CORE Coordinate Geometry and Transformations

91 Pages·2010·3.37 MB·English

CLASS
X
CBSE-i UNIT-6
CORE
Coordinate
Geometry
and
Transformations
CLASS
X
UNIT-6
CBSE-i
Coordinate Geometry
and
Transformations
Shiksha Kendra, 2, Community Centre, Preet Vihar, Delhi-110 092 India
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Vineet Joshi
Chairman
Advisory Conceptual Framework
Shri Vineet Joshi, Chairman, CBSE Shri G. Balasubramanian, Former Director (Acad), CBSE
Shri Shashi Bhushan, Director(Academic), CBSE Ms. Abha Adams, Consultant, Step-by-Step School, Noida
Dr. Sadhana Parashar, Head (I & R),CBSE
Ideators
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Head (I and R) E O (Com) E O (Maths) O (Science)
Shri R. P. Sharma, Consultant Ms. Ritu Narang, RO (Innovation) Ms. Sindhu Saxena, R O (Tech) Shri Al Hilal Ahmed, AEO
Ms. Seema Lakra, S O Ms. Preeti Hans, Proof Reader
1. Syllabus 1
2. Scope document 2
3. Teacher's Support Material 3
vTeacher Note 4
vActivity Skill Matrix 7
vWarm Up W1 8
Planting trees at given points
vWarm Up W2 8
Speak aloud
vPre -Content P1 9
Making shapes by joining points
vPre -Content P2 9
Recalling Pythagoras theorem
vContent Worksheet CW1 10
Distance formula
vContent Worksheet CW2 10
Application of distance formula
vContent Worksheet CW3 11
Section formula
vContent Worksheet CW4 11
Application of Section formula
vContent Worksheet CW5 12
Transformations
vPost Content Worksheet PCW1 13
vPost Content Worksheet PCW2 13
v Post Content Worksheet PCW3 13
vPost Content Worksheet PCW4 13
vPost Content Worksheet PCW5 13
vAssessment Plan
4. Study Material 14
5. Student's Support Material 40
vSW1: Warm Up (W1) 40
Planting trees at given points
vSW2: Warm Up (W2) 43
Speak aloud
vSW3: Pre Content (P1) 44
Making shapes by joining points
vSW4: Pre Content (P2) 48
Recalling Pythagoras theorem
vSW5: Content (CW1) 50
Distance formula
vSW6: Content (CW2) 52
Application of distance formula
vSW7: Content (CW3) 62
Section formula
vSW8: Content (CW4) 64
Application of section formula
vSW9: Content (CW5) 67
Transformations
vSW10 : Post Content (PCW1) 77
vSW11 : Post Content (PCW2) 78
vSW 12 : Post Content (PCW3) 80
vSW 13 : Post Content (PCW4) 80
vSW 14 : Post Content (PCW5) 81
6. Suggested Videos & Extra Readings. Videos & Extra Readings. 82
SYLLABUS
Class – X, Unit – 6 (Core)

Revisit Location of a point in plane as (x, y), representation of line as
coordinate y= m x + c, where m is gradient and c is y- intercept.
geometry
Distance Distance of a point P(x, y) from origin(0,0) as
between two OP=
points in a
P(x, y)
coordinate plane

O(0,0)

Distance formula to find distance between points A ( ) and
B( )as
AB = +( - )2

Section formula point of internal division

Transformations Translation as transformation that slides figure, translation of a
point from P(x, y)to Q(x+a, y+a),
Translation of a line,
Reflection as transformation that flips everything over, reflection
across x-axis, reflection across y- axis, reflection across the line
x=constant, reflection across the line y = constant

1
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