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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.