SAT Math Mania

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Overview

Kaplan SAT Math Mania takes an innovative approach to test-taking that makes math fun. Based on national math standards, the activities and questions are also filled with humorous pop culture references that will keep students entertained as they learn. This guide is perfect for students who learn their best in short concentrated practice sessions. A parent's dream Kaplan SAT Math Mania introduces and reinforces the most important SAT math concepts in short, easy-to-manage ...
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2000 Trade paperback New. New Soft Cover print: New List Trade paperback (US). Glued binding. 144 p. Contains: Illustrations. Kaplan SAT Math Mania. Audience: General/trade.

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Overview

Kaplan SAT Math Mania takes an innovative approach to test-taking that makes math fun. Based on national math standards, the activities and questions are also filled with humorous pop culture references that will keep students entertained as they learn. This guide is perfect for students who learn their best in short concentrated practice sessions. A parent's dream Kaplan SAT Math Mania introduces and reinforces the most important SAT math concepts in short, easy-to-manage activities.

This entertaining new study aid for the SAT and SAT IIs will complement Kaplan's classic SAT guide or provide an ideal alternative for students unable to work through a more comprehensive program.

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Product Details

  • ISBN-13: 9780684872766
  • Publisher: Kaplan Publishing
  • Publication date: 10/1/2000
  • Pages: 144
  • Product dimensions: 7.38 (w) x 9.30 (h) x 0.35 (d)

Read an Excerpt

Divisibility

8. Prime Factorization (and Playing Shortstop)

By the Book

A prime number is a positive integer that has exactly two different positive integer factors, 1 and the integer itself. According to this definition, 1 is not a prime number because it has only one factor, 1. The first eight prime numbers are 2, 3, 5, 7, 11, 13, 17, and 19.

To find the prime factorization of an integer, just keep breaking it up into factors until all the factors are prime.

To find the prime factorization of 36, for example, you could begin by breaking it into 4 x 9: 36 = 4 x 9 = 2 x 2 x 3 x 3.

Match Mania Explains

Derek Jeter pays shortstop for the New York Yankees baseball team. He's one of the best players at his position; he eats up ground balls, has good range to his left and right, and boy can he hit. He even steals a bunch of bases every year. A great baseball player all around.

As great as he is, though, Jeter does makes some errors. After all, no one's perfect.

9. Relative Primes (Still Playing Shortstop)

By the Book

Relative primes are integers that have no common factor other than 1.

To determine whether two integers are relative primes, break them both down to their prime factorizations.

For example: 35 = 5 x 7, and 54 = 2 x 3 x 3 x 3. They have no prime factors in common, so 35 and 54 are relative primes.

Math Mania Explains

Nomar Garciaparra is the shortstop for the Boston Red Sox. He has been playing baseball for about as long as Derek Jeter has. Some people say he's better than Jeter; others say he's not quite as good. Frankly, conversations about which baseball player is better are about as useless as a two-legged chair. But for learning relative primes, man, are they great.

10. and 11. Common and Least Common Multiple (with the L.A. Lakers)

By the Book

A common multiple is a number that is a multiple of two or more integers. You can always get a common multiple of two integers by multiplying them, but, unless the two numbers are relative primes, the product will not be the least common multiple (LCM).

For example, to find a common multiple for 12 and 15, you could just multiply: 12 x 15 = 180.

To find the least common multiple, check out the multiples of the larger integer until you find one that's also a multiple of the smaller. To find the LCM of 12 and 15, begin by taking the multiples of 15: 15 is not divisible by 12; 30 is not; nor is 45. But the next multiple of 15, 60, is divisible by 12, so it's the LCM.

Math Mania Explains

Let's switch from Major League Baseball to NBA basketball for a bit.

Kobe Bryant and Shaquille O'Neill are the heart and soul of the Los Angeles Lakers. Both of them usually make mincemeat of the opposing team — Shaquille on the inside, using his 300+ pounds to position himself for dunk after dunk, and Kobe on the outside, using his speed and jumping ability to, well, position himself for dunk after dunk.

Between them they usually score about 70 points a game and haul in about 20 rebounds. So, if Shaquille scores 40 points and Kobe scores 30 points, what's the least common multiple of those two numbers?

If you multiply 30 and 40 you get 1,200. A common multiple for sure, but not even close to the LCM. To get that, take 40. Forty is not divisible by 30; neither is 80, the next multiple of 40. But the next multiple of 40, 120, is divisible by 30. Thirty goes into 120 four times. And that's your LCM: 120.

12. Greatest Common Factor (and the N.Y. Knicks)

By the Book

To find the greatest common factor, break down both integers into their prime factorizations and multiply all the prime factors they have in common. 36 = 2 x 2 x 3 x 3, and 48 = 2 x 2 x 2 x 2 x 3. What they have in common is two 2s and 3, so the GCF is 2 x 2 x 3 = 12.

Math Mania Explains

GCF is a lot like LCM. Maybe that's why they're both abbreviated by their initials. Maybe not. Who knows?

Anyway, in keeping with their similarity, let's take two players from another NBA basketball team — the New York Knicks.

Allan Houston and Latrell Sprewell are shooting guards for the Knicks; that means these cats can score at will. Sprewell slashes to the basket for power jams. Houston, on the other hand, has the smoothest jump shot in the game and can hit a 3-pointer from practically anywhere on the court.

The Knicks signed Sprewell in 1998 after he served a one-year suspension for choking his coach, P. J. Carlesimo. When the Knicks got him, their fans were afraid they had a malcontent on their hands. But Sprewell's inspired team play and his affability off the court won the fans over in no time.

Houston was always as mild-mannered as you get. A coach's son, he was an even-tempered presence on a team full of hotheads. At first, fans didn't know if the two stars would be able to coexist on one team. But in 1999, the two gelled, and they took their team to the NBA finals for the first time in years.

Copyright © 2000 by Kaplan Educational Centers

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Sort by: Showing 1 Customer Reviews
  • Anonymous

    Posted May 23, 2001

    Disappointment !!!!

    Upon purchasing SAT Math Mania, I anticipated that it was going to be a book that would help to strengthen my weak math skills by introducing a novel approach to handling SAT math. To my dismay, it was comparable to an eighth grade mathematics final. Maybe it was because I was already familiar with the SATs, but I found SAT Math Mania absolutely no help at all.

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