Praxis Math Core Academic Test: Practice & Study Guide
About the Course
Schools use the Praxis I Math Test, or Core Academic Skills for Educators: Mathematics, to determine an applicant's readiness for teacher education programs. States also use the test for teacher licensing. This test is offered only in a computerbased format and contains questions that cover four major categories: numbers and quantity, algebra and functions, geometry, and statistics and probability. It consists of a 85minute period which testtakers answer 56 questions, with an onscreen calculator available. The test uses several types of questions, including singleanswer multiplechoice, multipleanswer multiplechoice, and numeric entry questions.
Course Chapter  Objective 

Praxis I Math: The Real Number System  Review the different types of numbers, basic arithmetic, and learn how to work with fractions, factors and least common multiples. 
Praxis I Math: Square Roots and Exponents  Learn how to find, evaluate, and estimate square roots and exponents. 
Praxis I Math: Ratio and Proportions  Find out more about calculations with ratios and proportions by solving real world and mathematical problems. 
Praxis I Math: Algebraic Expressions  Discover how to read, use, and evaluate algebraic expressions, as well as perform basic functions with them. 
Praxis I Math: Equations and Inequalities  Get a grasp of variables, graphs, equations and inequalities in this chapter. 
Praxis I Math: Functions  Learn how to write, identify and use functions, as well as how to add, subtract, multiply and divide functions. 
Praxis I Math: Congruence and Similarity  Discover the properties of shapes, similar triangles, and how to shift graphs on a plane. 
Praxis I Math: Right Triangles and Trigonometry  Find out more about triangles, including properties of right triangles and how to find distance with the Pythagorean Theorem. 
Praxis I Math: Circles  Learn how to find the area and circumference of a circle, as well as how to graph circles by identifying the formula, center and radius. 
Praxis I Math: Geometric Measurement and Dimension  Get a good grasp on how to find the area of triangles and rectangles and learn how to calculate the volume of basic shapes. 
Praxis I Math: Modeling with Geometry  In this chapter, you'll find out how to apply geometric concepts in modeling situations. 
Praxis I Math: Basic Statistics and Probability  Discover statistical variability, distributions, sampling, and probability. You'll also learn about the probability of independent and dependent events. 
Praxis I Math: Categorical and Quantitative Data  Learn about what quantitative data is and how to summarize data using tables. 
Praxis I Math Test  Preparation and Registration
We host simple and engaging video lessons in each subject area of the test to help you prepare for the Praxis I Math Test. The chapter on equations and inequalities will help you understand parts of a graph, intercepts, standard form, graphing, and how to graph inequalities. Other chapters will introduce concepts like functions, congruence, similarity, square roots and exponents. Every lesson includes a quiz written by the instructor, offering you the chance to test your knowledge of the material.
You can register for the Praxis I Math Test online, but if you need extra time or other accommodations because of a disability or language barrier, you'll have to mail your registration form and identifying documentation. Since you'll be taking a computerbased test, you'll receive 30 minutes of practice time to get familiar with the software and hardware before you begin. The Praxis I Math Test is offered continually, but if you want to retest, you'll have to wait at least 3 weeks. A fee waiver is available for lowincome college students who are currently enrolled and are required to take the test. However, there's a limited number of waivers available, and students can only receive one waiver per year. Make sure to bring your test ticket and photo ID to the testing location on the day of the test.
Praxis I Math Test  Scoring
Because the test is only available on a computerbased platform, your scores will become available after 2 to 3 weeks from the testing date. It's possible to get scores earlier by using a scoresbyphone service for an additional fee. You can also send your scores to up to 3 institutions or licensing agencies for free, and you can order more score reports for an extra cost. You are only scored on correctly answered questions, and you aren't deducted points for wrong answers or unanswered questions. Passing scores depend on the institution requiring you to take the exam, but your report will show you the qualifying score for your state. You'll also be able to see the score range achieved by the 25th through the 75th percentile.
87% developed We are actively adding lessons to this course. You can study for exams and supplement your learning right now. For students preparing for an exam, we'll label this course 100% developed when it is ready to prepare you for the exam on its own.
Course Chapters
Praxis I Math: The Real Number System
All Videos in Praxis I Math: The Real Number System
 1. What are the Different Types of Numbers?
 2. Arithmetic with Whole Numbers
 3. Arithmetic Calculations with Signed Numbers
 4. How to Build and Reduce Fractions
 5. How to Find Least Common Denominators
 6. Comparing and Ordering Fractions
 7. Changing between Improper Fraction and Mixed Number Form
 8. How to Add and Subtract Like Fractions and Mixed Numbers
 9. How to Add and Subtract Unlike Fractions and Mixed Numbers
 10. Multiplying Fractions and Mixed Numbers
 11. Dividing Fractions and Mixed Numbers
 12. Practice with Fraction and Mixed Number Arithmetic
 13. How to Find the Greatest Common Factor
 14. How to Find the Least Common Multiple
Praxis I Math: Square Roots and Exponents
All Videos in Praxis I Math: Square Roots and Exponents
 1. Evaluating Square Roots of Perfect Squares
 2. Estimating Square Roots
 3. Simplifying Square Roots When not a Perfect Square
 4. Simplifying Expressions Containing Square Roots
 5. What Are the Five Main Exponent Properties?
 6. Rational Exponents
 7. Simplifying Expressions with Rational Exponents
 8. How to Simplify Expressions with Exponents
 9. How to Define a Zero and Negative Exponent
Praxis I Math: Ratio and Proportions
All Videos in Praxis I Math: Ratio and Proportions
Praxis I Math: Algebraic Expressions
All Videos in Praxis I Math: Algebraic Expressions
 1. What is the Correct Setup to Solve Math Problems?: Writing Arithmetic Expressions
 2. Distributing Algebraic Expressions with Numbers and Variables
 3. Translating Words to Algebraic Expressions
 4. Expressing Relationships as Algebraic Expressions
 5. Evaluating Simple Algebraic Expressions
 6. How to Add and Subtract Rational Expressions
 7. Practice Adding and Subtracting Rational Expressions
 8. How to Multiply and Divide Rational Expressions
 9. Multiplying and Dividing Rational Expressions: Practice Problems
 10. What Is The Order of Operations in Math?  Definition & Examples
 11. Equivalent Expressions and Fraction Notation
 12. Negative Signs and Simplifying Algebraic Expressions
 13. Practice Simplifying Algebraic Expressions
 14. Combining Like Terms in Algebraic Expressions
 15. The Distributive Property and Algebraic Expressions
 16. The Commutative and Associative Properties and Algebraic Expressions
Praxis I Math: Equations and Inequalities
All Videos in Praxis I Math: Equations and Inequalities
 1. What Are the Different Parts of a Graph?
 2. What is a Variable in Algebra?
 3. What is a Linear Equation?
 4. Linear Equations: Intercepts, Standard Form and Graphing
 5. Abstract Algebraic Examples and Going from a Graph to a Rule
 6. Graphing Undefined Slope, Zero Slope and More
 7. How to Write a Linear Equation
 8. What is a System of Equations?
 9. How Do I Use a System of Equations?
 10. Problem solving using Linear Equations
 11. Equation of a Line Using PointSlope Formula
 12. What is an Inequality?
 13. Graphing Inequalities: Practice Problems
 14. How to Graph 1 and 2Variable Inequalities
 15. Solving Equations on a Scientific Calculator
 16. How to Solve Equations by Graphing on a Scientific Calculator
 17. Solving Linear Inequalities: Practice Problems
Praxis I Math: Functions
All Videos in Praxis I Math: Functions
 1. Functions: Identification, Notation & Practice Problems
 2. What Is Domain and Range in a Function?
 3. How to Add, Subtract, Multiply and Divide Functions
 4. How to Compose Functions
 5. Applying Function Operations Practice Problems
 6. Manipulating Functions and Solving Equations for Different Variables
 7. Graphing Basic Functions
 8. How to Graph Piecewise Functions
Praxis I Math: Congruence and Similarity
All Videos in Praxis I Math: Congruence and Similarity
 1. Properties of Shapes: Rectangles, Squares and Rhombuses
 2. Properties of Shapes: Quadrilaterals, Parallelograms, Trapezoids, Polygons
 3. Properties of Congruent and Similar Shapes
 4. How to Identify Similar Triangles
 5. Applications of Similar Triangles
 6. Transformations: How to Shift Graphs on a Plane
 7. Applying Scale Factors to Perimeter, Area, and Volume of Similar Figures
Praxis I Math: Right Triangles and Trigonometry
All Videos in Praxis I Math: Right Triangles and Trigonometry
 1. Properties of Right Triangles: Theorems & Proofs
 2. The Pythagorean Theorem: Practice and Application
 3. Finding Distance with the Pythagorean Theorem
 4. List of the Basic Trig Identities
 5. Trigonometry: Sine and Cosine
 6. Trigonometry and the Pythagorean Theorem
 7. How to Solve Trigonometric Equations for X
Praxis I Math: Geometric Measurement and Dimension
All Videos in Praxis I Math: Geometric Measurement and Dimension
 1. Angles and Triangles: Practice Problems
 2. Area of Triangles and Rectangles
 3. Interior and Exterior Angles of Triangles: Definition & Examples
 4. Measuring the Area of Regular Polygons: Formula & Examples
 5. Measuring the Area of a Trapezoid
 6. Measuring the Area of a Parallelogram: Formula & Examples
 7. Measuring the Area of a Rectangle: Formula & Examples
 8. Measuring the Area of a Rhombus: Formula & Examples
 9. Combined Figures: Perimeter, Area, and Volume
 10. Area of Complex Figures
 11. How to Calculate the Volumes of Basic Shapes
 12. What Are Cylinders?  Definition, Area & Volume
 13. Spheres: Definition, Area & Volume
 14. Pyramids: Definition, Area & Volume
 15. Cones: Definition, Area & Volume
 16. Prisms: Definition, Area & Volume
 17. How to Find Surface Area of a Cube and a Rectangular Prism
 18. How to Find Surface Area of a Cylinder
 19. How to Find Surface Area of a Pyramid
Praxis I Math: Basic Statistics and Probability
All Videos in Praxis I Math: Basic Statistics and Probability
 1. Measures of Variability: Range, Variance & Standard Deviation
 2. Normal Distribution: Definition, Properties, Characteristics & Example
 3. Calculating the Standard Deviation
 4. What is Random Sampling?  Definition, Conditions & Measures
 5. Simple Random Samples: Definition & Examples
 6. Dice: Finding Expected Values of Games of Chance
 7. Blackjack: Finding Expected Values of Games of Chance with Cards
 8. How to Calculate the Probability of Permutations
 9. How to Calculate the Probability of Combinations
 10. How to Calculate a Permutation
 11. How to Calculate Simple Conditional Probabilities
 12. Probability of Independent and Dependent Events
 13. Probability of Independent Events: The 'At Least One' Rule
 14. Probability of Simple, Compound and Complementary Events
 15. Either/Or Probability: Overlapping and NonOverlapping Events
 16. What is Bivariate Data?  Definition & Examples
Praxis I Math: Categorical and Quantitative Data
All Videos in Praxis I Math: Categorical and Quantitative Data

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