The PRAXIS II Middle School Mathematics Exam (0069) is taken by candidates interested in teaching middle school mathematics. The test is comprised of 40 multiple choice and three brief response questions. 10 multiple choice questions cover discrete mathematics, statistical concepts, probability and data, 8 questions cover functions and their graphs, 10 questions cover measurement and geometry, and 12 questions cover basic algebra and mathematics. The multiple choice portion of the exam is worth 67% of the total grade and the brief response section is worth 33%. A graphing calculator may be used for this exam.
The Discrete Mathematics; Statistical Concepts; Probability and Data section of the exam covers dispersion; standard deviation; range and spread of data; mean, median, and mode; probability; geometric probability; finite sample spaces; data analysis; and drawing conclusions from data.
The Functions and their Graphs section of the exam covers algebraic expressions, equations, domain values, applying mathematical models in multiple situations, notations, functions, plane and function graphs, exponential and quadratic function, absolute value, and step and linear function.
The Measurement and Geometry section of the exam covers metric and English systems, polygons, points, lines, angles, rotations, reflections, sectors, circles, arcs, squares, rectangles, trapezoids, parallelograms, triangles, parameter, surface area, and volume of spheres, solids, cylinders, cones, prisms and combinations of forms, and the Pythagorean theorem.
The Basic Algebra and Mathematics section of the exam covers inequalities with fewer than two variables, nonlinear equations, absolute value, quadratic equations, line equations, formulas, polynomials, algebraic fractions, operations entailing negative exponents, fractionals, radicals, complex numbers, rational numbers, fundamental mathematical processes, numerical multiplicative and additive inverses, finite real numbers, real numbers classification, complex, rational and irrational numbers, decimals, powers, roots, proportion, and percentages.
The Problem Solving Exercises section of the exam covers problem-solving; reasoning and proof; representation; technology; mathematical applications in other environments; proof methods; mathematical conjectures, proofs and arguments; joining mathematical concepts; applying and analyzing social, physical, and mathematical data; and organizing, documenting and expressing mathematical concepts.