Grade: 7 Subject: Mathematics Topic: Alternate Interior Angles

Introduction: - Begin the lesson by asking students if they have ever noticed any patterns or relationships between angles when lines intersect. - Explain that today’s lesson will focus on a specific type of angle relationship called alternate interior angles. - State the learning objective: By the end of the lesson, students will be able to identify and solve problems involving alternate interior angles.

Differentiation: - For students who need extra support, provide visual aids such as diagrams and manipulatives to help them understand the concept. - For students who are ready for a challenge, encourage them to explore the relationship between alternate interior angles and parallel lines.

Outline: 1. Warm-up activity (5 minutes): - Display a diagram of intersecting lines on the board. - Ask students to identify any angles they can see and label them. - Discuss their answers as a class.

1. Introduction to alternate interior angles (10 minutes):
   • Define alternate interior angles as pairs of angles that are on opposite sides of the transversal and inside the two lines.
   • Show examples of alternate interior angles using diagrams.
   • Explain that alternate interior angles are congruent when the lines are parallel.
2. Identifying alternate interior angles (15 minutes):
   • Provide students with a worksheet or a set of practice problems.
   • Instruct them to identify and label the alternate interior angles in each diagram.
   • Circulate the classroom to provide assistance and check for understanding.
3. Solving problems involving alternate interior angles (15 minutes):
   • Present word problems that involve alternate interior angles.
   • Guide students through the process of setting up equations and solving for missing angles.
   • Encourage students to explain their reasoning and share their solutions with the class.
4. Group activity (10 minutes):
   • Divide the class into small groups.
   • Provide each group with a set of parallel lines and a transversal.
   • Instruct them to identify and measure the alternate interior angles using protractors.
   • Have each group present their findings to the class.

Conclusion: - Recap the main points of the lesson: alternate interior angles are pairs of angles on opposite sides of the transversal and inside the two lines. - Emphasize that alternate interior angles are congruent when the lines are parallel. - Ask students to reflect on how they can apply their knowledge of alternate interior angles in real-life situations. - Assign homework that reinforces the concept of alternate interior angles, such as additional practice problems or an online activity.