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 Euclid s Division Lemma. The Fundamental theorem of arithmetic- statements after reviewing work done earlier and after illustrating and motivating through examples. Revisiting Irrational Numbers. Proofs of results - irrationality of 2, 3, 5. Revisiting Rational Numbers and their Decimal Expansions in terms of terminating/non-terminating recurring decimals. The students will be able to understand: 1. Application of the concept of Euclid s division lemma to find the HCF of numbers. 2. A relation between the LCM, HCF and the product of numbers. 3. Whether to apply HCF or LCM in order to solve word problems based on the given information. 4. The concept of Fundamental theorem of arithmetic and solve applications based on it. 5. Proving numbers as irrational. 6. Distinguish between rational and irrational numbers by their decimal representation. 7. The values of terminating and non-terminating decimals. 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 ) Activity - Class Work Written work : Ex 1.1-1 (i), (ii), 3, 4, 5. Ex 1.2-3(i),(ii), 6, 7 Ex 1.3-2,3 (ii), (iii) Ex 1.4-1(i),(ii)(iii),(iv),(vi),(vii),(ix), 2,3 Home Work Ex 1.1 1(iii), 2 Ex 1.2 1, 4, 5
Ex 1.3-1, 3 (i) Ex 1.4 1(v), (viii), (x) Assignment Date of submission: Two days after completion of chapter To be done in: Assignment notebook Resources: NCERT EXEMPLAR class 10 Pg 3 Ex 1.1 Q 4,9 Pg 6 Ex 1.3 Q 6, 7,8,9,10,11 Pg 7 Ex 1.4 Q 3 Assessment Class test PERIOD WISE PLAN PERIOD CONTENT 1 Explanation- Introduction- The class will be started with a recap of the Number System using SLM Extra Marks. Mind map using Extra Marks will be given to introduce topics of the chapter. 2 Explanation- Euclid s Division Lemma will be explained using Extra Marks. Euclid s Division Algorithm will be stated. 3,4 Ex.1.1 Ex.1.1 will be done. C.W- Ex 1.1-1 (i), (ii), 3, 4, 5. H.W- Ex 1.1 1(iii), 2 5,6 Explanation- Fundamental Theorem Of Arithmetic- The fundamental theorem of Arithmetic will be explained with examples. Ex 1.2- Ex 1.2 will be done. C.W- Ex 1.2-3(i),(ii), 6, 7 H.W- Ex 1.2 1, 4, 5 7 Explanation- Revisiting Irrational Numbers - Irrational numbers and their different properties will be taught. Theorem-
Prove 2 is irrational. Proving numbers as irrational will be explained. 8 Ex1.3- Ex.1.3 will be done. C.W- Ex 1.3-2,3 (ii), (iii) H.W. - Ex 1.3-1, 3 (i) 9 Explanation- Revisiting Rational Numbers and Their Decimal Expansions- Without actually performing the long division, students will be taught to identify terminating or non-terminating repeating decimals. Ex.1.4 Ex1.4will be done. C.W- Ex 1.4-1(i),(ii)(iii),(iv),(vi),(vii),(ix), 2,3 H.W- Ex 1.4 1(v), (viii), (x) 10 Extra Questions from NCERT EXEMPLAR class 10. Ex 1.1 Q 7, 10 Ex 1.3 Q 6, 8 Ex 1.4 Q 3 11 Class Test 12 Gap Task Class: X Month: April No of Periods: 12 TTT: 4 Periods WT: 8 Periods Chapter :-2 Chapter s Name: POLYNOMIALS Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients. Learning Objectives The students will be able to understand: The definition of polynomials and their degree. The terms and coefficients in an algebraic expression. The value of a polynomial and the zeros of the polynomials. The relationship between zeros and coefficients of a polynomial.
The graph of the zeros of a polynomial. The division algorithm theorem for polynomials. 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 ) Activity - Class Work Written work : Ex 2.2 1((iii), (iv), (v), 2 (i), (iii), (iv) Ex 2.3 1(ii),(iii),2(i),(ii),3,4 Ex 2.4 2,3,4,5 Home Work Ex 2.1 1 Ex 2.2 1(i),(ii), (vi), 2(ii), (v),(vi) Ex 2.3 1(i),2 (iii) Ex 2.4 1 Assignment Date of submission: Two days after completion of chapter To be done in: Assignment notebook Resources: NCERT EXEMPLAR class 10 Pg 9 Ex2.1 Q5,7,9 Pg 13 Ex 2.3 Q 5,6,7,9,10 Pg 15 Ex 2.4 Q 3,5 Assessment Class test PERIOD WISE PLAN PERIOD CONTENT 1,2 Explanation- Introduction- The class will be started with a recap of what are polynomials in one variable. Type of polynomials in one variable on bases ofdegree, number of terms. Mind map using Extra Marks will be given to introduce topics of the chapter. The concept of zero of polynomials will be explained using SLM Extra Marks. 3 Explanation- Geometrical meaning of the zeroes of a polynomial- Different graphs will be made to explain the meaning of the zeroes geometrically. H.W : Ex2.1-
4 Explanation- Relationship between Zeroes and Coefficients of a Polynomial- Relationship between Zeroes and Coefficients of a Quadratic Polynomial, sum of the zeroes, product of the zeroes and framing a polynomial with the sum and product will be taught. Ex2.2- Ex2.2 will be done. C.W Ex 2.2 1((iii), (iv), (v), 2 (i), (iii), (iv) H.W Ex 2.2 1(i),(ii), (vi), 2(ii), (v),(vi) 5 Explanation- Relationship between Zeroes and Coefficients of a Cubic Polynomial, sum of the zeroes, product of the zeroes and framing a polynomial with the sum and product will be taught. Ex2.4- C.W-Ex 2.4 Question 2 will be done. 6-7 Explanation- Division Algorithm for Polynomial- The long division of polynomial will be explained. The division algorithm for Polynomials will be taught. Ex2.3 Ex2.3 will be done. C.W- Ex 2.3 1(ii),(iii),2(i),(ii),3,4 H.W - Ex 2.3 1(i),2 (iii) 8 Ex 2.4- C.W-Ex 2.4 Question 3, 4 and 5 will be done. 9-10 Extra Questions from NCERT EXEMPLAR class 10. Pg 9 Ex2.1 Q6,8,10 Pg 14 Ex 2.4 Q 1,2,4 11 Class test 12 Gap Task