Saturday, 1 September 2018





इयत्ता:-6 TH
विषय:- MATHEMATICS








तासिका
विषय
घटक
अध्ययन अध्यापन मुद्दे /  पाठ्यांश उद्देश
अध्ययन अध्यापनाचे स्वरूप
गृहपाठ/स्वाध्याय
साधन / तंत्रे
आवश्यक शैक्षणिक साहित्य
1. Basic Concepts in Geometry
1
MATHEMATICS
1. Basic Concepts in Geometry
Points:-
Complete the rangoli, Providing information on the point topic. Explain The Collinear points.
Draw point A, B, C,P, Q, R.
Discussion,
Textbook



Line Segments and Lines:-
Providing information on the Line Segments and Lines topic. Explain examples.

Class Work,
Picture,
2

1. Basic Concepts in Geometry
Rays:-
Providing information on the Line Segments and Lines topic. Explain examples.
Draw Rays AB and PQ .
Group Work,
Chart,



Planes:-
Providing information on the Planes topic. Explain In mathematics, a flat surface is called a plane and
 examples.
What is meant by Planes?
writing Work,
Color Chalk,
3

1. Basic Concepts in Geometry
Parallel Lines
Providing information on the Parallel Lines  topic. Explain examples.
Draw two Parallel Lines AB and PQ .

Ruler,




Complete the activity.

Activity

4

1. Basic Concepts in Geometry
Practice Set 1
 
1. Look at the figure alongside and  name the following
Draw Line Segments and Lines AB and PQ .
Class Work,
Textbook




2. Write the different names of the line.



5

1. Basic Concepts in Geometry
Practice Set 1
3. Match the following :

Class Work,
Textbook




4. Observe the figure below. Name the parallel lines, the concurrent lines and the points of concurrence in the figure.
Draw different types of the parallel lines, the concurrent lines and the points of concurrence.
Discussion,
Chart,
2.Angles
6

2.Angles
Angles
Identify the type of angle and write its name below the picture.
Draw  the angle, Vertex of the angle, Arms of the angle.
Activity
Picture,




Name of the angle, Vertex of the angle, Arms of the angle.

Discussion,
Textbook
7

2.Angles

A zero angle,   a straight angle, a reflex angle, a full or complete angle.
Draw a zero angle, a straight angle, a reflex angle,  a full or complete angle.
Activity
Textbook




Identify the different types of angles.

Discussion,
Chart,
6

2.Angles
Practice Set 2
1. Match the following.







2. The measures of some angles are given below. Write the type of each angle.



7

2.Angles
Practice Set 2
3. Look at the figures below and write the type of each of the angles.







4. Use a protractor to draw an acute angle, a right angle and an obtuse angle.



8

2.Angles
Get to know your compass box.
Compass, Protractor, Scale/Ruler , Set Squares ,  The Divider,
 






An Angle Bisector
(1) To draw an angle bisector using a compass.







(2) To construct an angle equal in measure to a given angle, using a compass and ruler.



9

2.Angles
Try this.
(1)  Construct an angle bisector to obtain an angle of 30°.

Activity





(2)  Construct an angle bisector to draw an angle of 45°.



10

2.Angles
Practice Set 3
 Use the proper geometrical instruments to construct the following angles. Use the compass and the ruler to bisect them







ICT Tools or Links

Activity

11

2.Angles
Let’s recall.
We have to count objects in order to find out the answer to ‘How many?






Let’s discuss.
 Counting numbers, natural numbers, Whole numbers, positive numbers and negative number.






Try this.
Ex. Warm water, Crushed ice, Crushed ice and salt



3.Integers
12

3.Integers
Integers
Explain the definition of integers.






Showing Integers on the Number Line
Draw Number line and Explain it. Negative numbers ,  Origin , Positive numbers





3.Integers
Example
 Show the numbers -7 and +8 on the number line.
 






Practice Set 4
 
1. Classify the following numbers as positive numbers and negative numbers





3.Integers
Practice Set 4
2. Given below are the temperatures in some cities. Write them using the proper signs.







3. Write the numbers in the following examples using the proper signs.





3.Integers
 My friend, Maths : On the playground.
 
 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 :

Activity




Addition of Integers
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.

Activity



3.Integers

Explain the addition and subtraction of integers







For example,  (+5) + (+3) = +8 and (-5) + (-3) = -8     (-8) + (+2) = -6 and (+8) + (-3) = +5





3.Integers
Practice Set 5
1. Add.      2. Complete the table given below. 





3.Integers
Opposite Numbers
Explanation: Opposite numbers are at the same distance from zero but in opposite directions.







Explanation: The sum of two opposite numbers is zero.





3.Integers
Practice Set 6
Write the opposite number of each of the numbers given below.






Comparing Integers
For example,  -4 + 1 = -3
 







Explanation: On the number line, every number is greater than the number on its immediate left by 1.






3.Integers
Practice Set 7
 Write the proper signs  > , < or = in the boxes below.






Subtraction of Integers
Explain by example. (-9) - (-4)=?, (-4) - (-9)=?, (+9) - (+4)=?, (+9) - (-4) =?







Explanation: To subtract a number from another number is to add its opposite number to the other number. For Example : 8 - (-6) = 8 + (+6)





3.Integers
Practice Set 8
 Subtract the numbers in the top row from the numbers in the first column and write the proper number in each empty box.






A Game of Integers
 
Activity

Activity





4.Operation on Fraction





4.Operation on Fraction
Let’s recall.
Activity on Fraction






Conversion of an Improper Fraction into a Mixed Number
Explain with the help of an example. 7/2=?







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.





4.Operation on Fraction
Let’s learn.
Explain with the help of an example: Conversion of a Mixed Number into an Improper Fraction






Practice Set 9
1. Convert into improper fractions.







2. Convert into mixed numbers.





4.Operation on Fraction

3.  Write the following examples using fractions.






Let’s learn.
Addition and Subtraction of Mixed Numbers. Explain with the helps of examples. Method I  and Method II






Practice Set 10
1. Add.  2.  Subtract. 3. Solve.
 





4.Operation on Fraction
Let’s learn.
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.






Practice Set 11
1. What fractions do the points A and B show on the number lines below?







2. Show the following fractions on the number line.
 





4.Operation on Fraction
Multiplication of Fractions
 
Explain how the product can be multiplied with a rectangular strip.







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.





4.Operation on Fraction
Practice Set 12
1. Multiply.
Explain the  Word Problems: Ex.1), Ex.2)





4.Operation on Fraction
Let’s learn.
Reciprocals or Multiplicative Inverses: Look at these multiplications. Explain with the help of an example.







Explanation: When the product of two numbers is 1, each of the numbers is the multiplicative inverse or reciprocal of the other.





4.Operation on Fraction
Let’s learn.
Division of Fractions: explain with the help of an example.







Explanation: To divide a number by a fraction is to multiply it by the reciprocal of the fraction.





4.Operation on Fraction
Practice Set 13
1. Write the reciprocals of the following numbers







2. Carry out the following divisions





4.Operation on Fraction

3. explain the word problem






Ramanujan’s Magic Square
 Addition the four numbers in the rows, the columns and along the diagonals of this square.

Activity

5.Decimal Fractions


5.Decimal Fractions
Let’s recall.
Decimal Fractions : Addition and Subtraction







Explain Examples: If Nandu gave a 100 rupee note, how much money does he get back?
 






Let’s recall.
Explain Examples and solve problems







ex. Kilogram-gram, kilometer - meter, liter -milliliter







Explanation: Calculate Weight





5.Decimal Fractions
Practice Set 14
 
1. In the table below, write the place value of each of the digits in the number 378.025.
 2. Solve.







3. Subtract.





5.Decimal Fractions
Practice Set 14
Explanation of word problems and solve it.







Ex.4),5),6),7)





5.Decimal Fractions
Let’s recall.
Showing Decimal Fractions on the Number Line







Explain with help of number line example.






Let’s recall.
Converting a Common Fraction into a Decimal Fraction:
 Explain with help of examples.






Let’s learn.
Converting a Decimal Fraction into a Common Fraction: Explain with help of examples.





5.Decimal Fractions
Practice Set 15
1. Write the proper number in the empty boxes.
 







2. Convert the common fractions into decimal fractions.







3. Convert the decimal fractions into common fractions.





5.Decimal Fractions
Let’s learn.
Multiplication of Decimal Fractions







Explain the Example 1. Multiply 4.3 × 5.







Method I  and Method II





5.Decimal Fractions
Practice Set 16
1. If, 317 × 45 = 14265, then 3.17 × 4.5 = ?







2. If, 503 × 217 = 109151, then 5.03 × 2.17 = ?







3. Multiply.





5.Decimal Fractions
Practice Set 16
Explain the Word Problems: Ex.4), Ex.5)






Let’s learn.
Division of Decimal Fractions:
 







 Explain with help of examples.





5.Decimal Fractions
Practice Set 17
1. Carry out the following divisions.







Explain the Word Problems: Ex.2), Ex.3), Ex.4)






Maths is fun!
Maths is fun!

Activity

6.Bar Graphs


6.Bar Graphs
Let’s recall.
Observe the picture and ask question to student on picture.


picture, Textbook




explain with the helps of the examples of pictogram






Let’s learn.
Explanation on the graph paper. Ex. Line distance and x axis and y axis. Explain Scale on y axis and unit.







explain the vehicles graph bar example.





6.Bar Graphs
Practice Set 18
 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.






Let’s learn.
Drawing a Bar Graph: explain with the help of the examples types and number of plant.





6.Bar Graphs
Practice Set 19
Explain Bar Graphs Examples from practice set 19. Ex. 1),Ex.2),Ex.3),Ex.4)





6.Bar Graphs
Practice Set 19
Explain Bar Graphs Examples from practice set 19. Ex.5)Ex.6),Ex.7) , ICT Tools or Links



7.Symmentry


7.Symmentry
Try This
Take two activities.

Activities





Discuss students about the replica.







Discussion with students about reflection.

Discussion




Let’s learn.
Explain with the help of examples. Reflection Symmetry





7.Symmentry
Practice Set 20
Solving examples from practice set 20.







ex.1),ex.2),ex.3),ex4)





7.Symmentry
Drawing symmetrical figures on graph paper
Drawing and discussing various figures on graph paper and asking students questions






Practice Set 21
Solving examples from practice set 21.







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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