Class 08 Algebraic Identities - 1 Algebraic Identities

 

Algebraic Identities

Activity-1 :

Subtopic: Algebraic Identities

DATE:

AIM / Objective:

To verify the identity (a+b)^2 =  a^2+ b^2  +  2ab

 

 

MATERIALS REQUIRED:

Pencil, scale, eraser,

 

PREREQUISITE KNOWLEDGE:

Concept of Algebraic identities

 

PROCEDURE:

Verification of (a+b)^2 =  a^2+ b^2  +  2ab

Take a piece of card board. Draw a square a x a a square b x b and, 2 rectangles a x b on it. Cut off figures as shown

*(Instructions needs to be given in class)

 

 

LEARNING ASSESSMENT:

 

Verify (a+b)^2 =  a^2+ b^2  +  2ab

 

SOLUTION:

Class 08 Comparing quantities -2 Billing activity (VAT)

 

COMPARING QUANTITIES

 

Activity-2 :

Subtopic: Billing activity (VAT)

DATE:

 

AIM / Objective:

To find VAT

 

MATERIALS REQUIRED:

Pencil, scale, eraser

 

PREREQUISITE KNOWLEDGE:

Concept of billing

 

PROCEDURE:

 

Description:

Take a grocery bill

 

calculate the cost of individual items including VAT add and verify with total amount VAT levied on all items

 

e.g.: Sugar Price VAT Price including VAT

` 100 8% ` 100+8% of 100 = ` 108

 

 

LEARNING ASSESSMENT:

calculate the cost of individual items including VAT add and verify with total amount VAT levied on all items

 

SOLUTION:

Class 08 Comparing quantities -1 Difference between simple interest and compound interest.

 

COMPARING QUANTITIES

 

Activity-1 :

Subtopic: Difference between simple interest and compound interest.

DATE:

 

AIM / Objective:

To find the difference between simple interest and compound interest

 

MATERIALS REQUIRED:

Pencil, scale, eraser

 

PREREQUISITE KNOWLEDGE:

Concept of Simple interest and compound interest

 

PROCEDURE:

 

Description:

Calculate simple interest and compound interest on Rs. 100000 at 10% per annum for 5 consecutive years and tabulate the data in the following manner.

 

LEARNING ASSESSMENT:

 

Make a double bar graph representing SI and CI and observe the gain in each year and long term benefits of compound interest.

 

Year	Principal for S.I	Principal for C.I	SI	CI
1
2
3
4
5

SOLUTION:

 

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: