Area of Triangles
Finding the area of triangles by decomposing them into simpler shapes or relating them to rectangles.
Key Questions
- Explain how the area of a triangle is related to the area of a rectangle with the same base and height.
- Construct a method for finding the area of any triangle.
- Analyze how changing the base or height affects a triangle's area.
Ontario Curriculum Expectations
About This Topic
The Properties of Air is the foundational topic for the study of flight. Students investigate the physical characteristics of air that make flight possible: it takes up space, has mass, exerts pressure, and can be compressed. By understanding that air is a fluid (like water), students can begin to see how it can be manipulated to create movement.
In Grade 6, students conduct experiments to prove these invisible properties. They explore how air pressure changes with speed and temperature, which leads directly into Bernoulli's principle. This topic is essential for engineering and design thinking. This topic comes alive when students can physically manipulate air through hands-on experiments and collaborative challenges that make the invisible visible.
Active Learning Ideas
Inquiry Circle: The Invisible Balloon
Pairs try to blow up a balloon inside a plastic bottle. They discover it's impossible unless there's a hole for the 'trapped' air to escape, proving that air takes up space.
Stations Rotation: Air Pressure Wonders
Stations include 'The Magic Cup' (water staying in an upside-down cup with a card), 'The Ping Pong Lift' (using a hair dryer), and 'The Collapsing Can.' Students must explain the role of air pressure at each.
Think-Pair-Share: The Heavy Air
Students are told that the air in the classroom weighs as much as a small car. They discuss with a partner why we don't feel crushed by all that weight and how air pressure works in all directions.
Watch Out for These Misconceptions
Common MisconceptionAir is 'nothing' or empty space.
What to Teach Instead
Explain that air is a mixture of gases made of particles with mass. Using a balance scale to weigh a deflated balloon versus an inflated one provides concrete evidence that air has mass.
Common MisconceptionAir only pushes down.
What to Teach Instead
Clarify that air pressure acts in all directions equally. The 'upside-down cup' experiment is a perfect way to show that air pressure pushes up strongly enough to hold water against gravity.
Suggested Methodologies
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Frequently Asked Questions
How do we know air has mass?
How can active learning help students understand the properties of air?
What is Bernoulli's Principle?
Can air be compressed?
Planning templates for Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
unit plannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
rubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
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