Objectives (5 - 7 minutes)

During this initial stage of the lesson, the teacher will:

1. Introduce the topic of Supplementary, Complementary, Vertical, and Adjacent Angles and explain its importance in the field of geometry, symmetry, and real-life situations where angles need to be identified.

2. Define the learning objectives for the lesson, which include:

   • Understanding the properties and relationships between different types of angles (Supplementary, Complementary, Vertical, and Adjacent Angles).
   • Applying this knowledge to solve problems involving these types of angles.
   • Developing the skills to identify these types of angles in real-world situations.

3. Briefly outline the structure of the lesson, explaining that students will first learn about the topic at home, then apply their understanding in class.

Secondary objectives for this stage include setting a positive tone for the lesson, engaging students' interest in the topic, and encouraging active participation throughout the lesson.

Introduction (7 - 10 minutes)

In this stage, the teacher will:

1. Remind students of the basic concepts of angles and geometry, necessary to understand the current lesson's topic. This includes a quick review of what an angle is, how they are measured, and the importance of angles in geometry (3 minutes).

2. Present two problem situations to stimulate students' interest and curiosity, serving as a starter for the theory's development:

   • Problem 1: "Imagine you are a photographer trying to capture the perfect sunset. You notice that the sun is creating a beautiful play of colors on the water. What angle would the sun's rays need to hit the water to cause this effect?"
   • Problem 2: "Think about the last time you saw a beautiful, symmetrically designed building. Did you ever stop to think about the angles involved in creating that symmetry?" (2 minutes)

3. Contextualize the importance of the subject by connecting it with real-world applications. The teacher can mention architecture, sports (like golf or pool where angles play a vital role), and the use of angles in arts and design. This helps students understand the practical applications of understanding angles (2 minutes).

4. Introduce the topic to grab students' attention by sharing two interesting facts:

   • Fact 1: "Did you know that the angles of a triangle always add up to 180 degrees, no matter the size or shape of the triangle? This is due to the property of supplementary angles!"
   • Fact 2: "Did you know that the Eiffel Tower, one of the most famous landmarks in the world, was designed using complex calculations involving angles? It's a real-world example of how understanding angles helps us create stunning structures." (3 minutes)

At the end of this stage, students should feel intrigued by the topic, understand its real-world applications, and be prepared to learn more about Supplementary, Complementary, Vertical, and Adjacent Angles.

Development

Pre-Class Activities (10 - 15 minutes)

In this phase of the lesson, students will engage in learning activities at home to prepare for the collaborative, hands-on classroom activities. The teacher will prepare and provide learning materials to the students, including:

1. Read & Understand: A clearly worded text covering the basics of Supplementary, Complementary, Vertical, and Adjacent Angles, which will include examples and non-technical language to make it easy for the students to understand. The reading material will also detail the characteristics and relationships among these types of angles. The students are expected to read and understand the content thoroughly.

2. Watch & Learn: Links to engaging educational videos about angles in real-life applications. The short clips will include discussions about their properties and how to identify them. The teacher should ensure that the videos are fun, engaging, and most importantly, educational, reinforcing the concepts described in the reading materials.

3. Quiz Time: An online interactive quiz with multiple choice questions to check the students' comprehension of the pre-class materials. The quiz will include questions on identifying the types of angles and determining their properties.

4. Think and Reflect: A reflection activity where students will be asked to observe the angles in their surroundings (for example, in their homes, buildings and structures outside, or even on TV), identify them and write a short paragraph about where they found them and what type of angles they think they are.

In-Class Activities (20 - 22 minutes)

During the class, students will actively participate in problem-solving and project-based learning activities to deepen their understanding of the topic. The teacher will guide the students through each activity, offering support as needed.

Activity 1: "Angle Chase"

1. Group Formation (2 minutes): The teacher will divide students into groups of 4 or 5 and assign each group a station inside the classroom.

2. Activity Explanation (3 minutes): The teacher will explain that each station has a real-life situation problem involving complementary, supplementary, vertical and adjacent angles. The students' task is to identify the type of angles in the problem and use this knowledge to solve the problem. The teacher will hand out worksheets to each group that include the problems and a space for solutions.

3. Problem-Solving (10 minutes): The students will work together within their groups to solve the problems. The teacher will circulate among the groups, guiding discussions and clarifying questions as necessary.

4. Presentation (5 minutes): Once a group solves a problem, they present their solution to the rest of the class. The teacher will facilitate a classroom discussion about the solution, during which other groups can offer their inputs or alternative solutions.

Activity 2: "Building with Angles"

1. Introduction (2 minutes): After wrapping up the "Angle Chase," the teacher will introduce the next activity. Each group will be given a set of building blocks that are marked with different angles on their corners.

2. Building Time (10 minutes): The teacher will instruct the students to build structures where each corner's angle type (complementary, supplementary, vertical, or adjacent) has to be identified. They have to ensure that the angles correctly meet the definitions of their types.

3. Presentation and Discussion (5 minutes): Each group presents their structure to the class, identifying each angle type they've used. The class discusses and questions each presentation. The teacher facilitates the discussion, ensuring every student understands the correct use of each angle type in the structures.

At the end of these activities, the students should have developed a deeper understanding of the topic, learning how to identify different types of angles and their properties, and consulting and collaborating effectively with their classmates. They should also feel confident to answer questions and explain the topic to others.

Feedback (6 - 8 minutes)

During this final stage of the lesson, the teacher will:

1. Group Discussion (3 - 4 minutes): Facilitate a group discussion where each group has a chance to share their solutions or conclusions from the "Angle Chase" and "Building with Angles" activities. Each group will have up to three minutes to present, ensuring that all students have a chance to voice their thoughts and reflections. The teacher should guide the conversation, ensuring it stays on topic, and provide constructive feedback on the students' work.

2. Connecting Theory to Practice (1 - 2 minutes): After all groups have presented, the teacher should summarize the main points from the discussion, highlighting how the activities connect with the theory. They should emphasize how the practical, hands-on activities helped students better understand the properties and relationships between Supplementary, Complementary, Vertical, and Adjacent Angles.

3. Reflection (2 minutes): Finally, the teacher will propose that students take a moment to reflect on the day's lesson. They will present the following questions for students to consider:

   1. "What was the most important concept you learned today?"
   2. "What questions do you still have about Supplementary, Complementary, Vertical, and Adjacent Angles?"
   3. "Can you think of any other real-life situations where understanding these types of angles could be beneficial?"

At this stage, the teacher can use the reflection time to gauge the students' understanding of the lesson and identify any areas that might need further explanation or reinforcement in future lessons. It also provides an opportunity for students to make the connection between the theory they've learned and its practical applications, enhancing their understanding of the topic.

At the end of this stage, students should have a clear understanding of the day's lesson, have a chance to reflect on what they've learned, and feel confident in their understanding of Supplementary, Complementary, Vertical, and Adjacent Angles.

Conclusion (5 - 7 minutes)

During the concluding stage of the lesson, the teacher will:

1. Summarize the Lesson (2 minutes): The teacher will first recap the main points of the lesson. This includes the definitions and properties of Supplementary, Complementary, Vertical, and Adjacent Angles, and how they are used in real-world situations. The teacher will also highlight the importance of understanding these concepts for problem-solving in geometry and symmetry.

2. Connect Theory to Practice (1 - 2 minutes): The teacher will then emphasize how the various activities carried out during the lesson, including the "Angle Chase" and "Building with Angles," enabled students to apply their knowledge in practical scenarios. The teacher will stress that the flipped classroom approach used in the lesson ensured that students were not just passive recipients of knowledge, but active participants in their learning process.

3. Suggest Additional Resources (1 - 2 minutes): The teacher will recommend additional resources for the students to explore in order to consolidate their understanding of the topic. This can include online games that involve identifying and applying different types of angles, YouTube videos that explain the concepts in a fun and engaging way, and websites that provide more in-depth information on the topic. The teacher will encourage students to explore these resources at their own pace and share their findings in the next class.

4. Reiterate the Importance of the Topic (1 minute): Finally, the teacher will re-emphasize the real-life applications of understanding Supplementary, Complementary, Vertical, and Adjacent Angles by giving examples from architecture, sports, and design. The teacher will explain that having this knowledge will allow students to appreciate the beauty of the world around them in a new light, and also equip them with the tools to create their own designs and structures in a more informed way.

By the end of the conclusion, the students should have a clear understanding of the day's lesson, feel confident about their grasp on the topic, and be curious to explore it further on their own.