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Modern Math
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Video Library Modern Math
Unit 1 Problem Solving Strategies
1.1 Problem Solving Strategies
Video 1
Video 2
1.2 Factoring With 3 & 4 Terms
Box Method
AC Method
Slip and Slide Method
1.3 Factoring With 2 Terms
Difference of Squares Ex. 1
Difference of Squares Ex. 2
Sum of Cubes/a>
Difference of Cubes/a>
1.4 Complete the Square
Complete the Square Visual Representation
Convert Standard From to Vertex Form
1.5 Quadratic Formula
Discriminant & Number of Solutions
Quadratic Formula Examples
Quadratic Formula with Complex Solutions
Unit 2 Systems of Equations
2.1 Types of Systems & Graphing
Solving Systems by Graphing
Determine Number of Solutions
Word Problems
2.2 Graphing Systems of Inequalities
System of Inequalities
Word Problems
2.3 Solving Systems
Solving by Substitution Ex. 1
Solving by Substitution Ex. 2
Solving by Elimination
2.4 System of Equations Story Problems
Word Problems
2.5 Systems of Quadratic Equations
Systems of Quadratic Equations
Systems of 3 Variables
Unit 3 Exponential & Log Functions
3.1 Exponential Growth & Decay
Graphs of Exponential Functions
Exponential Growth
Half Life
3.2 Interest Equations
Compound Interest
Compound Interest (Continuously)
3.3 Log Evaluations
Log Evaluations
Natural Logarithms
3.4 Log Properties
Properties of Logarithms
Expanding Log Expressions
Condensing Log Expressions
3.5 Exponential & Log Equations
Log Equations
Exponential Equations
Unit 4 Sequences & Series
4.1 General Sequences
Finding the Pattern for a Sequence Ex. 1
Finding the Pattern for a Sequence Ex. 2
Explicit Formula of a Sequence
4.2 Arithmetic Sequences
Explicit Formulas
Recursive Formulas
Find the nth Term
4.3 Geometric Sequences
Explicit Formulas
Recursive Formulas
Find the nth Term
4.4 Finite Series
Sigma Notation
Finite Arithmetic Series
Finite Geometric Series
4.5 Infinite Geometric Sequences
Infinite Geometric Series
Bouncing Ball Problem
Unit 5 Matrices
5.1 Matrix Operations
Intro to Matrices
Adding and Subtracting Matrices
Scalar Multiplication
Multiplying Matrices
5.2 Determinants & Cramer's Rule
Determinant of a 2x2 Matrix
Cramer's Rule 2x2
Cramer's Rule 3x3
5.3 Row Reduction Echelon Form
Video 1
Video 2
5.4 Matrix Applications
Video 1
Video 2
5.5 Vectors
Video 1
Video 2
Unit 6 Geometry & Trig
6.1 Properties of Circles
Circle Theorems
6.2 Area & Volume
Area Problems
Surface Area & Volume
6.3 Fractals
Video 1
Video 2
6.4 Right Triangle Trig
Right Triangle Trig Overview
Solving Right Triangles
Right Triangle Word Problems
6.5 Law of Sines
Law of Sines Ex. 1
Law of Sines Ex. 2
6.6 Law of Cosines
Law of Cosines Ex. 1
Law of Cosines Ex. 2
Unit 7 Probability
7.1 Theoretical vs Experimental
Theoretical vs Experimental
Probability Intro
7.2 Probability Rules
Probability Rules
Compound Probability
7.3 Two-Way Tables & Tree Diagrams
Tree Diagrams
Two-Way Tables
7.4 Conditional Probability
Conditional Probability
Bayes' Theorem
7.5 Permutations & Combinations
Permutations vs Combinations
Probability Examples with Cards
7.6 Expected Value
Expected Value
Unit 8 Univariate & Bivariate Data
8.1 Displaying & Interpreting Data
Video 1
Video 2
8.2 Center & Spread
Shape, Center, & Spread
Calculate Standard Deviation
8.3 Sampling Methods
Survey vs Observational Study vs Experiment
8.4 Simulations
Simulations
8.5 Normal Distributions
Normal Distribution
Empirical Rule Problems
8.6 Linear Regressions
Correlation
Linear Regression
Interpolation & Extrapolation
Unit 9 Number Theory
9.1 Modular Arithmetic
Video 1
Video 2
9.2 Binary & Hexadecimal
Video 1
Video 2
9.3 Writing & Deciphering Codes
Video 1
Video 2
Unit 10 Graph Theory
10.1 Characteristics of Graphs
Video 1
Video 2
10.2 Traveling Salesmen
Video 1
Video 2
10.3 Directed Graphs
Video 1
Video 2
10.4 PERT Diagrams
Video 1
Video 2