Chapter-: 3. Learning Objectives

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1 BLOOM PUBLIC SCHOOL Vasant Kunj, New Delhi Lesson Plan Subject: MATHEMATICS Class: X Month: May No of Periods: 31 Chapter 3: PAIR OF LINEAR EQUATIONS IN TWO VARIABLES TTT:5 Periods WT:26Periods Chapter-: 3 Chapter s Name :PAIR OF LINEAR EQUATIONS IN TWO VARIABLES Pair of linear equations in two variables and their graphical solution. Geometric representation of different possibilities of solutions/inconsistency. Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically - by substitution, by elimination and by cross multiplication method. Simple situational problems must be included. Simple problems on equations reducible to linear equations. Learning Objectives The students will be able to understand Definition of pair of linear equation in two variables Expressing linear equation in two variables in their standard form. The graphical and the algebraic method of representing the linear equations. About consistent, inconsistent and dependent linear equations. Resources Main Book Name :NCERT (used for Q/A and class test) Reference book Name :NCERT Exemplar (used for extra Q/A, Assignment and class test ) Extra Marks (Mind map and SLM ) Comprehensive Lab Activity File( used for activity) Activity Class Work Lab Activity To obtain the Condition for Consistency of system of Linear Equations in Two Variables by graphical method. (Act-1) ORAL: Recap of equations using Extra Marks. Concept of consistent, inconsistent and dependent linear equations will

2 be explained. Ex 3.7-1,2,3,4,5, 8(equations will be formed ) Written : Ex3.1-1,2,3 Ex3.2-1(i),(ii),2(i),(ii),(iii),3(i),(ii),(iii),4(i),(ii),(iii),5,6,7 Ex 3.3-1(i),(ii),(iv),(v),( vi),2,3(i) (vi) Ex 3.4 1(i),(iii),(iv),2 (i) (v) Ex 3.5 1(i)-(iv), 2 (i),(ii),3,4(i) (v) Ex 3.6-1(i),(ii), (iv) (vi),(viii),2(i)-(iii) Ex 3.7 7(i)-(v) Home Work Ex3.2-3(iv),(v),4(iv) Ex 3.3-1(iii) Ex 3.4 1(ii) Ex 3.6-1(iii),(vii) Ex 3.7-6, 1,2,3,4,5, 8( asked to find answer) Assignment Date of submission: Two days after completion of chapter To be done in: Assignment notebook Resources: NCERT EXEMPLAR class 10 Pg:19 Ex 3.1 Q 9,10,11 Pg:25 Ex 3.3 Q 1,3 Pg:26 Ex 3.3 Q 6,7 Pg:33 Ex 3.4 Q 1,7,13 Assessment Class Test PERIOD WISE PLAN PERIOD CONTENT 1 Explanation- Introduction- The class will start with a recap of the Equations and examples. Mind map using Extra Marks will be give to introduce topics of the chapter. The concepts will be cleared with Extra Marks(SLM). 2 Explanation- Pair of Linear Equations in Two Variables- The concept of standard form of equation and their formation will be explained. Ex 3.1- Ex3.1will be done. C.W- Ex3.1-1,2,3

3 3,4 Explanation- Graphical Method of Solution of a Pair of Linear Equations- Concept of consistent, inconsistent and dependent linear equations will be explained. 5-8 Ex3.2- Ex 3.2 will be done. C.W- Ex3.2-1(i),(ii),2(i),(ii),(iii),3(i),(ii),(iii),4(i),(ii),(iii), 5,6,7 H.W - Ex3.2-3(iv),(v),4(iv) 9,10 Lab Activity To obtain the Condition for Consistency of system of Linear Equations in Two Variables by graphical method. (Act-1) Materials required- 3 graph papers, ruler, pencil Explanation- Algebraic Method of Solving a Pair of Linear Equation- The Substitution Method will be explained. Ex3.3 Ex 3.3 will be done. C.W- Ex 3.3-1(i),(ii),(iv),(v),( vi),2,3(i) (vi) H.W- Ex 3.3-1(iii) Explanation- Algebraic Method of Solving a Pair of Linear Equation- The Elimination Method will be explained. Ex3.4 Ex 3.4 will be done. C.W- Ex 3.4 1(i),(iii),(iv),2 (i) (v) H.W- Ex 3.4 1(ii) Explanation- Algebraic Method of Solving a Pair of Linear Equation- The Cross Multiplication Method will be explained. Ex3.5- Ex 3.5 will be done. C.W- Ex 3.5 1(i)-(iv), 2 (i),(ii),3,4(i) (v) Explanation- Equations Reducible to a Pair of Linear Equations in Two Variables- Topic will be explained. Ex3.6 Ex 3.6 will be done. C.W- Ex 3.6-1(i),(ii), (iv) (vi),(viii),2(i)-(iii) H.W - x 3.6-1(iii),(vii) Ex3.7- Ex3.7 will be done. Ex 3.7-1,2,3,4,5, 8(equations will be

4 formed ) C.W- Ex 3.7 7(i)-(v) H.W Ex 3.7-6, 1,2,3,4,5, 8( asked to find answer) Extra Questions from NCERT EXEMPLAR class 10. Pg 26 Ex 3.3-Q5,10,12,14,21 Pg 34 Ex 3.4 Q12 30 Class test 31 Gap task

BLOOM PUBLIC SCHOOL Vasant Kunj, New Delhi Lesson Plan Subject: MATHEMATICS Class: X Month: May/July Chapter4: QUADRATIC EQUATIONS TTT:3 Periods ds Chapter-:4 Chapter s Name : QUADRATIC EQUATIONS No

5 BLOOM PUBLIC SCHOOL Vasant Kunj, New Delhi Lesson Plan Subject: MATHEMATICS Class: X Month: May/July Chapter4: QUADRATIC EQUATIONS TTT:3 Periods ds Chapter-:4 Chapter s Name : QUADRATIC EQUATIONS No of Periods:17 WT:14Perio Standard form of a quadratic equation ax 2 +bx+c=0, (a 0). Solution of the quadratic equations (only real roots) by factorization, by completing the square and by using quadratic formula. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day to day activities to be incorporated. Learning Objectives Students will be able to understand Quadratic equation in Standard form. Solving quadratic equation by factorization, by completing the square and by using quadratic formula. The nature of roots. The various word problems. Resources Main Book Name :NCERT (used for Q/A and class test) Reference book Name :NCERT Exemplar (used for extra Q/A, Assignment and class test ) Extra Marks (SLM ) Mind map by teacher Activity - Class Work Home Work ORAL: Recap of type of polynomials and concept of quadratic equations using Extra Marks(SLM) Written : Ex4.1- Q1(i),(iii),(v)-(vii),2(i)-(iv) Ex4.2- Q1,3,4,5,6 Ex4.3-Q1(i)-(iv),2(i)-(iv),3(i),(ii),4,5,6,7,8,9,10,11 Ex4.4-Q1(i)-(iii),2(i),(ii),3,4,5 Ex4.1- Q1(ii),(iv),(viii) Ex4.2-Q2 Assignment

6 Date of submission: Two days after completion of chapter To be done in: Assignment notebook Resources: NCERT EXEMPLAR class 10 Pg.:36 Ex 4.1 Q1,6,8,11 Pg.:40 Ex 4.3 Q2 iii,iv,v Pg.:42 Ex 4.4 Q3,4,5 Assessment Class Test PERIOD WISE PLAN PERIOD CONTENT 1,2 Explanation- Introduction- The class will start with recap of type of polynomials. Mind map will be give to introduce topics of the chapter. The concept of Quadratic Equations will be explained with help of Extra Marks(SLM) Standard form of a Quadratic Equation will be given. 3,4 Ex4.1 C.W-Q1(i),(iii),(v)-(vii),2(i)-(iv) H.W-Q1(ii),(iv),(viii) 5,6 Explanation- Solution of a Quadratic Equations by Factorization- Recap of the method will be done in class. Ex4.2 C.W-Q1,3,4,5,6 H.W-Q2 7,8 Explanation- Solution of a Quadratic Equations by Completing the Square- Will be explained with the help of examples. Ex4.3 C.W-Q1(i)-(iv) 9-11 Explanation- Solution of a Quadratic Equations by Quadratic Formula- The formula will be given. Ex4.3 C.W-Q2(i)-(iv),3(i),(ii),4,5,6,7,8,9,10, Explanation- Nature of the Roots- Will be explained with the help of examples. Ex4.4 C.W-Q1(i)-(iii),2(i)-(ii),3,4, Extra Questions from NCERT EXEMPLAR class 10.

7 16 Class Test 17 Gap task Pg 42 Ex4.4-Q1iv,v,2,6,7,8

BLOOM PUBLIC SCHOOL Vasant Kunj, New Delhi Lesson Plan Subject: MATHEMATICS Class: X. Month: April No of Periods: 12 TTT: 4 Periods WT: 8 Periods

BLOOM PUBLIC SCHOOL Vasant Kunj, New Delhi Lesson Plan Subject: MATHEMATICS Class: X Month: April No of Periods: 12 TTT: 4 Periods WT: 8 Periods Chapter-: 1 Learning Objectives Chapter s Name :REAL NUMBERS