Modeling with Quadratic Functions
Students will create quadratic models from data or given conditions and use them to solve real-world problems.
Key Questions
- Explain how to determine if a real-world scenario is best modeled by a quadratic function.
- Design a method for finding the equation of a parabola given three points or a vertex and a point.
- Evaluate the limitations of using quadratic models to predict outcomes outside the observed data range.
Ontario Curriculum Expectations
Suggested Methodologies
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More in Quadratic Functions and Relations
Introduction to Quadratic Functions
Students will define quadratic functions, identify their standard form, and recognize their parabolic graphs.
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Properties of Parabolas
Identifying vertex, axis of symmetry, direction of opening, and intercepts from graphs and equations.
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Graphing Quadratics in Standard Form
Students will graph quadratic functions given in standard form (y = ax^2 + bx + c) by finding the vertex and intercepts.
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Vertex Form of a Quadratic Function
Students will understand and graph quadratic functions in vertex form (y = a(x-h)^2 + k) and identify transformations.
2 methodologies
Transformations of Quadratics
Applying horizontal and vertical shifts and stretches to the parent quadratic function.
1 methodologies