CORE Coordinate Geometry and Transformations - New Indian ...

SCOPE DOCUMENT
Key concepts/terms:
Distance formula
Section formula
Translation
Reflection
Learning Objectives: -The students will be able to
Locate a point (x, y) in Cartesian plane.
Determine whether the given point lies on the line y = mx + c
Draw the line y = mx + c in Cartesian plane by determining the points on the line
can tell the gradient / slope of given line, its x or y intercept, its point of intersection
with x – axis or y – axis.
Can find the distance between two points in a cartesian plane using distance
formula.
Determine the point of internal division of line.
Describe transformation of a figure on plane as movement of a figure in place when
all points lie on figure change their coordinates in the same manner.
Understand translation as transformation that slides figure in let or right, up or
down and can also write it with proper notation.
Understand reflection across x-axis or y-axis line x=const. and y = const and can also
write point of reflection across axis of symmetry in right notation.
Cross-Curricular Link :
1. A coordinate system is setup to that (o, o) is the cantre of the sun (67,499,999,
67,512,000) the centre of the earth and (67,600,000, 62,728,916) the centre of the
moon, If all distance are in miles, find the distance from the centre of earth and
the distance from the center of the earth to the center of the moon.
2. During a total solar eclipse, the centre of the sun, moon and with earth are
collinear and the moon is located between the sun and the earth. Using the
distances from above statement, give the coordinate of the centers of the moon
and earth during a total solar eclipse if the sun is placed at the origin and the
moon and earth are placed on the positive x-axis,
2