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Prolific E-Math Online
Introduction
Introductory Video (1:29)
1. Quadratic Equations & Functions
1.1 Introduction & Methods of Solving Quadratic Equations (4:50)
1.2 Factorisation (46:52)
1.3 Completing the Square & Quadratic Formula (39:50)
1.4 Graphs of Quadratic Equations (56:08)
2. Numbers & Algebra
2.1 Basic Definitions (27:37)
2.2 Highest Common Factor (HCF) (21:03)
2.3 Lowest Common Multiple (LCM) (13:58)
2.4 Direct & Inverse Proportion (35:35)
2.5 Simple & Compoud Interest, Currency Exchange, Plans & Schemes (58:29)
3. Linear Inequalities
3.1 Introduction to Inequalities (33:38)
3.2 Inequalities Problems (32:17)
4. Indices & Standard Form
4.1 Laws & Types of Indices (43:45)
4.2 Indices Practice & Problems (52:40)
4.3 Standard Form (17:01)
5. Coordinate Geometry
5.1 Gradient & Length of Straight Line (11:32)
5.2 Equation of Straight Line (46:56)
5.3 Line of Symmetry & Perpendicular Distance (57:02)
6. Graphs of Functions & Graphical Solution
6.1 Types of Graphs (61:58)
6.2 Solving Equations using Graph & Real Life Questions (45:56)
7. Trigonometry
7.1 Sine & Cosine of Obtuse Angles (26:49)
7.2 Area of Triangle (24:37)
7.3 Sine Rule & Cosine Rule (72:23)
8. Applications of Trigonometry
8.1 Bearings (36:28)
8.2 Angle of Elevation & Depression (41:33)
8.3 3-D Problems (38:53)
9. Arc Length, Area of Sector & Radian Measure
9.1 Arc Length & Area of Sector (81:40)
9.2 Radian Measure (14:43)
10. Congruent & Similar Triangles
10.1 Congruent Triangles (17:28)
10.2 Similar Triangles (20:16)
11. Area & Volume of Similar Figures & Solids
11.1 Ratio & Area of Triangles (51:43)
11.2 Area & Volume of Similar Figures (47:21)
12. Geometrical Properties of Circles, Quadrilaterals
12.1 Symmetric Properties of Circles (29:04)
12.2 Angle Properties of Circles & Cyclic Quadrilaterals (50:26)
13. Sets
13.1 Introduction to Sets (28:29)
13.2 Venn Diagrams, Intersection & Union of Sets (62:48)
13.3 Problems involving Sets (27:51)
14. Probability
14.1 Introduction to Probability (31:07)
14.2 Mutually Exclusive, Indepedent & Dependent Events (64:00)
14.3 Possibility & Tree Diagram (54:11)
15. Statistics
15.1 Introduction to Statistics, Charts & Diagrams (36:06)
15.2 Mean, Median,Mode & Standard Deviation (76:00)
15.3 Median,Quartiles,Percentiles & Interquartile Range (46:00)
15.4 Box-and-Whisker Plot (44:53)
16. Matrices
16.1 Introduction to Matrices (29:30)
16.2 Addition & Subtraction of Matrices (22:57)
16.3 Matrix Multiplication (42:37)
16.4 Matrices Applications & Questions (50:04)
17. Vectors
17.1 Introduction to Vectors (35:49)
17.2 Vector Addition, Subtraction & Translation (53:27)
17.3 Scalar Multiple & Parallel Vectors (36:18)
17.4 Vector Questions (45:15)
18. Investigative Problems & Number Patterns
18.1 Introduction & Common Number Patterns (17:49)
18.2 Common Number Pattern Questions (30:41)
19. Geometry & Measurement
19.1 Angle Properties of Triangles & Special Quadrilaterals (19:12)
19.2 Polygons (20:08)
19.3 Constructing Perpendicular Bisector & Angle Bisector (2:35)
20. Real World Questions
20.1 Approach to Real World Questions (21:05)
20.2 Real World Questions Practice (49:33)
1.3 Completing the Square & Quadratic Formula
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