READING Skill 1.2: Using figurative expressions...7. Skill 2.1: Identify explicit and implicit main ideas...9

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1 T a b l e o f C o n t e n t s D O M A I N I READING... 1 C O M P E T E N C Y 1 Determine the meaning of words and phrases... 3 Skill 1.1: Use the context of a passage to determine the meaning of words with multiple meanings, unfamiliar and uncommon words and phrases, and figurative expressions...3 Skill 1.2: Using figurative expressions...7 C O M P E T E N C Y 2 Understand the main idea and supporting details in written material... 9 Skill 2.1: Identify explicit and implicit main ideas...9 Skill 2.2: Recognize ideas that support, illustrate, or elaborate the main idea of a passage C O M P E T E N C Y 3 Identify a writer s purpose, point of view, and intended meaning...12 Skill 3.1: Recognize a writer s expressed or implied purpose for writing Skill 3.2: Evaluate the appropriateness of written material for a specific purpose or audience Skill 3.3: Recognize the likely effect on an audience of a writer s choice of words Skill 3.4: Use the content, word choice, and phrasing of a passage to determine a writer s opinion or point of view C O M P E T E N C Y 4 Analyze the relationship among ideas in written material...16 Skill 4.1: Identify sequence of events or steps Skill 4.2: Identify cause-effect relationships Skill 4.3: Analyze relationships between ideas in opposition Skill 4.4: Identify solutions to problems Skill 4.5: Draw conclusions inductively and deductively from information stated or implied in a passage iii

2 THEA C O M P E T E N C Y 5 Use critical reasoning skills to evaluate written material...22 Skill 5.1: Evaluate the stated or implied assumptions on which the validity of a writer s argument depends Skill 5.2: Judge the relevance or importance of facts, examples, or graphic data to a writer s argument Skill 5.3: Evaluate the logic of a writer s argument Skill 5.4: Evaluate the validity of analogies Skill 5.5: Distinguish between fact and opinion Skill 5.6: Assess the credibility or objectivity of a writer or source of written material C O M P E T E N C Y 6 Apply study skills to reading assignments...31 Skill 6.1: Organize and summarize information for study purposes Skill 6.2: Follow written instructions or directions Skill 6.3: Interpret information presented in charts, graphs, or tables D O M A I N I i MATHEMATICS...35 FUNDAMENTAL MATHEMATICS C O M P E T E N C Y 7 Solve word problems involving integers, fractions, decimals, and units. of measurement...39 Skill 7.1: Solve word problems involving integers, fractions, decimals (including percents), ratios, and proportions Skill 7.2: Understand units of measurement and conversions (including scientific notation) C O M P E T E N C Y 8 Solve problems involving data interpretation and analysis...57 Skill 8.1: Interpret information from line graphs, bar graphs, pictographs, pie charts, and tables Skill 8.2: Recognize appropriate graphic representations of various data Skill 8.3: Analyze and interpret data using measures of central tendency (mean, median, and mode) Skill 8.4: Analyze and interpret data using the concept of variability iv T H E A T e x a s H i g h e r E d u c a t i o n A s s e s s m e n t

3 ALGEBRA C O M P E T E N C Y 9 Graph numbers or number relationships...63 Skill 9.1: Identify the graph of a given equation or a given inequality, find the slope and/or intercepts of a given line, and find the equation of a line Skill 9.2: Recognize and interpret information from the graph of a function (including direct and inverse variation) C O M P E T E N C Y 1 0 Solve one- and two-variable equations...70 Skill 10.1: Find the value of the unknown in a given one-variable equation Skill 10.2: Express one variable in terms of a second variable in two-variable equations Skill 10.3: Solve systems of two equations in two variables (including graphical solutions) C O M P E T E N C Y 1 1 Solve word problems involving one and two variables...73 Skill 11.1: Identify the algebraic equivalent of a stated relationship and solve word problems involving one and two unknowns C O M P E T E N C Y 1 2 Understand operations with algebraic expressions and functional notation...77 Skill 12.1: Factoring quadratics Skill 12.2: Performing operations on and simplifying polynomial expressions Skill 12.3: Understand rational expressions and radical expressions Skill 12.4: Apply principles of functions and functional notation C O M P E T E N C Y 1 3 Solve problems involving quadratic equations...88 Skill 13.1: Graph quadratic functions and quadratic inequalities Skill 13.2: Solve quadratic equations using factoring, completing the square, or the quadratic formula Skill 13.3: Solve problems involving quadratic models GEOMETRY C O M P E T E N C Y 1 4 Solve problems involving geometric figures...98 Skill 14.1: Solve problems involving two-dimensional geometric figures (e.g., perimeter and area problems) Skill 14.2: Solve problems involving three-dimensional geometric figures (e.g., volume and surface area problems) Skill 14.3: Solve problems using the Pythagorean theorem v

4 THEA C O M P E T E N C Y 1 5 Solve problems involving geometric concepts Skill 15.1: Solve problems using principles of similarity, congruence, parallelism, and perpendicularity PROBLEM SOLVING C O M P E T E N C Y 1 6 Apply reasoning skills Skill 16.1: Draw conclusions using inductive and deductive reasoning C O M P E T E N C Y 1 7 Solve applied problems involving a combination of mathematical skills Skill 17.1: Apply combinations of mathematical skills to solve problems and to solve a series of related problems D O M A I N I I I WRITING ELEMENTS OF COMPOSITION C O M P E T E N C Y 1 8 Recognize purpose and audience Skill 18.1: Recognize writing that is appropriate for a given purpose Skill 18.2: Recognize writing that is appropriate for a given audience and occasion C O M P E T E N C Y 1 9 Recognize unity, focus, and development in writing Skill 19.1: Recognize unnecessary shifts in point of view or distracting details that impair the development of the main idea in a piece of writing Skill 19.2: Recognize revisions that improve the unity and focus of a piece of writing Skill 19.3: Recognize examples of well-developed writing C O M P E T E N C Y 2 0 Recognize effective organization in writing Skill 20.1: Recognize methods of paragraph organization and the appropriate use of transitional words or phrases to convey text structure Skill 20.2: Reorganize sentences to improve cohesion and the effective sequence of ideas vi T H E A T e x a s H i g h e r E d u c a t i o n A s s e s s m e n t

5 SENTENCE STRUCTURE, USAGE, AND MECHANICS C O M P E T E N C Y 2 1 Recognize effective sentences Skill 21.1: Recognize ineffective repetition and inefficiency in sentence construction Skill 21.2: Identify sentence fragments and run-on sentences Skill 21.3: Identify standard subject-verb agreement Skill 21.4: Identify standard placement of modifiers, parallel structure, and use of negatives in sentence formation Skill 21.5: Recognize imprecise and inappropriate word choice C O M P E T E N C Y 2 2 Recognize edited American English usage skill 22.1: Recognize the standard use of verb forms and pronouns Skill 22.2: Recognize the standard formation and use of adverbs, adjectives, comparatives, superlatives, and plural and possessive forms of nouns Skill 22.3:..Recognize standard punctuation S A M P L E T E S T Reading Answer Key Rigor Table Sample Test with Rationales MATH Answer Key Rigor Table Sample Test with Rationales writing Answer Key Rigor Table Sample Test with Rationales vii

Essentials of Mathematics Lesson Objectives

Essentials of Mathematics Lesson Unit 1: NUMBER SENSE Reviewing Rational Numbers Practice adding, subtracting, multiplying, and dividing whole numbers, fractions, and decimals. Practice evaluating exponents.