Graphing Linear Inequalities in Two Variables
Students will graph linear inequalities in two variables on the Cartesian plane, identifying the solution region.
Key Questions
- Explain the meaning of a shaded region on a graph of a linear inequality.
- Differentiate between a solid and a dashed line when graphing inequalities.
- Construct a linear inequality that represents a given shaded region on a graph.
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.
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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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