Objectives (5 minutes)

1. Introduce the concepts of decimal place value, focusing on tenths and hundredths in a simple and playful way, using examples from students' daily lives;
2. Teach students to read and write decimal numbers correctly, emphasizing the importance of the decimal point in representing place value;
3. Provide students with the opportunity to engage in practical activities to enhance their understanding and application of tenths and hundredths.

Secondary Objectives:

1. Develop students' logical-mathematical reasoning skills through problem-solving and problem-solving situations involving decimal representation;
2. Encourage active participation of students in the class, promoting dialogue and exchange of ideas among them and with the teacher;
3. Stimulate students' interest and curiosity in Mathematics, showing the applicability of concepts in daily life and in different contexts.

Introduction (10 - 15 minutes)

1. Reviewing Previous Content: The teacher starts the lesson by reviewing with students the decimal numbering system, which is the most commonly used system in daily life. Briefly explains that this system is composed of ten symbols (0 to 9) and that the position of each symbol in the number indicates the value it represents.

2. Problem-Solving Scenarios: The teacher presents two problem-solving scenarios to contextualize the importance of the lesson content:

   • "Let's imagine the class received 100 candies. If we have to divide them equally among all students in the class, how many candies will each one receive? How can we represent this division?"

   • "And if I have to divide a pizza into 10 slices, but I only ate 7 slices. How can we represent this situation using numbers?"

3. Contextualization: The teacher explains that in daily life, we often need to divide something into smaller parts, and that decimal numbers help us represent these parts. Emphasizes that these numbers are used in various situations, such as in measurements of length, weight, money, time, among others.

4. Capturing Students' Attention: The teacher presents two curiosities to arouse students' interest:

   • "Did you know that the decimal numbering system we use today was created by Hindus and Arabs over 1,000 years ago? They used stones to represent numbers, and the 0, which is so important for our system, was an invention of the Hindus!"

   • "Have you heard of fractions? They are also used to represent parts of a whole, but decimal numbers are more precise for this. In fact, fractions can be written in decimal form and vice versa!"

By the end of this stage, students should be ready to learn the concepts of tenths and hundredths and how they fit into the decimal numbering system.

Development (20 - 25 minutes)

1. Explanation of the concept of tenths (10 minutes)

   1.1. Activity 1 - "Dividing the Pizza": The teacher continues the lesson with a practical activity. Draws a pizza on the board and divides it into 10 equal parts. Then, asks a volunteer student to point to one of the slices. The teacher then emphasizes that the pointed slice is a "tenth" of the pizza.

   1.2. Activity 2 - "Measuring with the Ruler": The teacher draws a ruler on the board and asks students how long one centimeter is. Then, the teacher points to a space that is a little larger than one centimeter, but smaller than two centimeters, and explains that this space is a "tenth" of the centimeter.

   1.3. Theoretical Explanation: After the activities, the teacher explains that "tenth" means a part divided into 10 equal parts. Reinforces that this idea can be applied to other situations, such as dividing a chocolate bar, a measuring tape, or even time.

2. Explanation of the concept of hundredths (10 minutes)

   2.1. Activity 3 - "One hundredth of a Real": The teacher shows a 1 real coin and asks students if they know how much 1 centavo represents. Then, the teacher explains that 1 centavo is the same as "one hundredth" of 1 real.

   2.2. Activity 4 - "One hundredth of a Minute": The teacher draws a clock on the board and asks students how long one minute lasts. Then, the teacher points to a very small space on the clock and explains that this space represents "one hundredth" of a minute.

   2.3. Theoretical Explanation: After the activities, the teacher explains that "hundredth" means a part divided into 100 equal parts. Reinforces that this idea can be applied to other situations, such as measuring the weight of an object, temperature, or even money.

3. Practice Activities (5 - 10 minutes)

   3.1. Activity 5 - "Decimal Dice Game": The teacher hands out decimal dice to students, each with faces representing a decimal value from 0.1 to 0.9. In pairs, students roll the dice and for each roll, record the decimal number that appears. After a few rounds, the teacher questions the students about the numbers that were rolled and asks them to explain the value in terms of tenths.

   3.2. Activity 6 - "Hunting for Hundredths": The teacher distributes 1 real and 1 cent coins to the students. They must choose a coin without seeing it and, when showing it, explain how many hundredths that coin represents of the real.

The proposed activities should be adapted according to the availability of materials and the class context. Students should be encouraged to actively participate in the activities, discussing and sharing their answers with the class. The teacher should move around the room, assisting students and clarifying any doubts that may arise.

Return (10 - 15 minutes)

1. Group Discussion (5 - 7 minutes)

   1.1. Concept Review: The teacher gathers all students in a large circle and begins discussing the solutions to the activities. Asks students to share their answers and explain how they arrived at them. The teacher takes the opportunity to review the concepts of tenths and hundredths, ensuring that all students understand the material.

   1.2. Connection to Theory: During the discussion, the teacher reinforces the connection between practical activities and the theory presented. Emphasizes that the problem-solving scenarios and activities were designed to help students understand how tenths and hundredths are used in real life.

2. Reflection (3 - 5 minutes)

   2.1. Reflection Questions: The teacher proposes two questions for students to briefly reflect on what they have learned:

   - "How can you use what you learned today about tenths and hundredths in your daily lives?"
   - "Did you find it easy or difficult to understand the decimal representation of tenths and hundredths? Why?"
   

   2.2. Answers Aloud: After the reflection break, the teacher asks some students to share their answers with the class. Reinforces the idea that Mathematics is not just something learned in school, but an important tool for everyday life.

3. Final Review (2 - 3 minutes)

   3.1. Summarization: The teacher gives a final review of the main points covered in the lesson, emphasizing the importance of the decimal point in the representation of decimal numbers.

   3.2. Lesson Closure: The teacher concludes the lesson by thanking everyone for their participation and encouraging students to continue exploring and learning about decimal numbers.

In this stage, it is important for the teacher to create a safe and welcoming environment where students feel comfortable sharing their reflections and doubts. The teacher should promote an attitude of respect and appreciation for each student's contributions, reinforcing that everyone is learning together.

Conclusion (5 - 10 minutes)

1. Lesson Summary (2 - 3 minutes)

   1.1. Review of Key Concepts: The teacher begins the conclusion of the lesson by summarizing the main points covered, reinforcing the concepts of tenths and hundredths. Reminds students that a tenth represents a part divided into 10 equal parts, and a hundredth represents a part divided into 100 equal parts.

   1.2. Connection between Theory and Practice: The teacher emphasizes that the theoretical concepts presented were applied in practical and real situations during the lesson activities. Highlights that Mathematics is not just a set of rules and formulas, but a useful tool for solving everyday problems.

2. Extra Materials (2 - 3 minutes)

   2.1. Reading and Video Suggestions: The teacher suggests that students reinforce their learning by watching videos or reading children's books that address the topic of decimal numbers. Can recommend educational videos available on the internet, such as those from the "Matemática Rio" channel, and books like "O Menino que Aprendeu a Ver" by Ruth Rocha.

   2.2. Online Games and Activities: Additionally, the teacher can suggest interactive online games that help reinforce the lesson content. For example, the game "Decimaker" on the "Mangahigh" website allows students to explore the concept of tenths and hundredths in a fun and interactive way.

3. Importance of the Subject (1 - 2 minutes)

   3.1. Applications in Daily Life: Finally, the teacher reinforces the importance of the learned content for everyday life. Shows students how decimal numbers are used in various situations, such as measuring time, distances, money, and even in cooking.

   3.2. Preparation for the Future: The teacher also emphasizes that knowledge of decimal numbers is essential for understanding other more complex mathematical topics that will be addressed in the future, such as fractions and decimal operations.

At the end of the lesson, students should have acquired a basic and solid understanding of the concepts of tenths and hundredths, and be motivated to continue exploring and learning about the topic. Through the use of practical activities, group discussions, and individual reflections, the teacher should have promoted an active learning environment where students feel confident to participate and express their ideas.