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Lesson plan of Fractions: Composing Shapes

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Lara from Teachy


Mathematics

Original Teachy

Fractions: Composing Shapes

Lesson Plan | Socioemotional Learning | Fractions: Composing Shapes

KeywordsFractions, Geometric Shapes, Dividing Shapes, Self-Awareness, Self-Control, Responsible Decision Making, Social Skills, Social Awareness, RULER Method, Deep Breathing, Cooperation, Emotional Regulation
Required MaterialsSheets of paper, Drawings of geometric shapes (circles, squares, rectangles), Pencils, Eraser, Colored pencils or markers, Whiteboard and markers, Notebooks for notes, Computer or tablet (optional for additional visual resources)

Objectives

Duration: (10 - 15 minutes)

The purpose of this phase is to introduce students to the topic of fractions applied to geometric shapes, highlighting the importance of dividing whole shapes into equal pieces. Additionally, it aims to develop socio-emotional skills, such as self-awareness and social awareness, by recognizing and understanding the emotions that arise during the learning process. This phase establishes the foundation for meaningful and emotionally balanced learning, preparing students for the practical activities that will follow.

Main Goals

1. Develop the ability to apply the concept of fractions to geometric shapes.

2. Promote the skill of dividing whole shapes into equal parts, such as pizza slices or portions of a square plot of land.

3. Encourage recognition and understanding of the emotions involved during the learning of new mathematical concepts.

Introduction

Duration: (10 - 15 minutes)

Emotional Warm-up Activity

Calm Breathing

Deep Breathing and Relaxation

1. Ask students to sit comfortably in their chairs, with their feet firmly planted on the floor and their hands resting on their laps.

2. Explain that they will practice a deep breathing technique to help focus and relax. Instruct them to close their eyes if they feel comfortable or to fix their gaze on a point in front of them.

3. Instruct the students to inhale deeply through their nose, counting to four, feeling their belly expand.

4. Ask them to hold their breath for a moment, mentally counting to four.

5. Then, ask them to exhale slowly through their mouth, again counting to four, feeling their belly contract.

6. Repeat this deep breathing cycle five times, encouraging students to focus on the sensations of breathing and to set aside any distractions.

7. After the last exhalation, guide the students to slowly open their eyes or return their focus to the surrounding environment, feeling calmer and more focused.

Content Contextualization

The study of fractions is very relevant in daily life. For example, when we cut a pizza into slices, we are applying the concept of a fraction, dividing a whole into equal parts. Understanding fractions can help us make more informed decisions, such as dividing land with friends or sharing a birthday cake equally. Additionally, by learning about fractions and their applications, students can develop important skills such as self-awareness and social awareness. They will begin to recognize their own emotions during the learning process and the importance of working together to solve problems, promoting an environment of cooperation and respect.

Development

Duration: (60 - 75 minutes)

Theoretical Framework

Duration: (20 - 25 minutes)

1. Fraction Concept: Explain that a fraction represents a part of a whole. A fraction consists of a numerator (top part) and a denominator (bottom part), indicating how many equal parts the whole has been divided into.

2. Geometric Shapes: Show geometric shapes (circles, squares, rectangles) and explain how they can be divided into equal parts. Use practical examples, such as cutting a pizza into slices or dividing a plot of land into parcels.

3. Fraction Representation: Demonstrate how to represent fractions using geometric shapes. For example, divide a circle into 4 equal parts and shade one part to show 1/4.

4. Fraction Simplification: Explain how to simplify fractions, showing that 2/4 is equal to 1/2. Use visual examples to facilitate understanding.

5. Equivalent Fractions: Show that different fractions can represent the same quantity. For example, 2/4 and 1/2 are equivalent fractions. Use visual examples to reinforce the concept.

6. Addition and Subtraction of Fractions: Introduce the addition and subtraction of fractions with like denominators. Use examples such as 1/4 + 2/4 = 3/4.

7. Practical Application: Explain how fractions are used in daily life, such as in cooking recipes, splitting bills, or measuring land.

Socioemotional Feedback Activity

Duration: (30 - 35 minutes)

Dividing Geometric Shapes

Students will apply the concepts of fractions by dividing geometric shapes into equal parts, such as pizza slices or portions of land. This practical activity will reinforce theoretical understanding and promote group collaboration.

1. Divide the students into groups of 3 to 4.

2. Distribute sheets of paper with drawings of geometric shapes (circles, squares, rectangles).

3. Instruct each group to divide the shapes into different fractions (1/2, 1/3, 1/4, etc.) and to color the parts accordingly.

4. Ask each group to present their divisions and explain how they arrived at those fractions.

5. During the presentation, highlight the importance of working as a team and recognizing the emotions involved in the process, such as frustration in dividing correctly or satisfaction in completing the task.

Group Discussion

After the activity, gather the students for a group discussion. Use the RULER method to guide the discussion: 💬

Recognize: Ask students how they felt during the activity. Were they able to identify emotions like frustration, satisfaction, or cooperation? Understand: Discuss the causes of these emotions. How did group work influence their feelings? Were there moments of conflict or cooperation? Label: Help students accurately name their emotions. For example, if a student felt frustrated, encourage them to recognize and name that emotion. Express: Encourage students to express their emotions appropriately. They can share what they did to cope with negative feelings and how they felt upon completing the task. Regulate: Discuss strategies to regulate emotions. How can they maintain calm and cooperation in future activities? Stimulate reflection on the importance of self-control and social awareness.

Conclusion

Duration: (15 - 20 minutes)

Emotional Reflection and Regulation

Suggest that students write in their notebooks or share in a discussion circle about the challenges they faced during the class. They should reflect on how they felt while working with fractions and dividing geometric shapes, recognizing emotions such as frustration, satisfaction, or cooperation. Encourage them to think about how they dealt with these emotions and which strategies worked best to maintain calm and cooperation.

Objective: The objective of this subsection is to encourage self-assessment and emotional regulation. Written or discussion-based reflection helps students identify effective strategies for handling challenging situations. By recognizing and naming their emotions, students develop greater self-awareness and social awareness, essential skills for their personal and academic growth.

Closure and A Look Into The Future

At the end, encourage students to set personal and academic goals related to the content of the lesson. Explain the importance of establishing clear objectives to continue practicing and applying the concept of fractions in different contexts. Students can note these goals in their notebooks and share them with the class, promoting a supportive environment.

Possible Goal Ideas:

1. Practice dividing different geometric shapes at home.

2. Apply the concept of fractions in everyday situations, such as dividing food or measuring ingredients in recipes.

3. Work in teams on other projects to develop cooperation skills.

4. Regularly reflect on emotions during challenging activities and use learned emotional regulation strategies. Objective: The objective of this subsection is to strengthen students' autonomy and the practical application of learning. By setting personal and academic goals, students commit to continuity in their academic and personal development. This practice encourages responsibility, self-management, and perseverance, essential skills for future success.


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