This PowerPoint begins with a short historical reference to origins of Coordinate Geometry.
Afterwards, we find key concepts, namely the gradient of a line as well as properties for parallel and perpendicular lines. We also investigate other concepts related, such as midpoint of a line segment, distance between two points, the perpendicular bisector of a line segment and the equation of a circle.
Another important aspect to consider in this topic involves the use of a solid algebra, as many exercises require the solution of simultaneous equations in order to find points of intersection.
In this topic, students are strongly encouraged to sketch diagrams which represent the given situations, as this will enable them to visualize and understand the information received.
Additionally, we explore different examples of worked exam-style questions, where all steps are clear and detailed.
Hopefully, this resource can help students in their preparation for examinations and can also be used as a complementary teaching tool, when delivering these topics.