Month: April No. of Periods: 17 Chapter: 1 Integers CHAPTER

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