L2 Coordinate Geometry

L2 Coordinate Geometry

1. Methods

   • To get ACHIEVED, students need to be able to demonstrate the use of at least 3 methods. Students will need to... 1.  Select and use the method. 2.  Demonstrate knowledge of coordinate geometry concepts and terms. 3.  Communicate using appropriate means.
   • Midpoint
   • Length of line segment
   • Gradient of line segment
     • Parallel Lines
     • Perpendicular lines
   • Equation of a line

2. Relational Thinking

   • To get MERIT, students need to apply methods using relational thinking to solve problems. The student will need to... 1. Select and carry out a logical sequence of steps. 2.  Connect different concepts. 3.  Demonstrate understanding of the concepts. 4.  Relate findings to a context - communicate their thinking and solution to the problem clearly.
   • Calculate gradients to prove shape with parallel lines
   • Calculate gradients to prove shape with perpendicular lines
   • Calculate length to prove shape
   • Use simultaneous equations to find coordinates of intesecting lines

3. Abstract Thinking

   • For EXCELLENCE, students need to be able to apply methods using abstract thinking to solve problems. The student will need to .... 1. devise a strategy to investigate and solve a problem. 2.  Identify relevant concepts in context. 3.  Develop a chain of logical reasoning. 4. Form a generalisation
   • Identify the exact shape made by the coordinates
   • Identify the exact shape made by the midpoints of each line segment
   • Use properties of altitude, diagonals, perpendicular bisectors and medians to identify further properties of the shape
   • Investigate any other interesting features of the shape