# Algebra 2 / Trig

**Purpose: **To provide tutors with the ability to tutor students in Algebra 2. Tutors will be given content knowledge combined with methodology and resources to present material effectively. Common Core Initiatives will be coerced throughout the course to prepare for the transition by providing appropriate technology aids such as Prezi, Khan Academy, Ted.com, IMovie, videos uploaded to YouTube, podcasts and more.

**Session 1: Systems of Linear Equations/ Graphing**

- Graphing (page 21 Big Ideas Common Core)
- Putting into slope-intercept form
- Working on point slope form
- Writing equations with only two points given

- Solving systems of 3 variables (pg. 29 in Big Ideas Common Core)
- Solving system of linear equations with 3 variables and 3 equations (preference: only use elimination method)
- Show the Three Dimensional Graph in comparison to a linear graph
- Understand which systems would have no solutions, infinite solutions or one solution by looking at their graphs. Only for equations with two variables.

**Session 2: Graphing Transformation**

- Graphing Parent functions (page 4 Big Ideas Common Core)
- Constant , Linear, Absolute Value and Quadratic
- Identifying the function family based on the graph

- Understanding the difference between a transformation vs translation (page 5)
- Reflections
- Vertical Stretch vs vertical shrink

- Absolute Value Translations (page 11)
- Horizontal Translations
- Writing Functions with Translations
- Writing Functions with Reflections
- Writing Functions with Shrinks

**Session 3: Quadratic Equations**

- Graphing Quadratic Functions (page 57)
- Ax2+by+c – understanding all its parts such as axis of symmetry , y-intercept, vertex
- Minimum vs maximum (page 58)

- Transformations of Quadratic Functions (page 48)
- a(x-h)2 + k
- Horizontal vs Vertical Translations
- Reflections over both axis
- Horizontal/Vertical stretches and shrinks

**Session 4: Quadratic Equation**

- Solving Quadratics by Graphing (page 94)
- Solving By Using the Square Root Method
- Solving By Factoring
- Review factoring by X-Method
- Sum of Two Cubes (page 180)
- Difference of Two Cubes (page 180)
- Factoring by Grouping (page 181)

- Completing the Square (page 111)
- Using the Quadratic Formula (page 122)
- Great exercise Deriving the Quadratic Formula (page 121)

**Session 5: Complex Numbers**

- Imaginary Unit
*i*(page 104) - Square Root of a Negative number
- Sum and Differences of Complex Numbers

**Session 6: Polynomial Functions**

- Long Division (page 174)
- Synthetic Division (page 175)
- Finding the Zeros (page 198)

**Session 7: Rational Exponents and Radical Functions**

^{th}roots and Rational Exponents (starts on page 238)- Properties of Rational Exponents and Radicals (starts on page 244)
- Solving Radical Equations and Inequalities (starts on page 262)

**Session 8:**

- Exponential Growth and Decay (starts on page 296)
- Properties of Logarithms (starts on page 328)
- Solving Exponential and Logarithmic Equations (starts on page 334)

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Sources:

education.ky.gov/curriculum/lit/documents/algebra%202%20outline%2010ascps04.pdf

And California common core Mathematics revision framework 2013: cde.ca.gov/ci/ma/cf/documents/aug2013algebra2.pdf

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