Perfect 800: SAT Math, Advanced Strategies for Top Performance, 4th Edition

Length: 396 pages
Edition: 4
Language: English
Publisher: Routledge
Publication Date: 2021-08-01
ISBN-10: 1646321049
ISBN-13: 9781646321049
Sales Rank: #7375948 (See Top 100 Books)

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 complete practice test, and 25 logic games.
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

Cover
Half Title
Title Page
Copyright Page
Contents
Acknowledgements
Foreword to the Fourth Edition
Introduction: Why Another SAT Book
This Book’s Approach
Part I: General Test-Taking Advice and Strategies
    Chapter 1: What Is Math and Why Do I Need to Study It?
        Why You Should Never Say “I Hate Math!”
    Chapter 2: Test Preparation Strategies and Advice
        How Too Much “Strategy” Can Be Hazardous to Your Performance
        An Approach to Test Preparation
        Do Calculators Really Help?
        Too Much Memorization?
        Ubiquitous Algebra
        Problem Solving and Data Analysis
        Fast Math
        Reading Comprehension
        PSAT Versus SAT
        SAT Versus ACT
        Final Tips for Better Learning
Part II: Specific Math Topics, Tips for Problem Solving, and Sample Problems
    Chapter 3: Arithmetic Concepts
        3.1: Integer
        3.2: Odd/Even Numbers
        3.3: Consecutive Integers
        3.4: Number Line
        3.5: Reciprocal (of a Number)
        3.6: Factors (of a Number)
        3.7: Common Factors
        3.8: Greatest Common Factor (GCF)
        3.9: Common Multiples (of Two or More Numbers)
        3.10: Least Common Multiple (LCM)
        3.11: Greatest Common Divisor (GCD)
        3.12: Prime Numbers
        3.13: Ratio
        3.14: Percent
        3.15: Proportion
        3.16: Directly Proportional Quantities
        3.17: Inversely Proportional Quantities
        3.18: Sequence
        3.19: Arithmetic Sequence
        3.20: Geometric Sequence
        3.21: Set
        3.22: Union
        3.23: Intersection
        3.24: Venn Diagram
        3.25: Factorials
        3.26: The Fundamental Counting Principle
        3.27: Permutation
        3.28: Combination
        3.29: Distinguishable Permutations
        3.30: Absolute Value
    Chapter 4: Algebra
        4.1: Monomial
        4.2: Coefficient
        4.3: Polynomial
        4.4: Term
        4.5: Like Terms
        4.6: Exponents
        4.7: Function
        4.8: Quadratic Function
        4.9: Domain
        4.10: Range
        4.11: Interpreting and Solving Equations/Inequalities
        4.12: Cartesian Coordinate System
        4.13: Straight Line
        4.14: Slope
        4.15: Distance
        4.16: Midpoint
        4.17: Graphical Representation of Inequalities
        4.18: Complex Numbers
    Chapter 5: Geometry
        5.1: Angles
        5.2: Vertex
        5.3: Acute Angles
        5.4: Obtuse Angles
        5.5: Vertical Angles
        5.6: Supplementary Angles
        5.7: Complementary Angles
        5.8: Straight Angles
        5.9: Right Angles
        5.10: Exterior Angles
        5.11: Polygon
        5.12: Diagonal
        5.13: Triangle
        5.14: Acute Triangle
        5.15: Obtuse Triangle
        5.16: Right Triangle
        5.17: Equilateral Triangle
        5.18: Isosceles Triangle
        5.19: Hypotenuse
        5.20: Congruent Triangles
        5.21: Similar Triangles
        5.22: Altitude
        5.23: Quadrilaterals
        5.24: Parallelograms
        5.25: Rectangles
        5.26: Squares
        5.27: Perimeter
        5.28: Regular Polygon
        5.29: Circle
        5.30: Diameter
        5.31: Radius
        5.32: Arc
        5.33: Tangent Line
        5.34: Tangent to a Circle
        5.35: Circumference
        5.36: Central Angle
        5.37: Area of a Sector and Arc Length
        5.38: Solid Geometry
    Chapter 6: Trigonometry
        6.1: Right Triangle
        6.2: Unit Circle
        6.3: Degrees to Radians Conversion
        6.4: Trigonometric Functions
        6.5: Miscellaneous Identities
        6.6: Pythagorean Identities
    Chapter 7: Miscellaneous Topics
        7.1: Average/Arithmetic Mean
        7.2: Median
        7.3: Mode
        7.4: Weighted Average
        7.5: Probability
        7.6: Probability and Compound Events
        7.7: Elements of Statistics
    Chapter 8: Problems by Degree of Difficulty and Type
        8.1: Easy Problems; Multiple Choice
        8.2: Easy Problems; Open-Ended
        8.3: Medium Problems; Multiple Choice
        8.4: Medium Problems; Open-Ended
        8.5: Hard Problems; Multiple Choice
        8.6: Hard Problems; Open-Ended
    Chapter 9: Solutions to Problems in Chapter 8
    Chapter 10: Additional Problems
    Chapter 11: Solutions to Problems in Chapter 10
    Chapter 12: Mind Games
    Chapter 13: Solutions to Mind Games
    Chapter 14: Test Yourself
        Sample Test 1
        Sample Test 1 Solution Key
Conclusion
Appendix A
Appendix B: Solutions to On Your Own Problems
References
About the Author
Common Core State Standards Alignment