The Praxis exams assess the mathematical knowledge essential for aspiring educators, with content varying by test level. These tests emphasize problem-solving, conceptual understanding, and instructional applications aligned with national standards like the Common Core State Standards for Mathematics. Below, we break down the key Praxis math topics for the most common exams.
Praxis Core Academic Skills for Educators: Mathematics (5733)
This entry-level test focuses on foundational math concepts for all teachers. It covers three main areas:
- Number and Quantity: Operations with integers, fractions, decimals; ratios, proportions, and percents.
- Algebra and Functions: Linear equations, inequalities, graphing functions, and patterns.
- Geometry and Statistics: Basic shapes, perimeter/area/volume; data interpretation, probability, and descriptive statistics.
Expect 56 selected-response questions (multiple-choice, numeric entry) in 90 minutes, with an on-screen four-function calculator provided. About 25% involve real-world teaching scenarios.
Middle School Mathematics (5164)
Tailored for grades 4–9 teachers, this exam spans middle school mathematics curriculum:
- Numbers and Operations: Rational/irrational numbers, arithmetic properties.
- Algebra: Expressions, equations, systems of equations.
- Functions: Linear/quadratic/nonlinear models, transformations.
- Geometry and Measurement: Coordinate geometry, congruence/similarity, Pythagorean theorem.
- Statistics and Probability: Data analysis, distributions, experimental/theoretical probability.
It includes 66 questions (various formats) in 150 minutes, using an on-screen graphing calculator.
Mathematics: Content Knowledge (5165)
For secondary (grades 6–12) math teachers, this rigorous test mirrors high school secondary mathematics:
- Number & Quantity and Algebra (35%): Complex numbers, vectors, matrices, polynomial/rational functions.
- Functions and Calculus (25%): Limits, derivatives, integrals, trigonometric functions.
- Geometry (20%): Euclidean/non-Euclidean proofs, circles, 3D figures.
- Statistics & Probability (20%): Inferential stats, random variables, hypothesis testing.
Features 66 questions in 180 minutes, with ~25% in teaching contexts; graphing calculator allowed.
Preparation tip: Review the official ETS Study Companion for detailed Praxis mathematics test outlines and practice questions. Focus on applying math topics to classroom scenarios for success. Passing scores vary by state aim high!