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Lesson plan of Addition and Subtraction of Decimal Numbers

Mathematics

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Addition and Subtraction of Decimal Numbers

Lesson Plan | Socioemotional Learning | Addition and Subtraction of Decimal Numbers

KeywordsAddition of Decimal Numbers, Subtraction of Decimal Numbers, Socioemotional Skills, Self-Awareness, Self-Control, Responsible Decision-Making, Social Skills, Social Awareness, RULER Method, Mindfulness, Calculation Strategies
Required MaterialsWorksheets with problems of addition and subtraction of decimal numbers, Pencils, Erasers, Notebooks, Calculators (optional), Whiteboard, Markers, Clock or timer (for time-limited activities)

Objectives

Duration: (10 - 15 minutes)

The purpose of this stage of the Socioemotional Lesson Plan is to prepare students for understanding mathematical operations with decimal numbers. In addition to introducing fundamental concepts of addition and subtraction, this stage aims to develop socioemotional skills, such as self-awareness and responsible decision-making, through the recognition and understanding of their own emotions and the emotions of peers during the learning of new mathematical content.

Main Goals

1. Recognize the properties of addition and subtraction of decimal numbers.

2. Solve problems involving addition and subtraction of decimal numbers using various strategies, such as algorithmic calculations.

Introduction

Duration: (20 - 25 minutes)

Emotional Warm-up Activity

Breath Mindfulness

This activity is called 'Breath Mindfulness' and aims to promote focus, presence, and concentration among students. 'Breath Mindfulness' is a simple yet powerful practice of paying full attention to breathing, which helps calm the mind and prepare students for learning. It involves being aware of the sensations of air entering and leaving the body, which aids in reducing anxiety and increasing attention.

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

2. Guide students to close their eyes or focus on a fixed point in front of them.

3. Instruct them to begin breathing slowly and deeply through their nose, filling their lungs with air and then releasing the air through their mouth.

4. Explain that they should pay attention to the sensations of breathing – the air entering through the nose, filling the lungs, and exiting through the mouth.

5. If any student's mind begins to wander, kindly ask them to bring their attention back to their breathing without judging themselves.

6. Continue this practice for approximately 3 to 5 minutes, maintaining a calm and relaxing tone of voice.

7. After finishing, ask students to slowly open their eyes and do some light stretching before refocusing on the lesson.

Content Contextualization

The addition and subtraction of decimal numbers are extremely important skills in daily life. For example, when shopping, calculating change, or splitting a restaurant bill, we use these concepts. Furthermore, these operations are fundamental in many professions, such as engineering, accounting, and sciences. Understanding how to handle decimal numbers not only helps in school but also is a practical and useful skill in adulthood.

However, learning math can be challenging and even frustrating for some students. This is where the importance of socioemotional skills comes in. By recognizing and understanding the emotions that arise during learning, such as frustration or anxiety, students can learn to regulate these emotions and improve their concentration and performance. It is also important to express these emotions appropriately and seek help when needed, creating a more collaborative and empathetic classroom environment.

Development

Duration: (60 - 75 minutes)

Theoretical Framework

Duration: (20 - 30 minutes)

1. ### 易 Main Components of Addition and Subtraction of Decimal Numbers

2. Definition of Decimal Numbers: Decimal numbers are numbers that have an integer part and a fractional part, separated by a comma.

3. Properties of Addition of Decimal Numbers: The addition of decimal numbers follows the same properties as whole numbers, such as the commutative property (the order of the addends does not change the sum) and the associative property (the grouping of the addends does not change the sum).

4. Properties of Subtraction of Decimal Numbers: The subtraction of decimal numbers also follows the properties of whole numbers, such as the property of subtraction (subtracting one number from another is the same as adding its opposite).

5. Example of Addition of Decimal Numbers: 12.45 + 3.67 = 16.12

6. Example of Subtraction of Decimal Numbers: 15.75 - 4.30 = 11.45

7. Calculation Strategies: Use the alignment of the commas to add or subtract decimal numbers. This ensures that the integer and fractional parts are correctly added or subtracted.

8. Analogy: Think of decimal numbers as money. For example, R$ 12.45 represents twelve reais and forty-five cents. Adding or subtracting decimal numbers can be compared to adding or taking away money.

Socioemotional Feedback Activity

Duration: (30 - 35 minutes)

✨ Decimal Addition and Subtraction Activity

In this activity, students will solve a series of practical problems involving addition and subtraction of decimal numbers. They will work in pairs to promote social skills and collaboration, and each pair will discuss their strategies and results.

1. Divide students into pairs.

2. Distribute a worksheet with problems on addition and subtraction of decimal numbers.

3. Instruct students to solve the problems together, discussing each step and checking each other’s answers.

4. After solving the problems, ask them to discuss how they felt during the activity. Was there frustration? Joy? How did they handle those emotions?

5. Circulate around the room to provide support and observe the students' interactions.

Group Discussion

After the activity, gather students in a circle for a group discussion. Use the RULER method to guide the discussion. Recognize the emotions students felt during the activity by asking how they felt when facing challenging problems. Understand the causes of those emotions by discussing what made certain problems harder or easier. Label the emotions correctly, helping students identify if they felt frustration, joy, anxiety, etc. Express emotions appropriately, encouraging students to share their experiences and feelings openly and respectfully. Finally, Regulate emotions effectively by discussing strategies to deal with negative feelings, such as asking for help or taking a break to breathe.

Conclusion

Duration: (20 - 25 minutes)

Emotional Reflection and Regulation

To reflect on the challenges faced in class and how students managed their emotions, suggest they write a brief paragraph or participate in a group discussion. During this activity, ask students to think about moments when they felt challenged or frustrated and how they handled those emotions. Encourage them to share strategies they found effective and could use in the future.

Objective: The aim of this activity is to encourage self-assessment and emotional regulation, helping students identify effective strategies for dealing with challenging situations. This will enable them to develop greater awareness of their emotions and improve their self-control skills, applying these lessons to learning about decimal addition and subtraction and beyond.

Closure and A Look Into The Future

At the end of the lesson, ask students to set personal and academic goals related to the content learned. Explain that these goals may include improving accuracy when solving problems of addition and subtraction of decimals, practicing more exercises at home, or helping a peer with difficulties. Encourage them to think about how they can apply what they learned in practical situations in daily life.

Possible Goal Ideas:

1. Improve accuracy when solving problems of addition and subtraction of decimal numbers.

2. Regularly practice exercises of addition and subtraction of decimals at home.

3. Help a classmate who has difficulties with decimal numbers.

4. Apply knowledge of decimal numbers in everyday situations, such as shopping.

5. Develop a study plan that includes regular practice of operations with decimals. Objective: The objective of this subsection is to strengthen students' autonomy and practical application of learning, aiming for continuity in academic and personal development. By setting clear goals, students can monitor their own progress and remain motivated to continually improve their skills in math and other areas.

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