# Alg2 = Algebra II

This is a required course, designed for students who are planning to attend college or pursue a technical post-secondary career.

The course emphasizes facility with symbolic expressions and forms, alongside graphical and tabular representations. It moves beyond the linear and quadratic forms learned in Algebra 1, to several other families of functions that extend those fundamental concepts. It also builds upon concepts of scaling and transformation from Geometry. Students will study polynomial, rational, exponential, logarithmic, trigonometric, and discrete families; and will build functions by combination and composition, investigating both their abstract properties and the use of functions as tools for modeling real-world situations. The course concludes with several topics from probability and statistics, with an emphasis on conditional probability and random processes.

Students taking this course are required to have a graphing calculator; and must also have access to a computer outside school, either at home or the library.

 Click here (or to the left on the chalkboard icon) to navigate to the LHS Google Classroom for Algebra 2. This website and our Google Classroom are the primary spots for LHS Alg2 online interaction.

The last day to retest or submit Q1 make-up work is one week before the end of the quarter: Thursday, October 12.

## Activities, exercises & other assignments

The following assignments should be turned in during class on each indicated day:

 Day Topic Work # 8/21 Welcome to Alg2 & Orientation: What is Algebra? The Year Ahead! get textbook & initial paperwork make folder-tag 1 8/22 Three Representations of a Function no work due 2 8/23 Domain & Range of a Function Digital Passport Assignment p59: 2-14 even 3 8/24 Continuous Functions p59: 16-46 even 4 8/25 Algebra 2 Pre-Assessment complete marbleslides, if you wish 5 8/28 Intro to Absolute Value Functions Special Problem 0 - POW #0 6 8/29 AV Fns = Piecewise Linear Fns catch up, as needed 7 8/30 Translating f (x) = |x| p88: 6, 8, 16-28 even 8 8/31 Problem Review & Practice Translating Absolute Value Fns 9 9/1 Other Parent Functions Parent Function Scavenger Hunt 10 Labor Day (long weekend) ¯\_(ツ)_/¯ 9/5 Review & Prepare for Test 1 POW #1 11 9/6 First Unit Test prepare for first test (and turn in all homework) 12 9/7 Revisit Parent Functions {no assignment} 13 9/8 Simple Function Operations + - x revise/improve your fn notes 14 9/11 Compostion of Functions (f◦g)(x) simple function operations HW 15 9/12 More Function Composition f(g(x)) composition of functions HW 16 9/13 Q&A Applications & More Practice p394+ do #35-40, 43, 44 17 9/14 Solving Basic Absolute Value Eqns simple absolute value HW 18 9/15 Solving Tricker Absolute Value Eqns look over test; compare to online solutions; consider re-take, perhaps 19 9/18 Undoing a Function: Inverse Basics trickier absolute value HW 20 9/19 Graphing the Inverse of a Function intro reversing functions HW 21 9/20 Topics, Q&A for Second Test begin inverse functions problems 22 9/21 Review for Second Test finish inverse functions problems 23 9/22 Second Unit Test prepare for second test 24 9/25 Terms of a Quadratic Function {no assignment} 25 9/26 Forms of Quadratic Functions {no assignment} 26 9/27 Parabolas & Quadratic Equations intro to quadratic functions queries 27 9/28 Recalling Axis of Symmetry/Vertex begin quadratic regression problems 28 9/29 Using the Quadratic Formula finish quadratic regression problems 29 10/2 Finding Quadratic Roots quadratic formula problems 30 10/3 Finding ALL Key Quadratic Values (start problems for 10/4) 31 10/4 Roots, Vertex, y-intercept... roots+ from std. form problems 32 10/5 Second Unit ReTest prepare for ReTest (solns) 33 10/6 Factoring Quadratics 101 roots+ from vertex form problems 34 10/9 Factoring Quadratics (Advanced) first quadratic factoring problems 35 10/10 Organizing Quadratics: Review/Prep adv quadratic factoring problems 36 10/11 Additional Quadratic Review {3rd} 37 10/12 First Quadratics Unit Test prepare for first quadratics test 38 NEOEA Day (long weekend) ¯\_(ツ)_/¯ 10/16 Quadratic Applications 101 39 10/17 Desmos: Will It Hit the Hoop complete Desmos Activity, perhaps 40 10/18 Desmos: Match My Parabola complete Desmos Activity, perhaps 41 10/19 Angry Birds Teamwork, or First Quadratics Re-Test work with teammate on Angry Birds 42 10/20 Complete Missing Work     {end Q1} work with teammate on Angry Birds 43 10/23 More Angry Birds Teamwork work with teammate on Angry Birds 44 10/24 Applications of Quadratic Equations {no assignment} 45 10/25 Strategies for Solving Quad Eqns First QuadApp Problem Set 46 10/26 Quadratic Applications Review Second QuadApp Problem Set 47 10/27 Quadratics Applications Test prepare notes & prepare for test 48 10/30 Imaginary & Complex Numbers {no assignment} 49 10/31 Manipulating Complex Numbers p274: 2-10 even, 11-18 all 50 11/1 Equations with Complex Solutions p274: 29-40 all 51 11/2 Complex Roots of Quadratic Eqns p274: 41-46, 50-52 all; and: $$x^2+10x+29=0$$ 52 11/3 Using the Discriminant for Solutions catch up on homework! 53 11/6 Complex Numbers Quiz Preparation p289: 31-39 all, 57-72 all, 51 & 52 54 11/7 Election Day (no school) ~ 11/8 Complex Numbers Quiz prepare for quiz 55 11/9 Intro to Polynomial Functions {no assignment} 56 11/10 Polynomial Roots & Standard Form p303: 1-12 all also 17 & 24 57 11/13 More Zeros, and Multiple Zeros p311: 1-12 even + catch-up 58 11/14 Intro to Polynomial Long Division p311: 16-32 even 59 11/15 More Polynomial Long Division p318: 2-12 even 60 11/16 Synthetic Division p318: 2-12 even any remainder ;-) 61 11/17 The Remainder Theorem p318: 14-24 even; check 16, 20, 24 62 11/20 Review and Prepare for Quiz p318: 26-33, all check evens 63 11/21 First Polynomial Quiz prepare notes for quiz (1 page max) 64 ∞ ∞

Late work will be penalized up to 5% for each scheduled day that it is overdue. The formula used is:

$adjusted\;score = {0.95^{days\;late}} \times original\;score$

Extra-credit opportunities may be announced in class from time-to-time. In many cases you will also find these posted here, or noted in the slides from that day's class. Look at each one and consider whether you want to give it a try.

Make-up work for a day’s absence is due the day following your return to class. If you complete it and turn it in on the first day you return to class, you will receive a 5% scoring bonus. Like other work, it will be penalized up to 5% for each scheduled day that it is overdue thereafter, using the formula above.