SMA Video Series
Rationalizing Denominators
SMA Video Series
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Introduction: Course Topics
introduction chapter of SMA video series
Introduction
Video - 00:00 mins
Course Overview
Video - 0:36 mins
Course Topics
Video - 2:01 mins
Course Advice
Video - 3:22 mins
Exponents and Logarithms
Summary of the chapter Exponents and Logarithms: Laws of exponents
Introduction to Integer Exponents
Video - 7:14 mins
Laws of Exponents
Video - 8:26 mins
More Laws of Exponents
Video - 7:25 mins
Introduction to Fractional Exponents
Video - 7:24 mins
More Fractional Exponents
Video - 12:57 mins
Multiple Roots
Video - 7:47 mins
Simplifying Radical Expressions
Video - 15:42 mins
Rationalizing Denominators
Video - 13:07 mins
Conjugate Radicals
Video - 11:39 mins
Logarithms
Video - 8:47 mins
Recap
Video - 3:00 mins
Exponents and Logarithms Quiz
Quiz
Exponents and Logarithms Quiz
Quiz
Exponents and Logarithms Quiz
Quiz
Complex Numbers
Short summary
The Square Root of −1
Video - 7:01 mins
What Complex Numbers Are
Video - 6:20 mins
Addition and Subtraction
Video - 3:10 mins
Multiplication and Division
Video - 7:56 mins
Other Notations
Video - 2:23 mins
Recap
Video - 1:28 mins
Complex Numbers Quiz
Quiz
Complex Numbers Quiz
Quiz
Complex Numbers Quiz
Quiz
Linear Equations
What is a Linear Equation
Video - 11:14 mins
One Equation, One Variable
Video - 12:13 mins
One Equation, One Variable Interlude GeoGebra
Video - 11:21 mins
Two Equations, Two Variables
Video - 5:56 mins
Two Equations, Two Variables Interlude GeoGebra
Video - 4:28 mins
Substitution Method
Video - 4:48 mins
Elimination Method
Video - 3:18 mins
Two Equations, Two Variables More Examples
Video - 11:11 mins
Zero or Infinitely Many Solutions
Video - 3:45 mins
Zero or Infinitely Many Solutions Interlude GeoGebra
Video - 2:24 mins
Word Problems Intro
Video - 9:38 mins
Word Problems Moving
Video - 10:19 mins
Word Problems Rate of Work
Video - 13:21 mins
Recap
Video - 2:34 mins
Linear Equations Quiz
Quiz
Linear Equations Quiz
Quiz
Linear Equations Quiz
Quiz
Proportions
Direct Proportions
Video - 13:30 mins
Joint and Inverse Proportions
Video - 10:53 mins
More Joint and Inverse Proportions
Video - 16:11 mins
Manipulating Proportions
Video - 6:08 mins
Conversion Factors
Video - 8:14 mins
Conversion Factors Negative Exponents
Video - 5:58 mins
Percent
Video - 5:46 mins
Interest
Video - 3:38 mins
Percent Examples
Video - 10:59 mins
Recap
Video - 1:40 mins
Proportions Quiz
Quiz
Proportions Quiz
Quiz
Proportions Quiz
Quiz
Integers
Divisibility
Video - 5:47 mins
Number Bases
Video - 13:00 mins
More Number Bases
Video - 5:50 mins
Last Digit Problems
Video - 8:29 mins
Modular Arithmetic
Video - 11:25 mins
More Modular Arithmetic
Video - 8:33 mins
Divisibility Tricks
Video - 12:28 mins
Primes
Video - 10:49 mins
Common Factors
Video - 5:55 mins
Recap
Video - 3:46 mins
Using the Integers Quiz
Quiz
Using the Integers Quiz
Quiz
Using the Integers Quiz
Quiz
Quadratic Equations
Intro
Video - 1:44 mins
Factoring Quadratics
Video - 6:26 mins
How to Factor Quadratics
Video - 24:27 mins
Special Factorizations
Video - 5:48 mins
Quadratics Interlude GeoGebra
Video - 5:57 mins
Quadratic Formula
Video - 12:27 mins
Quadratic Formula Examples
Video - 10:59 mins
Quadratics Variations
Video - 17:48 mins
Quadratics Variations Substitutions
Video - 5:39 mins
Square Roots
Video - 16:38 mins
More Square Roots
Video - 6:43 mins
Beyond Quadratics
Video - 1:14 mins
Recap
Video - 1:35 mins
Quadratic Equations quiz
Quiz
Quadratic Equations quiz
Quiz
Quadratic Equations quiz
Quiz
Factorizations and Manipulations
Identities
Video - 6:40 mins
Factorization Examples I
Video - 3:46 mins
Factorization Examples II
Video - 12:09 mins
Factorization Examples III
Video - 3:32 mins
Manipulations
Video - 9:07 mins
Recap
Video - 0:42 mins
Special Factorizations and Clever Manipulations Quiz
Quiz
Special Factorizations and Clever Manipulations Quiz
Quiz
Special Factorizations and Clever Manipulations Quiz
Quiz
What Numbers Are
Naturals Integers Rationals
Video - 7:12 mins
Comparing Fractions
Video - 3:57 mins
Lowest Terms and Irrationals
Video - 7:32 mins
Transcendentals and Reals
Video - 1:54 mins
Complex Numbers
Video - 4:01 mins
Recap
Video - 2:19 mins
What Numbers Really Are Quiz
Quiz
What Numbers Really Are Quiz
Quiz
What Numbers Really Are Quiz
Quiz
Angles
Points, Lines, and Angles 1
Video - 8:26 mins
Points, Lines and Angles 2
Video - 9:14 mins
Circles 1
Video - 6:46 mins
Circles 2
Video - 8:15 mins
Circles 3
Video - 9:11 mins
More Notations
Video - 10:15 mins
Parallel Lines
Video - 6:13 mins
Corresponding and Alternating Angles
Video - 6:56 mins
Well Definedness
Video - 11:07 mins
Sum of Angles in a Triangle
Video - 11:24 mins
Diagrams
Video - 10:46 mins
Geogebra
Video - 11:46 mins
Building a Good Intuition
Video - 7:33 mins
Quiz 1
Video - 9:22 mins
Quiz 2
Video - 10:05 mins
Quiz 3
Video - 10:09 mins
Quiz 4
Video - 10:29 mins
Quiz 5
Video - 00:00:00 mins
Triangles
Types of Triangles 1
Video - 5:51 mins
Types of Triangles 2
Video - 5:50 mins
Types of Triangles 3
Video - 6:38 mins
Similarities 1
Video - 6:59 mins
Similarities 2
Video - 6:05 mins
Similarities 3
Video - 7:43 mins
Similarities 4
Video - 12:00 mins
Similarities 5
Video - 5:46 mins
Similarities 6
Video - 6:25 mins
Similarities 7
Video - 7:12 mins
Similarities 8
Video - 6:40 mins
Congruency
Video - 4:53 mins
Pythagoras Theorem 1
Video - 9:01 mins
Pythagoras Theorem 2
Video - 4:57 mins
Lengths of a Parallelogram 1
Video - 8:12 mins
Lengths of a Parallelogram 2
Video - 5:19 mins
Lengths of a Parallelogram 3
Video - 10:51 mins
Trigonometry 1
Video - 7:23 mins
Trigonometry 2
Video - 10:12 mins
Trigonometry 3
Video - 9:45 mins
Trigonometry 4
Video - 8:49 mins
Area and Sine Rule
Video - 8:20 mins
Area and Cosine Rule 1
Video - 11:56 mins
Area and Cosine Rule 2
Video - 7:05 mins
Stewarts Theorem
Video - 5:54 mins
Tangency
Video - 5:56 mins
Quiz 1
Video - 10:20 mins
Quiz 2
Video - 10:44 mins
Quiz 3
Video - 8:55 mins
Quiz 4
Video - 6:40 mins
Quiz 5
Video - 11:12 mins
Quiz 6
Video - 7:36 mins
Quadrilaterals
Basics
Video - 10:06 mins
Cyclic Type
Video - 8:20 mins
Tangential Type 1
Video - 6:25 mins
Tangential Type 2
Video - 6:07 mins
Trapezium
Video - 5:57 mins
Focal Type
Video - 11:45 mins
Isosceles Trapezium
Video - 4:59 mins
Parallelogram
Video - 6:42 mins
Kite
Video - 5:35 mins
Rhombus
Video - 5:12 mins
Rectangle
Video - 4:40 mins
Square
Video - 5:01 mins
Example 1
Video - 11:34 mins
Example 2
Video - 7:26 mins
Example 3
Video - 10:22 mins
Area 1
Video - 7:37 mins
Area 2
Video - 3:48 mins
Area 3
Video - 3:37 mins
Quiz 1
Video - 4:35 mins
Quiz 2
Video - 3:17 mins
Quiz 3
Video - 4:40 mins
Polygons
External Angles
Video - 6:47 mins
Sum of Angles
Video - 7:01 mins
Pentagon
Video - 10:55 mins
Hexagon and Octagon
Video - 11:22 mins
Example 4
Video - 9:21 mins
Quiz
Video - 7:48 mins
Angle Chasing
Basics
Video - 5:33 mins
Circle Theorems 1
Video - 8:40 mins
Circle Theorems 2
Video - 6:49 mins
Circle Theorems 3
Video - 5:48 mins
Circle Theorems 4
Video - 8:38 mins
Circle Theorems 5
Video - 8:14 mins
Quiz 1
Video - 00:5:36 mins
Quiz 2
Video - 00:00:00 mins
Areas
Similarity
Video - 9:59 mins
Same Base and Angles
Video - 5:52 mins
Example 1: Part 1
Video - 7:53 mins
Example 1: Part 2
Video - 8:37 mins
Example 1: Part 3
Video - 00:6:50 mins
Example 2
Video - 00:6:2 mins
Quiz 1
Video - 00:00:00 mins
Quiz 2
Video - 00:4:38 mins
Quiz 3
Video - 00:6:46 mins
The Power of Coordinates
The Power of Coordinates 1
Video - 9:52 mins
The Power of Coordinates 2
Video - 7:52 mins
The Power of Coordinates: Lines
Video - 10:40 mins
The Power of Coordinates: Distance
Video - 10:40 mins
The Power of Coordinates: Circles
Video - 8:32 mins
Quiz
Video - 8:47 mins
Power of a Point
The Power of a Point
Video - 10:04 mins
Power of a Point: Proofs
Video - 7:11 mins
Power of a Point: Converse
Video - 7:03 mins
6 Points Circle (Part 1)
Video - 6:31 mins
6 Points Circle (Part 2)
Video - 00:5:32 mins
6 Points Circle (Part 3)
Video - 00:5:23 mins
6 Points Circle (Part 4)
Video - 00:6:22 mins
Quiz
Video - 00:12:29 mins
Three Dimensional Geometry
Planes, Surface Area & Volumes
Video - 7:49 mins
Spheres
Video - 00:5:4 mins
Cubes and Boxes
Video - 00:6:47 mins
Prisms and Cylinders
Video - 00:7:32 mins
Pyramids and Cones
Video - 00:11:56 mins
Upright Cones
Video - 00:4:53 mins
Polyhedra
Video - 13:42 mins
Example 1
Video - 00:6:00 mins
Example 2
Video - 00:6:43 mins
Example 3
Video - 00:7:6 mins
Geometric Transformations
Translation
Video - 00:8:27 mins
Rotation
Video - 00:7:53 mins
Reflection
Video - 00:11:7 mins
Distortion
Video - 00:7:48 mins
Dilation
Video - 6:17 mins
Quiz
Video - 00:00:00 mins
Functions
Introduction to Functions
Video - 13:28 mins
Input Vs Output
Video - 12:49 mins
Graphs
Video - 10:18 mins
Even and Odd Functions
Video - 7:22 mins
Composition and Inverse of Functions
Video - 00:11:15 mins
Polynomials
Video - 00:18:57 mins
Polynomials 2
Video - 8:46 mins
Other Common Functions - Trigonometric Functions
Video - 00:12:12 mins
Other Common Functions - Exponential Functions
Video - 00:6:55 mins
Other Common Functions - Logarithmic Functions
Video - 00:6:2 mins
Special Functions
Video - 00:19:38 mins
Special Functions 2
Video - 00:15:18 mins
Quiz 1
Video - 00:7:30 mins
Quiz 2
Video - 00:00:00 mins
Inequalities
What they Do
Video - 00:22:39 mins
Linear Inequalities 1
Video - 00:17:35 mins
Linear Inequalities 2
Video - 10:22 mins
Linear Inequalities 3
Video - 00:20:49 mins
Quadratic Inequalities
Video - 00:15:48 mins
Absolute Values
Video - 00:17:19 mins
Trivial AM-GM
Video - 00:20:19 mins
Quiz 1
Video - 00:8:28 mins
Quiz 2
Video - 00:14:50 mins
Operations and Relations
Introduction to Operations and Relations
Video - 14:51 mins
Properties of Operations
Video - 14:55 mins
Properties of Relations
Video - 14:24 mins
Quiz
Video - 10:02 mins
Sequence and Series
Introduction to Sequence
Video - 17:29 mins
Arithmetic Progression
Video - 12:31 mins
Geometric Progression
Video - 8:08 mins
Introduction to Series
Video - 6:45 mins
Arithmetic Series
Video - 15:37 mins
Geometric Series
Video - 17:21 mins
Quiz 1
Video - 9:50 mins
Quiz 2
Video - 5:20 mins
Quiz 3
Video - 6:33 mins
Learning to Count
Introduction
Video - 00:13:28 mins
Learning to Count: Addition
Video - 00:7:53 mins
Learning to Count: Multiplication
Video - 00:14:46 mins
Learning to Count: Number of Divisors
Video - 00:15:7 mins
Permutations and Factorials
Video - 00:19:22 mins
Counting in Two Ways
Video - 00:16:50 mins
Binomial Theorem 1
Video - 12:43 mins
Binomial Theorem 2
Video - 13:40 mins
Quiz 1
Video - 00:12:11 mins
Quiz 2
Video - 00:9:21 mins
Statistics and Probability
Statistics
Video - 5:14 mins
Probability
Video - 11:50 mins
Multiplying Probabilities
Video - 12:26 mins
Casework
Video - 00:6:56 mins
Quiz
Video - 00:00:00 mins
Set Theory
Definitions
Video - 00:12:51 mins
Examples 1
Video - 00:8:5 mins
Examples 2
Video - 00:11:2 mins
Operations on Sets 1
Video - 11:10 mins
Operations on Sets 2
Video - 00:8:53 mins
Operations on Sets 3
Video - 00:9:40 mins
Operations on Sets 4
Video - 00:7:6 mins
Venn Diagram 1
Video - 00:7:57 mins
Venn Diagram 2
Video - 8:14 mins
Quiz 1
Video - 00:7:45 mins
Quiz 2
Video - 00:13:30 mins
Prove It
Laws of Logic
Video - 6:54 mins
Writing Proofs
Video - 15:25 mins
Mathematical Induction
Video - 00:13:53 mins
Convincing But Wrong
Video - 6:36 mins
Quiz
Video - 15:03 mins
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