Teachers! Prepare Your Students for the Mathematics for Sat 1

by Posamentier, Alfred S.; Krulik, Stephen

• ISBN13: 9780803964815
• ISBN10: 0803964811
• Format: Hardcover
• Copyright: 1996-04-18
• Publisher: Corwin Pr

Summary

If you're a teacher or administrator who wants to give your students the best chances possible on the Math SAT, or if you're a parent of a student facing the test, here is the advantage you're looking for. Designed as a companion book to Students! Get Ready for the Mathematics for SAT I, this workbook is crammed with strategies and ideas. Show your students techniques that can make a big difference in their college chances--teach them techniques that will really boost their Math SAT I scores. This information-packed teacher's volume gives you: * An overview of the SAT I, including a description of its format, content, and the use of a calculator on the test * A selective review of the mathematics taught through elementary algebra and geometry, with particular attention to problem solving. * Less-well-known mathematics "facts" and problem-solving tools * Ways to advise students on strategies for taking the SAT I, including when and how to guess on unfamiliar items * A detailed presentation of specific problem-solving strategies Follow the step-by-step plan in this book, and you will help to signicantly increase your students' scores. Hand your students these tools and they'll be prepared to face the SAT I.

Table of Contents

Preface
About the Authors
Introduction	p. 1
About the SAT I	p. 4
Format of the SAT I	p. 4
The Mathematics Section of the SAT I	p. 5
Calculator Use on the SAT I - Reasoning Test	p. 6
Student-Produced Response Questions	p. 7
Advising Students on Test Taking	p. 8
Preparation	p. 8
Test-Taking Procedures	p. 8
To Guess or Not to Guess	p. 9
Nonroutine Mathematics Topics to Strengthen Students' Problem-Solving Abilities	p. 11
Using Proportional Relationships to Solve Problems	p. 12
Simplifying the Procedure to Solve an Equation	p. 13
Comparing Areas of Similar Figures	p. 13
Work Problems	p. 14
Averaging Rates	p. 15
Finding Areas of "Nameless" Geometric Figures	p. 17
Likelihood Problems	p. 18
Successive Discounts	p. 19
Clock Problems	p. 20
Sequence Problems	p. 22
Counting Problems	p. 24
Comparing Fractions	p. 25
Specific Problem-Solving Strategies	p. 27
Strategy 1: Working Backwards	p. 27
Strategy 2: Finding a Pattern	p. 30
Strategy 3: Adopting a Different Point of View	p. 38
Strategy 4: Solve a Simpler, Analogous Problem	p. 48
Strategy 5: Using Extreme Cases	p. 54
Strategy 6: Visual Representation	p. 57
Strategy 7: Intelligent Guessing and Testing	p. 61
Strategy 8: Accounting for All Possibilities	p. 67
Strategy 9: Organizing Data	p. 72
Strategy 10: Deductive Reasoning	p. 78
Appendix: Review of Mathematical Principles	p. 85
Rules for Divisibility	p. 85
Order of Operations	p. 87
A Brief Review of Fractions, Decimal Fractions, and Percents	p. 88
Percentage Problems	p. 92
A Brief Review of Some Essentials of Algebra	p. 93
A Brief Review of Some Essentials of Probability	p. 107
A Brief Review of Some Essentials of Geometry	p. 109
Table of Contents provided by Blackwell. All Rights Reserved.