Download Unit 3

Common Core Curriculum Map 2012-2013
Common Core Unit Name: Quadratics
Unit Number: 3
Enduring Understanding: Students will reason both abstractly and quantitatively in order to solve and graph equations that
have a degree of two as their largest exponent. Answers will be real and imaginary defined by the complex number system.
Quadratics are modeled in real-world scenarios such as construction, navigation, engineering, sports, manufacturing,
business, and physics. Students attend to precision when finding real and imaginary numbers. Students will look for and
express regularity in repeated reasoning when determining the simplified powers of i.
Standard
F.IF.4
A.CED.2
A.REI.4b
F.IF.8a
A.SSE.3b
A.REI.4a
N.CN.1
N.CN.2
N.CN.7
A.SSE.2
Essential Questions
A.SSE.2 Can I factor expressions that are quadratic in form?
F.IF.8a: Can I factor and complete the square in a quadratic function to show and interpret zeros,
extreme values, and symmetry in the graph?
A.REI.4a: Can I complete the square on a quadratic equation and transform it into the vertex form of
the parabola and derive the quadratic formula?
N.CN.1: Can I find a complex number in the form of a + bi? Can I find i^2, i^3, i^4, and i^99?
N.CN.2: Can I use properties and operations on complex numbers?
N.CN.7: Can I solve quadratic equations with real number coefficients that have complex solutions?
A.SSE.3b: Can I complete the square in a quadratic expression to reveal the maximum or minimum
value of the function it defines?
A.REI.4b: Can I solve quadratic equations by taking square roots, completing the square, quadratic
formula, and factoring while recognizing complex solutions?
A.CED.2: Can I create and graph equations in two or more variables?
F.IF. 4: Can I interpret and sketch key features (intercepts, increasing or decreasing intervals, relative
maximums or minimums, symmetries, end behavior, periodicity) of functions that model relationships
between two quantities?
Pacing
Guideline
11 Days
Key Academic
Vocabulary
Axis of Symmetry
Coefficient
Complete the Square
Complex Conjugates
Complex number
(imaginary and real)
Decreasing Interval
Discriminant
Double Root
End Behavior
Factoring
i, i^2, i^3, i^4
Imaginary number
Increasing Interval
Local Maximum
Local Minimum
Parabola
Perfect Square Trinomial
Principal Square Root
Product Property of
square Roots
Pythagorean Theorem
Quadratic equation
Quadratic expression
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Common Core Curriculum Map 2012-2013
Quadratic Formula
Quadratic Function
Quotient Property of
square Roots
Rationalizing the
Denominator
Standard Form of a
Quadratic Equation
Vertex
Vertex Form of a
Parabola
Zero Product Property
Zeros, X-Intercepts,
Solutions, Answers,
Roots
Suggested Resources by Unit
Location of these resources
Forming Quadratics
http://map.mathshell.org/materials/lessons.php?taskid=224&subpage=c
oncept
Holt Algebra II Textbook
Ch. 5.1,.5.2, 5.3, 5.4, 5.5, 5.6
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