level 2 coordinate geometry
topic outline visual
practice work
The above component is to be laser cut from sheet metal. This is a CNC device or computer numerically controlled laser cutter.
Achieved: 2 out of three methods used.
(1) Find the gradient of a parallel line or:
(2) Find the gradient of a perpendicular line and:
(3) Find the distance between AB or BC or DC or:
(4) Find equation of BC or DC
(1) Find the gradient of a parallel line or:
(2) Find the gradient of a perpendicular line and:
(3) Find the distance between AB or BC or DC or:
(4) Find equation of BC or DC
The gradient is the reciprocal since m1 x m2 = -1
merit
(1) Calculate the coordinates of point C
(2) Determine the overall perimeter of the shape
(2) Determine the overall perimeter of the shape
To calculate the coordinates of point C I will first determine the equations for lines BC and DC. Solutions for the x and y coordinates will be obtained by solving both equations simultaneously.
Because the shape is symmetrical only one side need be calculated. The result then doubled.
Excellence
Covered in class.
example 2
The above component is to be laser cut from sheet metal. This is a CNC device or computer numerically controlled laser cutter.
ACHIEVED: 2 out of three methods used.
(1) Find the gradient of a parallel line or:
(2) Find the gradient of a perpendicular line and:
(3) Find the distance between AB or BC or DC or:
(4) Find equation of BC or DC
ACHIEVED: 2 out of three methods used.
(1) Find the gradient of a parallel line or:
(2) Find the gradient of a perpendicular line and:
(3) Find the distance between AB or BC or DC or:
(4) Find equation of BC or DC
For MERIT:
(1) Calculate the coordinates of point C
(2) Determine the overall perimeter of the shape
To calculate the coordinates of point C I will first determine the equations for lines BC and DC. Solutions for the x and y coordinates will be obtained by solving both equations simultaneously.
(1) Calculate the coordinates of point C
(2) Determine the overall perimeter of the shape
To calculate the coordinates of point C I will first determine the equations for lines BC and DC. Solutions for the x and y coordinates will be obtained by solving both equations simultaneously.
For EXCELLENCE:
Devise a geometry strategy to create a formula to calculate the coordinates of vertex C in terms of a and b, where point A is (0,a) and point B is (b,0).
Devise a geometry strategy to create a formula to calculate the coordinates of vertex C in terms of a and b, where point A is (0,a) and point B is (b,0).
numerical answers but with no explanations/comments
ACHIEVED: 2 out of three methods used.
(1) Find the gradient of a parallel line or:
(2) Find the gradient of a perpendicular line and:
(3) Find the distance between AB or BC or DC or:
(4) Find equation of BC or DC
(1) Find the gradient of a parallel line or:
(2) Find the gradient of a perpendicular line and:
(3) Find the distance between AB or BC or DC or:
(4) Find equation of BC or DC
The gradient is the reciprocal because m1 x m2 = -1
For MERIT:
(1) Calculate the coordinates of point C
(2) Determine the overall perimeter of the shape
To calculate the coordinates of point C I will first determine the equations for lines BC and DC. Solutions for the x and y coordinates will be obtained by solving both equations simultaneously.
(1) Calculate the coordinates of point C
(2) Determine the overall perimeter of the shape
To calculate the coordinates of point C I will first determine the equations for lines BC and DC. Solutions for the x and y coordinates will be obtained by solving both equations simultaneously.