. After fractions, the book covers decimals, then integers, and the last chapter contains mixed problems - fractions and decimals together in the same calculation. As in the first book, every topic is accompanied by numerous word problems to facilitate understanding. |
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Equations are Easy | The third book in the series, "Equations are Easy" covers basic equations and word problems involving equations. The idea of a variable is first introduced, and then the book proceeds to simple one-step equations. After a short excursion into integers, to ensure that the student hasn't forgotten them, the book goes on to equations involving integers. The equations increase in complexity until the student is solving multi-step equations using the distributive property, with the variable on both sides of the equation. Each type of equation is accompanied by word problems. The book also covers ratios, proportions, and percents, and word problems involving these concepts. Finally, the last chapter covers simple exponents and square roots. |
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Equations in Geometry |
The fourth book in the series, "Equations in Geometry", finishes off the pre-Algebra part of the curriculum and prepares the student for geometry as well. The book covers basic geometric concepts, such as lines, planes, points, angles, and rays; after those basics, it proceeds to problems involving the areas, volumes, and angles of plane figures, and shows how to use equations to solve such problems. The Pythagorean Theorem is introduced as well. The book also contains a chapter on probability and basic combinatorics, and a chapter on graphs and pie charts, to help the student prepare for standardized tests that cover these subjects. |
