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Lesson plan of Area: Composite Figures

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Lara from Teachy


Mathematics

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Area: Composite Figures

Lesson Plan | Socioemotional Learning | Area: Composite Figures

KeywordsArea of Composite Figures, Triangles, Rectangles, Mathematics, 7th Grade, Socio-emotional Skills, RULER, Self-awareness, Self-control, Responsible Decision-Making, Social Skills, Social Awareness, Guided Meditation, Floor Plan, Collaboration, Emotional Regulation
ResourcesSimplified floor plan of a house, Graph paper, Ruler, Calculator, Pencil, Eraser, Whiteboard, Markers, Note paper, Guided meditation materials (audio or script)
Codes-
Grade7th grade
DisciplineMathematics

Objective

Duration: 10 to 15 minutes

The aim of this phase in our Socio-emotional Lesson Plan is to introduce students to the concept of calculating the areas of composite figures, linking it to everyday experiences and socio-emotional skills. This approach is designed to create an engaging and empathic classroom environment where students can both express their feelings and build essential math skills applicable to real-world challenges.

Objective Utama

1. Learn how to calculate the area of composite figures by breaking them down into basic shapes like triangles and rectangles.

2. Develop the skills needed to solve real-world problems involving area, such as estimating the total area of a house.

3. Foster socio-emotional growth by recognising, understanding, and managing emotions throughout the learning process.

Introduction

Duration: 15 to 20 minutes

Emotional Warmup Activity

Connecting with Inner Calm

Guided Meditation

1. Invite students to sit comfortably in their chairs with their backs straight and feet flat on the floor.

2. Ask them to gently close their eyes and focus on their breathing, inhaling and exhaling naturally.

3. Direct students to take a deep breath in through the nose, hold it for a few seconds, and then exhale slowly through the mouth.

4. Guide them to visualise a peaceful place, such as a quiet beach or a field full of flowers, where they feel relaxed and secure.

5. Encourage them to imagine walking through this place, noticing the colours, smelling the scents, and listening to the ambient sounds.

6. After a few minutes, ask them to slowly bring their attention back to the classroom, noticing their feet on the ground and their posture.

7. Wrap up the meditation by having them slowly open their eyes and take one more deep breath, holding on to that sense of calm and focus.

Content Contextualization

Calculating the area of composite figures is a practical and essential skill that comes into play in many everyday situations. Whether you're planning out the layout of a room, determining how much paint you'll need to cover a wall, or figuring out the space available for an event, knowing how to add up the areas of different shapes is key. Moreover, this skill ties directly into making informed decisions and solving problems effectively. By learning how to calculate areas, students not only improve their mathematical abilities but also gain confidence in tackling real-life challenges. This direct connection between math and everyday application helps spark genuine interest and engagement.

Development

Duration: 60 to 75 minutes

Theory Guide

Duration: 20 to 25 minutes

1. Definition of Composite Figures: Composite figures are shapes that can be broken down into simpler forms like triangles, rectangles, squares, and circles.

2. Area of a Rectangle: Calculate the area by multiplying the base by the height (A = b * h). For example, a rectangle with a base of 5 cm and a height of 3 cm has an area of 15 cm².

3. Area of a Triangle: Find the area by multiplying the base by the height and then dividing by 2 (A = (b * h) / 2). For instance, a triangle with a base of 4 cm and a height of 6 cm has an area of 12 cm².

4. Area of Composite Figures: To determine the total area, split the composite figure into basic shapes, calculate each area, and then add them together. For example, if you have a rectangle measuring 5 cm x 3 cm and a triangle with a base of 4 cm and a height of 6 cm, the total area would be 15 cm² + 12 cm² = 27 cm².

5. Practical Application: Consider a house where different rooms are represented by rectangles and triangles. For example, a rectangular living room measuring 5 m by 4 m and a triangular bedroom with a base of 3 m and a height of 2 m would result in a total area of 20 m² + 3 m² = 23 m².

Activity with Socioemotional Feedback

Duration: 30 to 35 minutes

Calculating the Area of a House

Students will be grouped and given a simplified floor plan of a house. They will identify the basic shapes used in the plan and calculate the total area by applying the concepts they've learned.

1. Divide the students into groups of 4 or 5.

2. Distribute a simplified floor plan of a house to each group.

3. Have the students identify the basic shapes (such as rectangles and triangles) in the plan.

4. Instruct them to calculate the area of each shape and then sum these areas to obtain the total area of the house.

5. Circulate around the room to assist groups as needed and to encourage teamwork.

6. Once the calculations are complete, invite each group to present their results and explain the steps they took.

Discussion and Group Feedback

After the activity, facilitate a group discussion using the RULER method to promote socio-emotional feedback:

Recognise: Ask students to share how they felt during the activity. Did any particular emotion—like frustration over a mistake or satisfaction when solving a problem—stand out?

Understand: Encourage a discussion about what caused these emotions. What led to the frustration or satisfaction?

Label: Help students accurately name the emotions they experienced. If someone mentioned feeling 'bad' about a mistake, suggest more specific terms like 'frustrated' or 'discouraged'.

Express: Invite students to discuss how they can express their feelings in a constructive manner during group work.

Regulate: Talk about strategies for managing these emotions in the future. For example, how can they better handle the frustration of making an error? Breathing exercises or taking short breaks may help maintain calm and focus.

Conclusion

Duration: 15 to 20 minutes

Reflection and Emotional Regulation

Invite students to write a short paragraph reflecting on the challenges they encountered during the lesson and how they handled their emotions. Alternatively, lead a group discussion where each student shares their experiences and feelings. Ask them how they felt when solving the area problems, what emotions surfaced during group work, and how they managed those feelings. Encourage them to consider the strategies they used to overcome difficulties and maintain focus.

Objective: This section aims to promote self-reflection and emotional regulation by helping students identify effective strategies to navigate challenging situations. By reflecting on their emotional responses, students can develop self-awareness and learn to manage their feelings more effectively, contributing to a positive and productive learning environment.

Glimpse into the Future

Discuss with the students the importance of setting both personal and academic goals to support ongoing progress. Ask them to come up with a specific academic goal related to improving their ability to calculate composite figures and a personal goal focused on better emotional regulation during learning. For instance, a student might decide to practise extra math exercises at home and use breathing techniques to remain calm during challenging tasks.

Penetapan Objective:

1. Increase accuracy in calculating the areas of composite figures.

2. Spend at least 15 minutes daily on math exercises at home.

3. Apply breathing techniques to maintain calm during challenges.

4. Work collaboratively and effectively with peers during group projects.

5. Reflect on their emotions after class and identify strategies for better regulation. Objective: The goal of this section is to enhance student autonomy by linking academic skills and emotional regulation with clear, actionable goals. This approach encourages ongoing personal and academic growth, ultimately boosting self-confidence and a commitment to continuous improvement.


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