Wednesday, July 19, 2023

Class 08 Cubes and Cuberoots -2 Cubes

 

Cubes and Cuberoots




 

Activity-2 :

Subtopic: Cubes

 DATE:

 

AIM / Objective:

To find Cubes

 

MATERIALS REQUIRED:

Pencil, scale, eraser

 

PREREQUISITE KNOWLEDGE:

Concept of cube

 

PROCEDURE:

Description:

 

1729 can be expressed as sum of cubes of two numbers

1729 =  +  =  +

LEARNING ASSESSMENT:

 

(i) Find two more such numbers which can be expressed as sum of cubes of two natural numbers.

(ii) What special name is given to the number 1729?

 

SOLUTION:

 

Class 08 Cubes and Cuberoots -1 Cube number patterns

 

Cubes and Cuberoots





 

Activity-1 :

Subtopic: Cube number patterns

DATE:

 

AIM / Objective:

To observe the pattern

 

MATERIALS REQUIRED:

Pencil, scale, eraser

 

PREREQUISITE KNOWLEDGE:

Concept of Cube

 

PROCEDURE:

 

Description: To observe the given number

 = 27 = 7+9+11

 = 125 = 21 + 23 + 25 + 27 + 29

 

LEARNING ASSESSMENT:

 

pattern  write the next three steps:

 

SOLUTION:

Class 08 Squares and Squareroots To verify that the sum of first n odd natural numbers is n^2.

 

Squares and Squareroots




 

Activity-3 :

To verify that the sum of first n odd natural numbers is .

DATE:

 

AIM / Objective:

To verify that the sum of first n odd natural numbers is n^2.

MATERIALS REQUIRED:

Pencil, scale, eraser

 

PREREQUISITE KNOWLEDGE:

Concept of squares

 

PROCEDURE:

 

• Draw squares of sides 1 cm, 2 cm, 3 cm, 4 cm and 5 cm and cut them.

• Divide the squares into smaller squares of side 1x1 and shade each square with a different colour.

Count the number of squares in different colour bands

and write the numbers at the corners as shown.

and so on...

 = 1

 = 1+3=4

 = 1+3+5=9

=1+3+5+7=16

=1+3+5+7+9=25

LEARNING ASSESSMENT:

Verify that the sum of first n odd natural numbers is .

 

SOLUTION:

Class 08 Squares and Squareroots To observe the given number pattern and complete the next three steps

 

Squares and Squareroots




Activity-2 :

Subtopic: To observe the given number pattern and complete the next three steps.

DATE:

 

AIM / Objective:

To observe the given number pattern and complete the next three steps.

 

MATERIALS REQUIRED:

Pencil, scale, eraser

 

PREREQUISITE KNOWLEDGE:

Concept of squares

 

PROCEDURE:

Oobserve the given number pattern and complete the next three steps.

1st  = 169

2nd   = 10609

3rd   = 1006009

4th ________________

5th ________________

6th ________________

 

LEARNING ASSESSMENT:

Further write similar patterns (any two) involving squares of a number.

 

SOLUTION:

Class 08 Squares and Squareroots To show square of numbers on a graph paper.

 

Squares and Squareroots





 

Activity-1 :

Subtopic: To show square of numbers on a graph paper.

DATE:

 

AIM / Objective:

To show square of numbers on a graph paper.

 

MATERIALS REQUIRED:

Pencil, scale, eraser

 

PREREQUISITE KNOWLEDGE:

Concept of Squares

 

PROCEDURE:

Description:

Take a graph paper. Draw squares on it with sides 1 cm, 2 cm, 3 cm, 4 cm, 5 cm, 6 cm and 7 cm.

 

LEARNING ASSESSMENT:

 

Now count the number of squares in each square and write the observation.

 

SOLUTION:

Class 08 Data handling Pie chart of daily activities

 

Data handling

 



Activity-3 :

Subtopic: Pie chart of Daily Activities

DATE:

 

AIM / Objective:

To draw a pie chart

 

MATERIALS REQUIRED:

Pencil, scale, eraser

 

PREREQUISITE KNOWLEDGE:

Concept of data handling

 

PROCEDURE:

Description:

 

• Write the time spent (in hours) during the day under the following headings by you:

(a) School

(b) Homework

(c) Play

(d) Sleep

(e) Watching TV

(f) Miscellaneous

 

LEARNING ASSESSMENT:

 

• Prepare a Pie chart for the above schedule, where each activity is represented by a different colour.

• Name the activity with the smallest and largest sector

 

SOLUTION:

 

Class 08 Data handling Pie chart

 

Data handling




 

ACTIVITY –2. Pie chart

DATE:

 

AIM / Objective:

To draw a pie chart

 

MATERIALS REQUIRED:

Pencil, scale, eraser

 

PREREQUISITE KNOWLEDGE:

Concept of data handling

 

PROCEDURE:

Description:

 

Collect information about monthly expenditure of your home from your parents.

 

 

LEARNING ASSESSMENT:

 

Then draw a pie chart with different heads like grocery, rent, electricity bills etc.

 

SOLUTION:

Pages

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