Wednesday, July 19, 2023

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:

Geometry: Shapes & Angles,polygons) GL ASSESSMENT QUESTIONS 11 plus exam part -4

 Geometry: Shapes & Angles,polygons) GL ASSESSMENT QUESTIONS 11 plus exam part -4 Part 2: 100+ Practice Questions (GL Assessment Style) ...