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\ 18-Aug-2025 Surender Prajapati Proof-6 Reader’s Sign _______________________ Date __________
Features oF the Book
GET READY!
Sneha and her family are sitting in a living room spending quality time.
Papa! I want to distribute That's great!
some stationery items to an
orphanage on my birthday.
1
Integers
Learning Objectives
After studying this chapter, students will be able to...
Scan to learn
recall the concept of integers and addition and subtraction of integers and their properties
What is this, and
understand the multiplication of integers and their properties
understand the division of integers and their properties
why are we using
‘x’ in math?
You should buy some notebooks and 8 more
Learning Objectives—at the pencils than the double of notebooks. Suppose, if
GET READY!
beginning of each chapter to you buy ‘x’ notebooks, then you should buy
(2x + 8) pencils to distribute.
set the goals of study. Get Ready—for
On Environment Day, a school has decided to show the documentary film 'Life Below Water' to its students.
Oceans are our planet's life support
as they provide water and food and
help regulate the weather. So, we quick and easy
should not pollute our oceans.
recapitulation
through Maths talk. Get it Right—
Think and Answer— for avoiding the Get it right!
Do you know? interspersed within the common errors (–1) 51 × (–1) 49 = (–1) 51 × 49
of the ocean? text for checking the Ruhi! How deep can a by learners 3 5 × 5 3 = 3 5 + 3
The deepest part committed (–1) 51 × (–1) 49 = (–1) 51 + 49 = (–1) 100
It is around 36089 ft or 11 km
understanding of the we represent it in an integer? while doing 3 5 × 2 5 = 2 5 + 5
human go in the ocean? Can
deep from the sea level. We can
write it in integers as –36089 ft.
concept learnt in the calculations. 3 5 × 3 6 = 3 5 + 6
class.
Yes, my father told me
once ‘The Challenger Deep’
at the Marina Trench is the
deepest part of the ocean. Brain Sizzlers
(a) The net given below in the given figure can be used to make a cube.
Think and Answer (ii) Which edge meets DE?
(i) Which edge meets AN? I H
Can you identify the name of related
L K J G
angle formed between the angles
7 N M
Brain Sizzlers—
south-east to south-west and south- B D E F 4 3
west to north-west? Name it. A C 5 6
to focus on 21st (b) Two dice are placed side by side as shown, can you determine the total of the numbers
North opposite to (i) 5 + 6 (ii) 4 + 3
North-West
North-East Century skills in
West teaching, learning
East
and assessment.
South-West South-East
South
Knowledge Desk—
includes additional
interesting information/ Knowledge Desk
facts based on the
Activity—to engage children in topics discussed ‘Statistics’ is a branch of mathematics
mathematical discussion and that deals with the collection, presentation,
activities to establish a learning analysis, and interpretation of data. It helps
environment of fun and enjoyment. in understanding and drawing conclusions
from the given data using various methods to
activity summarise and interpret numerical information.
Steps of construction:
Drawing a perpendicular bisector of a line using a transparent tape, a pair of scissors, and a pencil.
1. Draw a line segment AB
A
B
2. Place a strip of transparent tape diagonally across AB as shown in the figure.
A
B
3. Repeat step 2 by placing another tape over A 4.
and B just diagonally across the previous one. Join M and N. MN is the perpendicular bisector of
Both the strips cross at M and N.
AB . Verify it using a ruler and a protractor.
M
M
A
B A
N B
N

