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")
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
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)
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
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