Quadratic Functions and Equations · Algebra and Modeling

Solving Linear-Quadratic Systems

Finding the intersection of lines and parabolas using both algebraic and graphical methods.

Key Questions

  1. 1What are the possible number of solutions when a line meets a parabola, and why?
  2. 2How can systems of equations be used to model safety margins in engineering?
  3. 3Under what conditions would an algebraic solution be superior to a graphical estimation?

Ontario Curriculum Expectations

ON: Quadratic Functions - Grade 11
Grade: Grade 11
Subject: Mathematics
Unit: Quadratic Functions and Equations
Period: Algebra and Modeling

Suggested Methodologies

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The Discriminant and Nature of Roots

Using the quadratic formula to predict the number and type of solutions for a quadratic equation.

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