Praxis Middle School Math study guide
Praxis Middle School Math · Work through your exam, one topic at a time.
The Praxis Middle School Mathematics exam (test code 5169) is a subject-matter assessment that states and educator-preparation programs use as part of the licensure process for teachers of middle school mathematics. Candidates are usually preparing to teach mathematics in the middle grades, but the exact grade band, score requirement, and whether the test is required at all are set by the state or agency that asks for it - not by the exam itself. The Praxis Middle School Math study guide has 5 sections and about 1,424 words.
01Numbers and Operations
Candidates should move fluently among fractions, decimals, and percents; operate confidently with signed numbers and absolute value; apply exponent and root rules; use scientific notation; find factors, multiples, GCF, and LCM through prime factorization; and follow the order of operations exactly. Proportional reasoning-unit rates, ratios, scaling, and percent change-underlies many later items, so practice setting up a proportion before computing.
296 words, about 1 min02Algebra
Expect items on simplifying expressions, solving linear equations and inequalities, slope and intercepts, systems of equations, exponent rules, polynomial operations and factoring, quadratic equations, function notation, and pattern/sequence reasoning. You should be able to translate a verbal relationship into an equation, solve it, and interpret the solution in context.
285 words, about 1 min03Geometry and Measurement
Candidates need perimeter, area, volume, and surface area formulas for standard figures; angle relationships (vertical, complementary, supplementary, and parallel lines cut by a transversal); triangle angle sum and the triangle inequality; the Pythagorean theorem and its converse; similarity and congruence; circle circumference and area; coordinate geometry (distance, midpoint, slope); transformations; and unit conversion and scale drawings. Radius versus diameter: area uses r, so halve a given diameter before squaring.
283 words, about 1 min04Data, Statistics, and Probability
You should compute and interpret mean, median, mode, range, and interquartile range; read dot plots, histograms, box plots, and scatterplots; describe association and line of best fit; distinguish correlation from causation; evaluate sampling methods and sources of bias; and calculate probabilities for simple and compound events, including complements and draws with or without replacement. With an even number of data values, the median is the average of the two middle values.
268 words, about 1 min05Mathematical Processes and Applications
This domain tests how you use mathematics rather than which formula you recall. Expect multi-step word problems that require translating language into equations, selecting a representation (table, graph, equation, diagram), estimating to judge reasonableness, tracking units through calculations, justifying a conclusion, and interpreting an answer back in context.
292 words, about 1 min