Investigating Vertical Translations of y=x^2
Students will explore the effect of adding a constant 'c' to y=x^2 by comparing tables of values and observing vertical shifts in plotted points, focusing on the vertex.
Key Questions
- How does adding a constant 'c' to y=x^2 change the y-values in the table?
- What is the relationship between the constant 'c' and the vertical position of the parabola's vertex?
- Compare the graphs of y=x^2 and y=x^2+c by plotting key points.
ACARA Content Descriptions
Suggested Methodologies
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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.
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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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