Week
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Lesson Focus
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Weekly Objectives
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TN Standards
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Assessments
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1
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Intro to Quadratic Functions
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- Identify Quadratic Functions and determine characteristics of quadratic functions
- Essential vocabulary (axis of symmetry, completing the square, discriminant, maximum, minimum, parabola, quadratic equation, quadratic formula, solutions, transformation, vertex, zeros
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A1.F.IF.C.6
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2
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Solving quadratics by graphing
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- Identify parent functions as f(x)=x2
- Identify the transformations of a quadratic function when compared to the parent function
- Identify key features of a quadratic functions by hand and using technology
- Graphing f(x)=ax2 when a>0
- Graphing f(x)=ax2 when a<0
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A1.F.IF.C.6
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- Calculator Usage Practice Assessment
- All about Quadratics Quiz #1
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3
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Solving Quadratics by Factoring
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- Identify standard form ax2 + bx + c
- Determine quadratic roots/zeros
- Use the zeros to sketch a quadratic function
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A1.A.APR.B.2
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4
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Solving Quadratics by Completing the Square
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- Transform a quadratic equation written in standard form to an equation in vertex form by completing the square
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A1.A.REI.B.3
A1.A.SSE.B.3
A1.F.IF.C.7
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5
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Solve quadratic equations by using the quadratic formula
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- Derive the quadratic formula by completing the square on the standard form of a quadratic equation
- Recognize that a quadratic will have non-real solutions when there is a negative under the radical
- Recognize the quadratic formula produces all complex solutions
- Compute the discriminants and interpret the results as having no real solutions, 1 real solution, or 2 real solutions
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A1.A.REI.B.3
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6
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Create functions from Real-World Problems
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- Calculate features of quadratic functions using projectile motion problems
- Determine if a function is linear or quadratic from real world problems
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A1.A.REI.B.3
A1.A.SSE.B.3
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7
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Function Notation
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- Write an expression in function notation
- Identify domain and range
- Describe a situation that matches a graph based on its shape
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A1.F.LE.A.2
A1.F.IF.B.4
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8
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Exponential Functions
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- Define an exponential function as f(x)=abx
- Graph exponential functions
- Calculate Exponential Growth and Exponential Decay
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A1.F.LE.A.1
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9
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Graphing functions with technology
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- Transform a variety of functions including linear, quadratic, and absolute value
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A1.F.BF.B.2
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