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Review
Reducing fractions
Math - Negative numbers
PEMDAS
The Inverse Property
The Inverse Property
Math 1
M1 Unit 1: Linear Models
Solving Equations
Scatter Plots and Trend Lines
Scatterplots
Using Graphs to Relate to Quantities
Patterns and Linear Functions
Formalizing Relations and Functions
Rate of Change and Slope
Slope Intercept Form
Vocabulary
Function
Rate of Change
Correlation Coefficient
Linear Regression
Residuals
Model
M1 Unit 2: Exponential Models
Exponential Functions
Comparing Linear Exponential Functions
Exponential Growth and Decay
Vocabulary
Average Rate of Change
Exponential Function
Percent Rate of Change
Recursive Formula
Explicit Formula
Arithmetic Sequence
Geometric Sequence
M1 Unit 3: Absolute Value and Piecewise Functions
Absolute Value Equations and Inequalities
Graphing Absolute Value Functions
Radical and Piecewise Functions
Vocabulary
Piece-wise Function
Absolute Value Functions
Fucntions
Step Function
Domain
Range
M1 Unit 4: Systems of Equations and Inequalities
Solving Systems of Equations Graphically
Solving Systems of Substitution
Solving Systems of Equations Using Eliminations
No solution
Infinitely Many Solutions
Applications of Linear Systems
Break-Even Point
Constraints and Viable Solutions
Wind/Current Problems
Linear Inequalities
Graphing Linear Inequalities
Systems of Linear Inequalities
Vocabulary
Variable
Equation
Inequality
System of Equations
System of Inequalities
Solution to a System of Equations
Solutions of a System of Linear Inequalities
M1 Unit 5: Transformations
Translations
Reflections
Rotations
Compositions of Isometries
Congruent Figures
Triangle Congruence SSS SAS
Triangle Congruence ASA and AAS
Using Corresponding Parts of Congruent Triangles
Congruence in Overlapping Triangles
Congruence Transformations
Midpoint and Distance in the Coordinate Plane
Vocabulary
Angle
Circle
Planar Parallel Lines
Planar Perpendicular Lines
Translation
Reflection
Rotation
Congruent
Theorem
M1 Unit 6: Constructions
Basic Constructions
Constructing Parallel and Perpendicular Lines
Vocabulary
Bisect
Compass
Construction
Equilateral figure
Inscribed Polygon
Regular Polygon
Line Segment
M1 Unit 7: Statistics
Frequency and Histograms
Measures of Central Tendency and Dispersion
Box-And-Whisker Plots
Two-Way Frequency Tables
Vocabulary
Association
Frequency
Outliers
Plots
Math 2
M2 Unit 1: Quadratic Functions
Parabolas
Quadratic Graphs
Maxima/ Minima
Vocabulary
Maxima
Minima
Parabola
Quadratic Function
M2 Unit 2: Quadratic Equations
Vocabulary
Zero Product Property
Root (of a function)
Symmetry
Solution(s)
Zero (of a function)
Factoring ax^2+bx+c
Completing the Square
The Quadratic Formula and the Discriminant
Solving Quadratic Equations
M2 Unit 3: Root Functions
Vocabulary
Exponent
Rational Number
Irrational Number
Extraneous Solution
Rational Exponents
Cube Roots
M2 Unit 4: 2-Dimensional Geometric Logic
Equality, Distributive, and Congruence Properties
Writing a Proof using Properties of Equality
Distribution and the Box Method
Congruence Proof
Vertical, Supplementary, and Complementary Angles
Proving Angles Congruent
Lines and Angles
Lines and Angles Practice
Properties of Parallel Lines
Proving Lines Parallel
Finding Angles Using Properties of Parallel Lines
Triangle Angles
Midsegments of Triangles
Perpendicular and Angle Bisectors
Perpendicular Bisector Theorem Examples
Angle Bisector Example
Bisectors in Triangles
Medians and Altitudes
Polygon Angle-Sum Theorem
Properties of Parallelograms
Parallelograms Example
Properties of Rhombuses, Rectangles, and Squares
Trapezoids and Kites
Trapezoid Practice
Kite Practice
Applying Coordinate Geometry
Coordinate Geometry Example
Angle Measures and Segment Lengths
Intersecting Inside Circle
Intersecting lines outside circle
Vocabulary
Angle
Circumscribed Circle
Circumscribed Polygon
Construction
Equidistant
Inscribed Angle
Inscribed Circle
Inscribed Polygon
Planar Parallel Lines
Congruent
Proportion
Theorem
M2 Unit 5: Similarity
Dilations
Finding the Scale Factor Example
Dilation: Origin example
Dilation: Center example
Ratios and Proportions
Proving Triangles Similar
The Pythagorean Theorem and its Converse
Pythagorean Examples
Angles of Elevation and Depression
Vocabulary
Congruent
Dilation
Proportional Relationship
Right Triangle
Similar Triangles
Rigid Motions
Similarity Transformations
Transformation
M2 Unit 6: Right Triangle Trigonometry
Vocabulary
Arc
Area
Circle
Radius
Ratio
Right Triangle
Trigonometric Ratio
Circles in the Coordinate Plane
Areas of Circles and Sectors
Special Right Triangles
Trigonometry
M2 Unit 7: Comparing Quadratic, Linear, and Exponential Functions
Vocabulary
Horizontal Asymptote
Average Rate of Change
Infinity
Solution (of a system)
System of Equations
Math 3
M3 Unit 1: 3D Geometry
Mathematical Patterns
Arithmetic Sequences
Perimeters and Areas of Similar Figures
Areas and Volumes of Similar Solids
Areas of Parallelograms and Triangles
Areas of Trapezoids, Rhombuses, and kites
Surface Areas and Volumes of Spheres
Volumes of Prisms and Cylinders
Volumes of Pyramids and Cones
Vocabulary
Area
Cavalieri's Principle
Circle
Circumference
Cross Section
Density
Pyramid
Sphere
Volume
M3 Unit 2: Logarithms
Exploring Exponential Models
Properties of Exponential Functions
Logarithmic Functions as Inverses
Exponential and Logarithmic Equations
Vocabulary
Function
Inverse
Inverse Function
Exponential Function
Exponential Growth or Decay
End Behavior of a function, f
Logarithm
M3 Unit 3 : Polynomials
Vocabulary
Geometric Series
Geometric Sequence
Polynomial Function
(Polynomial) Factor
Line of Symmetry (of a graph)
Zeros (or roots)
x-intercepts (of a graph)
Function Operations
Polynomials, Linear Fatcors, and Zeros
Dividing Polynomials
Theorems about Roots of Polynomial Equations
Transforming Polynomial Functions
Geometric Series
Adding,Subtracting, and Multiplying Polynomials
M3 Unit 4: Rational Functions
Adding and Subtracting Rational Expressions
Rational Functions and Their Graphs
Multiplying and Dividing Rational Expresions
Solving Rational Expressions
Vocabulary
Coefficient
Rate of Change
Rational Expression
Increasing (on an interval)
Decreasing (on an interval)
Periodicity
M3 Unit 5: Trigonometry
Vocabulary
Radian Measure
Unit Circle
Trigonometric Functions
Periodic Function
Radian Measure
Angles and the Unit Circle
The Sine Function
The Cosine Function
Translating Sine and Cosine Functions
Standard Deviation
M3 Unit 6: Data
Vocabulary
Cluster Random Sample
Controlled Experiment
Control Group
Convenience Sample
Empirical Rule
Inference
Margin of Error
Mean
Controlled,Randomized experiment
Normal Distribution
Observational Study
Parameter
Population Mean
Sample
Sample Mean
Simplified Random Sample
Stratified Random Sample
Simulation
Standard Deviation
Survey
Systematic Sample
Systematic Random Sample
Normal Distributions
Samples and Surveys
Margin of Error
Drawing Conclusions from Samples
M3 Unit 7: Probability
Vocabulary
Probability
Event
Compound Events
Uniform Probability Model
Sample Space
Unions
Intersections
Complements
Independent
Dependent
Experimental Probability
Theoretical Probability
Conditional Probability
Two-Way Frequency Table
Compound Probability
Compound Probability Formulas
Math Tutoring
<< Back to horizontal asymptotes
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Average Rate of Change
Definition:
The average rate of change of a function, f(x), over an interval [a, b]=
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