Teachers! Prepare Your Students for the Mathematics for Sat 1 Methods and Problem-Solving St... Book

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