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Math Review

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PRE-ALGEBRA

Numbers
Add Whole Numbers
Subtract Whole Numbers
Multiply Whole Numbers
Divide Whole Numbers


Multiples
Evaluate, Simplify, and Translate
Find Multiples and Factors
Prime Factorization
Least Common Multiple (LCM)


Integers
Introduction to Integers
Add Integers
Subtract Integers
Multiply and Divide Integers
Equations Using Integers
Division Property of Equality


Fractions
Visualize Fractions
Multiply and Divide Fractions
Complex Fractions
Fractions with Common Denominators
Fractions with Different Denominators
Mixed Numbers
Equations with Fractions


Decimals
Decimals
Decimal Operations
Decimals and Fractions
Equations with Decimals
Averages and Probability
Ratios and Rate
Simplifying Square Roots


Percents
Understand Percent
Word Problems with Percent
Sales Tax, Commission, and Discounts
Simple Interest
Proportions


Real Numbers
Irrational Numbers
Commutative and Associative Properties
Distributive Property
Properties of Identity, Inverses, and Zero
Systems of Measurement


Linear Equations
Subtraction and Addition Properties of Equality
Division and Multiplication Properties of Equality
Variables and Constants on Both Sides
Fraction or Decimal Coefficients


Math Modeling and Geometry
Problem 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


Polynomials
Add and Subtract Polynomials
Multiplication Properties of Exponents
Multiply Polynomials
Divide Monomials
Integer Exponents and Scientific Notation
Factoring Polynomials


Graphs
Rectangular Coordinate System
Graphing Linear Equations
Graphing with Intercepts
Understand Slope of a Line
Powers and Roots Tables
Geometric Formulas


ALGEBRA

Equations and Inequalities
Word 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 Expressions
Arithmetic Sequences
Rational Exponents
Scientific Notation
Radical Equations
Polynomials
Factoring
Rational Expressions


Functions
Analyze Functions
Domain and Range
Rates of Change and Graphing
Composition of Functions
Manipulating Functions
Absolute Value Functions
Inverse Functions


Linear Functions
Modeling with Linear Functions
Data Fitting Linear Models
Sine, Cosine, and Tangent


Polynomial and Rational Functions
Quadratic 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 Logarithms
Exponential Functions
Graphing Exponential Functions
Exponential Decay
Logarithms
Graphing of Logarithmic Functions
Logarithmic Properties
Exponential and Logarithmic Equations
Data Fitting Exponential Models


Equations and Inequalities
Linear 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 Geometry
The Ellipse
The Hyperbola
The Parabola
Rotation of Axis
Conic Sections
Polar Coordinates


Sequences
Arithmetic Sequences
Geometric Series
Series and Notation
Counting Theory
Modeling
Binomial Theorem


GEOMETRY

Lines and Angles
Points, 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 Proof
Inductive 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 Lines
Pairs 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 Triangles
Triangle 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 Triangles
Midsegment 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


Similarity
Ratios, Proportions
Geometric Mean
Geometry Problems
Similar Polygons
Prove Similarity by AA
Prove Similarity by SSS and SAS
Proportionality Theorems
Similarity Transformations


Right Triangles and Trigonometry
Pythagorean Theorem
Converse of the Theorem
Similar Right Triangles
Special Right Triangles
Tangent Ratio
Sine and Cosine Ratios
Solve Right Triangles


Polygons
Quadrilaterals
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 Transformations
Translate Figures and Vectors
Matrices
Translations
Rotations
Reflections
Reflections in the Plane
Double Reflections
Symmetry
Dilations


Properties of Circles
Circle Basics
Tangents
Tangent Segments
Arc Length
Chords
Inscribed Angles and Polygons
Angle Relationships
Segment Lengths
Graph Equations of Circles


Measuring Length and Area
Triangles 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 Volume
Simple 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


STATISTICS

Graphing Data
Stem-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 Data
Key Terms
Data Collection, Sampling
Variation in Data
Frequency Tables
Levels of Measurement
Experimental Design


Probability Topics
Terminology
Rules of Probability
Independence
Combinations
Mutually Exclusive Events
Contingency Tables
Tree and Venn Diagrams
Variables
Inferences


Discrete Random Variable
Probability 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 Variables
Probability Functions
Uniform Distribution
Exponential Distribution
Continuous Distribution


Normal Distribution
Standard Normal Distribution
Using the Normal Distribution
Normal Distribution (Lap Times)
Normal Distribution (Pinkie Length)


The Central Limit Theorem
Theorem for Sample Means (Averages)
Theorem for Sums
Central Limit Theorem (Pocket Change)
Central Limit Theorem (Cookie Recipes)


Confidence Intervals
Normal Distribution
Student Distribution
Population Proportion
Confidence Interval (Home Costs)
Confidence Interval (Place of Birth)
Confidence Interval (Women's Heights)


Testing with One Sample
Null 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 Samples
Population 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 Distribution
Chi-Square
Goodness-of-Fit Test
Test of Independence
Test for Homogeneity
Test of a Single Variance


Regression and Correlation
Linear Equations
Scatter Plots
Linear Regression
Correlation Coefficient
Prediction
Outliers
Regression (Distance from School)
Regression (Textbook Cost)
Regression (Fuel Efficiency)


Distributions
One-Way ANOVA
Distribution
F-Ratio
Test of Two Variances


Pre-Calculus

Trigonometry
Circles and Conics
Vectors
Matrix Algebra
Complex Numbers
Polar Coordinates
Probability and Combinations
Sequences and Proofs
Fraction Expansion


Multiply fractions
Area and perimeter
Equivalent fractions and comparing fractions
Division
Addition, subtraction, and estimation
Understand decimals
Factors, multiples and patterns
Add and subtract fractions
Measuring angles
Units of measurement
Multiply by 1-digit numbers
Place value
Multiply by 2-digit numbers
Plane figures
Addition and subtraction
Counting and place value
Measurement and geometry
Fractions, decimals, & percentages
Geometry
Negative numbers: addition and subtraction
Negative numbers: multiplication and division
Statistics and probability
Rates & proportional relationships
Expressions, equations, & inequalities
Arithmetic operations
Data and statistics"}],"title":"6th
Equations & inequalities introduction
Variables & expressions
Properties of numbers
Geometry
Negative numbers
Ratios, rates, & percentages
1-digit multiplication
Perimeter
Arithmetic patterns and problem solving
Equivalent fractions and comparing fractions
Addition, subtraction, and estimation
Understand fractions
Area
Measurement
More with multiplication and division
Intro to division
Intro to multiplication
Quadrilaterals
Represent and interpret data
Time
Addition and subtraction within 1000
Addition and subtraction within 100
Addition and subtraction within 20
Addition and subtraction intro
Counting
Geometry
Measurement and data
Place value (tens and hundreds)
Arithmetic properties
Decimals
Equations, expressions, and inequalities
Exponents, radicals, and scientific notation
Factors and multiples
Fractions
Reading and interpreting data
Measurement
Negative numbers and coordinate plane
Ratios, rates, proportions

Calculus

Taking Derivatives
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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