Map Colouring ,
Fibonacci Numbers ,
Highest Common Factor
Map Colouring
_Objectives_
1. Understand the concept of map colouring.
2. Learn the rules of map colouring.
3. Apply the rules to colour a map.
_Introduction (5 minutes)_
1. Show a map of India or any other country.
2. Ask students if they have ever coloured a map.
3. Introduce the concept of map colouring.
_Teaching Aids_
1. Map of India or any other country
2. Coloured pencils or markers
3. Whiteboard and markers
_Rules of Map Colouring_
1. No two adjacent countries can have the same colour.
2. A country cannot have more than four colours.
3. The same colour cannot be used for two countries that share a common border.
_Activity (15 minutes)_
1. Distribute the maps to the students.
2. Ask them to colour the map using the rules of map colouring.
3. Circulate around the class to help and guide the students.
_Follow-up (5 minutes)_
1. Review the rules of map colouring.
2. Ask students to share their coloured maps.
3. Discuss any challenges or difficulties faced by the students.
Fibonacci Numbers
_Objectives_
1. Understand the concept of Fibonacci numbers.
2. Learn the formula for Fibonacci numbers.
3. Apply the formula to find Fibonacci numbers.
_Introduction (5 minutes)_
1. Write the sequence of Fibonacci numbers on the board: 0, 1, 1, 2, 3, 5, 8, 13, ...
2. Ask students if they have ever heard of Fibonacci numbers.
3. Introduce the concept of Fibonacci numbers.
_Teaching Aids_
1. Whiteboard and markers
2. Fibonacci sequence printout
_Formula for Fibonacci Numbers_
1. F(n) = F(n-1) + F(n-2)
2. F(0) = 0
3. F(1) = 1
_Activity (15 minutes)_
1. Ask students to work in pairs to find the next Fibonacci number in the sequence.
2. Circulate around the class to help and guide the students.
_Follow-up (5 minutes)_
1. Review the formula for Fibonacci numbers.
2. Ask students to share their answers.
3. Discuss any challenges or difficulties faced by the students.
Highest Common Factor (HCF)
_Objectives_
1. Understand the concept of HCF.
2. Learn the method to find HCF.
3. Apply the method to find HCF of two numbers.
_Introduction (5 minutes)_
1. Write two numbers on the board, e.g., 12 and 18.
2. Ask students to find the common factors of the two numbers.
3. Introduce the concept of HCF.
_Teaching Aids_
1. Whiteboard and markers
2. HCF examples printout
_Method to Find HCF_
1. List the factors of each number.
2. Identify the common factors.
3. Choose the highest common factor.
_Activity (15 minutes)_
1. Ask students to work in pairs to find the HCF of two numbers.
2. Circulate around the class to help and guide the students.
_Follow-up (5 minutes)_
1. Review the method to find HCF.
2. Ask students to share their answers.
3. Discuss any challenges or difficulties faced by the students.
_Homework_
1. Colour a map of India or any other country using the rules of map colouring.
2. Find the next Fibonacci number in the sequence.
3. Find the HCF of two numbers.
4. Solve the following problems:
1. Find the HCF of 24 and 30.
2. Find the next Fibonacci number in the sequence: 0, 1, 1, 2, 3, 5, 8, 13, ...
3. Colour a map of a continent using the rules of map colouring.
_Assessment Rubric:_
1. Participation and engagement (20%)
2. Accuracy of map colouring, Fibonacci numbers, and HCF (40%)
3. Problem-solving skills (30%)
4. Homework and research (10%)
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