Download Maths - Bloom Public School

BLOOM PUBLIC SCHOOL
Vasant Kunj , New Delhi
Lesson Plan
Class : IX
Subject: MATHEMATICS
Month : JUNE/ JULY
Chapter: LINES AND ANGLES
TTT: 2 pds
Chapter
LINES AND
ANGLES
Learning
Objectives
No of Periods: 16
WT: 14 pds
• (Motivate) If a ray stands on a line, then the sum of the two
adjacent angles so formed is 180°and the converse.
• (Prove) If two lines intersect, vertically opposite angles are
equal.
• (Motivate)Results on corresponding angles, alternate
angles, interior angles when a transversal intersect on the
parallel line.
• (Motivate)Lines which are parallel to a given line are
parallel.
• (Prove) The sum of the angles of a triangle is 180°.
• (Motivate)If a side of a triangle produced, the exterior
angle so formed is equal to the sum of the two interior
angle.
The students will be able to use Axioms and Theorems
• Linear pair axiom.
• Vertically opposite angles are equal.
• Intersection of transversal at two parallel lines and pair of
corresponding lines is equal
• Lines which are parallel to given line are parallel to each
other.
• Sum of all the angles of a triangle are 180°
to solve geometrical problems
Resources
Extramarks
Prescribed Text Book-NCERT
NCERT Exemplar (Assignment)
Extra questions : Reference book (R.D Sharma)
Activities
Lab Activity 12: Angle Sum property of a triangle is 180°.
Class Work
ORAL: Teacher will explain the basic terms and definitions of a line
segment and angles. Explanation of collinear and non-collinear
points. Concept of parallel lines and its properties
WRITTEN: Axiom 6.1,Axiom 6.2,Theorem 6.1,Theorem 6.2, Theorem
6.3,Theorem6.4, Theorem 6.5,Theorem 6.6,Thearem 6.7,Thearem 6.8
Home Work
Ex 6.1 Q.1,3,4,5
Ex 6.2 Q.1,2,3,4,6
Ex 6.3 Q.1,2,4,5,6
Questions: Ex 6.1 Q. 2,6
Ex 6.2 Q.5
Ex 6.3 Q.3
Worksheets : ( enclosed at the end)
Assessment
Period wise
plan
1
2,3
Class Test
cc
Teacher starts basic terms and definitions of line. Explanation of
collinear and non collinear pts. Different type of angles like acute
angle, right angle, obtuse angle and reflex angle. Linear pair of
angles and vertically opposite angles is also explained. Axiom 6.1
and 6.2 is explained and theorem 6.1 is explained.
Than teacher starts the exercise.
C.W. Ex-6.1 Q-1,3,4,5
H.W. Ex-6.2 Q-2 ,6
4, 5,6
Than we start with the concept of Parallel lines and transversal.
Concept of corresponding angles, alternate interior angle, alternate
exterior angle and interior angles on same side of transversal is
taught using extra marks. Axiom 6.3 and 6.4 is explained. Theorem
6.2, 6.3, 6.4, 6.5 and 6.6 is also explained.
C.W. Ex-6.2 Q-1, 2, 3,4,6
H.W. Ex-6.2 Q-5
7,8
9,10,11
12,13
14
15,16
Lab Activity :Angle Sum Property of a triangle is 180°.
Angle sum Property of a triangle is taught using Theorem 6.7
Theorem 6.8 is also explained using examples.
C.W. Ex-6.3 Q-1,2,4,5,6
H.W. Ex -6.3 Q-3
Extra Questions from R.D.Sharma
Class Test.
Gap Task
BLOOM PUBLIC SCHOOL
Vasant Kunj , New Delhi
Lesson Plan
Class : IX
Subject: MATHEMATICS
Month: JULY /AUGUST
Chapter: TRIANGLES
TTT: 3 pds
Chapter
TRIANGLES
Learning
Objectives
No of Periods:20
WT: 17 pds
• (Motivate) Two Triangles are congruent if any two sides
and the included angle of triangle is equal to and the
included angle of other triangle.(SAS Congruence)
• (Prove) Two triangles are congruent if two angles and
included side of a triangle are equal to two angles and
included side of other triangle.(ASA Congruence)
• (Motivate) If three sides of a triangle are equal to three
sides of another triangle.
• (Motivate) Two right angles are congruent if hypotenuse
and a side of a triangle is equal to hypotenuse and
respective side if other triangle.
• (Prove) Angle opposite to equal sides of a triangle are
equal.
• (Motivate) The sides opposite to equal angles of a triangle
are equal.
• (Motivate) Triangle inequalities and relation between
angles and facing side inequalities in triangles.
The students will be able use
• Concept of congruence of triangles.
• Axiom 7.1 (SAS Congruence Rule)
• Theorem 7.1 (ASA Congruence Rule)
• AAS Congruence Rule.
• Theorem 7.2 which states that opposite sides of a isosceles
triangle is equal.
• Theorem 7.3 which states that sides opposite to equal
angles are equal.
• Theorem 7.4 about SSS Congruence.
• Theorem 7.5 about RHS Congruence.
• Inequalities in triangle.
• Theorem 7.6 which states that if two triangles are unequal
the angle opposite to longer side is larger.
• Theorem 7.7 which states side opposite to larger angle is
greater.
• Theorem 7.8 which states that sum of any two sides of a
triangle is greater than the third side.
To solve geometrical problems.
Resources
Extra marks
Prescribed Text Book-NCERT
Reference book (R.D Sharma)
NCERT Exemplar (Assignment)
Activities
Lab Activity – To verify experimentally that in a given triangle the longer
side has the greater angle opposite to it.
Class Work
ORAL: Teacher will explain the basic terms and definitions of a
triangle. Concept of congruent figure using real life examples.
Congruence of Triangles is also explained.
WRITTEN: Axiom 7.1,Theorem 7.1, Theorem 7.2, Theorem
7.3,Theorem7.4, Theorem 7.5,Theorem 7.6,Thearem 7.7,Thearem 7.8
Home Work
Ex 7.1 Q.1,3,4,5,7,8
Ex 7.2 Q.1,2,3,4,7,8
Ex 7.3 Q.1,2,3,4,5
Ex 7.4 Q.1,2,4,5,6
Questions: Ex 7.1 Q. 2,6
Ex 7.2 Q.5,6
Ex 7.4 Q.3
Worksheets : ( enclosed at the end)
Assessment
Class Test
Period wise plan
1
Teacher starts the chapter with basic concepts of congruence.
Criteria for congruence of triangles. Axiom 7.1 states the SAS
congruence. Than teacher explains Theorem 7.1 ASA congruence
rule. Concept of AAS congruence is also explained.
2, 3
C.W. Ex-7.1 Q-1,3,4 ,5,7,8
H.W. Ex-7.1 Q-2,6
4,5,6
Than we start with some properties of isosceles triangle with the
help of following theorem.
Theorem 7.2 which states that opposite sides of a isosceles
triangle is equal.
Theorem 7.3 which states that sides opposite to equal angles are
also equal.
C.W. Ex-7.2 Q-1, 2, 3,4,7,8
H.W. Ex-7.2 Q-5,6
7 ,8,9
Than some other criteria for congruence of triangles is taken.
Theorems are also explained.
Theorem 7.4 about SSS Congruence.
Theorem 7.5 about RHS Congruence.
C.W. Ex-7.3 Q-1,2,3,4,5
10,11
12,13,14,15
Lab Activity – To verify experimentally that in a given triangle the
longer side has the greater angle opposite to it.
Some other properties of triangle regarding inequalities of
triangle are explained using the theorems.
Theorem 7.6 which states that if two triangles are unequal the
angle opposite to longer side is larger.
Theorem 7.7 which states side opposite to larger angle is greater.
Theorem 7.8 which states that sum of any two sides of a triangle
is greater than the third side.
C.W. Ex-7.4 Q-1,2,4,5,6
H.W. Ex-7.4 Q-3
16,17
18
19,20
Extra Questions from R.D.Sharma.
Class Test
Gap task. All the theorems are revised using extra marks A V
Module.