Lesson Plan | Traditional Methodology | Value Equivalence: Discount and Exchange

Objectives

Duration: (10 - 15 minutes)

The purpose of this stage of the lesson plan is to present the main objectives of the lesson to the students, so they know what to expect and can focus on the fundamental concepts that will be covered. This helps to guide the students' attention and prepare them for understanding the topics of discounts and change, which are essential for solving practical problems in everyday life.

Main Objectives

1. Understand the concept of discount and how it is applied to the original price of a product.

2. Learn to calculate the change needed in a purchase transaction.

3. Develop skills to solve practical problems involving discounts and change.

Introduction

Duration: (10 - 15 minutes)

The purpose of this stage of the lesson plan is to capture the students' attention and establish a connection between the concepts of discount and change and their daily experiences. This will help make learning more relevant and interesting for students, preparing them for a deeper understanding of the topics to be addressed.

Context

Explain to the students that today we will learn about two very important concepts that we use in our daily lives: discount and change. Ask if they have ever gone to the market or a store with their parents and seen how prices are altered with discounts or how the change is given when we pay in cash. Relate that understanding these concepts is fundamental not only for math but for everyday life, helping to make smart financial decisions.

Curiosities

Did you know that the concept of discount has been used since ancient times? In ancient markets, merchants would already offer price reductions to clear products before new harvests or to attract more customers. Today, discounts are a common strategy in sales, especially during promotional periods like Black Friday. And giving change correctly is an essential skill for any seller, ensuring that the transaction is fair and accurate.

Development

Duration: (50 - 60 minutes)

The purpose of this stage of the lesson plan is to provide students with a detailed and practical understanding of the concepts of discount and change. By addressing specific topics and solving practical examples, students will be able to apply these concepts in everyday situations, developing essential skills for making informed financial decisions.

Covered Topics

1. Discount: Explain the concept of discount, which is the reduction of the original price of a product. Detail how discounts are often used in promotions and sales to attract customers. Use a practical example: if a toy costs R$ 50.00 and is discounted by 20%, the new price will be R$ 40.00. Show how to calculate the discount by multiplying the original value by the discount percentage and subtracting from the original value. 2. Change: Describe the concept of change, which is the amount returned to the buyer when the cash payment exceeds the purchase value. Explain the importance of calculating change correctly to ensure fair transactions. Use a practical example: if a customer buys a book for R$ 25.00 and pays with a R$ 50.00 bill, the change will be R$ 25.00. Show how to subtract the purchase value from the amount paid. 3. Procedures for calculating discount and change: Detail the steps for systematically calculating discounts and change. For discounts, reinforce the formula: Discount Amount = Original Price x (Discount Percentage / 100). For change, reinforce the formula: Change = Amount Paid - Purchase Amount. Include additional examples for practice in the classroom. 4. Solving Practical Problems: Present practical problems involving discounts and change. For example, a problem may involve the purchase of several items with different discounts and the need to calculate the total to be paid and the change to be received. This allows students to apply the concepts learned in real situations.

Classroom Questions

1. A notebook costs R$ 15.00 and is discounted by 10%. What is the new price of the notebook? 2. If you buy a backpack for R$ 120.00 and pay with a R$ 200.00 bill, how much will the change be? 3. Maria bought three items: a book for R$ 30.00 with a 15% discount, an eraser for R$ 2.00 with no discount, and a ruler for R$ 5.00 with a 10% discount. What is the total amount that Maria will pay for the three items?

Questions Discussion

Duration: (20 - 25 minutes)

The purpose of this stage of the lesson plan is to review and consolidate the students' learning about the concepts of discount and change. Through discussion of the solutions to the presented problems, students have the opportunity to clarify doubts, share methods of resolution, and reinforce their understanding of the mathematical procedures involved. This stage also promotes interaction and engagement, helping to solidify knowledge in a practical and collaborative manner.

Discussion

• Explain that to solve the first question, where a notebook costs R$ 15.00 with a 10% discount, it is necessary to calculate the discount amount (15 x 0.10 = 1.50) and then subtract this amount from the original price (15 - 1.50 = 13.50). Therefore, the new price of the notebook is R$ 13.50.

• For the second question, where the backpack costs R$ 120.00 and the payment is made with a R$ 200.00 bill, the change is calculated by subtracting the purchase value from the amount paid (200 - 120 = 80). Thus, the change is R$ 80.00.

• In the third question, where Maria bought three items: a book for R$ 30.00 with a 15% discount, an eraser for R$ 2.00 with no discount, and a ruler for R$ 5.00 with a 10% discount, the detailed calculation is as follows: first, calculate the discount of the book (30 x 0.15 = 4.50) and subtract this amount from the original price of the book (30 - 4.50 = 25.50). For the ruler, the discount is calculated as (5 x 0.10 = 0.50) and subtracted from the original price of the ruler (5 - 0.50 = 4.50). Finally, sum the values of the three items (25.50 + 2.00 + 4.50 = 32.00). Therefore, Maria will pay R$ 32.00 for the three items.

Student Engagement

1. Ask the students: 'Did you manage to solve all the problems? Was there any that you found more difficult?' 2. Ask them to share how they calculated the values and if they encountered any specific difficulties. 3. Question: 'Has anyone had a real experience where they needed to calculate a discount or change? How was it?' 4. Suggest that students think of other everyday situations where these calculations would be useful, such as at a fair, during a sale, or when shopping for a party.

Conclusion

Duration: (10 - 15 minutes)

The purpose of this stage of the lesson plan is to review and reinforce the main points covered, ensuring that students have a consolidated understanding of the concepts of discount and change. This stage also aims to connect theory with practical situations, highlighting the relevance of learning for the students' daily lives.

Summary

• Understanding the concept of discount as the reduction of the original price of a product.
• Calculating the discount using the formula: Discount Amount = Original Price x (Discount Percentage / 100).
• Understanding the concept of change as the amount returned to the buyer when the cash payment exceeds the purchase amount.
• Calculating the change using the formula: Change = Amount Paid - Purchase Amount.
• Practical resolution of problems involving discount and change.

The lesson connected theory to practice through the presentation of real examples and practical problems. Students were able to see how discount and change calculations are applied in everyday situations, such as shopping at markets or stores, making the learning more meaningful and applicable to their daily lives.

Understanding and calculating discounts and changes is an essential skill in everyday life. Knowing how much will be paid for a product with a discount or how much change to expect in a purchase helps students develop important financial skills, promoting smarter and safer financial decisions. These skills are also fundamental for avoiding errors in commercial transactions and for negotiating better prices in future purchases.