Students will be able to identify, define, and apply vertical angles, as well as prove the Vertical Angles Theorem.
Students will be given a worksheet with various pairs of intersecting lines, and they will need to identify the vertical angles in each pair and prove their congruence using the Vertical Angles Theorem.
Definition of vertical angles
Vertical Angles Theorem
Identifying vertical angles in intersecting lines
Proving vertical angles are congruent
Common misconception: Thinking that adjacent angles are always vertical angles
Engage students by displaying a diagram with intersecting lines and ask: "What do you notice about the angles formed by these intersecting lines?"
Discuss the definition of vertical angles and provide visual examples
Explain the Vertical Angles Theorem and how it relates to congruence
Anticipate misconception: Some students may confuse vertical angles with adjacent angles
Students will work in pairs to identify and label vertical angles in given diagrams
Scaffold questioning from easier examples to more complex ones
Monitor student performance by circulating the room and providing guidance as needed
Students will complete a worksheet where they identify and prove the congruence of vertical angles in various scenarios
Provide clear instructions and examples for reference
Reinforce the importance of proving congruence using the Vertical Angles Theorem
Have students share their findings on vertical angles with the class
Summarize the key points of the lesson and have students explain the Vertical Angles Theorem in their own words
For early finishers, have them create their own set of intersecting lines with vertical angles for a classmate to solve
Homework suggestion: Have students find real-world examples of intersecting lines and vertical angles, take a photo, and write a short explanation of how they know the angles are vertical.
CCSS Standard: G-CO.A.3 - Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
CCSS Standard: G-CO.A.3 - Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.