Lesson Plan | Active Methodology | Multiplication and Division of Decimal Numbers

Premises: This Active Lesson Plan assumes: a 100-minute class duration, prior student study both with the Book and the beginning of Project development, and that only one activity (among the three suggested) will be chosen to be carried out during the class, as each activity is designed to take up a large part of the available time.

Objective

Duration: (5 - 10 minutes)

Clearly defining the learning objectives is vital for setting expectations for the lesson's outcomes. This helps navigate both the students' learning journey and the teacher's assessment of their progress. The outlined objectives direct teaching efforts towards essential skills in multiplying and dividing decimal numbers, preparing students to effectively tackle these concepts in their day-to-day lives.

Objective Utama:

1. Empower students to tackle real-world problems involving the multiplication and division of decimal numbers, such as estimating the total cost when refuelling a vehicle.

2. Cultivate mathematical reasoning skills and apply multiplication and division concepts in everyday scenarios.

Objective Tambahan:

1. Encourage students to become self-reliant in solving mathematical problems, enhancing their critical thinking and problem-solving abilities.

Introduction

Duration: (15 - 20 minutes)

The Introduction phase is intended to hook students right from the outset, using relatable problem scenarios that they might encounter in daily life to highlight the topic's real-world significance. Connecting the importance of multiplication and division of decimal numbers with relatable examples and intriguing historical facts can deepen understanding and motivate students to engage meaningfully with the material.

Problem-Based Situation

1. Imagine you are planning a road trip with friends and need to calculate the total fuel cost at ₹100 per litre. If your car's tank can hold 50 litres and you're planning to fill it, how much will you spend?

2. A grocery store is selling chocolate bars for ₹299 each for 100 grams. If a bar weighs 250 grams and you want to buy 8 bars, how much will that cost? Help the shopkeeper compute the total amount.

Contextualization

Multiplication and division of decimal numbers are essential skills that we use every day, whether it's shopping, budgeting, or even in engineering tasks. These operations are vital for managing expenses and understanding measurements, making them indispensable for everyday life. Additionally, fascinating facts about the historical use of decimal fractions can pique students' curiosity and illustrate the enduring relevance of these concepts through time.

Development

Duration: (70 - 75 minutes)

The Development stage aims to let students apply multiplication and division concepts in context. Through group work, they will not only strengthen collaborative learning but also enhance critical thinking and problem-solving skills. This section is essential for consolidating knowledge, allowing students to interact with mathematics in scenarios mirroring real life.

Activity Suggestions

It is recommended that only one of the suggested activities be carried out

Activity 1 - The Fuel Race

> Duration: (60 - 70 minutes)

- Objective: To apply the concepts of multiplication and addition of decimal numbers in a fun and competitive setup, encouraging logical reasoning and teamwork.

- Description: In this hands-on activity, students will be split into groups of up to 5. Each group will receive a card showcasing different vehicles and their fuel capacities. They will calculate the cost to fill each vehicle's tank based on the fuel price provided by the school. The group with the most accurate cost estimate will receive a small token of appreciation.

- Instructions:

• Divide the class into groups of up to 5 students.

• Hand out a card to each group detailing various vehicles and their fuel tank capacities.

• Share the current fuel price per litre.

• Students must calculate the cost to fill each vehicle's tank per the card details.

• At the end, each group presents their findings and explains their calculations.

• The group with the most precise and lowest total cost is declared the winner.

Activity 2 - Decimal Supermarket

> Duration: (60 - 70 minutes)

- Objective: To develop multiplication and addition skills related to decimals while practising financial planning in a realistic shopping scenario.

- Description: In groups, students will simulate a shopping trip to the supermarket where they will calculate the cost of various products based on their weights and prices. The challenge is to stay within a fictional budget.

- Instructions:

• Divide the class into groups of up to 5 students.

• Distribute a price list with items and their weights to each group.

• Inform each group of their total budget.

• Students must calculate the total cost of items they wish to buy without exceeding their budget.

• They will also prepare a final shopping list to showcase.

• The group that buys the highest number of products within their budget wins.

Activity 3 - The Price is Right

> Duration: (60 - 70 minutes)

- Objective: To engage in active practice of multiplication and addition of decimal numbers in a vibrant and competitive manner that prompts quick thinking.

- Description: Inspired by a popular TV show, groups of students must estimate the total cost of a list of items by multiplying their prices by their quantities based on the information provided by the teacher.

- Instructions:

• Divide the class into groups of up to 5 students.

• Present a list of items along with their unit prices and quantities.

• Groups need to compute the total cost of each item.

• Each group presents their estimates.

• Finally, reveal the actual costs and calculate each group's points.

• The group with the closest estimate to the real amount, without exceeding, wins.

Feedback

Duration: (15 - 20 minutes)

The objective of this stage is to reinforce learning, allowing students to reflect on their actions and articulate their thought processes and problem-solving methods. This discussion aids in identifying knowledge gaps and reinforces understanding while promoting effective communication and collaboration skills. By assessing student responses, the teacher can evaluate teaching effectiveness and address any lingering questions.

Group Discussion

After the activities, gather all students for a class discussion. Start by asking the groups about the strategies they employed to tackle the problems and what challenges they faced. Encourage each group to elaborate on how they used the concepts of multiplication and division of decimal numbers in their solutions. This is a great opportunity for students to share their insights and learnings, fostering an exchange of ideas.

Key Questions

1. What were the main challenges faced while applying multiplication and division of decimal numbers in the activities?

2. How did your group ascertain the best method for calculating total costs?

3. Was there a specific strategy that worked well for most groups?

Conclusion

Duration: (5 - 10 minutes)

The Conclusion stage intends to reinforce what has been learned, effectively linking theoretical concepts with the practical applications experienced during class. This recap helps students solidify their understanding and appreciate mathematics as a valuable tool in various everyday contexts. Furthermore, it highlights the importance of studying decimal numbers in building essential skills for both mathematics and day-to-day life.

Summary

To conclude, we will summarise the main points regarding the multiplication and division of decimal numbers, particularly how to use these concepts in practical contexts like computing fuel costs or shopping expenses. We revisited the techniques of multiplying decimals, correlating them with the activities undertaken.

Theory Connection

Throughout the lesson, we successfully linked theory with practice through engaging activities and group dialogues. Students recognized how the mathematical concepts explored apply to real-world situations, solidifying their understanding of the significance of decimal numbers in daily life.

Closing

Lastly, it is critical to emphasise the importance of decimal numbers in our everyday lives. Mastering these concepts is vital for conducting daily tasks, from simple purchases to more intricate financial dealings. The practical applications of today's lessons can be seen in budgeting and solving real-world problems involving measurements and monetary values.