FTCE Elementary Education K-6 cheat sheet
FTCE Elementary Education K-6 · Keep the key ideas within reach.
Language Arts and Reading
The five essential components of reading instruction are phonemic awareness, phonics, fluency, vocabulary, and comprehension.
Phonemic awareness is oral manipulation of individual sounds; phonics connects printed letters (graphemes) to sounds (phonemes).
Fluency has three dimensions: accuracy, rate, and prosody (expression); fluent reading supports comprehension.
Orthographic mapping is the process of connecting spelling, pronunciation, and meaning to store words for automatic recognition.
Common syllable types: closed (short vowel), open (long vowel), vowel-consonant-e (long vowel), vowel team, r-controlled, and consonant-le.
Running-record accuracy = words correct / total words read; independent 95–100%, instructional 90–94%, frustration below 90% (typical benchmarks).
Expository text structures include description, sequence, compare-contrast, cause-effect, and problem-solution.
The writing process stages are prewriting, drafting, revising, editing, and publishing.
Figurative language examples: simile uses like/as; metaphor states a direct comparison; personification gives human traits to nonhuman things; hyperbole is exaggeration.
Social Science
Three branches: legislative makes laws, executive enforces laws, judicial interprets laws; separation of powers prevents concentration of authority.
Checks and balances examples: presidential veto, congressional override of a veto, judicial review of laws, Senate confirmation of appointments.
Federalism divides power: delegated (enumerated) powers belong to the national government, reserved powers to states, and concurrent powers are shared.
Bill of Rights = first ten amendments; the First Amendment protects religion, speech, press, assembly, and petition.
Civil War Amendments: 13th abolished slavery, 14th granted citizenship/equal protection, 15th protected voting rights regardless of race.
Latitude measures distance north or south of the equator; longitude measures east or west of the prime meridian; both are expressed in degrees.
Economic concepts: scarcity requires choices; opportunity cost is the value of the next best alternative given up.
Ancient river civilizations: Mesopotamia (Tigris–Euphrates), Egypt (Nile), India (Indus), China (Yellow/Huang He).
The Columbian Exchange transferred plants, animals, people, and diseases between the Americas and Europe after 1492.
Science
Scientific investigation sequence: question, hypothesis, controlled experiment, data collection, analysis, conclusion; independent variable is changed, dependent variable is measured.
Photosynthesis equation: 6CO2 + 6H2O + light energy → C6H12O6 + 6O2; occurs in chloroplasts using chlorophyll.
Cellular respiration converts glucose and oxygen into carbon dioxide, water, and ATP; it occurs mainly in mitochondria.
Water cycle processes: evaporation, condensation, precipitation, runoff, and transpiration.
Rock types: igneous forms from cooling magma/lava; sedimentary from compaction and cementation; metamorphic from heat and pressure.
Plate boundaries: divergent (move apart), convergent (collide), transform (slide past); earthquakes and volcanoes concentrate at boundaries.
Newton's laws: first = inertia; second = F = ma; third = every action has an equal and opposite reaction.
Heat transfers by conduction (direct contact), convection (fluid currents), and radiation (electromagnetic waves).
In food webs, producers make energy-rich compounds, consumers eat other organisms, and decomposers break down dead matter.
Mathematics
Order of operations: parentheses/brackets, exponents, multiplication and division left to right, then addition and subtraction left to right.
Properties: commutative (a+b=b+a; ab=ba), associative (grouping changes), distributive a(b+c)=ab+ac.
Fraction operations: add/subtract with common denominators; multiply numerators and denominators; divide by multiplying by the reciprocal.
Perimeter and area: rectangle P=2(l+w), A=lw; triangle A=½bh; circle C=2πr, A=πr².
Volume of a rectangular prism: V=lwh; volume is measured in cubic units.
Measures of center: mean = sum/number of values; median = middle ordered value; mode = most frequent value; range = maximum − minimum.
Percent means per hundred: percent = part/whole × 100; convert decimals to percents by multiplying by 100.
A unit rate compares a quantity to one unit, found by dividing; e.g., 60 miles in 2 hours = 30 miles per hour.
Angle types: acute <90°, right =90°, obtuse between 90° and 180°; a straight angle =180°.