You’ll also see the concepts I’m cutting and those I’m adding in order to align properly with the Common Core. With the addition of more constructivist opportunities for kids, some stuff doesn’t have time to get revisited if we’ve already covered it in Algebra 1 (goodbye linear unit?). If you've got some ideas, I'd love to hear them.

I plan to write up lessons for each of the starred sections and post them eventually both here and on michedmath.weebly.com

__Algebra 2 Course Outline__

(click "read more")

__1. Functions__

Definition of a function

Function notation

Telling whether a graph is a function

Recursive definitions of sequences

*Leaky Faucet

Ch1 none

__2. Variation and Graphs__

Direct Variation

Inverse Variation

Combined Variation

Graphs: names, asymptotes, symmetry, domain and range restrictions

*Modeling - This would be a good PrBL. How much weight a board can hold based on distance of supports vs Width vs Thickness. Use spaghetti noodles or straws and washers as weights.

*Mr. Potato Head Inverse Variation

*2-2 Activity 3 - Modeling the Law of the Lever

*2-7 Activity 4 - Fitting a Model to Data

Ch2 #1 Pizza Prices p128 (Pizza menus from around Cadillac)

#4 Variation and Light p129 (Need: flashlight, measuring tape, light meter)

#5 Law of the Lever p 129 (Need see-saw to check the law of the lever)

__3. Linear Functions__

Review of linear equations (CUT)

Slope-intercept form (CUT)

Piece-wise linear (NEED)

Standard Form (CUT)

Point-slope form (NEW)

Recursive formulas for Arithmetic Sequences (NEED)

Explicit formulas for Arithmetic Sequences (NEED)

Step-functions (NEED)

Ch3 #3 Fines for speeding pg 192

__4. Matrices__

Matrix addition and scalar multiplication

Matrix multiplication (NEED)

Transformations: size change, scale change, reflections, rotations. (CUT)

Perpendicular lines and bisectors. (CUT)

Ch4 #3 Overhead Projectors as Size Changers

__5. Systems__

Graphing (QUICK)

Substitution (QUICK)

Elimination (QUICK)

Solving systems through matrices:

Determinants of matrices

Inverses of matrices

Linear inequalities (QUICK)

Feasible regions

Linear Programming

*Gender Gap (Systems of Equations, data fitting, regression, rates, data analysis)

*5.2 Playing Catchup ACT3

*Toilet

* Lego furniture linear programming

http://mathcoachblog.wordpress.com/2013/04/29/linear-programming-with-friends/

Ch5 #1 Nutritious and Cheap? (Food Aid)

#5 Using Matrices to Code and Decode Messages

__6. Quadratic Functions__

Absolute-value functions

Translations of quadratics

Vertex Form

Standard Form

Completing the Square

Modeling based on differences

Quadratic Formula

Imaginary and Complex Numbers

Discriminant on Quadratic Formula

*6-3 Activity 11 Modeling a Quadratic with a flashlight

*6.6 Toothpicks

*6.6 Shooting hoops and fitting a curve to the data using Vernier Physics Apps

*Quadratic - Angry Birds

Ch6 #1 Projectile Motion,

#2 Sum and Products of Roots,

#4 Quadratic Models pg 408

__7. Powers__

Power Function

Properties of Powers

Negative Exponents

Compound interest

Geometric Sequences

Solving power functions and Equations with Rational Exponents

*7.5 Shrinking Dollar Geometric Sequences Ch7 #3 Financing Post-High School Education #5 Local Interest Rates pg 469

__8. Inverses and Radicals Composition of Functions__

Inverses of Functions (Equations, Domain, Range)

Simplifying expressions with rational exponents.

Geometric Mean

Rationalizing the denominator

Solving equations with rational exponents.

*?

Ch8 #$ Radicals and Heights pg 522

9. Exponential and Logarithmic Functions

9. Exponential and Logarithmic Functions

Exponential Growth and Decay (QUICK)

Natural number e and y = Pe^(kt)

Logarithms: converting to exponential form, base 10, non-base 10, properties of, solving equations, base e,

Solving Exponential functions using logarithms

*9.1 Exponential Growth - Domino Skyscraper

*9.? National Debt in relation to War

*9.? Moore’s Law

*9.? Motel 6 - Compound interest

*9.? One Million Dollars - Dr. Evil. Compound interest problem

*9-4 NCTM Too Hot To Handle <http://illuminations.nctm.org/LessonDetail.aspx?id=L852> along with Activity 17 Fitting Exponential Models to Data

*NCTM - Modeling Orbital Debris

<http://illuminations.nctm.org/LessonDetail.aspx?id=L376>

Ch9 #1 CarLoans

#2 Modeling Growth of HIV

#3 Predicting Cooling Times pg 593

__10. Trigonometry Sine, Cosine, Tangent and their inverses__

Angles of elevation and descent

Trigonometric properties

Exact Values of Trig functions

Unit Circle

Law of Cosines

Law of Sines

Graphs (basic) of Sine, Cosine and Tangent (NEED)

Radians (NEED)

*10-8 Activity 20 Graphs of Trigonometric Functions (Ferris Wheel)

*10.8 Tsunami of 2006 (with modifications)

Ch10 #1 Triangulation and Surveying (research into how)

#5 Sunrise and Sunset times (have students research information on their own).

__11. Polynomials Classification base on Degree and Number of terms__

Multiplying and Adding Polynomials

*Polynomial Puzzler (http://illuminations.nctm.org/LessonDetail.aspx?id=L798)

Factoring

Zeros in relation to factored form

Rational Zero Theorem (CUT)

Fundamental Theorem of Algebra

Modeling Polynomial Functions

*ADD RATIONAL FUNCTIONS*

*Light It Up NCTM Project (Rational Functions) This Will work for Intro of topic and project)

*Speed Dating (http://function-of-time.blogspot.com/2009/10/speed-dating.html)

*Resistors Project (Could be done with Physics)

*11.1 Paper or Plastic (with modifications)

*11-10 Activity 21 Modeling Data With Polynomials (Need pennies and dominoes)

Ch11 none

12. Quadratic Relations - (CUT)

12. Quadratic Relations - (CUT)

Focus and Directrix of a Parabola (CUT)

Equations of Circles (CUT)

Ellipse and Foci (CUT)

Hyperbola and Foci (CUT)

Ch12 #2 Whispering Galleries #4 Reflection Properties of the Conics

#5 Orbits of the Planets pg 800

13. Series and Combinations - Currently don’t get to more than Sigma notation for series

13. Series and Combinations - Currently don’t get to more than Sigma notation for series

Arithmetic Series (NEED)

Geometric Series (NEED)

Sigma notation for Series (NEED)

Permutations

Median, Mean, Mode

Standard Deviation (NEED)

Combinations

Pascal’s Triangle (NEED)

Binomial Expansion (NEED)

Series notation to explicit formulas

Sets and subsets

Independent and Mutually-exclusive events (NEED)

Trial and Experiment (NEED)

Probability (NEED)

Normal Distribution (NEED)

*13.3 Penny Pyramid - ACT 3

*13-5 Activity 26 Random Walks

*13-8 Activity 27 Probabilities and Combinations

Ch13 #5 the Kock Curve (snowflake) pg 876