Continuity of Functions
Students define continuity, identify types of discontinuities, and apply the conditions for continuity.
Key Questions
- Justify the three conditions required for a function to be continuous at a point.
- Differentiate between removable and non-removable discontinuities.
- Analyze how continuity impacts the existence of a limit at a point.
Ontario Curriculum Expectations
About This Topic
Deconstructing diet culture is about developing a critical lens to view the multi-billion dollar weight loss and supplement industries. Grade 12 students analyze how social media algorithms, celebrity endorsements, and 'fad' marketing shape our perceptions of health and beauty. They learn to identify the 'red flags' of restrictive diets and the physiological dangers of unregulated supplements. This literacy is essential for protecting their mental and physical well-being in a digital world.
This topic connects to Ontario's Healthy Living and Living Skills expectations, focusing on self-esteem, media literacy, and informed decision-making. It encourages a 'Health at Every Size' (HAES) approach and a positive relationship with food. This topic comes alive when students can actively 'debunk' marketing claims and create their own counter-messaging that promotes body neutrality and balanced wellness.
Active Learning Ideas
Inquiry Circle: The Supplement Deep-Dive
Groups are given a popular fitness supplement (e.g., pre-workout, fat burners). They must find the actual scientific research on the ingredients and compare it to the marketing claims on the bottle, presenting their 'truth report' to the class.
Gallery Walk: Ad Deconstruction
Display various 'diet' and 'fitness' ads from social media. Students move through with a checklist to identify 'fear-based marketing,' 'unrealistic body standards,' and 'pseudo-science' used to sell the products.
Think-Pair-Share: The 'Fad' Red Flag List
Students brainstorm a list of signs that a diet is a 'fad' (e.g., cutting out whole food groups, promising fast results). They pair up to refine the list and then create a 'Consumer Protection Guide' for their peers.
Watch Out for These Misconceptions
Common MisconceptionSupplements are safe because they are sold in stores.
What to Teach Instead
In Canada, supplements are regulated differently than drugs and don't always require the same level of pre-market testing. Students need to see that 'natural' doesn't always mean 'safe.' The 'Supplement Deep-Dive' helps them see the gap between marketing and safety.
Common MisconceptionYou can tell how healthy someone is just by looking at them.
What to Teach Instead
Health is a complex mix of genetics, habits, and mental well-being that isn't always visible. Diet culture often equates 'thinness' with 'health,' which can lead to disordered behaviors. Peer discussions about body neutrality help challenge this visual bias.
Suggested Methodologies
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Frequently Asked Questions
What is 'diet culture'?
How do I talk about weight without causing harm?
Are all supplements bad?
How can active learning help students deconstruct diet culture?
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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