Explore coordinate geometry and linear relationships through a comprehensive video series that builds from fundamental concepts to advanced applications. Begin with basic plotting on the Cartesian plane and progress through finding equations of graphs using both triangle and formula methods. Master sketching linear graphs through slope-intercept and x/y-intercepts approaches, then develop skills in calculating distances using Pythagoras' theorem and the distance formula. Learn to find midpoints between coordinates and understand the geometric properties of shapes through coordinate analysis. Dive into gradient calculations, including angle of inclination, and explore the relationships between parallel and perpendicular lines. Study various forms of linear equations including point-gradient and two-point forms, and apply coordinate geometry to prove geometric theorems such as the concurrence of medians in triangles. Practice with review questions covering fractions, surds, equations, and coordinate geometry applications to reinforce learning and prepare for assessments.

Syllabus

Tricky Co-ordinate Geometry Problem (1 of 2)
Tricky Co-ordinate Geometry Problem (2 of 2)
How to plot a simple graph
Introduction to the Cartesian Plane
Finding the rule (equation) of a graph (1 of 2: Triangle Method)
Finding the rule (equation) of a graph (2 of 2: Formula Method)
Sketching Linear Graphs by Slope/Intercept Method (1 of 2: Explanation)
Sketching Linear Graphs by Slope/Intercept Method (2 of 2: Example)
Sketching Linear Graphs by x/y-Intercepts Method (1 of 2: Explanation)
Sketching Linear Graphs by x/y-Intercepts Method (2 of 2: Example)
Calculating Distance (1 of 5: Review of Pythagoras' Theorem)
Calculating Distance (2 of 5: Using Pythagoras w/ Coordinates)
Calculating Distance (3 of 5: Example w/ Negative Coordinates)
Calculating Distance (4 of 5: Developing the Formula)
Calculating Distance (5 of 5: Using the Formula)
Finding the Midpoint (1 of 3: Horizontal & Vertical Intervals)
Finding the Midpoint (2 of 3: Between 2 Random Points)
Finding the Midpoint (3 of 3: Using the Formula)
Finding the centre of a square
Plotting points & sketching graphs on the Cartesian plane
Understanding a triangle through Coordinate Geometry
Introduction to Coordinate Geometry (1 of 2: The Cartesian Plane)
Y10 Review Questions (Fractions, Surds, Equations)
Introduction to Coordinate Geometry (2 of 2: Midpoint Formula)
Y10 Review Questions (Midpoints)
Deriving the Distance Formula
Gradient (1 of 3: Developing the formula)
Gradient (2 of 3: Angle of inclination)
Gradient (3 of 3: Example of finding an angle)
Parallel Lines
Perpendicular Lines (1 of 2: Using congruent triangles)
Perpendicular Lines (2 of 2: Understanding the relationship)
Graphing Straight Lines (1 of 2: Interpreting equations as graphs)
Graphing Straight Lines (2 of 2: Basic example questions)
Point-Gradient Form (1 of 2: Reviewing other forms for straight lines)
Point-Gradient Form (2 of 2: y - yₒ = m(x - xₒ))
2-Point Form (Equations of Straight Lines)
Y10 Review Questions (Straight lines in coordinate geometry)
Concurrence of Medians (1 of 2: Proof via similar triangles)
Concurrence of Medians (2 of 2: Proof via coordinate geometry)
Coordinate Geometry - example test question