Curriculum

Unit Outlines Standards

Mathematics 2 Version: CPS 08-09

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Unit Name: 01 Quadratics and Complex Numbers

Essential Question

What are my roots?

Enduring Understanding

€    The graph of any quadratic function is a vertical and/or horizontal shift of a vertical stretch or shrink of the basic quadratic function f(x)=x2.
€    The vertex of a quadratic function provides the maximum or minimum output value of the function and the input at which it occurs.
€    Every quadratic equation can be solved using the Quadratic Formula.
€    The discriminant of a quadratic equation determines whether the equation has two real roots, one real root, or two complex conjugate roots.
€    The complex numbers are an extension of the real number system and have many useful applications.

Topic 1

Solutions to Quadratics
€ Solving by factoring
€ Solving by taking square roots
€ Horizontal shifts

Topic 1 Standards and Elements


MM2A3
MM2A3.b.
MM2A3.c.
MM2A4
MM2A4.a.
MM2A4.b.

Topic 2

Graphical Representations
€ Standard and vertex form
€ Axis of symmetry
€ Solving quadratic inequalities

Topic 2 Standards and Elements


MM2A3
MM2A3.a.
MM2A3.b.
MM2A3.c.
MM2A4
MM2A4.a.
MM2A4.d.

Topic 3

Complex Solutions
€ Quadratic formula
€ Complex solutions
€ Imaginary and complex numbers

Topic 3 Standards and Elements


MM2A3
MM2A3.a.
MM2A3.b.
MM2A3.c.
MM2A4
MM2A4.a.
MM2A4.b.
MM2A4.c.
MM2N1
MM2N1.a.
MM2N1.b.
MM2N1.c.
MM2N1.d.

Topic 4

Connections
€ Arithmetic Series

Topic 4 Standards and Elements


MM2A3
MM2A3.d.
MM2A3.e.

Unit Vocabulary

    Word Wall
  • quadratic function
  • standard form
  • vertex form
  • quadratic formula
  • discriminant
  • root

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