Basic Concept List. Organize, Analyze & Graph Data. Rational, Irrational, Real Numbers. Squares & Square Roots
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1 Basic Concept List Elementary Math Add, Subtract, Multiply, Divide Numbers Basic Geometry Basic Collect, Analyze & Organize Data Coordinate Graphing Data & Graphs Expressions & Equations Factors & Multiples Fractions, Decimals, Percents Integers Measurements Odd/Even Numbers Order of Operations Patterns Place Values Prime/Composite Numbers Properties Ratios & proportions Symmetry Time Two- and Three-dimensional Shapes Midlevel Math Exponents Expressions & Equations Factors & Multiples Fractions, Decimals, Percents Geometry Inequalities Integers Measurement Order of Operations Organize, Analyze & Graph Data Patterns Polynomials Properties Rational, Irrational, Real Numbers Ratios & proportions Scientific Notation Slope Squares & Square Roots Symmetry Algebra Absolute Value Equations/Inequalities Basic Statistics Concepts Exponents & Exponential Expressions & Equations Factoring Inequalities Integers Polynomials Algebra II Conic Sections Equations and Inequalities Exponential & Logarithmic Geometric Sequences & Series Irrational & Complex Numbers Matrices Polynomial
2 Page2 Algebra (Cont) Proportions Quadratic Equations and Radical Expressions & Triangles Rational Expressions & Equations Real Numbers Scientific Notation Solving & Graphing Linear Equations Systems of Equations/Inequalities Geometry 3D Coordinates ( In Space) Area, Surface Area & Volume Classifying Triangles & Triangle Inequalities Graphing Linear Equations Loci and Transformations Parallels & Transversals Points, Lines, Angles & Planes Polygons Quadrilaterals Reasoning and Proofs Right Triangles Vectors Quadratic Radical Rational Algebra II (Cont) Systems of Equations & Inequalities Angles Arcs and Sectors Trigonometry Complex Number Conjugates Complex Numbers Conic Sections Determinants Exponential & Logarithmic Finite Sequences and Series (Arithmetic and Geometric) Graphing Trigonometric Infinite Sequences and Series Interpolation Inverse and Equations Linear Programming Motion Plotting Complex Numbers (Rectangular & Polar Axes) Polar Coordinates Polynomial Powers and Roots of Complex Numbers (and Combinatorics) Triangles Trigonometric Equations, & Identities Unit Circle Vectors
3 Page3 Calculus Applications of the Derivative Applications of the Integral Exponential & Logarithmic Indeterminate Forms, Improper Integrals Infinite Series, Taylor Series Limits Methods of Integration Polar Coordinates Rigorous Treatment of Limits The Definite Integral The Derivative Trigonometric & Hyperbolic Vectors, Analytic Geometry in 3-D Space Statistics Analysis of Variance (ANOVA) Binomial distribution Chi-square distribution Combinations & Permutations Correlations Degrees of Freedom Frequency distribution tables Hypergeometric distribution Inferential Statistics Mean, Median, Mode Normal distribution Null & Alternate hypotheses Power probability distribution P-Value Random Variables Regression Analysis Sampling Bias & Distribution Standard Deviation Statistical errors & residuals Statistical Graphs t-distribution Types of Sampling Variance
4 Page4 Elementary Science Animals Astronomy Atoms/Atomic structure Basic Tools Body Systems Cells Chemical vs. Physical Changes Classifying organisms Earth's Resources Ecosystems & Biomes Electricity Energy Evolution Food Chains & Webs Forces & Motion Fossils Genetics Heat & Light Insects Land & Soil Living vs. Non-Living Magnets Matter Metric conversions Natural Disasters Periodic Table of Elements Plants Rock Cycle Simple Machines Water Cycle Weather Biology Atoms Bacteria Biodiversity Cell Structure Cellular Respiration Classification DNA to protein Ecosystems & Biomes Energy Flow Evolution Fungi General Genetics Human Body Invertebrates Mendelian Genetics Mitosis/Meiosis Organic Molecules Pedigrees Photosynthesis Plants Protists Vertebrates Viruses
5 Page5 Earth Science Atmosphere Climate Earthquakes Earth's History Energy & Resources Erosion Fossil Record Geologic eras Mapping the Earth Matter Minerals Oceans Plate tectonics Rocks & Rock Formation Soil & Weathering Solar System Stars & Galaxies Sun-Moon-Earth System Volcanoes Water Cycle Weather Chemistry Acids, Bases and Buffers Atomic Structure, Models & Theories Biochemistry Chemical Equilibrium Chemical Reactions: Identifying and Balancing Colligative Properties Dimensional Analysis Electron Configuration Electronegativity & Polarity Chemistry (Cont.) Empirical & Molecular Formulas Enthalpy Entropy Forming Ionic & Covalent Bonds Free Energy & Work Gas Laws Gas Stoichiometry Lewis Structures Limiting Reactants Liquids and Solids Matter Measurements & Units Mixtures & Solutions Naming Ionic & Covalent Compounds Net Ionic Equations Organic Chemistry (Basic) Including: Nomenclature Drawing Compounds Properties of Basic Organic Compounds Basic Reactions (not mechanisms) Oxidation-Reduction Reactions Percent Yield Periodic Table & Trends Physical vs. Chemical Changes Radioactivity & Half-life Reaction Kinetics Solutions Stoichiometry Voltaic Cells & Electrochemistry
6 Page6 Physics Ampere's Law Bohr model Coulomb's Law Diffraction & interference Displacement, velocity, & acceleration Electric fields Electrical potential Electromagnetic induction Energy and its conservation Freefall Friction Heat engines Ideal gas law Laws of thermodynamics Lens equation Magnetic fields Momentum and its conservation Newton's Laws Ohm's Law Parallel and series circuits Photon energy Projectile motion P-V diagrams Reflection Refraction (Snell's Law) Simple harmonic motion Specific heat/calorimetry States of Matter Uniform circular motion Universal Gravitation Vectors Waves and resonance Work & Power Social Studies Economics Government & Civics Geography (US & World) Modern & Ancient History (US & World) World Cultures Historical Figures Humanities and/or Philosophy Native Americans Notable African Americans in history Religions of the World Society United States Presidents Wars World Leaders (current and past) Career Help Cover Letter Writing Interview Preparation Job Search Assistance Resume Review Resume Writing
7 Page7 English Analogies Antonyms, synonyms homophones & homonyms Diagramming Sentences Fiction Grammar Handwriting Literary Devices Narrative Non-Fiction Parts of Speech Phonics Poetry Prefix/Suffix & Root Words Punctuation Reading Comprehension Sentence Structure Spelling Word origins Essay Writing Basic Five Paragraph Essay Structure Biography/Autobiography Book Reports College Application Essays Compare/contrast essays Creative Writing Data Based Question Essay Response (DBQ's) Fact/Opinion Writing Grammar Literary Response Writing MLA/APA Citation Narrative & Expository Essays Persuasive Writing Poetry Writing Pre-writing Strategies Research Paper Writing Sensory Writing Sentence Types Speech Writing Thesis Statements Use of Graphic Organizers Writing For Standardized Tests
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