Algebra 2 section of MathBitsNotebook.com

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indicates compatibility to NY Next Generation Math Standards (NGMS)
+ NGMS topics suggested for Algebra 2 coherence to increase rigor, but not included in state assessments.
LESSONS:
* calculator link, G calculator lesson  
Dealing with Quadratic Equations:  
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 Information About Quadratic Equations: (root vs zero, Fun Thm Alg, Zero Product.)
•
 Quadratics and Identities (includes complex identities) +
Solving Quadratic Equations:  
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 Refresh+
* •
 Method: Taking Square Roots Refresh+
* •
 Method: Factoring - Trinomials (a = 1, factorable quadratics) Refresh+
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 Preview for "Factoring by Grouping" (a must read!!!)
* •
 Method: "Split the Middle" (or "ac Method" w/ Factor by Grouping)
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 "Factoring by Grouping" with a Grid Box (a ≠1, "ac" Method, visual set-up)
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 Method: "Slide and Divide" - Trinomials (a ≠1, :"slip and slide", method explained)  
G* •
 Graphing Calculator: Solve Quadratic Equations (using graphical features)
G* •
 Graphing Calculator: Solve Using Special Features (use built-in functions)
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 Method: Completing the Square (the process) Refresh+
•
 Completing the Square Examples
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 Method: Quadratic Formula Refresh+
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 Deriving the Quadratic Formula (uses completing the square)
* •
 Complex (Imaginary) Roots (graphing, complex conjugates, discriminant intro)
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 Using the Discriminant (how many and what type of roots)
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 Nature of Roots - Sum and Product of Roots  
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 Choosing a Method for Solving a Quadratic Equation Refresh
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 Creating Quadratic Equations Given the Solutions (working backward)
Graphing Quadratic Functions:  
* •
 Information About Quadratic Functions (shape, parts, axis of symmetry, FYI)
G* •
 Graphing Calculator: Working with Parabolas (basics: graph, vertex, sym, roots)
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 Graphing Quadratic Functions Using Tables Refresh
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 Graphing Quadratic Functions in Vertex Form ( y = a(x - h)2 + k ) Refresh
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 Graphing Quadratic Functions Using Rate of Change and Vertex Refresh
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 The Parabola as a Parent Functions (with transformations) Refresh
* •
 Creating Quadratic Equations Given the Graphs (working backward)
G* •
 Graphing Calculator: Write Quad. Equation Given the Graph (use regression)
Quadratic Inequalities:  
* •
G* •
G* •
 Graphing Calculator: Graphing Quadratic Inequalities
Applications Using Quadratics:  
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Projectile Motion (vertical motion)
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Linear Quadratic Systems:  
* •
 Quadratic Relations (parabols, circles)
* •
Solving Linear Quadratic Systems (parabols and circles)
G* •
G* •
Looking at Conic Sections:  
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Parabola as a Conic (derive equation)
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PRACTICE:
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 Quadratics and Identities Practice +
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Solve Quadratic Equations Practice (factoring, square rooting, grouping, at A2 Level)
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 Completing the Square Practice (at A2 level)
•
 Quadratic Formula Practice (quadratic formula, discriminants, at A2 level)
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 Graphing Quadratic Functions Practice (at A2 level)
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•
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 Applications and Modeling Practice
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Linear Quadratic Systems Practice (line-parabola - Refresher from Algebra 1)
  
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