Advanced+Algebra+Progression+2012

These are the lessons for the completion of Advanced Algebra via YourTeacher.com (unless otherwise noted). These lessons must be completed in this order in order to comply with the district testing schedule. The lessons linked below are via other sites such as Khan Academy and TeacherTube. The Discovering Advanced Algebra online textbook address is (TBA).

Mini-lessons

Unit of Study (completion date for semester-long study)
 * Semester 1 **

Go to Khan Academy, set up an account (sign up using your Gmail address), on your profile page choose COACHES, enter my Gmail address as your coach.

// 2 Describing Data (09/07/12) // Box and Whisker Plots (Khan Academy) Also work on the associated exercises. Read about Skew (DAA p.80) Standard Deviation and Interquartile Range (TeacherTube) Exercises: DAA p. 82 #8 & 9 Histograms(KA) Exercises: DAA pp. 98-99 Investigation, Choose one column from the table to create a box and whisker plot, a histogram, and find the IQR and standard deviation of the data set. Write a paragraph discussing how these fast-food items would affect a healthy diet. Percentile Ranks (DAA p. 97) Exercises: p. 101 #3, p. 103 #8 TEST

// 1 Patterns and Recursion (09/26/12) // TEST
 * Algebra 1 Chapter 12 ||
 * Unit 2: Patterns ||
 * A: Recognizing Patterns ||
 * B: Finding the nth Term in a Pattern ||
 * C: Finite Differences to Generalize a Rule ||

// 3 Linear Models and Systems (10/19/12) // // How are linear equations used in real life? // // How are linear equations used in business? // TEST
 * Algebra 2 Chapter 5 ||
 * Unit 1: Slope ||
 * A: Using the Graph of a Line to Find Slope ||
 * B: Using Slope to Graph a Line ||
 * C: Using Coordinates to Find Slope ||
 * D: Using Slope to Find Missing Coordinates ||
 * Unit 2: Slope-Intercept Form ||
 * A: Using Slope-Intercept Form to Graph a Line ||
 * B: Converting to Slope-Intercept Form and Graphing ||
 * Unit 3: Writing Equations of Lines ||
 * A: Standard Form ||
 * B: The Point-Slope Formula ||
 * C: Given Two Points ||
 * D: Parallel and Perpendicular ||
 * Fitting a line to data (Algebra Lab) Also work the Practice Problems ||
 * Residuals DAA Chapter 3.5 pp.142-146, Exercises: p. 146-147 #1, 2, 4, 9 ||
 * Algebra 2 Chapter 6 ||
 * Unit 1: Solving Systems ||
 * A: By Graphing ||
 * B: By Addition ||
 * C: By Substitution ||
 * D: Advanced Systems ||
 * Unit 2: Word Problems ||
 * A: Number and Value Problems ||
 * B: Wind and Current Problems ||

// 4 Functions, Relations, and Transformations (11/20/12) //
 * Algebra 1 Chapter 12 ||
 * Unit 3: Functions ||
 * A: Dependency and Correlational Relationships ||
 * B: Recognizing and Evaluating Functions ||
 * C: Functions in Problem Situations ||
 * D: Domain and Range ||
 * Unit 4: Graphs of Functions ||
 * A: Linear and Quadratic Relationships ||
 * B: Parent Graphs and Transformations ||
 * C: Slope and Intercept ||
 * D: Interpreting Graphs ||
 * Unit 5: Ratio and Proportion ||
 * A: Direct Variation ||
 * B: Indirect Variation ||
 * Algebra 2 Chapter 4 ||
 * Unit 2: Absolute Value ||
 * A: Absolute Value Equations ||
 * B: Absolute Value Inequalities ||
 * Unit 3: Functions ||
 * C: Definition of a Function ||
 * D: Function and Arrow Notation ||
 * Pre-Algebra Chapter 7 ||
 * Unit 6: Transformations ||
 * A: Transformations ||
 * B: Reflections ||
 * C:Translations ||
 * D: Rotations ||
 * E: Dilations ||
 * Transformations of Parabolas(AL); Exercises DAA p. 197- 98 #1-6 ||
 * Transformations of Absolute Value Functions(AL); Exercises DAA p. 214 #1a-i, 2, 3 ||
 * Algebra 2 Chapter 13 ||
 * Unit 1: Quadratic Equations ||
 * A: Understanding y - k = a(x - h)2 Form ||
 * B: Graphing Quadratic Equations in y - k = a(x - h)2 Form ||
 * C: Writing Quadratic Equations in y - k = a(x - h)2 Form ||
 * Unit 2: Quadratic Functions ||
 * A: Graphing Quadratic Functions ||
 * B: The Sum and Product of Roots Formula ||
 * C: Writing Quadratic Functions ||

TEST

// 12 Probability (12/17/12) // Introduction to Probability (AL) Including Examples Probability Addition Rule & Mutually Exclusive Events (AL) Including Examples Venn Diagrams in Math (TT) Exersises DAA pp. 684-685 #1-4, 8 Counting Outcomes and Tree Diagrams (DAA) pp.668-672, Exercises DAA pp. 673-675 #1-4, 11, 13

TEST

SEMESTER 1 FINAL

Unit of Study (completion date for year-long study) // 6 Matrices and Linear Systems (01/25/13) // TEST
 * Semester 2 **
 * Algebra 2 Chapter 4 ||
 * Unit 1: Inequalities ||
 * A: Solving and Graphing Inequalities ||
 * B: Combined Inequalities ||
 * C: Advanced Inequality Problems ||
 * Linear Programming (TT) Exercises: DAA p. 347 #1, 2, 3 ||

// 5 Exponential, Power, and Logarithmic Functions (02/15/13) // Rational Exponents 1 (KA) Rational Exponents 2(KA) Definition DAA p. 253; Exercises DAAp. 256 #1-3, 6 Inverse Functions(AL) Work all examples until correct. Exercises DAA p. 269 #1-4 Logarithms & Logarithmic Properties(AL) Work all examples until correct. Exercises DAA p. 276 #1-4 Properties of Logarithms & Exponents(Example p. 279, Table p. 282) (DAA) Exercises DAA p. 282-83 #1, 2, 5; p. 289-90 #1-4
 * Algebra 2 Chapter 7 ||
 * Unit 1: Exponent Rules ||
 * A: The Product Rule ||
 * B: The Power Rule ||
 * C: The Quotient Rule ||
 * Unit 2: Advanced Exponent Problems ||
 * A: Numerical Bases and Exponents of Zero ||
 * B: Combining Exponent Rules ||

TEST

// 7 Quadratic and Other Polynomial Functions (04/05/13) // Read DAA pp. 368-371 about the Three Forms of a Quadratic Function (General, Factored, & Vertex). Read DAA p. 405 about End Behaviors and Extreme Values.
 * Algebra 2 Chapter 8: Factoring ||
 * Unit 1: Greatest Common Factor ||
 * A: Rules for Finding the G.C.F. ||
 * B: Factoring Out the G.C.F. ||
 * Unit 2: Factoring Special Polynomials ||
 * A: Special Trinomials with Positive Constant ||
 * B: Special Trinomials with Negative Constant ||
 * C: Difference of Two Squares ||
 * Unit 3: Advanced Trinomial Factoring ||
 * A: Coefficient on x2 Term, Positive Constant ||
 * B: Coefficient on x2 Term, Negative Constant ||
 * Unit 4: Factoring by Grouping ||
 * A: Basic Technique ||
 * B: Advanced Strategies ||
 * Unit 5: Factoring Completely ||
 * A: Factoring Out G.C.F. as First Step ||
 * B:Factoring Difference of Two Squares as Last Step ||
 * Unit 6: Polynomial Equations ||
 * A: Beginning Equations ||
 * B: Intermediate Equations ||
 * C: Advanced Equations ||


 * Algebra 2 Chapter 11: Quadratics ||
 * Unit 1: Completing The Square ||
 * A: Square Rooting Both Sides ||
 * B: Beginning Completing The Square ||
 * C: Advanced Completing The Square ||
 * Unit 2: The Quadratic Formula ||
 * A: Beginning Quadratic Formula ||
 * B: Advanced Quadratic Formula ||
 * C: Using The Method of Your Choice ||
 * Algebra 2 Chapter 12: Imaginary & Complex Numbers ||
 * Unit 1: Imaginary Numbers ||
 * A: Beginning Imaginary Numbers ||
 * B: Advanced Imaginary Numbers ||
 * Unit 2: Complex Numbers ||
 * A: Beginning Complex Numbers ||
 * B: Advanced Complex Numbers ||

TEST

8 Parametric Equations and Trigonometry & 10 Trigonometric Functions (05/03/13) Radian Measure and Arc Length(AL) Work the Examples; Exercises DAA pp. 578-79 #1, 2, 4, 5 Sine, Cosine, and Tangent (AL) Work the Examples; Exercises DAA pp. 443 #1-4, 12 Graphing Trig Functions (AL) Work the Examples; Exercises DAA p. 589-90 #1-3 Reciprocal Trig Functions (AL) Work the Examples; Read DAA p. 597; Exercises DAA p. 598 1, 2, 5 Trig Identities Part 2 (KA) Exercises DAA p. 611 #1-3

TEST

// 9 Conic Sections and Rational Functions (05/28/13) // Distance Formula(AL) Work the Examples Read DAA pp. 489-491; Exercises DAA pp. 491-492 #1-6 Circles (AL) Work the Examples The Equation of a Circle (AL) Also work the Practice Problems Ellipses (AL) Parts I-IV; Also work the first set of Examples Parabolas Terminology (AL) Also work the Examples Parabolas Focus & Directrix (AL) Also work the Example Groups

TEST
 * Algebra 2 Chapter 9 ||
 * Unit 1: Beginning Rational Expressions ||
 * A: Simplifying Rational Expressions ||
 * B: Multiplying and Dividing Rational Expressions ||
 * Unit 2: Advanced Rational Expressions ||
 * A: Adding Rational Expressions ||
 * B: Subtracting Rational Expressions ||
 * C: Complex Fractions ||
 * Unit 3: Rational Equations ||
 * A: Beginning Rational Equations ||

SEMESTER 2 FINAL