Mathematics Praxis

. The test is administrated by the nonprofit Educational Testing Service (ETS).

To help you prepare for the Praxis II math test, Education Portal has developed a series of online video lessons. In addition to teaching you about algebraic expressions, equations, formulas and fractions, these videos cover the following topics and more

:

• • Approximating and averaging

  • Congruence and similarity

  • Derivatives

  • Graphing

  • Matrices

  • Systems of equations

  • Trigonometric functions

  • Volume

The Praxis II Mathematics: Content Knowledge test measures your proficiency in several content areas, including algebra and number theory, measurement, geometry, trigonometry, functions, calculus, data analysis and statistics, probability, matrix algebra and discrete mathematics. Throughout the exam, you'll also be tested in various process categories, which will gauge your ability to solve mathematical problems, use different types of reasoning and make mathematical connections. The Praxis II also tests your understanding of how and when to use technology for problem solving and mathematical analysis.

Praxis II Mathematics: Content Knowledge Test Preparation & Registration

You can refresh your math skills ahead of the Praxis II by completing Education Portal's chapter on mathematics. Our brief video lessons are led by experienced professional educators, and the quizzes that accompany each lesson not only test your knowledge of math, they also expose you to the types of questions you'll encounter come test day.

The Praxis II Mathematics: Content Knowledge test is offered via computer several times a year; you can find specific dates on the ETS website. The test also can be taken four times per year in a paper-based format. Registration

 for both forms of the test is available online, by phone or via mail; registration for the paper-delivered test ends approximately one month before the test date.

The day of the test, be sure you arrive at the testing center on time (30 minutes prior to test time is recommended for those taking the computer-based test). You'll need to bring your admission ticket, a photo ID and, if you're taking the paper-based test, several sharpened No. 2 pencils. You also should bring a graphing calculator; please note that test administrators are required to clear the memory of your calculator before and after you take the Praxis II math test.

Praxis II Mathematics: Content Knowledge Test Scoring

Scores are available via phone and online approximately two to three weeks after the computer-based test or around three weeks after the paper-based test. Your scores also will be sent to as many as three licensing agencies or institutions, which you can choose during the registration

 process.

The minimum score needed to pass the Praxis II Mathematics: Content Knowledge test, and thus qualify for teacher certification, is set by each individual state that uses the exam. In addition to noting your total score, your score report will give you a breakdown of how well you performed in each of the content areas on the Praxis II, which include the following:

Algebra and Number Theory

One of the largest content areas on the Praxis II Mathematics: Content Knowledge test, algebra and number theory comprises approximately 16% of all questions. This section might test your knowledge of complex numbers systems or your ability to solve problems that involve ratios or percentages. You also might be asked to graph inequalities or use algebraic representations of spheres or planes.

Measurement

In the section on measurement, you'll be asked about appropriate units of measure, and you might have to analyze precision and accuracy in measuring situations. Other topics covered in this content category, which makes up around 6% of the test, include limits in measurement and successive approximation.

Geometry

The geometry section of the Praxis II covers topics like congruence and similarity and the Pythagorean theorem. You'll need to know the properties of various shapes, including triangles, circles, parallelograms and trapezoids, and be able to solve problems based on these properties. This content category accounts for approximately 10% of the Praxis II math exam.

Trigonometry

This section features around 8% of the questions on the test and measures your knowledge of the six basic trigonometric functions. You might be asked about the laws of sines and cosines, and you're expected to know how to convert between rectangular and polar coordinate systems.

Functions

Another 16% of the Praxis II math test focuses on functions. For this section of the exam, you'll need to know about domain and range, asymptotes and discontinuities. You might be asked to determine the inverse of a function or interpret a 3-dimensional graph. You'll also need to understand the properties of various types of functions, including exponential, polynomial and rational.

Calculus

Questions on calculus comprise approximately 12% of this exam. In this section, you might be asked to determine limits of a function or approximate integrals and derivatives. Other topics that might be covered include the mean value theorem and the fundamental theorem of calculus.

Data Analysis and Statistics

This section of the test measures your proficiency at organizing, describing, comparing and analyzing data. You'll be expected to know what constitutes a well-designed study, as well as what are appropriate measures of central tendency. This category accounts for 10-12% of the questions on the Praxis II.

Probability

Approximately 4-6% of questions on the Praxis II cover probability. You might be required to demonstrate your understanding of sample space or determine the expected value of a random variable. Other topics covered in this section might include probability distribution, conditional probability and independent events.

Matrix Algebra

Questions on matrix algebra make up around 8-10% of the Praxis II math test. For this exam section, you'll need to know about vectors and matrices, including how to add, subtract, multiply and divide them. Additionally, you might be asked to represent translations and dilations of objects in a plane using vectors and matrices, as well as sketches and coordinates.

Discrete Mathematics

The final section of the Praxis II focuses on discrete mathematics. This category makes up approximately 6-8% of the exam. Questions might center on permutations and combinations, discrete and continuous representations, or types of binary relations. You also might have to model simple phenomena, such as compound interest, using finite and infinite math.

Praxis II Mathematics Content Knowledge Exam Prep

The PRAXIS II Mathematics exam is administered by the Educational Testing Service at various dates throughout the year to American citizens who wish to prove their knowledge of Mathematical content. The PRAXIS series tests are normally administered to those who are seeking employment in American schools. Passing scores are set by the individual states, and applicants may take the exam depending on the dates given by their closest testing center. This exam may be taken in paper or computerized form. Applicants may retake the paper test as many times as they choose, while on computer takers must wait 30 days before a retest.  

Test-takers have 2 hours to complete 50 multiple-choice questions, and they are allowed to use a graphing calculator during the exam. Questions cover the following areas:

Algebra and Number Theory

Measurement, Geometry, and Trigonometry

Functions and Calculus

Data Analysis and Statistics Probability

Matrix Algebra

Discrete Mathematics

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Praxis II Mathematics Content Knowledge Test Review