ILTS Mathematics (208) study guide
ILTS Mathematics (208) · Work through your exam, one topic at a time.
The ILTS Mathematics (208) test is the content-area licensure assessment used in Illinois for candidates seeking an endorsement to teach mathematics at the secondary level. It is intended for people who have completed (or are completing) an approved teacher-preparation program in mathematics education, or who are adding a mathematics endorsement through an approved pathway, and who need to demonstrate subject-matter competence before or while entering the classroom. The ILTS Mathematics (208) study guide has 5 sections and about 2,124 words.
01Number Systems and Operations
This domain tests the structure of the real number system, fluent computation with rational and irrational quantities, number-theoretic tools, exponent and radical laws, complex arithmetic, and proportional reasoning. Expect items that ask not only for an answer but for the property that justifies it.
476 words, about 2 min02Algebraic Reasoning and Functions
This domain tests rewriting expressions into useful equivalent forms, solving equations and inequalities with attention to domain, and reasoning about function behavior - notation, domain and range, transformations, inverses, growth, and sequences. Solving is disciplined rewriting.
453 words, about 2 min03Geometry and Measurement
This domain tests angle and triangle relationships, congruence and similarity, circle geometry, perimeter/area/volume, coordinate geometry, transformations, right-triangle trigonometry, and unit conversion by dimensional analysis. A triangle's angles sum to 180°; an n-gon's interior angles sum to (n − 2)·180°.
411 words, about 2 min04Statistics, Probability, and Data Analysis
This domain tests summarizing and interpreting data, the normal distribution, study design and association, and the rules of probability including conditional probability, independence, and counting. Mean, median, and mode locate center; range, interquartile range, and standard deviation describe spread.
406 words, about 2 min05Mathematical Reasoning, Modeling, and Connections
This domain tests logical argument and proof, the modeling cycle, choosing and interpreting functional models, rate and variation problems, and connecting ideas across the other four domains. Deductive reasoning moves from premises to a necessary conclusion; inductive reasoning generalizes from examples and never establishes a universal claim.
378 words, about 2 min