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Summer Packet Remediation
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Unit 1
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 * Converting a Recursive Sequence into an Explicit Formula
 * Finding the nth Element of a Recursive Sequence - 3 Methods
 * Using Slope to Talk About Linear Data Sets
 * Doing a Linear Regression on Your Calculator.
 * (Finding the) Equation of a Line in Slope-Intercept Form:
 * when given a point on the line and the slope (y=mx+b) (y=a+bx)
 * when given two points on the line (y=mx+b) (y=a+bx)
 * when given a point on the line and a parallel line (y=mx+b) (y=a+bx)
 * when given a point on the line and a perpendicular line (y=mx+b) (y=a+bx)
 * Solving Linear Systems using the Graphical Method (TI-83/4)
 * Solving Linear Systems using the Substitution Method
 * Solving Linear Systems using the Addition Method (AKA the Elimination Method)
 * Linear System Word Problems
 * Solving Systems of Inequalities

Unit 2

 * Squaring Binomials
 * Expanding Binomials and Monomials
 * Function Evaluation
 * Performing Function Composition when Given Two Functions
 * Reading Function Values when Given a Graph
 * Graphing a Function Using a Transformation
 * Writing an Equation of a Graph Using Transformations
 * Writing Equations of Circles in Standard Form - Completing the Square
 * Writing Equations of Ellipses in Standard Form

Unit 3

 * Multipliers - What They Are and How to Determine Them
 * Writing and Using Exponential Functions - Basic writing of an equation when given the initial value and info about the multiplier. Also shows estimating the doubling time on the calculator
 * Writing and Using Exponential Functions - Writing of an equation when given the initial value and info about the multiplier. This problem has an adjusted period
 * Writing and Using and Exponential Function - Finding Doubling Time Using Log
 * Writing Exponential Functions - Using Point Ratio Form - Given two points - work backwards to find the function
 * Writing Exponential Functions - Given two points - work backwards to find the function
 * Solving Equations with Rational Exponents
 * Solving Equations with Variables in the Exponent - Feel Method
 * Solving Equations with Variables in the Exponent - Common Base and 1:1 Princi ple
 * Solving Equations with Variables in the Exponent - Logs

Unit 4
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 * Overview of Factoring
 * Factoring -Greatest Common Factor (GCF or Undistribution)
 * Factoring - Difference of Two Squares
 * Factoring - Perfect Square Trinomials
 * Factoring - Quadratic Trinomials of the form x^2+bx+c. (Factors of c that add up to b)
 * Factoring - Quadratic Trinomials of the form ax^2+bx+c where a is not 1.
 * Tic-Tac-Toe Method
 * Box Method (This is the one that I do in class the others are alternative methods)
 * Box Method with Program
 * Fractions Method
 * Grouping Method
 * Factoring - Sum and Differences of Cubes
 * Determining the Degree and Equation of the Polynomial that Models a Data Set
 * Solving Quadratic Equations
 * When Asked to Use the Zero Product Property
 * When Asked to Use the Quadratic Formula
 * When Asked to Extract the Root
 * When No Particular Method is Indicated
 * Determining the 5 Point Graph of a Quadratic when Given:
 * Given Factored Form
 * Given General/Standard Form
 * Given Vertex Form
 * Converting from General Form to Vertex Form - Completing the Square
 * Simplifying Radicals with Negative Radicands - Imaginary Numbers
 * Distribute and FOIL with Imaginary Numbers
 * Using and Understanding the Discriminant
 * Quadratic Word Problems
 * Basic Area Problem
 * Changing Area Problem - Extending the Length and Width of a Rectangle Equally
 * Area of a Bordered Rectangle - Lace on a Table Cloth

Flipped Classroom Materials

 * Module 1 - Radicals
 * Module 2 - Factoring

Remediation

 * Exponent Rules for Multiplying
 * Distribute, FOIL and Multiplying Quantities
 * Simplifying Through Distribution or FOIL and Collecting Like Terms

Emergency Lesson Videos

 * Expanding Binomials and Monomials
 * Determining the GCF and LCM of a set of Numbers
 * Simplifying Square Roots to Exact Answers

Out of Date Material

 * Multiplying a 2x2 Matrix by a 2x2 Matrix
 * Solving a Linear System with Matrix Inverses on Your Calculator
 * Solving Absolute Value Equations
 * Solving Absolute Value Inequalities
 * Solving Value Equations/Inequalities - Special Examples - Null Set and All Real Numbers

Unit 2
Solving Equations
 * Solving Equations Using the DUR Method
 * Solving Two Step Equations
 * Solving Equations with Variables on Both Sides
 * Solving Equations Using the Five Step Method - DCG01
 * Solving Equations Using the Five Step Method - DCG01 - Tricky Distribution Example
 * Solving Equations Using the Five Step Method - DCG01 - with Fractions
 * Solving Equations Using the Ti-83-Ti84 (Graphical Method)
 * Solving Literal Equations (Basic)
 * Solving Literal Equations (Collecting Like Terms Required)
 * Solving Proportions (Cross Multiplication)
 * Solving Proportions (Cross Multiplication) ...problems involving Distribution

Unit 3
Solving Linear Inequalities
 * Graphing Inequalities in One Variable
 * Solving Inequalities in One Variable - DCG01*
 * Solving Inequalities in One Variable - Flipping the Symbol
 * Graphing Compound Inequalities

Unit 4
Data
 * Computing a 5 Point Data Summary on the Calculator

Unit 5a

 * Determining if a Data Set is Linear or Not Using the Idea of Rate of Change
 * Determining if the Rate of Change of a Graph is Constant or Variable

Unit5b
Slope and Lines

Unit 6
Solving Linear Systems
 * Solving Linear Systems Using the Graphical Method -Given y=mx+b form
 * Solving Linear Systems Using the Graphical Method - NOT Given y=mx+b form
 * Solving Linear Systems Using the Addition Method - Given Opposite Coefficients
 * Solving Linear Systems Using the Addition Method - NOT Given Opposite Coefficients
 * Solving Linear Systems Using the Substitution Method - Given One Variable Isolated
 * Solving Linear Systems Using the Substitution Method - NOT Given One Variable Isolated
 * Checking Solutions to Linear Systems on Your Calculator
 * Graphing Linear Inequalities in One or Two Variables in the XY Plane (Test Point Required)
 * Graphing Systems of Inequalities (No Test Point Required)

Unit 8

 * Overview of Factoring
 * Greatest Common Factor (GCF or Undistribution)
 * Difference of Two Squares
 * Perfect Square Trinomials
 * Quadratic Trinomials of the form x^2+bx+c. (Factors of c that add up to b)
 * Quadratic Trinomials of the form ax^2+bx+c
 * Tic-Tac-Toe Method
 * Box Method (This is the one that I do in class the others are alternative methods)
 * Box Method with Program
 * Fractions Method
 * Grouping Method

Unit 9

 * Determining if a Relation, Mapping or Graph is Function
 * Determining the Domain and Range of a Relation/Function
 * Function Evaluation - Single Evaluation
 * Function Evaluation - Double Evaluation
 * Function Composition
 * Function Inverses - Determining the Inverse from a Relation or Graph
 * Function Inverses - Determining the Inverse from an Equation

Diagnostic Remediation
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Unit 1

 * Expanding Binomials and Monomials
 * Determining the Domain of a Function When Given a Graph
 * Determining the Excluded Values of a Function (Rational and Square Root Functions)
 * Reading Function Values when Given a Graph
 * Performing Function Composition when Given Two Functions.
 * Determining if Two Functions are Inverses of Each Other
 * Computing the Inverse Function of a Given Function
 * Computing the Distance Between Two Points with the Distance Formula
 * [|Computing the Midpoint Between Two Points with the Midpoint Formula](Start this video at 1:15 to get past the introduction.)
 * Overview of Equations of Lines
 * Finding the Equation of a Line in Slope-Intercept Form:
 * when a given a point on the line and the slope (y=mx+b)
 * when given two points on the line (y=mx+b)
 * when given a point on the line and a parallel line (y=mx+b)
 * when given a point on the line and a perpendicular line (y=mx+b)
 * when given a point on the line and a perpendicular line (y=mx+b)

Unit 2

 * Even and Odd Functions
 * Graphing Rational Functions
 * Determining the Intercepts of a Rational Function
 * Determining the Equation of a Vertical Asymptote in a Rational Function
 * Determining the Equation of a Horizontal Asymptote in a Rational Function
 * Determining the Location of a Hole in a Rational Function
 * Graphing a Rational Function (No Holes)
 * Graphing a Rational Function (with Holes)
 * Computing the Derivative Using the Power Rule
 * Computing the Slope at a Point
 * Finding the Equation of the Tangent Line to the Curve
 * Finding Max, Min and Points of Inflections with the Derivative
 * Finding Point(s) on a Curve with a Given Slope

Unit 3
Imaginary Numbers
 * Simplifying Radicals with Negative Radicands - Imaginary Numbers
 * Distribute and FOIL with Imaginary Numbers
 * Quadratic Formula with Imaginary Numbers


 * Solving Quadratics by Completing the Square (Easy and Hard Example)
 * Sketching Polynomials Using End Behavior and Intercepts
 * Writing Polynomial Equations From Their Graphs
 * Solving Radical Equations
 * Solving Rational Equations

Synthetic Division and Remainder Theorem
 * The Remainder Theorem (Finding Remainders of Polynomial Division and Determining if a Given Binomial is a Factor to a Given Polynomial)
 * Synthetic Division of Polynomials
 * Using Synthetic Division to Determine if a Linear Binomial is a Factor of Given Polynomial

Unit 4

 * [|What is a radian?] (E.R.)
 * [|What is Standard Position and a Coterminal Angle?]
 * Converting Degrees and Radians (E.R)
 * The Six Basic Trig Functions (E.R.)
 * Reference Angles
 * Knowing the Sign of a Trig Value Based on the Quadrants (ASTC - ALL STUDENTS TAKE CALCULUS)
 * Knowing the Sign of a Trig Value Based on the Quadrants - Examples
 * Finding the Value of the Other Five Trig Functions When Given One Value
 * Memorizing the Trig Functions of Special Angles
 * Determining the Exact Value of A Trig Function - Unit Circle
 * Determining the Exact Value of a Trig Function - Special Angle
 * Law of Sines - No Ambiguous Case
 * Law Of Cosines

Unit 5

 * Graphing the Parent Functions of Sin and Cos
 * Graphing the Parent Functions of Sin and Cos - shortened version
 * Graphing Transformations of Sin and Cos without a Change of Period - (on graph paper)
 * Graphing Sin and Cos Transformations that Have a Change of Period
 * @Solving Trig Equations with Exact Values without Factoring
 * Solving Trig Equations with Exact Values Using Factoring
 * Solving Trig Equations with your Calculator

Unit 6
Old Unit Two - Prior to Spring 2016
 * Solving Linear Systems using the Graphical Method (TI-83/4)
 * Solving Linear Systems using the Substitution Method
 * Solving Linear Systems using the Addition Method (AKA the Elimination Method
 * Multiplying a 2x2 Matrix by a 2x2 Matrix
 * Solving a Linear System with Matrix Inverses on Your Calculator