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E-grāmata: Perfect 800: SAT Math, Advanced Strategies for Top Performance

  • Formāts: 396 pages
  • Izdošanas datums: 07-Sep-2021
  • Izdevniecība: Prufrock Press
  • Valoda: eng
  • ISBN-13: 9781000495133
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Perfect 800: SAT Math, Advanced Strategies for Top PerformancePalielināt
  • Formāts: 396 pages
  • Izdošanas datums: 07-Sep-2021
  • Izdevniecība: Prufrock Press
  • Valoda: eng
  • ISBN-13: 9781000495133
Citas grāmatas par šo tēmu:

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Getting into the nation's most competitive universities requires more than a good SAT score—it requires a perfect score. Perfect 800: SAT Math:

  • Gives advanced students the tools needed to master the SAT math test.
  • Includes 250+ problems, one practice test, and 25 logic games.
  • Also includes an online test and in-depth analysis tool to improve future performance.
  • Covers arithmetic concepts, algebra, geometry, trigonometry, and more.
  • Emphasizes critical thinking and analytic skills over memorization and trial and error.

This updated 2021 edition offers exposure to a wide range of degrees of difficulty in a holistic approach that allows students to experience the "real thing," including the impact of time constraints on their performance. This book ensures optimal usage of time and maximizes the pace of progress as students prepare for the all-important test.



Getting into the nation's most competitive universities requires more than a good SAT score—it requires a perfect score. Perfect 800: SAT Math:

  • Gives advanced students the tools needed to master the SAT math test.
  • Includes 250+ problems, two practice tests, and 25 logic games.
  • Also includes an online test and in-depth analysis tool to improve future performance.
  • Covers arithmetic concepts, algebra, geometry, trigonometry, and more.
  • Emphasizes critical thinking and analytic skills over memorization and trial and error.

This updated 2021 edition offers exposure to a wide range of degrees of difficulty in a holistic approach that allows students to experience the "real thing," including the impact of time constraints on their performance. This book ensures optimal usage of time and maximizes the pace of progress as students prepare for the all-important test.

Grades 9-12



Perfect 800: SAT Math gives advanced students the tools needed to master the SAT math test.

Acknowledgements xi
Foreword to the Fourth Edition xiii
Introduction: Why Another SAT Book 1(2)
This Book's Approach 3(8)
PART I GENERAL TEST-TAKING ADVICE AND STRATEGIES
Chapter 1 What Is Math and Why Do I Need to Study It?
11(2)
Why You Should Never Say "I Hate Math!"
12(1)
Chapter 2 Test Preparation Strategies and Advice
13(30)
How Too Much "Strategy" Can Be Hazardous to Your Performance
13(4)
An Approach to Test Preparation
17(1)
Do Calculators Really Help?
18(3)
Too Much Memorization?
21(1)
Ubiquitous Algebra
22(2)
Problem Solving and Data Analysis
24(1)
Fast Math
25(7)
Reading Comprehension
32(1)
PSAT Versus SAT
32(2)
SAT Versus ACT
34(4)
Final Tips for Better Learning
38(5)
PART II SPECIFIC MATH TOPICS.TIPS FOR PROBLEM SOLVING, AND SAMPLE PROBLEMS
Chapter 3 Arithmetic Concepts
43(40)
3.1 Integer
43(1)
3.2 Odd/Even Numbers
44(1)
3.3 Consecutive Integers
44(1)
3.4 Number Line
45(3)
3.5 Reciprocal (of a Number)
48(1)
3.6 Factors (of a Number)
48(1)
3.7 Common Factors
49(1)
3.8 Greatest Common Factor (GCF)
49(1)
3.9 Common Multiples (of Two or More Numbers)
50(1)
3.10 Least Common Multiple (LCM)
51(1)
3.11 Greatest Common Divisor (GCD)
51(1)
3.12 Prime Numbers
52(2)
3.13 Ratio
54(1)
3.14 Percent
55(5)
3.15 Proportion
60(1)
3.16 Directly Proportional Quantities
60(1)
3.17 Inversely Proportional Quantities
61(1)
3.18 Sequence
62(1)
3.19 Arithmetic Sequence
63(3)
3.20 Geometric Sequence
66(2)
3.21 Set
68(1)
3.22 Union
69(1)
3.23 Intersection
69(1)
3.24 Venn Diagram
70(1)
3.25 Factorials
71(1)
3.26 The Fundamental Counting Principle
72(3)
3.27 Permutation
75(1)
3.28 Combination
76(2)
3.29 Distinguishable Permutations
78(1)
3.30 Absolute Value
79(4)
Chapter 4 Algebra
83(26)
4.1 Monomial
83(1)
4.2 Coefficient
84(1)
4.3 Polynomial
85(1)
4.4 Term
85(1)
4.5 Like Terms
86(1)
4.6 Exponents
87(1)
4.7 Function
88(3)
4.8 Quadratic Function
91(2)
4.9 Domain
93(2)
4.10 Range
95(1)
4.11 Interpreting and Solving Equations/Inequalities
96(1)
4.12 Cartesian Coordinate System
97(1)
4.13 Straight Line
98(1)
4.14 Slope
99(1)
4.15 Distance
100(1)
4.16 Midpoint
100(4)
4.17 Graphical Representation of Inequalities
104(1)
4.18 Complex Numbers
105(4)
Chapter 5 Geometry
109(46)
5.1 Angles
109(1)
5.2 Vertex
109(1)
5.3 Acute Angles
110(1)
5.4 Obtuse Angles
110(2)
5.5 Vertical Angles
112(1)
5.6 Supplementary Angles
112(2)
5.7 Complementary Angles
114(1)
5.8 Straight Angles
114(1)
5.9 Right Angles
115(1)
5.10 Exterior Angles
116(1)
5.11 Polygon
117(2)
5.12 Diagonal
119(1)
5.13 Triangle
120(1)
5.14 Acute Triangle
121(1)
5.15 Obtuse Triangle
121(1)
5.16 Right Triangle
121(1)
5.17 Equilateral Triangle
122(1)
5.18 Isosceles Triangle
122(5)
5.19 Hypotenuse
127(1)
5.20 Congruent Triangles
128(5)
5.21 Similar Triangles
133(2)
5.22 Altitude
135(2)
5.23 Quadrilaterals
137(2)
5.24 Parallelograms
139(1)
5.25 Rectangles
139(1)
5.26 Squares
140(2)
5.27 Perimeter
142(1)
5.28 Regular Polygon
142(1)
5.29 Circle
143(2)
5.30 Diameter
145(1)
5.31 Radius
146(1)
5.32 Arc
147(1)
5.33 Tangent Line
148(1)
5.34 Tangent to a Circle
148(2)
5.35 Circumference
150(1)
5.36 Central Angle
150(1)
5.37 Area of a Sector and Arc Length
151(3)
5.38 Solid Geometry
154(1)
Chapter 6 Trigonometry
155(6)
6.1 Right Triangle
155(1)
6.2 Unit Circle
156(1)
6.3 Degrees to Radians Conversion
156(1)
6.4 Trigonometric Functions
156(1)
6.5 Miscellaneous Identities
157(1)
6.6 Pythagorean Identities
157(4)
Chapter 7 Miscellaneous Topics
161(20)
7.1 Average/Arithmetic Mean
161(1)
7.2 Median
162(1)
7.3 Mode
163(2)
7.4 Weighted Average
165(1)
7.5 Probability
165(3)
7.6 Probability and Compound Events
168(5)
7.7 Elements of Statistics
173(8)
Chapter 8 Problems by Degree of Difficulty and Type
181(44)
8.1 Easy Problems; Multiple Choice
182(13)
8.2 Easy Problems; Open-Ended
195(4)
8.3 Medium Problems; Multiple Choice
199(12)
8.4 Medium Problems; Open-Ended
211(5)
8.5 Hard Problems; Multiple Choice
216(6)
8.6 Hard Problems; Open-Ended
222(3)
Chapter 9 Solutions to Problems in
Chapter 8
225(34)
Chapter 10 Additional Problems
259(10)
Chapter 11 Solutions to Problems in
Chapter 10
269(16)
Chapter 12 Mind Games
285(14)
Chapter 13 Solutions to Mind Games
299(18)
Chapter 14 Test Yourself
317(48)
Sample Test 1 (Online)
317(1)
Using the Online Test
317(6)
Sample Test 2 (In-Book)
323(21)
Sample Test 2 Solution Key
344(21)
Conclusion 365(2)
Appendix A 367(2)
Appendix B Solutions to On Your Own Problems 369(2)
References 371(2)
About the Author 373(2)
Common Core State Standards Alignment 375
Dan Celenti holds a Ph.D. in Applied Physics and has worked as a scientist, engineer, and educator (college professor and tutor). His wealth of experiencefrom conducting research in plasma physics and developing software for simulation of integrated circuits, to developing architectures for voice and data communication networks and doing research in artificial intelligence and machine learninghas enabled him to take a pragmatic and holistic approach to the study of math. Dan lives with his wife and their 21-year-old son in Holmdel, NJ. In his spare timewhen he doesn't "do math" (an activity he prefers to refer to as "playing mind games")he likes to play tennis, go skiing, play guitar, read, watch independent movies, spend time in Manhattan, hang out with his friends, and travel the world: a world in which he truly believes that "math is everything!"
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