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Course Materials
Lessons
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)
Intercepts
- Video - Straight Line Equations with Intercepts & Points (5:47)
- Topic - x-intercepts of Straight Lines in Standard Form
- Topic - y-intercepts of Straight Lines in Standard Form
- Topic - x-intercepts of Straight Lines in General Form
- Topic - y-intercepts of Straight Lines in General Form
- Topic - Gradients using x- and y-intercepts
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)
Linear Inequalities
- Video - Inequalities in Number Lines (5:22)
- Video - Writing Inequalities from Number Lines (2:29)
- Video - Simple Inequalities (2:04)
- Video - Linear Inequalities Pronumerals on Both Sides (2:48)
- Video - Reversing Inequality Sign (4:46)
- Video - Two Inequality Signs in Inequalities (5:20)
- Video - Inequalities in Fractions 1 (4:32)
- Video - Inequalities in Fractions 2 (4:08)
- Video - Understanding Linear Inequalities (5:10)
- Video - Linear Inequalities involving Multiple Pronumerals (1:30)
- Video - Linear Inequalities involving Reciprocals (1:47)
- Video - Linear Inequalities (4:36)
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)
Pythagoras' Theorem
- Video - Definition of Pythagoras Theorem (4:12)
- Video - Finding the Hypotenuse (4:07)
- Video - Finding a Shorter Side (6:27)
- Topic - Finding Hypotenuse 1
- Topic - Finding Hypotenuse 2
- Topic - Finding Hypotenuse 3
- Topic - Finding Sides in Right-Angled Triangles 1
- Topic - Finding Sides in Right-Angled Triangles 2
- Topic - Finding Sides in Right-Angled Triangles 3
Converse of Pythagoras' Theorem
- Video - Finding Pythagorean Triads (2:52)
- Topic - Determine Right Angled Triangles
- Topic - Determine Right Angled Triangles in Irrational Numbers
- Topic - Right-Angled Triangles 1
- Topic - Right-Angled Triangles 2
- Topic - Right-Angled Triangles 3
- Topic - Obtuse-Angled Triangles 1
- Topic - Obtuse-Angled Triangles 2
- Topic - Obtuse-Angled Triangles 3
- Topic - Acute-Angled Triangles 1
- Topic - Acute-Angled Triangles 2
- Topic - Acute-Angled Triangles 3
Problem Solving with Pythagoras' Theorem
- Video - Applications of Areas (9:00)
- Video - Sides of a Triangle by Pythagoras Theorem (1:50)
- Video - Sides of Three Triangles by Pythagoras Theorem (4:06)
- Video - Composite Shape involving Pythagoras' Theorem (3:58)
- Video - Diagonals in Squares using Pythagoras Theorem (3:40)
- Video - Sides of Trapeziums using Pythagoras Theorem (3:11)
- Video - Circles and Pythagoras Theorem (2:15)
- Video - Three-Dimensional using Pythagoras Theorem (3:07)
Angles in Centre and Circumference
- Video - Centre Angle is Twice of Circumference Angle (5:12)
- Video - Quadrilateral Inscribed in Circle with Circumference Angle (1:28)
- Video - Angles in Quadrilateral with Circles & Circumference (1:55)
- Video - Angles in Circumference with Angle Sum of Triangle (2:52)
- Video - Angles in Triangles with Centre & Circumference Angles (2:42)
- Video - Centre & Circumference Angles with Equal Radii (2:02)
- Video - Angles at Circumference (3:28)
Angles in Same Segment
- Video - Same Chords Corresponding Arcs (5:10)
- Video - Parallel Lines Given Arcs & Chords (5:43)
- Video - Same Line Segments using Similarity (4:03)
- Video - Same Angles Given Equal Lengths of Arcs (2:44)
- Video - Same Angles Given Right Angles in Two Circles (4:28)
- Video - Same Line Segments Given Equal Arcs (4:02)
- Video - Angles in Same Segment & Angle Sum of a Triangle (4:51)
- Video - Angles in Same Segment & Alternate Angles (4:09)
- Video - Angles in Same Segment & Angles in Isosceles Triangles (5:06)
- Video - Angles in Same Segment & Exterior Angles in Triangles (1:40)
- Video - Angles in Same Segment & Vertically Opposite Angles (2:48)
- Video - Angles on Same Arc (5:04)
- Video - Angles Subtended from Same Arcs (4:07)
Angles in Semi Circle
- Video - Angles in Semicircle & Equal Radii (2:51)
- Video - Angles in Semicircle & Pythagoras Theorem (1:30)
- Video - Angles in Semicircle & Collinear (2:42)
- Video - Angles in Semicircle & Angles in Same Segments (2:59)
- Video - Angles in Semicircle & Isosceles Triangles (2:23)
- Video - Angles in Alternate Segment & Angles in SemiCircles (3:26)
Cyclic Quadrilateral and Angles in a Circle
- Video - Opposite Angles of Cyclic Quadrilateral (3:02)
- Video - Opposite Angles of Cyclic Quadrilateral & Angles (2:28)
- Video - Cyclic Quadrilateral and Parallel Lines (2:03)
- Video - Angle Sum of Cyclic Quadrilateral (2:31)
- Video - Exterior Angles in Cyclic Quadrilateral (2:23)
- Video - Exterior Angles in Cyclic Quadrilateral & Parallel Lines (1:26)
- Video - Exterior Angles in Cyclic Quadrilateral & Angles in Same Segments (4:36)
- Video - Exterior Angles in Cyclic Quadrilateral of Two Circles (2:38)
- Video - Exterior Angles in Cyclic Quadrilateral & Isosceles Triangles (2:27)
Alternate Segment
- Video - Alternate Segment & Angle at Circumference (2:20)
- Video - Alternate Segment & Alternate Angle (1:34)
- Video - Alternate Segment & Parallel Lines (3:11)
- Video - Alternate Segment & Angle Sum of a Triangle (3:42)
- Video - Two Angles in Alternate Segments (3:08)
- Video - Alternate Segment & an Exterior Angle of a Triangle (4:15)
- Video - Alternate Segment & Isosceles Triangles (3:22)
- Video - Angles in Alternate Segment & Angles in Same Segment (3:42)
- Video - Cyclic Quadrilateral & Alternate Segment (2:09)
Chords and Tangents in Circles
- Video - Tangent to a Circle (2:47)
- Video - Radius Drawn to Point of Contact of Tangent (2:22)
- Video - Radius Drawn to Point of Contact (2:59)
- Video - Tangent to Two Circles involving Pythagoras Theorem (2:34)
- Video - Tangent to a Circle involving Angle in a Semicircle (4:14)
- Video - Tangent to a Circle involving Angle between Radius & Tangent (1:57)
- Video - Angle between Radius & Tangent (2:26)
- Video - Tangent to a Circle involving Angle Sum of a Triangle (1:58)
Intersecting Tangents
- Video - Two Tangents to a Circle (4:35)
- Video - Tangents from External Point involving Angles (1:51)
- Video - Tangents from External Point involving Side Lengths (2:13)
- Video - Inscribed Quadrilateral involving Tangents (3:39)
- Video - Three Tangents in Two Circles (6:07)
- Video - Tangents from External Point involving Cyclic Quadrilateral (7:11)
- Video - Tangents Drawn from External Points involving Collinear (5:27)
Radius Meets a Chord at Right Angle
- Video - Radii & Chords in Circles (2:02)
- Video - Chords Given Radius & Centre (1:05)
- Video - Chords & Concentric Circles (1:23)
- Video - Distance Between Parallel Chords in Circles (2:08)
- Video - Equidistant From Centres (3:53)
- Video - Same Lengths of Chords in Circles (1:34)
- Video - Bisect Angles Between Chords in Circles (2:41)
- Video - Distance Between Centres in Two Circles (1:53)
- Video - Distance Between Centres in Three Circles (3:49)
Cyclic Quadrilateral and Lines in a Circle
- Video - Alternate Segment & Cyclic Quadrilateral (2:42)
- Video - Cyclic Quadrilateral & Diameters (7:33)
- Video - Proofs using Multiple Cyclic Quadrilaterals (11:08)
- Video - Angles involving Cyclic Quadrilateral & Parallel Lines (7:50)
- Video - Cyclic Quadrilateral & Angles at Circumference (6:36)
- Video - Angles involving Cyclic Quadrilateral & Alternate Segment (4:30)
- Video - Cyclic Quadrilateral & Angles at SemiCircles (4:23)
- Video - Cyclic Quadrilateral & Collinear (2:56)
- Video - Exterior Angles of Cyclic Quadrilateral (1:34)
