Lesson Plan Teknis | Area: Trapezoid

Objective

Duration: 10 - 15 minutes

This stage aims to help students appreciate the significance of calculating a trapezoid's area and apply this knowledge in real-world contexts, like determining the area of land. This understanding is crucial for building mathematical skills that are valuable in the job market, where precision and problem-solving abilities are highly regarded.

Objective Utama:

1. Understand the formula for the area of a trapezoid S = h(B + b) / 2.

2. Apply the formula to calculate the area of different trapezoids in practical problems.

Objective Sampingan:

1. Enhance problem-solving skills in math.
2. Promote critical thinking and analytical skills when tackling real-world issues.

Introduction

Duration: 10 - 15 minutes

This stage seeks to make students aware of the importance of calculating the trapezoid's area and how they can apply this knowledge in practical situations, such as measuring land area. This foundational understanding is vital for developing mathematical skills that are applicable in various careers, where accuracy and problem-solving are highly valued.

Curiosities and Market Connection

Did you know that civil engineers use the trapezoid area formula to estimate the materials needed for road and bridge construction? Surveyors rely on this formula to measure irregular land, ensuring every square inch is accurately accounted for. Architects also utilize this knowledge to create efficient and functional spaces.

Contextualization

Trapezoids are shapes we often see in everyday life, whether it's in land plots, house roofs, or even some bridges. Knowing how to calculate the area of a trapezoid is fundamental for various trades, including civil engineering, architecture, and surveying, where measuring irregular spaces is essential for planning and construction.

Initial Activity

Short Video: Show a 2-3 minute video highlighting real-world examples of trapezoids in the construction and architecture industries. Provocative Question: Pose the question to students: 'How do you think professionals figure out the amount of materials needed to build a bridge?'. Allow them a few moments to reflect before discussing their thoughts in pairs.

Development

Duration: 50 - 60 minutes

This stage aims to reinforce students' understanding of the trapezoid area formula through engaging and challenging activities. By making and measuring a trapezoid, students hone their precision skills and apply theoretical concepts in a practical context. Additionally, the fixation exercises allow students to practice and solidify their learning, promoting a strong grasp of the topic.

Topics

1. Definition of trapezoid and its properties

2. Formula for the area of a trapezoid: S = h(B + b) / 2

3. Practical application of the formula in real-life scenarios

Thoughts on the Subject

Encourage students to think about the significance of area calculation in everyday scenarios. Ask them to consider how constructing a house or measuring a plot would be challenging without the correct application of mathematical principles. Prompt them to reflect on the accuracy needed in fields like engineering and architecture, and how mistakes in calculations can lead to wasted materials and costs.

Mini Challenge

Maker Challenge: Building a Mini Plot

In this hands-on activity, students will create a mini land plot using materials such as cardboard, a ruler, and scissors. They will draw and cut out a trapezoid, measure its bases and height, and calculate the area using the formula they've just learned.

1. Divide students into groups of 3-4.

2. Hand out materials: cardboard, ruler, scissors, pencil, and calculator.

3. Ask groups to draw a trapezoid on the cardboard with random measurements for the bases (B and b) and height (h).

4. After drawing, students should carefully cut out the trapezoid.

5. With the trapezoid cut out, students need to measure the bases and height with the ruler.

6. Using the formula S = h(B + b) / 2, students will calculate the area of their trapezoid.

7. Each group will present their trapezoid, explaining the measurements and their area calculation.

Apply the trapezoid area formula practically, improving skills in measurement, calculation, and teamwork.

**Duration: 30 - 40 minutes

Evaluation Exercises

1. Calculate the area of a trapezoid with bases measuring 8 cm and 5 cm, and a height of 6 cm.

2. A land parcel is trapezoidal with bases of 12 m and 7 m, and a height of 10 m. What is the area of this plot?

3. An architect needs to find out the area of a trapezoidal roof to determine how many tiles are required. The roof's bases measure 15 m and 10 m, with a height of 4 m. What is the area of this roof?

Conclusion

Duration: 10 - 15 minutes

This stage aims to consolidate learning, giving students a space to reflect on what they have learned and how they applied their knowledge in practice. The discussion and recap help reinforce their understanding, while connecting to real-life applications underscores the relevance of the topic for daily life and future career paths.

Discussion

Facilitate a discussion about how the trapezoid area formula was applied throughout the lesson and its practical uses. Encourage students to share their experiences during the maker challenge and their thoughts on applying theory in a hands-on activity. Ask them how this newfound knowledge could be beneficial in their everyday lives and future careers.

Summary

Recap the lesson's key points, reinforcing the definition and properties of a trapezoid, the area formula S = h(B + b) / 2, and the practical applications of this formula in real-world scenarios. Remind students of the steps they took in the mini maker challenge, from constructing the trapezoid to calculating the area, and stress the importance of precision and cooperation.

Closing

Explain how the lesson bridged mathematical theory with practical application and its relevance in the job market. Emphasize the importance of being able to calculate a trapezoid's area in fields like engineering, architecture, and surveying. Conclude by highlighting that the ability to resolve mathematical challenges and apply theoretical knowledge in real situations is essential for both academic and professional success.