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Math with Melissa
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Scientific Calculator Gadget
Multiplication Facts and Resources
Computer Games
Counting 3's
Counting 4's
Counting 6's
Counting 7's
Counting 8's
Counting 9's
Counting 11's Trick
Counting 12's
Free Printable Multiplication Worksheet Generator
Basic Algebra Lessons
Unit 1: Algebraic Expressions and Equations
1. Simplifying Expressions
2. Solving One-Step Equations
3. Solving Multi-Step Equations
4. Clearing Fractions and Decimals
5. Solving for the Indicated Variable
6. Solving Linear Inequalities
7. Mixture Applications
Unit 2: Graphing Linear Equations
1. Linear Equations in Two Variables
2. Slope of a Line and Rate of Change
3. Slope-Intercept Form of a Line
4. Point-Slope Formula
5. Applications of Linear Equations
Unit 3: Exponent Rules and Polynomials
1. Exponents: Multiplying & Dividing with Common Bases
2. More Properties of Exponents
3. Definitions of Zero and Negative Exponents
4. Scientific Notation
5. Addition and Subtraction of Polynomials
6. Multiplication of Polynomials and Special Products
Unit 4: Factoring
1. Greatest Common Factor and Factor by Grouping
2. Factoring Trinomials: AC Method
College Algebra Lessons
Unit 1: Functions and Graphs
1. Functions & Domain
2. Piecewise Functions and Increasing, Decreasing & Constant
3. Operations with Functions & Difference Quotients
4. Function Compositions
5. Graphing Transformations
Unit 2: Polynomial and Rational Functions
1. How to Graph a Polynomial Function
2. Synthetic Division of Polynomials
3. Zeros of Polynomials
4. Rational Functions
5. Polynomial and Rational Inequalities
Unit 3: All About Inverse, Exponential and Logarithmic Functions
1. Inverse Functions
2. Graphing Exponential Functions & Solving Exponential Equations
3. Graphing Logarithmic Functions & Solving Logarithmic Equations
4. Properties & Laws of Logarithms
5. Solving Logarithmic & Exponential Equations
6. Exponential Growth & Decay Models
Unit 4: All About Conic Sections
1. The Parabola
2. The Ellipse
3. The Hyperbola
Unit 5: Systems of Equations and Matrices
1. Systems of Equations in Two Variables
2. Systems of Equations in Three Variables
3. Matrices and Row Operations
4. Matrix Operations
5. Linear Programming
Contemporary Math Lessons
Unit 1: Sets
1. The Nature of Sets
2. Venn Diagrams and Subsets
3. Set Operations
4. Sets to Solve Problems
5. Infinite Sets
Unit 2: Geometry
1. Measuring Area and Volume with Dimensional Analysis
2. Measuring Weight with Dimensional Analysis
3. Points, Lines, Planes and Angles
4. Triangles
5. Polygons and Perimeter
6. Area and Circumference
7. Volume and Surface Area
8. Trigonometry
Unit 3: Probability and Counting Techniques
1. Fundamental Counting Principle and Permutations
2. Permutations
3. Combinations
4. Fundamentals of Probability
5. Probability with the Fundamental Counting Principle
6. Events Involving Not and Or; Odds
7. Events Involving And; Conditional Probability
8. Expected Value
Unit 4: Statistics
1. Sampling, Frequency Distributions and Graphs
2. Measures of Central Tendency
3. Measures of Dispersion
4. The Normal Distribution
5. Problem Solving with the Normal Distribution
Unit 5: Functions
1. Graphing and Functions
2. Linear Functions and Their Graphs
3. Systems of Linear Equations in Two Variables
4. Linear Inequalities in Two Variables
5. Linear Programming
6. Modeling Data, Exponential, Logarithmic, and Quadratic Functions
7. Compound Interest
Intermediate Algebra Lessons
Unit 1: Functions and Graphs
1. Graphing Linear Equations
2. Functions
3. Function Notation
4. Finding Linear Equations
5. Finding Equations of Linear Models
6. Using Function Notation with Linear Models Make Estimates & Predictions
7. Linear Inequalities
Unit 2: Polynomial Functions and Exponents
1. Addition & Subtraction of Polynomials
2. Multiplication of Polynomials
3. Powers of Polynomials and Products of Binomials
4. Properties of Exponents
Unit 3: Factoring
1. Factoring Difference of Two Squares
2. Factoring Greatest Common Factor & Factor by Grouping
3. Factoring Trinomials with AC Method
4. Using Factoring to Solve Polynomial Equations
Unit 4: Quadratic Functions
1. Graphing Quadratic Functions in Vertex Form
2. Graphing Quadratic Functions in Standard Form
3. Simplifying Radical Expressions
4. Square Root Property and Completing the Square
5. Quadratic Formula
Unit 5: Exponential Functions
1. Integer Exponents
2. Rational Exponents
3. Graphing Exponential Functions
Unit 6: Rational Functions
1. Finding Domains and Simplifying Rational Expressions
2. Multiplying and Dividing Rational Expressions
3. Adding and Subtracting Rational Expressions
4. Solving Rational Equations
5. Modeling with Rational Functions
Unit 7: Radical Functions
1. Simplifying Radical Expressions
2. Graphing and Combining Square Root Functions
3. Solving Radical Equations
Statistics Lessons
A. Introduction to Statistics
1. Statistical Thinking and Types of Data
2. How Statistics Can Be Abused
3. Setting Up Experiments and Sampling Methods
B. Summarizing and Graphing Data
1. Summarizing and Graphing Data
2. Histograms
3. Types of Statistical Graphs
4. Critical Thinking and Bad Graphs
C. Statistics for Describing, Exploring, and Comparing Data
1. Measures of Center
2. Measures of Variation
3. Measures of Relative Standing (Z-scores) and Boxplots
D. Probability
1. Probability Rules and Odds
2. Addition Rule of Probability
3. Multiplication Rule of Probability
4. Complements and Conditional Rule of Probability
E. Discrete Probability Distributions
1. Probability Distributions
2. Binomial Probability Distributions
3. Mean, Variance, and Standard Deviation for a Probability Distribution
F. Normal Probability Distributions
1. The Standard Normal Distribution
2. Applications of Normal Distributions
3. The Central Limit Theorem
G. Estimates and Sample Sizes
1. Confidence Intervals and Estimating a Population Proportion
2. Estimating a Population Mean: Standard Deviation Unknown
H. Hypothesis Testing
1. Basics of Hypothesis Testing
2. Testing a Claim about a Proportion
3. Testing a Claim about a Mean: Standard Deviation Unknown
I. Inferences about Two Means
1. Inferences about Two Means: Independent Samples
2. Inferences about Two Means: Dependent Samples
J. Correlation and Regression
1. Correlation
2. Regression
Best Practices for Teachers
Math with Melissa
Home
Scientific Calculator Gadget
Multiplication Facts and Resources
Computer Games
Counting 3's
Counting 4's
Counting 6's
Counting 7's
Counting 8's
Counting 9's
Counting 11's Trick
Counting 12's
Free Printable Multiplication Worksheet Generator
Basic Algebra Lessons
Unit 1: Algebraic Expressions and Equations
1. Simplifying Expressions
2. Solving One-Step Equations
3. Solving Multi-Step Equations
4. Clearing Fractions and Decimals
5. Solving for the Indicated Variable
6. Solving Linear Inequalities
7. Mixture Applications
Unit 2: Graphing Linear Equations
1. Linear Equations in Two Variables
2. Slope of a Line and Rate of Change
3. Slope-Intercept Form of a Line
4. Point-Slope Formula
5. Applications of Linear Equations
Unit 3: Exponent Rules and Polynomials
1. Exponents: Multiplying & Dividing with Common Bases
2. More Properties of Exponents
3. Definitions of Zero and Negative Exponents
4. Scientific Notation
5. Addition and Subtraction of Polynomials
6. Multiplication of Polynomials and Special Products
Unit 4: Factoring
1. Greatest Common Factor and Factor by Grouping
2. Factoring Trinomials: AC Method
College Algebra Lessons
Unit 1: Functions and Graphs
1. Functions & Domain
2. Piecewise Functions and Increasing, Decreasing & Constant
3. Operations with Functions & Difference Quotients
4. Function Compositions
5. Graphing Transformations
Unit 2: Polynomial and Rational Functions
1. How to Graph a Polynomial Function
2. Synthetic Division of Polynomials
3. Zeros of Polynomials
4. Rational Functions
5. Polynomial and Rational Inequalities
Unit 3: All About Inverse, Exponential and Logarithmic Functions
1. Inverse Functions
2. Graphing Exponential Functions & Solving Exponential Equations
3. Graphing Logarithmic Functions & Solving Logarithmic Equations
4. Properties & Laws of Logarithms
5. Solving Logarithmic & Exponential Equations
6. Exponential Growth & Decay Models
Unit 4: All About Conic Sections
1. The Parabola
2. The Ellipse
3. The Hyperbola
Unit 5: Systems of Equations and Matrices
1. Systems of Equations in Two Variables
2. Systems of Equations in Three Variables
3. Matrices and Row Operations
4. Matrix Operations
5. Linear Programming
Contemporary Math Lessons
Unit 1: Sets
1. The Nature of Sets
2. Venn Diagrams and Subsets
3. Set Operations
4. Sets to Solve Problems
5. Infinite Sets
Unit 2: Geometry
1. Measuring Area and Volume with Dimensional Analysis
2. Measuring Weight with Dimensional Analysis
3. Points, Lines, Planes and Angles
4. Triangles
5. Polygons and Perimeter
6. Area and Circumference
7. Volume and Surface Area
8. Trigonometry
Unit 3: Probability and Counting Techniques
1. Fundamental Counting Principle and Permutations
2. Permutations
3. Combinations
4. Fundamentals of Probability
5. Probability with the Fundamental Counting Principle
6. Events Involving Not and Or; Odds
7. Events Involving And; Conditional Probability
8. Expected Value
Unit 4: Statistics
1. Sampling, Frequency Distributions and Graphs
2. Measures of Central Tendency
3. Measures of Dispersion
4. The Normal Distribution
5. Problem Solving with the Normal Distribution
Unit 5: Functions
1. Graphing and Functions
2. Linear Functions and Their Graphs
3. Systems of Linear Equations in Two Variables
4. Linear Inequalities in Two Variables
5. Linear Programming
6. Modeling Data, Exponential, Logarithmic, and Quadratic Functions
7. Compound Interest
Intermediate Algebra Lessons
Unit 1: Functions and Graphs
1. Graphing Linear Equations
2. Functions
3. Function Notation
4. Finding Linear Equations
5. Finding Equations of Linear Models
6. Using Function Notation with Linear Models Make Estimates & Predictions
7. Linear Inequalities
Unit 2: Polynomial Functions and Exponents
1. Addition & Subtraction of Polynomials
2. Multiplication of Polynomials
3. Powers of Polynomials and Products of Binomials
4. Properties of Exponents
Unit 3: Factoring
1. Factoring Difference of Two Squares
2. Factoring Greatest Common Factor & Factor by Grouping
3. Factoring Trinomials with AC Method
4. Using Factoring to Solve Polynomial Equations
Unit 4: Quadratic Functions
1. Graphing Quadratic Functions in Vertex Form
2. Graphing Quadratic Functions in Standard Form
3. Simplifying Radical Expressions
4. Square Root Property and Completing the Square
5. Quadratic Formula
Unit 5: Exponential Functions
1. Integer Exponents
2. Rational Exponents
3. Graphing Exponential Functions
Unit 6: Rational Functions
1. Finding Domains and Simplifying Rational Expressions
2. Multiplying and Dividing Rational Expressions
3. Adding and Subtracting Rational Expressions
4. Solving Rational Equations
5. Modeling with Rational Functions
Unit 7: Radical Functions
1. Simplifying Radical Expressions
2. Graphing and Combining Square Root Functions
3. Solving Radical Equations
Statistics Lessons
A. Introduction to Statistics
1. Statistical Thinking and Types of Data
2. How Statistics Can Be Abused
3. Setting Up Experiments and Sampling Methods
B. Summarizing and Graphing Data
1. Summarizing and Graphing Data
2. Histograms
3. Types of Statistical Graphs
4. Critical Thinking and Bad Graphs
C. Statistics for Describing, Exploring, and Comparing Data
1. Measures of Center
2. Measures of Variation
3. Measures of Relative Standing (Z-scores) and Boxplots
D. Probability
1. Probability Rules and Odds
2. Addition Rule of Probability
3. Multiplication Rule of Probability
4. Complements and Conditional Rule of Probability
E. Discrete Probability Distributions
1. Probability Distributions
2. Binomial Probability Distributions
3. Mean, Variance, and Standard Deviation for a Probability Distribution
F. Normal Probability Distributions
1. The Standard Normal Distribution
2. Applications of Normal Distributions
3. The Central Limit Theorem
G. Estimates and Sample Sizes
1. Confidence Intervals and Estimating a Population Proportion
2. Estimating a Population Mean: Standard Deviation Unknown
H. Hypothesis Testing
1. Basics of Hypothesis Testing
2. Testing a Claim about a Proportion
3. Testing a Claim about a Mean: Standard Deviation Unknown
I. Inferences about Two Means
1. Inferences about Two Means: Independent Samples
2. Inferences about Two Means: Dependent Samples
J. Correlation and Regression
1. Correlation
2. Regression
Best Practices for Teachers
More
Home
Scientific Calculator Gadget
Multiplication Facts and Resources
Computer Games
Counting 3's
Counting 4's
Counting 6's
Counting 7's
Counting 8's
Counting 9's
Counting 11's Trick
Counting 12's
Free Printable Multiplication Worksheet Generator
Basic Algebra Lessons
Unit 1: Algebraic Expressions and Equations
1. Simplifying Expressions
2. Solving One-Step Equations
3. Solving Multi-Step Equations
4. Clearing Fractions and Decimals
5. Solving for the Indicated Variable
6. Solving Linear Inequalities
7. Mixture Applications
Unit 2: Graphing Linear Equations
1. Linear Equations in Two Variables
2. Slope of a Line and Rate of Change
3. Slope-Intercept Form of a Line
4. Point-Slope Formula
5. Applications of Linear Equations
Unit 3: Exponent Rules and Polynomials
1. Exponents: Multiplying & Dividing with Common Bases
2. More Properties of Exponents
3. Definitions of Zero and Negative Exponents
4. Scientific Notation
5. Addition and Subtraction of Polynomials
6. Multiplication of Polynomials and Special Products
Unit 4: Factoring
1. Greatest Common Factor and Factor by Grouping
2. Factoring Trinomials: AC Method
College Algebra Lessons
Unit 1: Functions and Graphs
1. Functions & Domain
2. Piecewise Functions and Increasing, Decreasing & Constant
3. Operations with Functions & Difference Quotients
4. Function Compositions
5. Graphing Transformations
Unit 2: Polynomial and Rational Functions
1. How to Graph a Polynomial Function
2. Synthetic Division of Polynomials
3. Zeros of Polynomials
4. Rational Functions
5. Polynomial and Rational Inequalities
Unit 3: All About Inverse, Exponential and Logarithmic Functions
1. Inverse Functions
2. Graphing Exponential Functions & Solving Exponential Equations
3. Graphing Logarithmic Functions & Solving Logarithmic Equations
4. Properties & Laws of Logarithms
5. Solving Logarithmic & Exponential Equations
6. Exponential Growth & Decay Models
Unit 4: All About Conic Sections
1. The Parabola
2. The Ellipse
3. The Hyperbola
Unit 5: Systems of Equations and Matrices
1. Systems of Equations in Two Variables
2. Systems of Equations in Three Variables
3. Matrices and Row Operations
4. Matrix Operations
5. Linear Programming
Contemporary Math Lessons
Unit 1: Sets
1. The Nature of Sets
2. Venn Diagrams and Subsets
3. Set Operations
4. Sets to Solve Problems
5. Infinite Sets
Unit 2: Geometry
1. Measuring Area and Volume with Dimensional Analysis
2. Measuring Weight with Dimensional Analysis
3. Points, Lines, Planes and Angles
4. Triangles
5. Polygons and Perimeter
6. Area and Circumference
7. Volume and Surface Area
8. Trigonometry
Unit 3: Probability and Counting Techniques
1. Fundamental Counting Principle and Permutations
2. Permutations
3. Combinations
4. Fundamentals of Probability
5. Probability with the Fundamental Counting Principle
6. Events Involving Not and Or; Odds
7. Events Involving And; Conditional Probability
8. Expected Value
Unit 4: Statistics
1. Sampling, Frequency Distributions and Graphs
2. Measures of Central Tendency
3. Measures of Dispersion
4. The Normal Distribution
5. Problem Solving with the Normal Distribution
Unit 5: Functions
1. Graphing and Functions
2. Linear Functions and Their Graphs
3. Systems of Linear Equations in Two Variables
4. Linear Inequalities in Two Variables
5. Linear Programming
6. Modeling Data, Exponential, Logarithmic, and Quadratic Functions
7. Compound Interest
Intermediate Algebra Lessons
Unit 1: Functions and Graphs
1. Graphing Linear Equations
2. Functions
3. Function Notation
4. Finding Linear Equations
5. Finding Equations of Linear Models
6. Using Function Notation with Linear Models Make Estimates & Predictions
7. Linear Inequalities
Unit 2: Polynomial Functions and Exponents
1. Addition & Subtraction of Polynomials
2. Multiplication of Polynomials
3. Powers of Polynomials and Products of Binomials
4. Properties of Exponents
Unit 3: Factoring
1. Factoring Difference of Two Squares
2. Factoring Greatest Common Factor & Factor by Grouping
3. Factoring Trinomials with AC Method
4. Using Factoring to Solve Polynomial Equations
Unit 4: Quadratic Functions
1. Graphing Quadratic Functions in Vertex Form
2. Graphing Quadratic Functions in Standard Form
3. Simplifying Radical Expressions
4. Square Root Property and Completing the Square
5. Quadratic Formula
Unit 5: Exponential Functions
1. Integer Exponents
2. Rational Exponents
3. Graphing Exponential Functions
Unit 6: Rational Functions
1. Finding Domains and Simplifying Rational Expressions
2. Multiplying and Dividing Rational Expressions
3. Adding and Subtracting Rational Expressions
4. Solving Rational Equations
5. Modeling with Rational Functions
Unit 7: Radical Functions
1. Simplifying Radical Expressions
2. Graphing and Combining Square Root Functions
3. Solving Radical Equations
Statistics Lessons
A. Introduction to Statistics
1. Statistical Thinking and Types of Data
2. How Statistics Can Be Abused
3. Setting Up Experiments and Sampling Methods
B. Summarizing and Graphing Data
1. Summarizing and Graphing Data
2. Histograms
3. Types of Statistical Graphs
4. Critical Thinking and Bad Graphs
C. Statistics for Describing, Exploring, and Comparing Data
1. Measures of Center
2. Measures of Variation
3. Measures of Relative Standing (Z-scores) and Boxplots
D. Probability
1. Probability Rules and Odds
2. Addition Rule of Probability
3. Multiplication Rule of Probability
4. Complements and Conditional Rule of Probability
E. Discrete Probability Distributions
1. Probability Distributions
2. Binomial Probability Distributions
3. Mean, Variance, and Standard Deviation for a Probability Distribution
F. Normal Probability Distributions
1. The Standard Normal Distribution
2. Applications of Normal Distributions
3. The Central Limit Theorem
G. Estimates and Sample Sizes
1. Confidence Intervals and Estimating a Population Proportion
2. Estimating a Population Mean: Standard Deviation Unknown
H. Hypothesis Testing
1. Basics of Hypothesis Testing
2. Testing a Claim about a Proportion
3. Testing a Claim about a Mean: Standard Deviation Unknown
I. Inferences about Two Means
1. Inferences about Two Means: Independent Samples
2. Inferences about Two Means: Dependent Samples
J. Correlation and Regression
1. Correlation
2. Regression
Best Practices for Teachers
How to Graph Rational Functions
Youtube videos are linked within this lesson.
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Lesson 4.5 Rational functions Videos.pdf
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