Discriminate between the types of roots. The interactive root introduces the discriminant and its connection to the types and number of roots. Pupils use a slider to view graphically the effect of the sign of the discriminant on a parabola. They use that information to determine the number of real roots.

Concepts

graphing quadratics, quadratic equations, quadratic functions, quadratic formula, solving quadratics, discriminant

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Additional Tags

math

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Instructional Ideas

• Find the actual roots based upon the discriminant

Classroom Considerations

• The class should know the quadratic formula
• Individuals should be comfortable evaluating rational expressions
• Teachers need to register for a free CK-12 account

Pros

• Contains hints for the problems
• Allows the scholars to view the correct answer if the incorrect one is selected

Cons

• None

Common Core

HSF-IF.C.7.a HSF-IF.C.8.a MP6