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Solving Quadratic Equations · Term 3

The Discriminant and Nature of Roots

Students will use the discriminant to determine the number and type of solutions (real/complex) for a quadratic equation.

Key Questions

  1. Explain how the value of the discriminant predicts the number of x-intercepts of a parabola.
  2. Differentiate between real and non-real (complex) solutions based on the discriminant's value.
  3. Analyze the graphical implications of a positive, zero, or negative discriminant.

Ontario Curriculum Expectations

CCSS.MATH.CONTENT.HSA.REI.B.4.B
Grade: Grade 10
Subject: Mathematics
Unit: Solving Quadratic Equations
Period: Term 3

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