Topic: Special Relativity Part 2: Time Dilation and the Twin Paradox (Focus: Time Dilation Only)

Develop a semi-detailed 7E Lesson plan using the following structure:

Engage- Start with an engaging activity of question to capture students attention and introduce the topic.
Explore- Facilitate activities or discussions that allows students to explore and understand the concepts presented in the video.
Explain- Provide explanations, clarifications and additional information to deepen students understanding of the topic.
Elaborate- Engage students in activities or tasks that encourage critical thinking, problem solving, and application of the concepts learned.
Evaluate- Assess students comprehension and mastery of the topic through formative or summative assessment methods. Use only HOTS multiple choice questions (5 items)
Extend- Offer extension activities or resources for students who want to delve deeper into the topic.
Evaluate- Conclude the lesson with a recap of the key points and brief reflection on the learning experience.

Engage: Show a video clip of a spaceship traveling near the speed of light and discuss with students how time might be perceived differently for someone on the ship compared to someone on Earth. Ask students to brainstorm ideas about why this might happen.

Explore: Provide students with the formula for time dilation (Δt = Δt0 / √(1 - v^2/c^2)) and have them work in pairs to calculate how much time would pass for someone traveling at 90% of the speed of light compared to someone at rest.

Explain: Discuss with students how time dilation occurs when an object is moving at a high velocity relative to an observer. Explain that time appears to move slower for the object in motion compared to the observer at rest.

Elaborate: Have students work in groups to come up with scenarios where time dilation could have real-life consequences, such as in GPS satellites or particle accelerators. Ask them to explain how time dilation would affect these scenarios.

Evaluate:
1. Which of the following statements is true about time dilation?
a) Time always moves faster for objects in motion compared to objects at rest.
b) Time always moves slower for objects in motion compared to objects at rest.
c) Time dilation only occurs for objects traveling at the speed of light.
d) Time dilation does not exist.

2. What is the formula for time dilation?
a) Δt = Δt0 / (1 - v^2/c^2)
b) Δt = Δt0 * (1 - v^2/c^2)
c) Δt = Δt0 * √(1 - v^2/c^2)
d) Δt = Δt0 / √(1 - v^2/c^2)

3. If an object is moving at 80% of the speed of light, how much time would pass for it compared to an observer at rest?
a) More time would pass for the object in motion.
b) Less time would pass for the object in motion.
c) The same amount of time would pass for both.
d) Time would stop for the object in motion.

4. How does time dilation affect objects in motion?
a) Time appears to move faster for objects in motion.
b) Time appears to move slower for objects in motion.
c) Time appears to be the same for both objects in motion and at rest.
d) Time dilation has no effect on objects.

5. Give an example of a real-life scenario where time dilation plays a significant role.
a) Riding a bicycle at a slow speed.
b) Using a stopwatch to time a race.
c) GPS satellites in orbit around Earth.
d) Cooking dinner at home.

Extend: Provide students with additional resources, such as articles or videos, about time dilation and its effects on space travel. Encourage them to research more about the topic on their own.

Evaluate: Conclude the lesson by revisiting the key points of time dilation and asking students to reflect on the impact of this phenomenon on our understanding of time and space. Encourage students to ask questions and continue exploring the topic further.