Recorded Lessons for College Algebra & Stats
The lessons below are ones I have pre-recorded to help support students who were absent or students who need a refresher from when it was covered in class. Please fill in your guided note packet as you watch each lesson below.
COLLEGE ALGEBRA
Chapter P
P.1 Algebraic Expressions
P.2 Exponents and Scientific Notation
P.3 Radicals and Rational Exponents
P.4 Polynomials (Adding, Subtracting and Multiplying)
P.5 Factor Polynomials
P.6 Day 1 Restricted Domain, Multiply and Divide Rational Expressions
P.6 Day 2 Complex Fractions and Adding and Subtracting Rational Expressions
Chapter 1
1.1 Graphs and Interpreting Them
1.2 Solving Linear and Rational Equations
1.3 Models and Applications
1.4 Complex Numbers
1.5 Day 1 Solve Quadratics by Square Roots and Factoring
1.5 Day 2 Solve Quadratics by Completing the Square and Quadratic Formula
1.5 Day 3 Interpret the Discriminant and Method of Choice
1.6 Solve Other Types of Equations
1.7 Linear and Absolute Value Inequalities
Chapter 2
2.1 Function Definition, Notation and Graphs
2.2 Piecewise Functions and Odd and Even
2.3 Linear Functions and Slope
2.4 More on Slope (Parallel/Perpendicular/Avg Rate of Change)
2.5 Function Transformations
2.6 Restricted Domains, Combination & Composition of Functions
2.7 Day 1 Inverse Functions
2.7 Day 2 Inverse Graphs
Chapter 3
3.1 Day 1 Graphing by Factoring and using -b divide by 2a
3.1 Day 2 Graph Quadratics in Vertex Form and Applications
3.2 Graph Polynomial Functions in Factored Form
3.3 Dividing Polynomials and Factor Theorem
3.4 Zeros of a Polynomial with Rational Theorem
3.5 Day 1 Asymptotes and Intro to Rational Functions
3.5 Day 2 Graph Any Rational Function and Applications
Chapter 4
4.1 Day 1 Exponential Functions, Their Graphs, and Transformations
4.1 Day 2 Growth, Decay, and Compound Interest
4.2 Day 1 Definition of Logarithms and Basic Properties
4.2 Day 2 Graphs of Logarithms and Transformations
4.3 Properties of Logarithms
4.4 Solving Exponential and Logarithmic Equations
4.5 Solving Exponential Growth, Decay and Log Word Problems
Chapter 5
5.1 Solve Systems of Equations with Substitution and Elimination
5.2 Linear Systems in Three Variables
5.4 Solve Systems of Nonlinear Equations
5.5 Graph Systems of Inequalities
5.6 Linear Programming
STATISTICS
1.1 and 1.2 - Overview and Data Classification
1.3 Data Collection
2.1 Frequency Distributions/Graphs
2.2 More Graphs, Displays and intro to Linear Regression
2.3 Measures of Central Tendency
2.4 Range and Population/Sample Variance and Standard Deviation
2.4 Empirical Rule, Chebychev's Theorem and Coefficient of Variation
2.5 Quartiles, IQR, and Box and Whisker Plots
2.5 Percentiles and Z-Scores
3.1 Basic Concepts of Probability and Counting
3.2 Independent/Dependent Events and Conditional Probability
3.3 Addition Rule for Probability
3.4 Factorials, Permutations and Combinations
3.4 Probabilities with Permutations and Combinations
4.1 Probability Distributions
4.2 Binomial Experiments & Probabilities
4.2 Binomial Distribution, Mean, St. Deviation
4.3 Geometric and Poisson Distributions
Chapter 3 and 4 Guided Learning Target Review Sheet Overview
5.1 Normal and Standard Normal Distribution
5.2 Finding Probabilities Using Z-Score
5.3 Find Value Given a Probability
5.4 Central Limit Theorem
5.5 Normal Approximation to the Binomial
Chapter 5 Guided Learning Target Review Sheet Overview
6.1 Confidence Interval for σ Known
6.2 Confidence Interval for σ Unknown
6.3 Confidence Interval for Population Proportions
7.1 Intro to Hypothesis Testing (stating hypotheses and type I/II error)
7.1 Hypothesis Testing (p-values, making and interpreting a decision)
7.2 Hypothesis Testing for the Mean (σ Known)
7.2 Finding Critical Values and Establishing Rejection Regions
7.3 Hypothesis Testing for the Mean (σ Unknown) *No rejection regions, just interpret p-values
7.4 Hypothesis Testing for Proportions
Chapter 6 and 7 Guided Learning Target Review Sheet
COLLEGE ALGEBRA
Chapter P
P.1 Algebraic Expressions
P.2 Exponents and Scientific Notation
P.3 Radicals and Rational Exponents
P.4 Polynomials (Adding, Subtracting and Multiplying)
P.5 Factor Polynomials
P.6 Day 1 Restricted Domain, Multiply and Divide Rational Expressions
P.6 Day 2 Complex Fractions and Adding and Subtracting Rational Expressions
Chapter 1
1.1 Graphs and Interpreting Them
1.2 Solving Linear and Rational Equations
1.3 Models and Applications
1.4 Complex Numbers
1.5 Day 1 Solve Quadratics by Square Roots and Factoring
1.5 Day 2 Solve Quadratics by Completing the Square and Quadratic Formula
1.5 Day 3 Interpret the Discriminant and Method of Choice
1.6 Solve Other Types of Equations
1.7 Linear and Absolute Value Inequalities
Chapter 2
2.1 Function Definition, Notation and Graphs
2.2 Piecewise Functions and Odd and Even
2.3 Linear Functions and Slope
2.4 More on Slope (Parallel/Perpendicular/Avg Rate of Change)
2.5 Function Transformations
2.6 Restricted Domains, Combination & Composition of Functions
2.7 Day 1 Inverse Functions
2.7 Day 2 Inverse Graphs
Chapter 3
3.1 Day 1 Graphing by Factoring and using -b divide by 2a
3.1 Day 2 Graph Quadratics in Vertex Form and Applications
3.2 Graph Polynomial Functions in Factored Form
3.3 Dividing Polynomials and Factor Theorem
3.4 Zeros of a Polynomial with Rational Theorem
3.5 Day 1 Asymptotes and Intro to Rational Functions
3.5 Day 2 Graph Any Rational Function and Applications
Chapter 4
4.1 Day 1 Exponential Functions, Their Graphs, and Transformations
4.1 Day 2 Growth, Decay, and Compound Interest
4.2 Day 1 Definition of Logarithms and Basic Properties
4.2 Day 2 Graphs of Logarithms and Transformations
4.3 Properties of Logarithms
4.4 Solving Exponential and Logarithmic Equations
4.5 Solving Exponential Growth, Decay and Log Word Problems
Chapter 5
5.1 Solve Systems of Equations with Substitution and Elimination
5.2 Linear Systems in Three Variables
5.4 Solve Systems of Nonlinear Equations
5.5 Graph Systems of Inequalities
5.6 Linear Programming
STATISTICS
1.1 and 1.2 - Overview and Data Classification
1.3 Data Collection
2.1 Frequency Distributions/Graphs
2.2 More Graphs, Displays and intro to Linear Regression
2.3 Measures of Central Tendency
2.4 Range and Population/Sample Variance and Standard Deviation
2.4 Empirical Rule, Chebychev's Theorem and Coefficient of Variation
2.5 Quartiles, IQR, and Box and Whisker Plots
2.5 Percentiles and Z-Scores
3.1 Basic Concepts of Probability and Counting
3.2 Independent/Dependent Events and Conditional Probability
3.3 Addition Rule for Probability
3.4 Factorials, Permutations and Combinations
3.4 Probabilities with Permutations and Combinations
4.1 Probability Distributions
4.2 Binomial Experiments & Probabilities
4.2 Binomial Distribution, Mean, St. Deviation
4.3 Geometric and Poisson Distributions
Chapter 3 and 4 Guided Learning Target Review Sheet Overview
5.1 Normal and Standard Normal Distribution
5.2 Finding Probabilities Using Z-Score
5.3 Find Value Given a Probability
5.4 Central Limit Theorem
5.5 Normal Approximation to the Binomial
Chapter 5 Guided Learning Target Review Sheet Overview
6.1 Confidence Interval for σ Known
6.2 Confidence Interval for σ Unknown
6.3 Confidence Interval for Population Proportions
7.1 Intro to Hypothesis Testing (stating hypotheses and type I/II error)
7.1 Hypothesis Testing (p-values, making and interpreting a decision)
7.2 Hypothesis Testing for the Mean (σ Known)
7.2 Finding Critical Values and Establishing Rejection Regions
7.3 Hypothesis Testing for the Mean (σ Unknown) *No rejection regions, just interpret p-values
7.4 Hypothesis Testing for Proportions
Chapter 6 and 7 Guided Learning Target Review Sheet