Math
Number and Operations: arithmetic word problems (including percent, ratio, and proportion, properties of integers (even, odd, prime numbers, divisibility etc.), rational numbers, sets (union, intersection, elements), counting techniques, sequences and series (including exponential growth), elementary number theory.
Algebra and Functions: substitution and simplifying algebraic expressions, properties of exponents, algebraic word problems, solutions of linear equations and inequalities, systems of equations and inequalities, quadratic equations, rational and radical equations, equations of lines, absolute value, direct and inverse variation, concepts of algebraic functions and newly defined symbols based on commonly used operations.
Geometry and Measurement: area and perimeter of a polygon, area and circumference of a circle, volume of a box, cube, and cylinder, Pythagorean theorem and special properties of isosceles, equilateral, and right triangles, properties of parallel and perpendicular lines, coordinate geometry, geometric visualization, slope, similarity and transformations
Data Analysis, Statistics and Probability: data interpretation (tables and graphs), descriptive statistics (mean, median, and mode) and probability
Writing
Grammar: sequence of tenses, shift of pronoun, parallelism, noun agreement, pronoun reference, subject-verb agreement, coordination and subordination, logical comparison, modification and word order, ambiguous and vague pronouns, diction, wordiness, improper modification, pronoun case, idiom, comparison of modifiers, sentence fragment, comma splice.
Communicate ideas clearly and effectively, improve a piece of writing through revision and editing, recognize and identify sentence-level errors, understand grammatical elements and structures and how they relate to one another in a sentence, recognize correctly formed grammatical structures, clearly express ideas through sentence combining and use of transitional words and phrases, improve coherence of ideas within and among paragraphs
Improving Sentences: correct faults in usage and sentence structure, and recognize effective sentences that follow the conventions of English language.
Identifying Sentence Errors: recognize faults in usage, and recognize effective sentences that follow the conventions of English language.
Improving Paragraphs: revise sentences in the context of a paragraph or the entire essay, organize and develop paragraphs in a coherent and logical manner, and apply the conventions of written English.
Essay: support a point of view on a specific issue.
Reading
Passage-based Reading: comprehension of what is stated or implied by the passage.
Sentence Completion: vocabulary and understanding of sentence structure.