BLOOM PUBLIC SCHOOL Vasant Kunj, New Delhi Lesson Plan Subject: MATHEMATICS Class: VII Month: April No. of Periods: 17 Chapter: 1 Integers TTT: 7 WT: 10 CHAPTER Integers Learning Objectives The students will be able to understand Activity 1. the concept of integers 2. properties of Addition and Subtraction of integers 3. multiplication of integers and its properties 4. division of integers and its properties 1. NCERT Mathematics Textbook (e-book) 2. Extramarks: SLM: Integers 3. Mind map (Self - created) 4. NCERT Exemplar Ex 1.1 Q10 pg 5 Assignment CW/HW- Ex 1.1 Q1-6 pg 4 Resources Ex 1.2 Q 1-4 pg 9 Ex 1.3 Q 1- 9 pg 21, 22 Ex 1.4 Q1-7 pg 26 Home work NCERT Exemplar Unit 1 Integers: Ex C Q1 to Q 25 pg 8-11 Assessment Class test Period wise plan Period 1 CW- Bridge course Written: CW/HW: Worksheet 1 Period 2 CW- Bridge course Written: CW/HW: Worksheet 2 Period 3 CW- Bridge course Written: CW/HW: Worksheet 2 Period 4 CW- Oral: Introduction: Integers: Number line, Additive inverse Extramarks: SLM: Integers Written: CW/HW: Mind map 1, 2 CW/HW: Ex 1.1 Q1, 2 pg 4 Period 5 CW- Application based questions on addition and subtraction of integers Written: CW/HW: Ex 1.1 Q3, 4, 5, 6 pg 4 Period 6 CW- Application based questions on integers Written: CW/HW: Ex 1.1 Q7, 8, 9, 10 pg 5 Period 7 CW- Activity: Written: CW/HW: Ex 1.1 Q10 pg 5 Period 8 CW- Oral: Properties of Addition & Subtraction of integers Written: CW/HW: Ex 1.2 Q1, 2, 3, 4 pg 9 Period 9 CW- Oral: Multiplication of Integers: Multiplication of a positive and a negative integer, multiplication of two negative integers, Product of three or more negative numbers Written: CW/HW: Ex 1.3 Q1(a-j) pg 21 Period 10 CW- Properties of Multiplication of Integers: Closure under multiplication, Commutative, multiplication by zero, multiplicative identity, Associative, Distributive property Written: CW/HW: Ex 1.3 Q4,5,6 pg 21 Period 11 CW- Multiplication of Integers: Application based questions Written: CW/HW: Ex 1.3 Q7,8,9 pg 21, 22 Period 12 CW- Oral: Division of integers, Properties of division of integers Written: CW/HW: Ex 1.4 Q1, 2 pg 26 Period 13 CW- Division of integers, Properties of division of integers Written: CW/HW: Ex 1.4 Q3, 4, 5 pg 26 Period 14 CW- Division of integers: Application based questions Written: CW/HW: Ex 1.4 Q6, 7 pg 26 Period 15 Revision: Written: CW/HW: Mind map 3, 4 HW: NCERT Exemplar Unit 1 Integers: Ex C Q1 to Q 25 pg 8-11 Period 16 Class test Period 17 Gap task Bridge course worksheet 1 Q1) Arrange the following numbers in descending order: 8435, 4835, 13584, 5348, 25843 Q2) Write in expanded form : (a) 74836 (b) 574021 (c) 8907010 Q3) Choose the correct option i) One million is equal to (A) 1 lakh (B) 10 lakh (C) 1 crore (D) 10 crore ii) If 1 is added to the greatest 7- digit number, it will be equal to (A) 10 thousand (B) 1 lakh (C) 10 lakh (D) 1 crore iii) When rounded off to nearest thousands, the number 85642 is (A) 85600 (B) 85700 (C) 85000 (D) 86000 iv) In Indian System of Numeration, the number 58695376 is written as (A) 58,69, 53, 76 (B) 58,695,376 (C) 5,86,95,376 (D) 586,95,376 v) Which of the following is not defined? (A) 5 + 0 (B) 5 – 0 (C) 5 × 0 (D) 5 ÷ 0 Q4) Using divisibility tests, determine which of the following numbers are divisible by 11; by 3; by 8: a) 7221 b) 61809 c) 726352 d) 308 Q5) Chinmay had Rs 610000. He gave Rs 87500 to Jyoti, Rs 126380 to Javed and Rs 350000 to John. How much money was left with him? Q6) Fill in the blanks: i) The number 66 in Roman numerals is_____. ii) The smallest whole number is_____. iii) Successor of 106159 is _____. iv) Predecessor of 100000 is_____. v) 2395 × _____ = 6195 × 2395 vi) 1001 × 2002 = 1001 × (1001+_____) vii) 10001 × 0 = _____ viii) 2 is the only _____ number which is even. ix) 9128 × _____ = 9128 x) 125 + (68+17) = (125 + _____) + 17 Q7) Find the product 8739 × 102 using distributive property. Q8) Find the prime factorization of 980. Q9) Find the LCM of 12, 16, 24 and 36. Q10) A merchant has 120 litres of oil of one kind, 180 litres of another kind and 240 litres of a third kind. He wants to sell the oil by filling the three kinds of oil in tins of equal capacity. What should be the greatest capacity of such a tin? Bridge course worksheet 2 Q1) Choose the correct option: i) Every integer less than 0 has the sign (A) + (B) – (C) × (D) ÷ ii) The predecessor of the integer –1 is (A) 0 (B) 2 (C) –2 (D) 1 iii) The additive inverse of a negative integer (A) is always negative (C) is the same integer (B) is always positive (D) zero iv) Amulya and Amar visited two places M and N respectively in Kashmir and recorded the minimum temperatures on a particular day as –4°C at M and –1°C at N. Which of the following statement is true? (A) M is cooler than N (B) N is cooler than M (C) There is a difference of 2°C in the temperature (D) The temperature at M is 4°C higher than that at N. Q2) Observe the following : 1 + 2 – 3 + 4 + 5 – 6 – 7 + 8 – 9 = –5 Change one ‘–’ sign as ‘+’ sign to get the sum 9. Q3) Arrange the following integers in the ascending order : –2, 1, 0, –3, +4, –5 Q4) Using the number line, write the integer which is (a) 4 more than –5 (b) 2 less than –2 Q5) Match the items of Column I with that of Column II: Column I Column II (i) The additive inverse of +2 (A) 0 (ii) The greatest negative integer (B) –2 (iii) The greatest negative even integer (C) 2 (iv) The smallest integer greater than every negative integer (D) 1 (v) Sum of predecessor and successor of –1 (E) –1 Q6) Find the value of 49 – (–40) – (–3) + 69 Q7) Simplify: 8 1/4 – 2 5/6 Q8) Sam bought 2/5 metre of ribbon and John 3/4 metre of ribbon. What is the total length of the ribbon they bought? Q9) Find the sum: a) 25.65 + 9.005 + 3.7 b) 0.007 + 8.5 + 30.08 Q10) Subtract: a) 0.314 kg from 2.107 kg b) 6.28 from 9.756 MIND MAP (CH-1 INTEGERS) INTEGERS The set of whole numbers along with the negative numbers is called integers Negative Eg: -6,-7,-8.......... Positive Eg: 6,7,8,9,10...... MIND MAP 1 Addition of Integers Integers with same sign Add the numbers and then put the sign Eg: 5+ 5 = 10 5 5 = 10 Integers with different sign Subtract the numbers and then put the sign of greater number Eg: 5 + 10= 5 5+( 10) = 5 MINDMAP 2 Properties of Addition For any integers a,b & c CLOSURE a+ b is an integer COMMUTATIVE a+b=b+a Eg: 10 + 2 = 2+ 10 ASSOCIATIVE a + (b+c) = (a+b) + c Eg: (-5) +(2+3) = (-5+2) +3 ADDITIVE IDENTITY a+0=a Eg: 12 + 0 = 12 MINDMAP 3 Multiplication of integers positive × negative Eg: (-2) × 3 = (- 6) negative × negative three or more negative integers 5 × (-2) = (-10) Eg: (-11) × (-2) = 22 (-1) × (-1) × (-1) = (-1) (-1) ×(-1) ×(-1) × (-1) = 1 MINDMAP 4 BLOOM PUBLIC SCHOOL Vasant Kunj, New Delhi Lesson Plan Subject: MATHEMATICS Class: VII Month: April No. of Periods: 18 Chapter:2 Fractions and Decimals TTT: 7 CHAPTER WT: 11 Fractions and Decimals Learning Objectives The students will learn about: Resources 1. NCERT Mathematics Textbook (e-book) 2. Extramarks: SLM: Fractions and Decimals 3. Mind map (Self-created) 4. NCERT Maths lab manual grade 7( Activity 1) 5. NCERT Exemplar Aim: To represent the products of decimal numbers such as Activity 1. Addition and subtraction of fractions and decimals. 2. Multiplication of fractions and decimals. 3. Division of fractions and decimals. (i) 0.7 × 0.7 Assignment (ii) 0.5 × 0.5 CW/HW- Ex 2.1 Q1-8 pg 31, 32 Ex 2.2 Q 1-8 pg 36, 37 Ex 2.3 Q 1-8 pg 41, 42 Ex 2.4 Q 1-4 pg 46 Ex 2.5 Q 1-9 pg 47, 48 Ex 2.6 Q 1-5 pg 52 Ex 2.7 Q 1-6 pg 55 Home work Assessment NCERT Exemplar Unit 2 Fractions and decimals: Ex C Q1 to 20 pg 38-41 Class test Period wise plan Period 1 CW- Oral: Introduction: Proper, improper and mixed fractions. Extramarks: SLM: Fractions and Decimals Application based questions on addition and subtraction of fractions. Written: CW/HW: Ex 2.1 Q1,2, 3,4 pg 31 Period 2 CW- Application based questions on addition and subtraction of fractions. Written: CW/HW: Ex 2.1 Q5, 6, 7, 8 pg 31, 32 Period 3 CW- Multiplication of fractions: Multiplication of a fraction by a whole number, Written: CW/HW: Ex 2.2 Q1, 2, 3, 4 pg 36,37 Period 4 CW- Concept of fraction as an operator ‘of’ Written: CW/HW: Ex 2.2 Q 5,6,7,8 pg 37 Period 5 CW- Multiplication of a fraction by a fraction Written: CW/HW: Ex 2.3 Q1,2,3 pg 42 Period 6 CW- Multiplication of a fraction by a fraction, Value of the products Written: CW/HW: Ex 2.3 Q4,5,6, 7, 8 pg 42 Period 7 CW- Division of Fractions: Division of whole number by a fraction, Reciprocal of a fraction, Division of a fraction by a whole number, Division of a fraction by another fraction Written: CW/HW: Ex 2.4 Q1,2 pg 46 Period 8 CW- Division of Fractions: Reciprocal of a fraction Written: CW/HW: Ex 2.4 Q3,4 pg 46 Period 9 CW- Decimal Numbers. Written: CW/HW: Ex 2.5 Q1,2,3, 4 pg 47 Period 10 CW- Decimal Numbers. Written: CW/HW: Ex 2.5 Q 5,6,7,8, 9 pg 48 Period 11 CW- Multiplication of Decimal Numbers. Written: CW/HW: Ex 2.6 Q1(i-vii), 2 pg 52 Period 12 CW- Multiplication of Decimal Numbers by 10, 100 and 1000 Written: CW/HW: Ex 2.6 Q3(i-xii), 4, 5 pg 52 Period 13 CW- Division of decimal numbers: Division by 10, 100 and 1000, Division of a decimal number by a whole number, Division of a decimal number by another decimal number Written: CW/HW: Ex 2.7 Q1(i-viii), 2(i-vii), 3(i-vi) pg 55 Period 14 CW- Division of decimal numbers: Division by 10, 100 and 1000, Division of a decimal number by a whole number, Division of a decimal number by another decimal number Written: CW/HW: Ex 2.7 Q4(i-v), 5(i-ix), 6 pg 55 Period 15 CW- Activity Written: CW/HW: Aim: To represent the products of decimal numbers such as (i) 0.7 × 0.7 (ii) 0.5 × 0.5 Period 16 Period 17 Revision: Mind map 1, 2 HW: NCERT Exemplar Unit 2 Fractions and decimals: Ex C Q1 to 20 pg 38-41 Class test Period 18 Gap task MIND MAP (CH- 2 FRACTIONS AND DECIMALS) Multiplication of Fractions 'of' represents multiplication by a whole Eg: ×3= Multiply the whole no. with the numerator of the fraction, keep the denominator same MIND MAP 1 by a fraction Eg: × = ! "#!$ % Multiplication of decimal numbers by another decimal number multiply as whole numbers and then put the decimal point from the rightmost digit by 10, 100 and 1000 shift the decimal point in the product to the right by as many of places as there are zeros over one Eg: 1.76 × 10 = 17.6 Eg: 0. 7 × 0.5 = 0.35 1.76 × 100 = 176 1.76 × 1000 = 1760 MIND MAP 2 Q5) Match the items of Column I with that of Column II: Column I Column II (i) The additive inverse of +2 (A) 0 (ii) The greatest negative integer (B) –2 (iii) The greatest negative even integer (iv) The smallest integer greater than every negative integer (C) 2 (v) Sum of predecessor and successor of –1 (E) –1 (D) 1 Q6) Find the value of 49 – (–40) – (–3) + 69 Q7) Simplify: 8 Q8) Sam bought –2 & ( ( metre of ribbon and John ribbon they bought? Q9) Find the sum: a) 25.65 + 9.005 + 3.7 b) 0.007 + 8.5 + 30.08 Q10) Subtract: a) 0.314 kg from 2.107 kg b) 6.28 from 9.756 & metre of ribbon. What is the total length of the
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