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## PRE-ALGEBRANumbersAdd Whole Numbers Subtract Whole Numbers Multiply Whole Numbers Divide Whole Numbers MultiplesEvaluate, Simplify, and Translate Find Multiples and Factors Prime Factorization Least Common Multiple (LCM) IntegersIntroduction to Integers Add Integers Subtract Integers Multiply and Divide Integers Equations Using Integers Division Property of Equality FractionsVisualize Fractions Multiply and Divide Fractions Complex Fractions Fractions with Common Denominators Fractions with Different Denominators Mixed Numbers Equations with Fractions DecimalsDecimals Decimal Operations Decimals and Fractions Equations with Decimals Averages and Probability Ratios and Rate Simplifying Square Roots PercentsUnderstand Percent Word Problems with Percent Sales Tax, Commission, and Discounts Simple Interest Proportions Real NumbersIrrational Numbers Commutative and Associative Properties Distributive Property Properties of Identity, Inverses, and Zero Systems of Measurement Linear EquationsSubtraction and Addition Properties of Equality Division and Multiplication Properties of Equality Variables and Constants on Both Sides Fraction or Decimal Coefficients Math Modeling and GeometryProblem Solving Money Applications Angles and Triangles The Pythagorean Theorem Rectangles, Triangles, and Trapezoids Circles and Irregular Figures Volume and Surface Area Formula for a Specific Variable PolynomialsAdd and Subtract Polynomials Multiplication Properties of Exponents Multiply Polynomials Divide Monomials Integer Exponents and Scientific Notation Factoring Polynomials GraphsRectangular Coordinate System Graphing Linear Equations Graphing with Intercepts Understand Slope of a Line Powers and Roots Tables Geometric Formulas |
## ALGEBRAEquations and InequalitiesWord Problems Rectangular Coordinate System Single Variable Equations Two Variable Equations Models and Applications Systems of Equations Complex Numbers Quadratic Equations Linear Inequalities Absolute Value Equations Rational ExpressionsArithmetic Sequences Rational Exponents Scientific Notation >Radical Equations Polynomials Factoring Rational Expressions FunctionsAnalyze Functions Domain and Range Rates of Change and Graphing Composition of Functions Manipulating Functions Absolute Value Functions Inverse Functions Linear FunctionsModeling with Linear Functions Data Fitting Linear Models Sine, Cosine, and Tangent Polynomial and Rational FunctionsQuadratic Functions Power Functions Graphing Polynomial Functions Manipulate Polynomials Polynomial Functions Zeros of Polynomial Functions Rational Functions Advanced Functions Inverses and Radical Functions Modeling Using Variation Exponents and LogarithmsExponential Functions Graphing Exponential Functions Exponential Decay Logarithms Graphing of Logarithmic Functions Logarithmic Properties Exponential and Logarithmic Equations Data Fitting Exponential Models Equations and InequalitiesLinear Equations Linear Equations with Two Variables Linear Equations with Three Variables Systems of Nonlinear Equations Single Variable Inequalities Two Variable Inequalities Partial Fractions Matrix Operations Gaussian Elimination Inverses Cramer's Rule Analytic GeometryThe Ellipse The Hyperbola The Parabola Rotation of Axis Conic Sections Polar Coordinates SequencesArithmetic Sequences Geometric Series Series and Notation Counting Theory Modeling Binomial Theorem |

## GEOMETRYLines and AnglesPoints, Lines, and Planes Coordinate Plane Euclidean Geometry Segments and Congruence Midpoint and Distance Formulas Measure and Classify Angles Constructions Bisect Segments and Angles Angle Pair Relationships Polygons Perimeter, Circumference Area Reasoning and ProofInductive Reasoning Conditional Statements Deductive Reasoning Logic Puzzles Postulates and Diagrams Properties from Algebra Number Tricks Segments and Angles Angle Pair Relationships Angles and Intersecting Lines Parallel and Perpendicular LinesPairs of Lines and Angles Draw and Interpret Lines Parallel Lines and Transversals Parallel Lines and Angles Prove Lines are Parallel Slopes of Lines Graph Equations of Lines Perpendicular Lines Congruent TrianglesTriangle Sum Properties Angle Sums Measuring Angles Prove Congruence by SSS Congruent Figures Prove Congruence by SAS and HL Triangles and Congruence Prove Congruence by ASA and AAS Congruent Triangles. Isosceles and Equilateral Triangles Congruence Transformations Slides and Flips Relationships within TrianglesMidsegment Theorem Coordinate Proof Segments in Triangles Perpendicular Bisectors Altitudes Angle Bisectors Medians Intersecting Medians Points of Concurrency Inequalities in a Triangle Inequalities in Two Triangles Indirect Proof SimilarityRatios, Proportions Geometric Mean Geometry Problems Similar Polygons Prove Similarity by AA Prove Similarity by SSS and SAS Proportionality Theorems Similarity Transformations Right Triangles and TrigonometryPythagorean Theorem Converse of the Theorem Similar Right Triangles Special Right Triangles Tangent Ratio Sine and Cosine Ratios Solve Right Triangles PolygonsQuadrilaterals Angle Measures in Polygons Angle Sums in Polygons Properties of Parallelograms Rhombuses, Rectangles, and Squares Trapezoids and Kites Midsegment of a Trapezoid Special Quadrilaterals Properties of TransformationsTranslate Figures and Vectors Matrices Translations Rotations Reflections Reflections in the Plane Double Reflections Symmetry Dilations Properties of CirclesCircle Basics Tangents Tangent Segments Arc Length Chords Inscribed Angles and Polygons Angle Relationships Segment Lengths Graph Equations of Circles Measuring Length and AreaTriangles and Parallelograms Trapezoids, Rhombuses, and Kites Trapezoids and Kites Similar Figures Circumference and Arc Length Area of a Circle Sectors Areas of Regular Polygons Geometric Probability Surface Area and VolumeSimple Solids Surface Area Area of Prisms and Cylinders Area of Pyramids and Cones Volume of Prisms and Cylinders Volume of Pyramids and Cones Minimize Surface Area Area and Volume of Spheres |
## STATISTICSGraphing DataStem-and-Leaf Graphs (Stemplots) Line Graphs, and Bar Graphs Histograms, Frequency Polygons, Time Series Graphs Location of the Data Box Plots Center of the Data Skewness Mean, Median, and Mode Spread of the Data Sampling and DataKey Terms Data Collection, Sampling Variation in Data Frequency Tables Levels of Measurement Experimental Design Probability TopicsTerminology Rules of Probability Independence Combinations Mutually Exclusive Events Contingency Tables Tree and Venn Diagrams Variables Inferences Discrete Random VariableProbability Distribution Function (PDF) Mean or Expected Value Standard Deviation Binomial Distribution Geometric Distribution Hypergeometric Distribution Poisson Distribution Discrete Distribution (Playing Card Experiment) Discrete Distribution (Lucky Dice Experiment) Continuous Random VariablesProbability Functions Uniform Distribution Exponential Distribution Continuous Distribution Normal DistributionStandard Normal Distribution Using the Normal Distribution Normal Distribution (Lap Times) Normal Distribution (Pinkie Length) The Central Limit TheoremTheorem for Sample Means (Averages) Theorem for Sums Central Limit Theorem (Pocket Change) Central Limit Theorem (Cookie Recipes) Confidence IntervalsNormal Distribution Student Distribution Population Proportion Confidence Interval (Home Costs) Confidence Interval (Place of Birth) Confidence Interval (Women's Heights) Testing with One SampleNull and Alternative Hypotheses Type I and Type II Errors Hypothesis Testing Rare Events, the Sample Decisions and Conclusions Full Hypothesis Test Examples Testing a Single Mean and Single Proportion Testing with Two SamplesPopulation Means with Unknown Deviations Population Means with Known Deviations Two Independent Population Proportions Matched or Paired Samples Testing Two Means and Two Proportions Chi-Square DistributionChi-Square Goodness-of-Fit Test Test of Independence Test for Homogeneity Test of a Single Variance Regression and CorrelationLinear Equations Scatter Plots Linear Regression Correlation Coefficient Prediction Outliers Regression (Distance from School) Regression (Textbook Cost) Regression (Fuel Efficiency) DistributionsOne-Way ANOVA Distribution F-Ratio Test of Two Variances |

Right Triangles

Missing Sides and Angles

Sine, Cosine, and Tangent

Graph Functions

Trigonometric Equations

Circles and Conics

Vectors

Matrix Algebra

Complex Numbers

Polar Coordinates

Probability and Combinations

Sequences and Proofs

Fraction Expansion

Secant Line Slopes

Derivatives

Function Derivatives

Derivative Properties

Derivative Applications

Linear Motion

Critical Points

Maxima and Minima

Concavity and Inflection

Limits

Estimating Limits

Finding Limits Algebraically

Continuity Limits

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