# 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.