Elasticity of Demand
Students will calculate and interpret price elasticity of demand, understanding its implications for revenue and policy.
Key Questions
- Explain why some goods have elastic demand while others are inelastic.
- Analyze how elasticity affects a firm's pricing strategy.
- Predict the revenue impact of a price change for goods with different elasticities.
Ontario Curriculum Expectations
About This Topic
Universal gravitation expands the study of forces from the Earth's surface to the entire cosmos. Students learn that every mass in the universe attracts every other mass, governed by Newton's Inverse Square Law. This topic is essential for understanding the orbits of the Moon, the International Space Station, and the many satellites that provide telecommunications to remote Canadian communities.
In the Ontario curriculum, this topic serves as a bridge between classical mechanics and modern space science. It allows students to calculate gravitational field strength on other planets and understand why 'weightlessness' is actually a state of freefall. Students grasp this concept faster through structured simulations and data analysis of planetary orbits.
Active Learning Ideas
Simulation Game: Orbit Architect
Using a gravity simulator, students must place a satellite into a stable circular orbit around Earth. They must calculate the required orbital velocity for a specific altitude and then test it. They then try to create a 'geostationary' orbit and explain why the speed must be precise.
Inquiry Circle: Weighing the Planets
Groups are given the mass and radius of different celestial bodies (Mars, Jupiter, the Moon). They calculate the gravitational field strength (g) for each and then determine how high they could jump on that world compared to Earth, presenting their findings in a 'Travel Guide to the Solar System.'
Gallery Walk: The History of Gravity
Post information about different cultural understandings of the cosmos, including Indigenous sky stories (like the Great Bear/Big Dipper) and the work of Kepler and Newton. Students rotate to compare how different cultures observed and predicted the 'pull' of the heavens.
Watch Out for These Misconceptions
Common MisconceptionThere is no gravity in space or on the ISS.
What to Teach Instead
Gravity at the altitude of the ISS is about 90% of Earth's surface gravity. Astronauts feel weightless because they are in a constant state of freefall. A 'falling elevator' thought experiment helps students understand this distinction.
Common MisconceptionThe Earth's pull on the Moon is stronger than the Moon's pull on the Earth.
What to Teach Instead
According to Newton's Third Law, these forces are exactly equal in magnitude. Students often struggle with this because the Earth doesn't 'move' as much; peer discussion about the relationship between force, mass, and acceleration (F=ma) helps clarify why the smaller mass reacts more visibly.
Suggested Methodologies
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Frequently Asked Questions
How does universal gravitation affect the tides in the Bay of Fundy?
What is the significance of the Inverse Square Law?
What are the best hands-on strategies for teaching gravitational fields?
How can active learning help students understand satellite motion?
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Determinants of Supply
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Elasticity of Supply
Students will calculate and interpret price elasticity of supply, understanding its implications for producer response to price changes.
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