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इयत्ता:-6 TH
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विषय:- MATHEMATICS
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तासिका
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विषय
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घटक
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अध्ययन अध्यापन
मुद्दे / पाठ्यांश उद्देश
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अध्ययन अध्यापनाचे स्वरूप
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गृहपाठ/स्वाध्याय
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साधन / तंत्रे
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आवश्यक शैक्षणिक
साहित्य
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1. Basic Concepts in Geometry
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1
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MATHEMATICS
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1. Basic Concepts in
Geometry
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Points:-
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Complete the rangoli,
Providing information on the point topic. Explain The Collinear points.
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Draw point A, B, C,P,
Q, R.
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Discussion,
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Textbook
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Line Segments and
Lines:-
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Providing information
on the Line Segments and Lines topic. Explain examples.
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Class Work,
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Picture,
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2
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1. Basic Concepts in
Geometry
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Rays:-
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Providing information
on the Line Segments and Lines topic. Explain examples.
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Draw Rays AB and PQ .
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Group Work,
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Chart,
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Planes:-
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Providing information
on the Planes topic. Explain In mathematics, a flat surface is called a plane
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examples. |
What is meant by
Planes?
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writing Work,
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Color Chalk,
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3
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1. Basic Concepts in
Geometry
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Parallel Lines
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Providing information
on the Parallel Lines topic. Explain
examples.
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Draw two Parallel Lines
AB and PQ .
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Ruler,
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Complete the activity.
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Activity
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4
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1. Basic Concepts in
Geometry
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Practice Set 1
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1. Look at the figure
alongside and name the following
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Draw Line Segments and
Lines AB and PQ .
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Class Work,
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Textbook
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2. Write the different
names of the line.
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5
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1. Basic Concepts in
Geometry
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Practice Set 1
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3. Match the following
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Class Work,
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Textbook
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4. Observe the figure
below. Name the parallel lines, the concurrent lines and the points of
concurrence in the figure.
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Draw different types of
the parallel lines, the concurrent lines and the points of concurrence.
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Discussion,
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Chart,
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2.Angles
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6
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2.Angles
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Angles
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Identify the type of
angle and write its name below the picture.
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Draw the angle, Vertex of the angle, Arms of the
angle.
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Activity
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Picture,
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Name of the angle,
Vertex of the angle, Arms of the angle.
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Discussion,
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Textbook
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7
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2.Angles
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A zero angle, a straight angle, a reflex angle, a full
or complete angle.
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Draw a zero angle, a
straight angle, a reflex angle, a full
or complete angle.
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Activity
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Textbook
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Identify the different
types of angles.
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Discussion,
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Chart,
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6
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2.Angles
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Practice Set 2
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1. Match the following.
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2. The measures of some
angles are given below. Write the type of each angle.
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7
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2.Angles
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Practice Set 2
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3. Look at the figures
below and write the type of each of the angles.
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4. Use a protractor to
draw an acute angle, a right angle and an obtuse angle.
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8
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2.Angles
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Get to know your
compass box.
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Compass, Protractor,
Scale/Ruler , Set Squares , The
Divider,
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An Angle Bisector
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(1) To draw an angle
bisector using a compass.
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(2) To construct an
angle equal in measure to a given angle, using a compass and ruler.
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9
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2.Angles
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Try this.
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(1) Construct an angle bisector to obtain an
angle of 30°.
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Activity
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(2) Construct an angle bisector to draw an
angle of 45°.
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10
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2.Angles
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Practice Set 3
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Use the proper geometrical instruments to
construct the following angles. Use the compass and the ruler to bisect them
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ICT Tools or Links
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Activity
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11
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2.Angles
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Let’s recall.
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We have to count
objects in order to find out the answer to ‘How many?
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Let’s discuss.
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Counting numbers, natural numbers, Whole
numbers, positive numbers and negative number.
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Try this.
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Ex. Warm water, Crushed
ice, Crushed ice and salt
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3.Integers
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12
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3.Integers
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Integers
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Explain the definition
of integers.
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Showing Integers on the
Number Line
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Draw Number line and
Explain it. Negative numbers , Origin
, Positive numbers
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3.Integers
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Example
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Show the numbers -7 and +8 on the number
line.
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Practice Set 4
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1. Classify the
following numbers as positive numbers and negative numbers
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3.Integers
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Practice Set 4
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2. Given below are the
temperatures in some cities. Write them using the proper signs.
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3. Write the numbers in
the following examples using the proper signs.
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3.Integers
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My friend, Maths : On the playground.
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On the playground, mark a timeline showing
the years from 2000 to 2024. With one child standing at the position of the
current year, ask the questions :
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Activity
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Addition of Integers
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Explanation: To add a
positive number to the given number, we move that many units to the right on
the number line from the given number.
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Activity
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3.Integers
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Explain the addition
and subtraction of integers
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For example, (+5) + (+3) = +8 and (-5) + (-3) = -8 (-8) + (+2) = -6 and (+8) + (-3) = +5
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3.Integers
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Practice Set 5
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1. Add. 2. Complete the table given below.
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3.Integers
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Opposite Numbers
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Explanation: Opposite
numbers are at the same distance from zero but in opposite directions.
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Explanation: The sum of
two opposite numbers is zero.
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3.Integers
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Practice Set 6
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Write the opposite
number of each of the numbers given below.
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Comparing Integers
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For example, -4 + 1 = -3
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Explanation: On the
number line, every number is greater than the number on its immediate left by
1.
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3.Integers
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Practice Set 7
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Write the proper signs > , < or = in the boxes below.
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Subtraction of Integers
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Explain by example.
(-9) - (-4)=?, (-4) - (-9)=?, (+9) - (+4)=?, (+9) - (-4) =?
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Explanation: To subtract a number from another number is to add its
opposite number to the other number. For Example : 8 - (-6) = 8 + (+6)
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3.Integers
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Practice Set 8
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Subtract the numbers in the top row from the
numbers in the first column and write the proper number in each empty box.
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A Game of Integers
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Activity
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Activity
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4.Operation on Fraction
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4.Operation on Fraction
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Let’s recall.
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Activity on Fraction
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Conversion of an
Improper Fraction into a Mixed Number
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Explain with the help
of an example. 7/2=?
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Explain this topic:
While dividing, we take care to see that the remainder is smaller than the
divisor. As a result, in the mixed number, the numerator of the fractional
part is smaller than its denominator.
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4.Operation on Fraction
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Let’s learn.
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Explain with the help
of an example: Conversion of a Mixed Number into an Improper Fraction
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Practice Set 9
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1. Convert into
improper fractions.
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2. Convert into mixed
numbers.
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4.Operation on Fraction
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3. Write the following examples using
fractions.
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Let’s learn.
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Addition and
Subtraction of Mixed Numbers. Explain with the helps of examples. Method
I and Method II
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Practice Set 10
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1. Add. 2.
Subtract. 3. Solve.
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4.Operation on Fraction
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Let’s learn.
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Showing Fractions on the
Number Line
Explain with the help of example: If a fraction has to be shown on a number line, every unit on the number line must be divided into as many equal parts as the denominator of the fraction. |
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Practice Set 11
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1. What fractions do the
points A and B show on the number lines below?
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2. Show the following
fractions on the number line.
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4.Operation on Fraction
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Multiplication of
Fractions
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Explain how the product
can be multiplied with a rectangular strip.
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Explanation with
example: When multiplying two fractions, the product of the numerators is
written in the numerator and that of the denominators, in the denominator.
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4.Operation on Fraction
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Practice Set 12
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1. Multiply.
Explain the Word Problems: Ex.1), Ex.2) |
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4.Operation on Fraction
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Let’s learn.
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Reciprocals or
Multiplicative Inverses: Look at these multiplications. Explain with the help
of an example.
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Explanation: When the
product of two numbers is 1, each of the numbers is the multiplicative
inverse or reciprocal of the other.
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4.Operation on Fraction
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Let’s learn.
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Division of Fractions:
explain with the help of an example.
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Explanation: To divide
a number by a fraction is to multiply it by the reciprocal of the fraction.
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4.Operation on Fraction
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Practice Set 13
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1. Write the
reciprocals of the following numbers
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2. Carry out the
following divisions
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4.Operation on Fraction
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3. explain the word
problem
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Ramanujan’s Magic
Square
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Addition the four numbers in the rows, the
columns and along the diagonals of this square.
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Activity
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5.Decimal Fractions
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5.Decimal Fractions
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Let’s recall.
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Decimal Fractions :
Addition and Subtraction
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Explain Examples: If
Nandu gave a 100 rupee note, how much money does he get back?
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Let’s recall.
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Explain Examples and
solve problems
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ex. Kilogram-gram, kilometer
- meter, liter -milliliter
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Explanation: Calculate
Weight
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5.Decimal Fractions
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Practice Set 14
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1. In the table below,
write the place value of each of the digits in the number 378.025.
2. Solve. |
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3. Subtract.
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5.Decimal Fractions
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Practice Set 14
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Explanation of word
problems and solve it.
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Ex.4),5),6),7)
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5.Decimal Fractions
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Let’s recall.
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Showing Decimal
Fractions on the Number Line
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Explain with help of
number line example.
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Let’s recall.
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Converting a Common Fraction
into a Decimal Fraction:
Explain with help of examples. |
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Let’s learn.
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Converting a Decimal
Fraction into a Common Fraction: Explain with help of examples.
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5.Decimal Fractions
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Practice Set 15
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1. Write the proper
number in the empty boxes.
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2. Convert the common
fractions into decimal fractions.
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3. Convert the decimal
fractions into common fractions.
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5.Decimal Fractions
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Let’s learn.
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Multiplication of
Decimal Fractions
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Explain the Example 1.
Multiply 4.3 × 5.
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Method I and Method II
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5.Decimal Fractions
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Practice Set 16
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1. If, 317 × 45 =
14265, then 3.17 × 4.5 = ?
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2. If, 503 × 217 =
109151, then 5.03 × 2.17 = ?
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3. Multiply.
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5.Decimal Fractions
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Practice Set 16
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Explain the Word
Problems: Ex.4), Ex.5)
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Let’s learn.
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Division of Decimal
Fractions:
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Explain with help of examples.
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5.Decimal Fractions
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Practice Set 17
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1. Carry out the
following divisions.
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Explain the Word
Problems: Ex.2), Ex.3), Ex.4)
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Maths is fun!
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Maths is fun!
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Activity
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6.Bar Graphs
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6.Bar Graphs
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Let’s recall.
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Observe the picture and
ask question to student on picture.
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picture, Textbook
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explain with the helps
of the examples of pictogram
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Let’s learn.
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Explanation on the
graph paper. Ex. Line distance and x axis and y axis. Explain Scale on y axis
and unit.
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explain the vehicles graph
bar example.
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6.Bar Graphs
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Practice Set 18
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This bar graph shows the maximum
temperatures in degrees Celsius in different cities on a certain day in
February. Observe the graph and answer the questions.
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Let’s learn.
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Drawing a Bar Graph: explain
with the help of the examples types and number of plant.
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6.Bar Graphs
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Practice Set 19
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Explain Bar Graphs
Examples from practice set 19. Ex. 1),Ex.2),Ex.3),Ex.4)
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6.Bar Graphs
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Practice Set 19
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Explain Bar Graphs Examples
from practice set 19. Ex.5)Ex.6),Ex.7) , ICT Tools or Links
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7.Symmentry
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7.Symmentry
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Try This
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Take two activities.
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Activities
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Discuss students about
the replica.
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Discussion with
students about reflection.
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Discussion
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Let’s learn.
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Explain with the help
of examples. Reflection Symmetry
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7.Symmentry
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Practice Set 20
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Solving examples from
practice set 20.
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ex.1),ex.2),ex.3),ex4)
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7.Symmentry
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Drawing symmetrical
figures on graph paper
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Drawing and discussing
various figures on graph paper and asking students questions
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Practice Set 21
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Solving examples from
practice set 21.
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Ex.)Along each figure
shown below, a line l has been drawn. Complete the symmetrical figures by
drawing a figure on the other side such that the line l becomes the line of
symmetry.
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