Course Content
Introduction: Course Topics
introduction chapter of SMA video series
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Introduction
00:00
Course Overview
00:36
Course Topics
02:01
Course Advice
03:22
Exponents and Algorithms
Summary of the chapter Exponents and Algorithms: Laws of exponents
0/12
Introduction to Integer Exponents
07:14
Laws of Exponents
08:26
More Laws of Exponents
07:25
Introduction to Fractional Exponents
07:24
More Fractional Exponents
12:57
Multiple Roots
07:47
Simplifying Radical Expressions
15:42
Rationalizing Denominators
13:07
Conjugate Radicals
11:39
Logarithms
08:47
Recap
03:00
Exponents and Logarithms Quiz
00:08:00
Complex Numbers
Short summary
0/7
The Square Root of −1
07:01
What Complex Numbers Are
06:20
Addition and Subtraction
03:10
Multiplication and Division
07:56
Other Notations
02:23
Recap
01:28
Complex Numbers Quiz
00:10:00
Linear Equations
0/15
What is a Linear Equation
11:14
One Equation, One Variable
12:13
One Equation, One Variable Interlude GeoGebra
11:21
Two Equations, Two Variables
05:56
Two Equations, Two Variables Interlude GeoGebra
04:28
Substitution Method
04:48
Elimination Method
03:18
Two Equations, Two Variables More Examples
11:11
Zero or Infinitely Many Solutions
03:45
Zero or Infinitely Many Solutions Interlude GeoGebra
02:24
Word Problems Intro
09:38
Word Problems Moving
10:19
Word Problems Rate of Work
13:21
Recap
02:34
Linear Equations Quiz
00:10:00
Proportions
0/11
Direct Proportions
13:30
Joint and Inverse Proportions
10:53
More Joint and Inverse Proportions
16:11
Manipulating Proportions
06:08
Conversion Factors
08:14
Conversion Factors Negative Exponents
05:58
Percent
05:46
Interest
03:38
Percent Examples
10:59
Recap
01:40
Proportions Quiz
00:10:00
Integers
0/11
Divisibility
05:47
Number Bases
13:00
More Number Bases
05:50
Last Digit Problems
08:29
Modular Arithmetic
11:25
More Modular Arithmetic
08:33
Divisibility Tricks
12:28
Primes
10:49
Common Factors
05:55
Recap
03:46
Using the Integers Quiz
00:10:00
Quadratic Equations
0/14
Intro
01:44
Factoring Quadratics
06:26
How to Factor Quadratics
24:27
Special Factorizations
05:48
Quadratics Interlude GeoGebra
05:57
Quadratic Formula
12:27
Quadratic Formula Examples
10:59
Quadratics Variations
17:48
Quadratics Variations Substitutions
05:39
Square Roots
16:38
More Square Roots
06:43
Beyond Quadratics
01:14
Recap
01:35
Quadratic Equations quiz
00:10:00
Factorizations and Manipulations
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Identities
06:40
Factorization Examples I
03:46
Factorization Examples II
12:09
Factorization Examples III
03:32
Manipulations
09:07
Recap
00:42
Special Factorizations and Clever Manipulations Quiz
00:10:00
What Numbers Are
0/7
Naturals Integers Rationals
07:12
Comparing Fractions
03:57
Lowest Terms and Irrationals
07:32
Transcendentals and Reals
01:54
Complex Numbers
04:01
Recap
02:19
What Numbers Really Are Quiz
00:05:00
Angles
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Points, Lines and Angles 1
08:26
Points, Lines and Angles 2
09:14
Circles 1
06:46
Circles 2
08:15
Circles 3
09:11
More Notations
10:15
Parallel Lines
06:13
Corresponding and Alternating Angles
06:56
Well Definedness
11:07
Sum of Angles in a Triangle
11:24
Diagrams
10:46
Geogebra
11:46
Building a Good Intuition
07:33
Quiz 1
09:22
Quiz 2
10:05
Quiz 3
10:09
Quiz 4
10:29
Triangles
0/32
Types of Triangles 1
05:51
Types of Triangles 2
05:50
Types of Triangles 3
06:38
Similarities 1
06:59
Similarities 2
06:05
Similarities 3
07:43
Similarities 4
12:00
Similarities 5
05:46
Similarities 6
06:25
Similarities 7
07:12
Similarities 8
06:40
Congruency
04:53
Pythagoras Theorem 1
09:01
Pythagoras Theorem 2
04:57
Lengths of a Parallelogram 1
08:12
Lengths of a Parallelogram 2
05:19
Lengths of a Parallelogram 3
10:51
Trigonometry 1
07:23
Trigonometry 2
10:12
Trigonometry 3
09:45
Trigonometry 4
08:49
Area and Sine Rule
08:20
Area and Cosine Rule 1
11:56
Area and Cosine Rule 2
07:05
Stewarts Theorem
05:54
Tangency
05:56
Quiz 1
10:20
Quiz 2
10:44
Quiz 3
08:55
Quiz 4
06:40
Quiz 5
11:12
Quiz 6
07:36
Quadrilaterals
0/21
Basics
10:06
Cyclic Type
08:20
Tangential Type 1
06:25
Tangential Type 2
06:07
Trapezium
05:57
Focal Type
11:45
Isosceles Trapezium
04:59
Parallelogram
06:42
Kite
05:35
Rhombus
05:12
Rectangle
04:40
Square
05:01
Example 1
11:34
Example 2
07:26
Example 3
10:22
Area 1
07:37
Area 2
03:48
Area 3
03:37
Quiz 1
04:35
Quiz 2
03:17
Quiz 3
04:40
Polygons
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External Angles
06:47
Sum of Angles
07:01
Pentagon
10:55
Hexagon and Octagon
11:22
Example 4
09:21
Quiz
07:48
Angle Chasing
0/8
Basics
05:33
Circle Theorems 1
08:40
Circle Theorems 2
06:49
Circle Theorems 3
05:48
Circle Theorems 4
08:38
Circle Theorems 5
08:14
Quiz 1
05:37
Quiz 2
05:56
Areas
0/9
Similarity
09:59
Same Base and Angles
05:52
Example 1: Part 1
07:53
Example 1: Part 2
08:37
Example 1: Part 3
06:50
Example 2
06:03
Quiz 1
07:59
Quiz 2
04:39
Quiz 3
06:47
The Power of Coordinates
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The Power of Coordinates 1
09:52
The Power of Coordinates 2
07:52
The Power of Coordinates: Lines
10:40
The Power of Coordinates: Distance
10:40
The Power of Coordinates: Circles
08:32
Quiz
08:47
Power of a Point
0/8
The Power of a Point
10:04
Power of a Point: Proofs
07:11
Power of a Point: Converse
07:03
6 Points Circle (Part 1)
06:31
6 Points Circle (Part 2)
05:33
6 Points Circle (Part 3)
05:24
6 Points Circle (Part 4)
06:23
Quiz
12:30
Three Dimensional Geometry
0/10
Planes, Surface Area & Volumes
07:49
Spheres
05:04
Cubes and Boxes
06:47
Prisms and Cylinders
07:32
Pyramids and Cones
11:57
Upright Cones
04:54
Polyhedra
13:42
Example 1
06:01
Example 2
06:43
Example 3
07:07
Geometric Transformations
0/6
Translation
08:27
Rotation
07:53
Reflection
11:08
Distortion
07:49
Dilation
06:17
Quiz
15:51
Functions
0/14
Introduction to Functions
13:28
Input Vs Output
12:49
Graphs
10:18
Even and Odd Functions
07:22
Composition and Inverse of Functions
11:16
Polynomials
18:58
Polynomials 2
08:46
Other Common Functions – Trigonometric Functions
12:13
Other Common Functions – Exponential Functions
06:56
Other Common Functions – Logarithmic Functions
06:02
Special Functions
19:39
Special Functions 2
15:18
Quiz 1
07:30
Quiz 2
07:07
Inequalities
0/9
What they Do
22:39
Linear Inequalities 1
17:35
Linear Inequalities 2
10:23
Linear Inequalities 3
20:50
Quadratic Inequalities
15:48
Absolute Values
17:19
Trivial AM-GM
20:19
Quiz 1
08:28
Quiz 2
14:50
Operations and Relations
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Introduction to Operations and Relations
14:51
Properties of Operations
14:55
Properties of Relations
14:24
Quiz
10:02
Sequence and Series
0/9
Introduction to Sequence
17:29
Arithmetic Progression
12:31
Geometric Progression
08:08
Introduction to Series
06:46
Arithmetic Series
15:37
Geometric Series
17:21
Quiz 1
09:50
Quiz 2
05:20
Quiz 3
06:33
Learning to Count
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Introduction
13:29
Learning to Count: Addition
07:54
Learning to Count: Multiplication
14:47
Learning to Count: Number of Divisors
15:08
Permutations and Factorials
19:22
Counting in Two Ways
16:51
Binomial Theorem 1
12:43
Binomial Theorem 2
13:40
Quiz 1
12:11
Quiz 2
09:22
Statistics and Probability
0/5
Statistics
05:14
Probability
11:50
Multiplying Probabilities
12:26
Casework
06:56
Quiz
13:36
Set Theory
0/11
Definitions
12:51
Examples 1
08:05
Examples 2
11:02
Operations on Sets 1
11:10
Operations on Sets 2
08:53
Operations on Sets 3
09:40
Operations on Sets 4
07:06
Venn Diagram 1
07:57
Venn Diagram 2
08:14
Quiz 1
07:45
Quiz 2
13:31
Prove It
0/5
Laws of Logic
06:54
Writing Proofs
15:25
Mathematical Induction
13:53
Convincing But Wrong
06:36
Quiz
15:03
SMA Video Series
Exercise Files
Special Maths Academy Problem corner November 2022.pdf
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