TExES Core Subjects EC-6 (391) study materials
TExES Core Subjects EC-6 (391) study resources

TExES Core Subjects EC-6 (391) cheat sheet

TExES Core Subjects EC-6 (391) · Keep the key ideas within reach.

Quick reference

English Language Arts and Reading

  • The five essential components of reading instruction are phonemic awareness, phonics, fluency, vocabulary, and comprehension.

  • Phonological awareness is the umbrella skill of hearing and manipulating sound units; phonemic awareness is the narrower ability to isolate and manipulate individual phonemes.

  • The alphabetic principle is the understanding that letters and letter patterns map systematically onto spoken sounds.

  • Fluency comprises accuracy, automatic word recognition, and prosody; it is typically benchmarked as words correct per minute on a grade-level passage.

  • The Simple View of Reading: reading comprehension = decoding ability x linguistic comprehension, so weakness in either factor limits comprehension.

  • The four reciprocal stages of the writing process are planning/prewriting, drafting, revising, and editing; publishing follows editing.

  • Six Traits of Writing: ideas, organization, voice, word choice, sentence fluency, and conventions.

  • Criterion-referenced tests compare a student to a standard; norm-referenced tests compare a student to a norming sample.

  • Running records and miscue analysis classify oral reading errors as substitutions, omissions, insertions, and reversals to identify cue-system reliance (meaning, structure, visual).

Quick reference

Mathematics

  • Place value is positional: in 4,072 the 4 is worth 4,000 and the 7 is worth 70; each place to the left is ten times the value of the place to its right.

  • Commutative property: a + b = b + a and a x b = b x a. Associative property regroups: (a + b) + c = a + (b + c). Distributive property: a(b + c) = ab + ac.

  • Order of operations: evaluate grouping symbols, then exponents, then multiplication and division left to right, then addition and subtraction left to right.

  • A fraction a/b is a quantity formed by a parts of size 1/b; equivalent fractions are generated by multiplying numerator and denominator by the same nonzero number.

  • Area of a rectangle = length x width; area of a triangle = 1/2 x base x height; area of a circle = pi x r^2; circumference = 2 x pi x r.

  • Volume of a rectangular prism = length x width x height; volume of a cylinder = pi x r^2 x height.

  • Mean = sum of values divided by the number of values; median = middle value of an ordered set; mode = most frequent value; range = maximum minus minimum.

  • Customary conversions: 12 inches = 1 foot, 3 feet = 1 yard, 5,280 feet = 1 mile, 16 ounces = 1 pound, 8 fluid ounces = 1 cup, 4 quarts = 1 gallon.

  • Metric conversions shift by powers of ten: 1 kilometer = 1,000 meters, 1 meter = 100 centimeters, 1 kilogram = 1,000 grams, 1 liter = 1,000 milliliters.

Quick reference

Social Studies

  • The Declaration of Independence was adopted July 4, 1776; the U.S. Constitution was signed in 1787 and ratified in 1788, with the Bill of Rights added in 1791.

  • The three branches are legislative (Congress: House and Senate), executive (President), and judicial (Supreme Court); checks and balances let each branch limit the others.

  • Federalism divides power between the national government and the states; the Tenth Amendment reserves unspecified powers to the states or the people.

  • The Louisiana Purchase (1803) doubled U.S. territory; the Texas Revolution (1836) produced the Republic of Texas, annexed as a state in 1845.

  • The five themes of geography are location, place, human-environment interaction, movement, and region.

  • Latitude lines run east-west and measure distance north or south of the equator; longitude lines run north-south and measure distance east or west of the prime meridian.

  • Economic systems lie on a spectrum from traditional to command (government-directed) to market (price-directed), with mixed economies combining features.

  • Primary sources are firsthand records created at the time (letters, diaries, photographs); secondary sources interpret or summarize primary evidence.

Quick reference

Science

  • The scientific method cycle: ask a question, form a testable hypothesis, design a controlled investigation, collect and analyze data, draw conclusions, and communicate results.

  • In a controlled experiment the independent variable is manipulated, the dependent variable is measured, and all other factors are held constant as controls.

  • The water cycle steps are evaporation, transpiration, condensation, precipitation, and collection/runoff.

  • Photosynthesis uses carbon dioxide, water, and light energy to produce glucose and oxygen; cellular respiration releases energy from glucose and produces carbon dioxide and water.

  • Food chains transfer energy from producers to consumers to decomposers; only about 10 percent of energy passes to the next trophic level.

  • States of matter change by adding or removing heat: melting (solid to liquid), evaporation (liquid to gas), condensation (gas to liquid), freezing (liquid to solid).

  • Earth's layers from outside in are crust, mantle, outer core, and inner core; tectonic plate movement causes earthquakes, volcanoes, and mountain building.

  • The Sun's apparent east-to-west motion results from Earth's west-to-east rotation; one rotation equals about 24 hours and one revolution equals about 365.25 days.

Quick reference

Fine Arts

  • The elements of art are line, shape, form, color, value, texture, and space; the principles of design include balance, contrast, emphasis, movement, pattern, rhythm, and unity.

  • Primary colors in pigment are red, yellow, and blue; mixing two primaries yields a secondary color (orange, green, violet).

  • Warm colors (red, orange, yellow) appear to advance; cool colors (blue, green, violet) appear to recede.

  • Pitch is determined by frequency, dynamics by amplitude; a steady beat underlies rhythm, and meter groups beats into recurring patterns.

  • Instrument families are strings, woodwinds, brass, and percussion; the human voice is classified as soprano, alto, tenor, or bass.

  • In theater, the script, director, actors, designers, and audience combine; stage directions describe setting, movement, and delivery.

  • In dance, elements are body, action, space, time, and energy; locomotor movements travel (walk, run, jump) and non-locomotor movements stay in place (bend, twist).

  • Responding in the arts uses description, analysis, interpretation, and evaluation, in that order of increasing judgment.

Quick reference

Health and Physical Education

  • The five components of health-related fitness are cardiovascular endurance, muscular strength, muscular endurance, flexibility, and body composition.

  • The FITT principle prescribes exercise by Frequency, Intensity, Time, and Type.

  • Target heart rate range is commonly estimated as 60 to 80 percent of maximum heart rate, where maximum heart rate is roughly 220 minus age.

  • Skill-related fitness components are agility, balance, coordination, power, reaction time, and speed.

  • The five food groups are fruits, vegetables, grains, protein foods, and dairy; nutrient classes include carbohydrates, proteins, fats, vitamins, minerals, and water.

  • Ages 6 to 17 are recommended to get 60 minutes or more of moderate-to-vigorous physical activity daily, including muscle- and bone-strengthening activity.

  • Communicable diseases spread by pathogens through contact, airborne droplets, or vectors; handwashing is the single most effective routine prevention measure.

  • The stages of a skill-learning progression are readiness, exploration, discovery, and practice toward mastery, with feedback improving performance.