Pythagoras' Theorem: Finding a Shorter Side
Students will apply Pythagoras' Theorem to find the length of a shorter side in right-angled triangles.
Key Questions
- Justify why Pythagoras' Theorem is only applicable to right-angled triangles.
- Differentiate between finding the hypotenuse and finding a shorter side.
- Analyze common errors when rearranging the formula to find a shorter side.
ACARA Content Descriptions
About This Topic
Physical Theater and Mime focuses on the body as the primary instrument of communication. In Year 9, students move away from the safety of dialogue to explore how gesture, weight, and space can tell a complete story. This topic aligns with ACARA's focus on developing physical control and using movement to represent complex narratives and power dynamics.
Students learn to use 'levels' to show status and 'tension' to convey internal conflict. This topic is inherently active and student-centered. It relies on physical modeling and peer observation, where students must 'read' each other's bodies to understand the plot. This hands-on approach builds spatial awareness and ensemble skills that are foundational to all dramatic practice.
Active Learning Ideas
Simulation Game: The Invisible World
In pairs, students must 'build' an invisible room using only mime. They must agree on where the door, the heavy table, and the fragile vase are, then perform a scene where they interact with these objects without speaking.
Inquiry Circle: Status Levels
Groups are given a scenario (e.g., a king and a beggar). They must perform the scene three times, changing who is physically 'higher' or 'lower' each time, and discuss how this changes the power dynamic.
Gallery Walk: Emotional Statues
Half the class creates a 'frozen statue' of a complex emotion (e.g., 'betrayal'). The other half walks through the 'gallery', identifying the tension points in the bodies that make the emotion clear.
Watch Out for These Misconceptions
Common MisconceptionMime is just about 'trapped in a box' jokes.
What to Teach Instead
Mime is a sophisticated language of the body used in everything from Cirque du Soleil to contemporary drama. Active workshops on 'weight' and 'resistance' help students move past the clichés.
Common MisconceptionPhysical theater is only for 'athletic' students.
What to Teach Instead
It is about intention and control, not just acrobatics. Peer-to-peer coaching helps students of all abilities find ways to use their unique physical presence to tell a story.
Suggested Methodologies
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Frequently Asked Questions
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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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