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Course Materials
Lessons
Similarity Proofs
- Video - Proofs of Similar Inscribed Triangles (8:10)
- Video - Proofs of Similar Triangles using Parallel Lines (4:28)
- Video - Proving Trapeziums by Proofs of Similar Triangles using Ratios (7:06)
- Video - Proofs of Similar Triangles using Ratios & Vertically Opposite Angles (3:33)
- Video - Proofs of Similar Triangles using Midpoints & Parallel Lines (11:17)
- Video - Proofs of Similar Triangles using Ratios & Angles (4:25)
Distance Between Two Points using Coordinates
- Video - Understanding Distance between Two Points Formula (2:24)
- Video - Distance between Two Points (9:10)
- Video - Distance between Two Vertical and Horizontal Points (1:45)
- Video - Find Unknown Values using Distance between Two Points Formula (8:02)
- Video - Understanding Distance Between Two Points (6:26)
- Video - Finding Unknown from Distance between Two Points (5:12)
- Topic - Distance between Two Points 1
- Topic - Distance between Two Points 2
- Topic - Distance between Two Points 3
- Topic - Distance between Two Vertical Points
- Topic - Distance between Two Horizontal Points
- Topic - Distance between Two Points in Surds
- Topic - Finding Unknowns using Distance between Two Points 1
- Topic - Finding Unknowns using Distance between Two Points 2
Midpoint Formula
- Video - Understanding Midpoint Formula (4:27)
- Video - Application of Midpoint Formula (6:42)
- Video - Divide a Line Segment Equally Using Midpoint Formula (3:20)
- Video - Understanding Midpoints (4:40)
- Video - Midpoints and Circles (3:45)
- Topic - Midpoint of Two Points
- Topic - Finding Unknowns in Midpoint of Two Points 1
- Topic - Finding Unknowns in Midpoint of Two Points 2
- Topic - Finding Unknowns in Midpoint of Two Points 3
- Topic - Finding Unknowns in Midpoint of Two Points 4
- Topic - Division of Line Segments in Four Equal Pieces
Gradient of Lines
- Video - Understanding Gradient Formula (3:56)
- Video - Finding Gradients of Straight Lines (2:56)
- Video - Applications of Gradients (6:38)
- Video - Gradient from Two Points (4:10)
- Video - Gradient from an Angle (4:03)
- Video - Finding the Positive Angle of x-axis (4:10)
- Video - Finding Gradients (4:55)
- Video - Gradient Undefined (1:21)
- Video - Gradient Zero (1:32)
- Video - Gradient from Rise and Run (4:48)
Parallel Lines
- Video - Parallel Lines (4:16)
- Video - Identifying Parallel Lines (4:49)
- Video - Application of Parallel Lines (4:50)
- Video - Parallel Lines involving Similar Figures (9:46)
- Video - Equations of Parallel Lines Passing Through Points (4:27)
- Video - Equations of Parallel Lines in General Form Passing Through Points (4:25)
- Video - Equations of Parallel Lines in General form Passing through Midpoints (4:06)
- Video - Equations of Parallel Lines with Angles Passing Through Points (2:51)
- Video - Proof of Parallel Lines (2:58)
- Topic - Matching Parallel Lines
Perpendicular Lines
- Video - Finding the Gradients of Perpendicular Straight Lines (5:59)
- Video - Matching Perpendicular Lines (2:28)
- Video - Applications involving Perpendicular Lines (6:36)
- Video - Perpendicular Lines (4:44)
- Video - Perpendicular Lines in General Form (8:36)
- Video - Perpendicular Lines involving x-intercepts & y-intercepts (3:16)
- Video - Perpendicular Lines involving Angles (1:40)
- Video - Finding Unknowns in Perpendicular Line Equations (2:55)
- Video - Finding Equations of Perpendicular Lines (2:36)
- Video - Equation of Lines Perpendicular to Line Joining Two Points (3:38)
- Video - Perpendicular Lines involving Triangles (8:47)
- Video - Perpendicular Lines involving Right-Angled Triangles (13:09)
- Video - Perpendicular Lines involving Locus (3:43)
- Video - Perpendicular Lines involving Angles Between Lines (9:10)
- Topic - Gradient of a Straight Line which is Perpendicular to
- Topic - Choose the Straight Lines which is Perpendicular to
- Topic - Unknown Values Determining Two Straight Lines are Perpendicular
- Topic - Perpendicular Gradient from General Form
- Topic - Perpendicular Gradient involving x & y-intercepts
- Topic - Perpendicular Gradient involving Angles
Finding Equations of Lines
- Video - Introduction of Gradients & y-Intercepts (4:39)
- Video - Equations of Straight Lines using Gradients & y-Intercepts (2:16)
- Video - Equations of Straight Lines using Gradients & Passing Points (7:57)
- Video - Linear Equations using Two Point Formula (2:55)
- Video - Equation of Straight Lines involving Gradient & y-intercept (1:09)
- Video - Equation of Straight Lines involving Gradient & Origin (0:43)
- Video - Equation of Straight Lines involving Gradient & Points (1:57)
- Video - Equation of Straight Lines involving Angles & y-intercept (3:19)
- Video - Intercept Form of Straight Lines (2:41)
- Video - Equation of Horizontal Straight Lines (1:13)
- Video - Equation of Vertical Straight Lines (3:14)
- Video - Point-Gradient Formula (3:09)
- Video - Two-Point Formula (6:17)
- Video - Equations of Straight Lines using Gradients & Points (2:05)
- Video - Equations of Straight Lines using Positive Angles & Points (1:22)
- Video - Equations of Straight Lines using Gradients & Midpoints (1:30)
General Form of a Line
- Video - General Form & Gradient-Intercept Form of Straight Lines (6:35)
- Video - General Form of Straight Lines (3:28)
- Video - Equations of Straight Lines using Gradients & Points in General Form (3:05)
- Video - Gradient-Intercept Form (1:42)
- Video - Sketching Straight Lines using Intercepts in General Form (3:22)
Finding a Linear Equation from a Graph
- Video - Finding Equation of Lines (4:49)
- Video - Finding Linear Equations from Straight Line Graphs Passing Origin (3:22)
- Video - Finding Linear Equations from Straight Line Graphs (3:14)
- Video - Finding Linear Equations from Graphs (6:10)
- Video - Finding Linear Equations from Graphs Passing Origin (2:40)
- Video - Finding Linear Equations from Horizontal & Vertical Lines (1:31)
- Video - Equations of Straight Lines using Two Points (4:20)
Sketching Linear Graphs
- Video - Graphing Linear Equations using Intercepts (3:43)
- Video - Graphing Linear Equations using Gradients (7:49)
- Video - Sketching Straight Lines using Gradients (4:26)
- Video - Sketching Straight Lines using Intercepts (6:03)
- Video - Straight Line Graphs in Positive Gradient Passing Origin (4:02)
- Video - Straight Line Graphs in Negative Gradient Passing Origin (3:02)
- Video - Straight Line Graphs in General Form Passing Origin (3:14)
- Video - Straight line Graphs in Positive Gradient by x- and y-intercepts (4:07)
- Video - Straight line Graphs in Negative Gradient by x- and y-intercepts (2:47)
- Video - Straight line Graphs in General Form by x- and y-intercepts (1:58)
Finding Intersection of Lines Graphically
- Video - Points of Intersections between Two Straight Lines (4:03)
- Video - Points of Intersections between Two Straight Lines in General Form (4:58)
- Video - Simultaneous Equations by Elimination Method & Graphs 1 (4:25)
- Video - Simultaneous Equations by Elimination Method & Graphs 2 (2:56)
- Video - Simultaneous Equations with Graphs (8:50)
- Video - Undefined in Simultaneous Equations with Graphs (2:49)
- Video - All Real Values in Simultaneous Equations with Graphs (2:50)
Distance from a Point to a Line: Perpendicular Distance Formula
- Video - Perpendicular Distance from a Point to a Straight Line (8:27)
- Video - Perpendicular Distance from Points to Straight Lines Passing Two Points (4:29)
- Video - Perpendicular Distance from a Point to a Parallel Line (4:15)
- Video - Finding Unknowns using Perpendicular Distance Formula (3:34)
- Video - Perpendicular Distance between Two Parallel Lines (3:24)
- Video - Perpendicular Distance involving Trapezium (10:03)
- Video - Number of Intersection of Circles & Lines by Perpendicular Distance (7:58)
- Video - Finding Circles given Equation of Tangents (1:54)
- Video - Shortest Distance between a Straight Line and a Circle (2:55)
Perpendicular Bisectors
- Video - Perpendicular Bisector using Midpoints (3:14)
- Video - Perpendicular Bisector (8:43)
- Topic - Perpendicular Bisector between Two Points 1
- Topic - Perpendicular Bisector between Two Points 2
- Topic - Perpendicular Bisector between Two Points 3
- Topic - Perpendicular Bisector between Two Points 4
- Topic - Perpendicular Bisector between Two Points 5
Circles
- Video - Graphs of Circles (2:47)
- Video - Graphs of Circles using Centre & Radius (6:39)
- Video - Sketching Circles (5:14)
- Video - Finding Equations of Circles from Graphs (3:54)
- Video - Understanding SemiCircles (5:54)
- Video - Sketching SemiCircles (5:56)
- Video - Finding Equations of SemiCircles (2:38)
- Video - SemiCircles with Given Domains & Ranges (6:10)
- Video - Domain and Range of SemiCircles (6:16)
- Video - Theory of General Equation of a Circle (3:31)
- Video - General Equation of a Circle (4:59)
- Video - Equation of Circles (7:02)
Circles with Completing Squares
- Video - Graphs of Circles using Completing the Square (5:23)
- Video - Theory of Finding Centres & Radii by Completing Square (5:16)
- Video - Finding Centres & Radii by Completing Square (4:54)
- Video - Finding Centres & Radii by Completing Square in Fractions (5:03)
- Video - Upper Half of SemiCircles (4:31)
- Video - Lower Half of SemiCircles (4:27)
- Video - Domain & Range of Reciprocal of SemiCircles (3:04)
Components of a Parabola
- Video - Introduction to Parabola (5:21)
- Video - Parabola Symmetric to y-axis: Concave Up (4:11)
- Video - Parabola Symmetric to y-axis: Concave Down (4:30)
- Video - Finding Equation using Focus & Directrix (1:59)
- Video - Finding Equation using Vertex & Focal Length (3:06)
- Video - Parabola Symmetric to x-axis: Introduction (12:12)
- Video - Parabola Symmetric to x-axis: Concave Right (2:59)
- Video - Parabola Symmetric to x-axis: Concave Left (3:48)
Transformation of a Parabola
- Video - Introduction to Transformation of Parabola Parallel to y-axis (4:59)
- Video - Transformation of Parabola Parallel to y-axis: Shift Right (4:03)
- Video - Transformation of Parabola Parallel to y-axis: Shift Left & Move Up (5:13)
- Video - Equation of Parabola Parallel to y-axis using Vertex and Focus (4:09)
- Video - Equation of Parabola using Vertex & Directrix (3:38)
- Video - Introduction to Transformation of Parabola Parallel to x-axis (3:36)
- Video - Transformation of Parabola Parallel to x-axis (5:00)
- Video - Transformation of Parabola Parallel to x-axis by Completing the Square (7:34)
- Video - Equation of Parabola using Focus & Directrix (2:54)
- Video - Equation of Parabola Parallel to x-axis using Vertex & Focus (2:48)
Equations of Hyperbola
- Video - Rules of Transformation of Hyperbola (1:35)
- Video - Transformation of Hyperbola (5:57)
- Video - Transformation of Hyperbola by Completing the Square (5:14)
- Video - Finding Equations of Hyperbola (5:53)
- Video - Parametric Equations of Hyperbola (3:01)
- Video - Constant Distance between Foci from Points on Hyperbola (3:50)
- Video - Same Focus between Hyperbolas (2:47)
- Video - Determination Being Hyperbola (1:51)
Symmetry of Trigonometric Ratios
- Video - Expressing in Acute Angles of Cosine (5:10)
- Video - Expressing in Acute Angles of Tangent (3:32)
- Video - Expressing in Acute Angles of Sine (1:33)
- Video - Sine & Cosine Ratios Given Tangent Ratio (3:55)
- Video - Cosine & Tangent Ratios Given Sine Ratio (2:59)
- Video - Acute Angles & Obtuse Angles (4:10)
- Video - Signage of Trig Ratios in Acute Angles & Obtuse Angles (1:55)
- Video - Evaluation of Trig Ratios in Acute Angles & Obtuse Angles (4:55)
- Video - Obtuse Angle of Cosine Ratios (4:55)
- Video - Obtuse Angle of Tangent Ratios (3:32)
- Video - Obtuse Angle of Sine Ratios (1:35)
Arc Length and Sector Area
- Video - Arc Length with Angles in Radians (2:15)
- Video - Arc Length with Angles in Degrees (2:24)
- Video - Finding Radius using Known Arc Length (3:18)
- Video - Finding Angles using Known Arc Length (2:23)
- Video - Sector Area with Angles in Radians (1:24)
- Video - Sector Area with Angles in Degrees (1:04)
- Video - Finding Angles using Sector Area (1:03)
- Video - Finding Radius using Sector Area (1:18)
- Video - Sector Area involving Arc Length (2:18)
- Video - Perimeter of a Sector (6:28)
- Video - Area involving Two Sectors (2:21)
- Video - Area of Semicircles and Sectors (2:26)
- Video - Area of Sectors and Isosceles Triangles (8:34)
Trigonometric Ratios
- Video - Sine Ratios in any Magnitude (3:19)
- Video - Cosine Ratios in any Magnitude (2:23)
- Video - Tangent Ratios in any Magnitude (1:40)
- Video - Exact Values of Sine using Coterminal Property (1:01)
- Video - Exact Values of Cosine using Coterminal Property (0:54)
- Video - Exact Values of Tangent using Coterminal Property (2:27)
Four Quadrants in Radian Measure
- Topic - Exact Values of Sine Ratio in the Second Quadrant
- Topic - Exact Values of Cosine Ratio in the Second Quadrant
- Topic - Exact Values of Tangent Ratio in the Second Quadrant
- Topic - Exact Values of Sine Ratio in the Third Quadrant
- Topic - Exact Values of Cosine Ratio in the Third Quadrant
- Topic - Exact Values of Tangent Ratio in the Third Quadrant
- Topic - Exact Values of Sine Ratio in the Fourth Quadrant
- Topic - Exact Values of Cosine Ratio in the Fourth Quadrant
- Topic - Exact Values of Tangent Ratio in the Fourth Quadrant
Applications of the Unit Circle
- Topic - Sine at the First Quadrant
- Topic - Cosine at the First Quadrant
- Topic - Sine at the Second Quadrant
- Topic - Cosine at the Second Quadrant
- Topic - Sine at the Third Quadrant
- Topic - Cosine at the Third Quadrant
- Topic - Cosine at the Third Quadrant using Tangent
- Topic - Sine at the Fourth Quadrant
- Topic - Cosine at the Fourth Quadrant
- Topic - Cosine at the Fourth Quadrant using Tangent
