Full Description
Have you ever found yourself saying, "I'm never going to pass the math pre-service exam!" This statement, and many others like it, led the authors to discover exactly how to crack the math pre-service exam test code and students are reaping all the benefits. How to Pass the Pre-Service Mathematics Test for Teachers is the result of years of researching and experimenting with what it takes to not only pass the test, but come away from it a better test-taker and a stronger mathematician. The authors offer tons of crystal-clear examples with detailed explanations, all supported by deep mathematical thinking. As an added bonus, there are three comprehensive practice tests carefully created to reflect the format of the test. This book will provide all that is needed to pass the math pre-service exam!
Contents
Acknowledgments
Chapter 1: Introduction - How to Pass the Math PAPA
Preparing for the Test - Proven Strategies for Successful Test Preparation
Taking the Test - Proven Strategies for Successful Test-taking
Chapter 2: Understanding Numbers and the Number System
Number Systems: The Hierarchy of Numbers
Decimals
Scientific Notation
Percents
Simple Interest and Compound Interest
Exponential Notation
Chapter 3: Pre-Algebra
Analyzing and extending a variety of patterns
Solving One Variable Equations and Inequalities Algebraically
Using the concepts of variable, equality and equation to generate, interpret, and evaluate algebraic expressions
Manipulating algebraic expressions and solving equations using a variety of techniques
Simplifying or combining like terms
Basic distributive property
Factoring an expression
Applying algebraic principles to represent and solve word problems involving ratios and proportions
Chapter 4: Algebra
Graphing Lines and Inequalities
Graphing Parallel and Perpendicular Lines
Solving Systems of Linear Equations
Solving and Graphing Linear Inequalities and Systems of Linear Inequalities
Non-linear functions and real-world situations
Chapter 5: Measurement and Geometry
Measurement - The U.S. Customary System
Measurement - The Metric System
Perimeter, Area, Volume and Surface Area
Circles
Triangles
Quadrilaterals
Irregular Figures/Shaded Regions
Rectangular Prisms
Sphere
Angles and Lines
Coordinate Geometry
Transformations of Points and Geometric Figures
Chapter 6: Statistics and Probability
Measures of Central Tendency and Spread
Displaying Data and Statistical Information
Analyzing and Drawing Inferences from Data Presented in Different Formats
Probability - Simple, Compound, Independent, Dependent, Conditional
Counting Principles - Permutations and Combinations
APPENDIX
Full Practice Test 1 with Detailed Answers
Full Practice Test 2 with Detailed Answers
Full Practice Test 3 with Detailed Answers
Index