
Equations of Circles
Students determine the equation of a circle with its centre at the origin and solve related geometric problems.
About This Topic
Students determine the equation of a circle with its centre at the origin and solve related geometric problems.
Key Questions
- How does the distance formula relate to the equation of a circle?
- What does the radius represent in the standard equation?
- How do we determine if a point lies on, inside, or outside a circle?
Planning templates for Principles of 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.
More in Analytic Geometry
Midpoint and Length of a Line Segment
Students develop and apply formulas for the midpoint and length of a line segment on the Cartesian plane.
2 methodologies
Properties of Geometric Figures
Students use analytic geometry to verify properties of polygons, such as triangles and quadrilaterals.
2 methodologies