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Mathematics Demystified

Part 1 - Review of Number Concepts

LESSON 1 SUMMARY - Review of Number Concepts
(1) Different types of numbers (concepts) (25:28)
(2) Different types of numbers (questions) (39:22)
(3) Perfect, Palindomic, Narcissistic numbers (12:20)
(4) Using symbols to link numbers (15:54)
(5) Multiples (15:16)
(6) Lowest commom multiple (10:06)
(7) Factors (17:56)
(8) Highest commom factor (21:40)
(9) Prime numbers and composite numbers (11:18)
(10) Twin prime numbers and Super prime numbers (10:16)
(11) Prime factors (18:47)
(12) HCF and LCM using prime factors (18:54)
(13) Divisible test (26:41)
(14) Power and Roots (49:51)
(15) Directed numbers (21:43)
(16) Order of operations (45:44)
(17) Rounding numbers (17:57)

Part 2 - Understanding Algebra

LESSON 2 SUMMARY - Understanding Algebra
18 Understanding Algebra Lesson Adding and Subtracting Like Terms (38:35)
19 Understanding Algebra Multiplying and Dividing in Expression (40:56)
20 Understanding Algebra Index Notation and Product of Prime Factors (42:19)
21 Understanding Algebra Working with Brackets (40:44)
22 Understanding Algebra Expressing a Number as a Product of its Prime Factors (15:46)
23 Understanding Algebra Multiplying and Dividing the Same Base by Different Indices (23:08)
24 Understanding Algebra Raising a Power (20:03)
25 Understanding Algebra Negative Indices (18:49)
26 Understanding Algebra Fractional Indices and Non Unit Indices (46:11)
27 Understanding Algebra Algebric Expression (63:45)
28 Understanding Algebra Substitution in Algebra (41:55)

Part 3 - Making sense of Shapes

LESSON 3 SUMMARY -Making sense of Shapes
29 Geometric Terms (17:05)
30 Types of Angles (9:33)
31 Basic Angle Facts and Relationship (18:03)
32 Measuring of Angles (36:56)
33 Drawing of Angles (15:37)
34 Angle Relationship to find Unknown Angles (68:43)
35 Triangles (17:44)
36 Unknown Angles of a Triangle Using Relationships (34:28)
37 Quardrilaterals (18:00)
38 Finding Unknown Angles of Quardrilaterals Using Relationships (42:37)
39 Polygons (28:21)
40 Construction of Triangles and circles (31:08)

Part 4 - Deconstructing Data

LESSON 4 SUMMARY - Deconstructing Data
41 Data and Graph (41:10)
42 Selection of Data and Graph (27:25)
43 Tally Table (18:50)
44 Frequency Table (25:51)
45 Stem and Leaf diagram (49:59)
46 Two Way Table (21:09)
47 Pictogram (22:09)
48 Bar Charts (53:59)
49 Pie Charts (47:25)

Part 5 - Fractions and Form

LESSON 5 SUMMARY - Fractions and Form
50 Introduction to Fractions (22:16)
51 Proper, Improper and Mixed Fractions (18:43)
52 Addition, Subtraction and Multipication, Division in Fractions (62:45)
53 Egyptian Fractions (43:15)
54 Fractions with Decimals (61:23)
55 Percentages, Decimals and Fractions (60:35)
56 Increase and Decrease in Percentage (35:09)
57 Reverse Percentages (26:03)
58 Standard form of a Number (64:38)
59 Simplification and Standard forms (47:02)
60 Estimations (28:47)

Part 6 - Equations and Formulae

LESSON 6 SUMMARY - Equations and Formulae
61 Expansion of Brackets (52:53)
62 Solution of Linear Equations (61:08)
63 Factorising Algebaric Expressions (62:42)
64 the Equations (55:50)

Part 7 - Area and Volume Measurement

LESSON 7 SUMMARY - Area and Volume Measurement
65 Calculation of Perimeter (29:24)
66 Calculation of Area of Simple Shapes (18:49)
67 Calculation of Area of Complex Shapes (42:02)
68 Unknown Length (19:01)
69 Complex Problems with Shapes (54:20)
70 Area and Circumference in Circles (29:17)
71 Area of Shaded Regions (22:56)
72 Applications of Shapes in Real-life (40:45)
73- Area, Perimeter and Arc measurement (45:34)
74 - Complex Shaded Regions (66:12)
75 Volume and Surface Area of Prisms (25:43)
76 Calculation of Volume and Surface Area of Prisms (34:52)
77 Pyramids, Cones and Spheres (64:40)
78 Net of Solids (40:03)
79 Introduction of Area and Perimeter (36:22)
80 Perimeter by Measurement (20:44)

Part 8 - Probability

LESSON 8 SUMMARY - Probability
81 Probability Fundamentals (16:16)
82 Probability Practice Questions (35:38)
83 Introduction to Probability Diagram (16:26)
84 Possibility Diagram Practice Questions (31:11)
85 Independent and Mutually Exclusive Events (53:01)

Part 9 - Sequences, Terms & Sets

LESSON 9 SUMMARY - Sequences, Terms & Sets
86 Sequence and Term-to-Term Rule (26:04)
87 Position-to-Term Rule: (14:23)
88 Finding the nth Term (45:55)
89 Questions about Position-to-Term rule (45:49)
90 Sequences for Patterns (16:50)
91 Rational Numbers and Recurring Decimals into fractions (54:30)
92 Introduction to Sets (29:40)
93 Descriptive and Tabular form of sets (18:26)
94 Union and Intersection of Sets and Venn Diagram (39:52)
95 Set Builder Notation (34:56)

Part 10 - Lines & Equations

LESSON 10 SUMMARY - Lines & Equations
96 Straight Line Equation and its Graph (58:18)
97 Drawing a Straight Line with the help of its Equation (46:21)
98 Equation of Horizontal ang Vertical Line and Gradient of a Line (54:51)
99 Calculating the Equation of a Straight Line without Graph (34:03)
100 Equation of a line from its Graph and Equation of a line Parallel to it (52:36)
101 Parallel Lines and Perpendicular Lines (32:46)
102 X-intercept and Y-intercept (22:51)
103 Midpoint of a Straight Line Segment (48:06)
104 Expanding and Simplification of Brackets (70:32)
105 Factorization (52:24)

Part 11 - Pythagorean Theorem and Similar Solids & Shapes

LESSON 11 SUMMARY - Pythagorean Theorem and Similar Solids & Shapes
106 Pythagorean Theorem (52:33)
107 Right-Angled Triangles (9:22)
108 Distance Formula Derivation using Pythagorean Theorem (9:55)
109 Similar Shapes (45:06)
110 Unknown Lengths and Scale Factor in Similar Shapes (34:05)
111 Area of Similar Shapes (43:44)
112 Similar Solids (44:07)
113 Congruent shapes (46:20)
114 Congruent Triangles and Postulates (54:59)

Part 12 - Averages & Ranges

LESSON 12 SUMMARY - Averages & Ranges
115 Different Types of Average (18:06)
116 Mode (12:15)
117 Mean (64:04)
118 Median (25:24)
119 Range in Average (31:01)
120 Average & Range from Grouped Continuous data and Stem & Leaf Diagrams (76:35)
121 Understanding Multiple Ranges and Back-to-Back Stem & Leaf Diagram (60:41)
122 Box and Whisker Plot (43:05)

Part 13 - Understanding Measurements

PART 13 SUMMARY - Understanding Measurements
123 Measurements and Units (39:44)
124 Conversion of Units (47:22)
125 Dealing with Units (48:12)
126 Concept of Calculation of Time (60:17)
127 Questions Using Calculation of Time (69:18)
128 Time Table (41:03)
129 Upper and Lower Bounds (48:30)
130 Solving Upper and Lower Bounds (84:18)
131 Conversion Graphs (39:24)
132 Foreign Currency (22:27)

Part 14 - Equations & Inequalities

LESSON 14 SUMMARY - Equations & Inequalities
133 Simaltaneous Equations by Graphing Method (45:34)
134 Simultaneous Equations by Elimination Method (39:51)
135 Simultaneous Equations by Substitution Method (43:39)
136 Linear Inequalities (61:31)
137 Rules about Boundaries and Shading of Regions (46:54)
138 Representation of Simultaneous Equations (48:57)
139 Greatest & Least Values (37:44)
140 Completing the Square (32:40)
141 Quadratic Formula (41:40)
142 Mid-Term Breaking (47:37)
143 Factoring Quadratics with Non-Unit Coefficient (28:00)
144 Simplification of Algebraic Fractions (74:13)
145 Multiplication & Division of Algebraic Fractions (48:36)
146 Addition & Subtraction of Algebraic Fractions (50:35)

Part 15 - Scale, Bearings & Using Trigonometry

LESSON 15 SUMMARY - Scale, Bearings & Using Trigonometry
147 Scale Drawing (20:54)
149 Drawing a Scaled Diagram (24:17)
150 Bearing (36:27)
151 Right-Angled Triangle (15:28)
152 Trigonometry (37:35)
153 Calculations of Angles Using Trigonometric Ratios (58:49)
154 Angles Between 0° and 180° (93:13)
155 Sine Rule & Cosine Rule (44:55)
156 Area of a Triangle (31:02)
148Trigonometry in Three Dimension (30:33)

Part 16 - Intro to Bivariate Data

LESSON 16 SUMMARY - Intro to Bivariate Data
157 Scattering Diagram & Co-Relations (29:47)

Part 17 - Money Managing

LESSON 17 SUMMARY - Money Managing
158 Percentages and Types of Income (20:48)
159 Pay Calculation (38:29)
160 Earnings Deductions (31:26)
161 Tax Table Information (21:35)
162 Simple Interest (39:01)
163 Hire Purchase (49:07)
164 Compound Interest & Exponential Growth and Decay (76:04)
165 Profit, Loss & Discounts (27:01)
166 Selling Price, Cost Price and Mark Up (30:13)

Part 18 - Curved Graphs

LESSON 18 SUMMARY - Curved Graphs
167 Exploring Quadratic Graphs (40:05)
168 Mastering Parabola Equations and Key Points (56:18)
169 Drawing Reciprocal Graphs (The Hyperbola) (48:03)
170 Using Graphs to Solve Quadratic Equations (31:28)
171 Using Graphs to Solve Simultaneous Linear & Non-Linear Equations (17:21)
172 Exploring Various Graphs (14:30)
173 Understanding Curve Gradients (20:00)
174 Differentials (254:52)

Part 19 - Symmetry

LESSON 19 SUMMARY - Symmetry
175 Symmetry in Two Dimensions (47:50)
176 Rotational Symmetry in Two Dimensions (33:24)
177 Plane Symmetry in Three Dimension (48:48)
178 Rotational Symmetry in Three Dimension (23:06)
179 Symmetrical Properties of a Circle (30:08)
180 Problems related to Symmetrical Properties of a Circle (46:39)
181 Angle Relationship in Circles (46:24)
182 Problems related to Angle Relationship in Circles (Part 1) (65:47)
183 Problems related to Angle Relationship in Circles (Part 2) (35:01)

Part 20 - Histograms & Frequency Distribution Diagrams

LESSON 20 SUMMARY - Histograms & Frequency Distribution Diagrams
184 Histogram and Frequency Distribution Diagram (62:43)
185 Cumulative Frequency & Curve (63:08)
186 Quartile & Percentile (33:31)

Part 21 - Ratio, Rates & Proportion

LESSON 21 SUMMARY - Ratio, Rates & Proportion
187 Basics of Ratio (14:21)
188 Equivalent Ratios (75:19)
189 Dividing a Quantity in a Given Ratio (36:00)
190 Ratio & Scale Drawing (63:49)
191 Rate (31:07)
192 Explanation of Kinematic Graphs (82:19)
193 Kinematic Graph Questions (54:02)
194 Increasing & Decreasing Amounts by a Given Ratio (9:20)
195 Direct & Inverse Proportion (72:07)
196 Direct & Inverse Proportion in Algebraic Terms (38:20)

Part 22 - Additional Equations, Functions & Formulae

LESSON 22 SUMMARY - Additional Equations, Functions & Formulae
198 Exploring Quadratic Equations (72:08)
197 Setting Up Equations for Problem Solving (67:12)
199 Rearranging Equations (43:12)
200 Functions & Notation (27:59)
201 Composite Functions (27:32)
202 Inverse Functions (27:09)

Part 23 - Vectors & Transformations

LESSON 23 SUMMARY - Vectors & Transformations
203 Reflection Transformation (47:45)
204 Rotational Transformation (part 1 & 2) (61:01)
205 Translation Transformation (42:31)
206 Enlargement Transformation (43:26)
207 Vector Notation (44:48)
208 Operations of Vectors (74:44)
209 Magnitude of a Vector (42:02)
210 Position Vectors (38:39)
211 Combination of Transformations (part 1 & 2) (59:04)

Part 24 - Probability Using Diagrams

LESSON 24 SUMMARY - Probability Using Diagrams
212 Tree Diagrams & Probability (22:59)
213 Calculating Probability From A Tree Diagram (57:52)
214 Calculating Probability From A Venn Diagram (28:17)
215 Conditional Probability (63:58)

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41 Data and Graph

Here we see some data examples. We'll see how to identify which data is of which type.

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