Algebra 2 Per 1,2, & 3 Assignments

• Anything Quadratic ch. 3 and 4
• logs and exponential ch. 6
• Rational Expressions and rational equations ch. 7
• Sequences and Series ch 8
• Imaginary numbers: add, subtract, multiply, divide (Ch 3)
• Transformations

• systems
• factoring
• absolute value equations and inequalities
• long division, synthetic division, synthetic substitution
• inverses
• radical expressions and radical equations
• Composite functions  for example f(g(x))
• Rules of exponents

• 7.4 adding and subtracting fractions and complex fractions. Hw 47 and 48
• 7.5 Solving rational equations HW 49 
• 7.2 Graphing Simple Hyperbolas. HW 50

1. Reducing Rational expressions
2. Multiplying and dividing Rational expressions
3. Answers must have domain restrictions too!

• Solving exponential equations using logs see HW 38 that need calculators
• Solving log equation that may need a calculator
• Modeling problems- Exponential growth, decay and compound interest- see HW 35 and Hw ?
• Rewrite a log to exponential and Rewrite from exponential to log- see Hw 34
• Transformations on exponentials and logs- see HW 37
• Finding the inverse of exponential and the inverse of a log function- see HW 34

• Evaluating log expressions- see HW 34  See quizlet flashcards
• Solving exponential equations using 1 to 1 property- see Hw 25- HW 27
• Solving log equations and inequalities- See HW 36
• Solving log equations using expand and condense
• Evaluate a log given .....using expand and condense rules- See Hw 39
• Expand and Condense expressions- See HW 39
• Graphing an exponential, domain/range, growth or decay, equation of asymptote, rate of increase or decrease
• Graphing logs, domain/range, equation of asymptote

• Solving all types oflog and exponential equations
• Solving a word problem
• Expand and condense
• Problems like HW 38 pg. 331 1-7  or like HW 39 problem 2 no calculators

• applications- See HW 35 and HW 31
• rewrite as a log- see HW 34 and Hw 32
• rewrite in exponential notation- see HW 34 and HW 32
• evaluate expressions-see HW 34
• find the inverse-see HW 33 and Hw 34
• Graph a log and state domain and range
• Graph an exponential growth or decay
• Identify a function as either exponential growth, decay, or neither- See Hw 34

• exponential growth models
• exponential decay models
• compound interest
• graphing exponentials

• initial amount
• growth factor
• Rate of growth (or growth rate)
• Exponential growth model

• 5.2 simplifying radicals and knowing when to use absolute value signs. See 5.2 in textbook for lots of different types of expressions.....to review and other homeworks.
• 5.4 solving radical equations and inequalities see HW 19 and 20
• 5.5 function notation and composites see HW 18
• 5.6 inverses

• Rules of exponents like HW 8
• writing form radical to exponential without simplifying  like HW 9 and 10
• Writing from exponential to radical without simplifying   like HW 9 and 10
• Simplifying/evaluating expressions: Like warm-up today and like HW 9 and 10
• Graphing square root functions like HW 11
  • Be able to state the domain/range and vertex. Be able to use t-table and show work. Do you know how to find the domain BEFORE you graph it!!!
• Graphing by using parent graph of square root graphs and transformation knowledge. Like HW 12
• Transformation questions like HW 12

• Solve polynomials of degree 2 or higher/find the zeros (using traditional methods of factoring or using p/q list of rational zeros)
  • Find All zeros
  • Find rational zeros
  • Find real zeros
  • Solve the polynomial
• How many zeros/roots will there be
• Rational root theorem: List possible rational zeros/roots

• Write a polynomial of least degree given zeros
• Estimate zeros of a polynomial graph
• Sketch a polynomial function
• Estimate local maximum and local minimums

• See pdf file for practice of factoring skills if needed. Answers are attached to file.
• Another great review is the Ch 3 Review for test part1 that we gave. Solutions provided too.
• HW 61 from last week is a great review too!

• Add, sub, multiply polynomials (4.2) Hw 53
• Pascal's triangle to expand binomials. See 4.2 HW 54
• Long division see 4.3 HW 54 and HW 55
• Synthetic division see 4.3 HW 55
• Factoring skills 4.4  HW 56
• Determining a binomial is a factor  4.4
• Given a factor find the remaining factors  4.4
• Solve a polynomial by factoring
• Sketching the solutions to a polynomial

• Solving non-linear systems 3.5 See HW 49 and HW 50
• Solving quadratic inequalities 3.6 See HW 51 and 52
• Graphing complex numbers See HW 53
• Dividing with imaginary numbers 3.2 enrichment handout. See HW 50 handout.

• Add/sub/mult imaginary numbers see last quiz and HW 42, HW 45,48
• finding x and y given equivalent complex numbers a + bi. See Hw 42,45,48and last quiz
• Simplifying radicals with neg radicands see HW 42,45,48 and last quiz
• Discriminant-# of real zeros/roots/solutions a function has see HW 47,48
• Solving by graphing See 2nd to last quiz
• Application problems.  See 2nd to last quiz, HW 48, and older HW, quizzes and Ch 3 of textbook. 

• Using square root property
• Factoring/zero property
• Completing the square
• Quadratic formula
• Finding the zeros
• Approx zeros given a graph

• Operations on imaginary numbers (add, sub, mult) HW 42
• Completing the square HW 43
• Solving by factoring

• Solving a quadratic by graphing 3.1
• Solving a quadratic by factoring and zero prop 3.1
• Solving a quadratic by algebra and square root prop 3.1
• Finding the zeros of a function 3.1 and 3.2
• Solving applications problems 3.1
• Solving using algebra and square root with complex solutions (ie, imaginary solutions) 3.2
• Solving a quadratic by completing the square 3.3

• Graphing method
• Factoring and zero prop method
• Algebra and Square rt prop

• Factoring method
• By square root problem.

• 2.1  Hw 29 and HW 30 Transformations and writing a new function g given a transformation.
• 2.2 Graphing in Vertex form, standard form, intercept form. See HW 26-28,Hw 31, HW 32
  • Vocabualary
    • AOS equation, domain/range, max/min, when increasing/decreasing
• 2.2 Applications see HW 31-34
  • Grasshopper problem
  • Store problem with customers
  • Basketball problem...
  • textbook problems
• 2.4 Modeling with quadratics: Writing equations of a parabola/quadratic given .....

• 2.2 graphing a quadratic in 1) Standard form 2) Vertex form 3) Intercept form
• 2.2 Stating domain/range, Eq for axis of symmetry, vertex, min or max, when the x values increase or decrease.  See 2.2 for examples.
• 2.1 Writing a new eq g(x) given a transformation (this is a weak area from past quiz/test)
• 2.1 describe  transformations using correct order and academic language
  • Rt/left first
  • shrinks/stretches
  • reflections
  • up/down
• applications

• Solve a system of linear and non-linear by graphing See HW 20
• Solve a system of inequalities by graphing.  See HW 21
• Solve a system of two equations by substitution and elimination method.  See HW 19 and 22
• Note: Systems of THREE equations will NOT be on the quiz :)

Flipped classroom:   Your homework tonight is to watch the following video and take notes.  You must turn in your notes tomorrow.

• Substitution method
• Elimination/addition method

Quiz 

• Operations on functions see HW 9
• Writing equations of a transformed function see HW 15, HW 17 last set of problems
• HW 18 has a good overall review for the quiz 

• Identify Domain/Range and if a graph is a function HW 8
• Perform operations on functions. Understanding function notation HW 9
• Evaluate given a piecewise already graphed.  See back of HW 9
• Evaluate a piecewise function given in Function notation (not already graphed)  HW 10 and HW 11
• Graph a piecewise function. HW 10 and HW 11
• Describe the translation or reflection from the parent graph HW 12
• Graph an absolute value function and identify the vertex HW 13
•  Draw the indicated transformation....HW 14 and HW 16
• Write a new function g whose graph represents an indicated  transformation HW 15

• 3 problems on graphing Pieceswise.  No partial credit.
• Graphing absolute value functions
• Describing transformations from a parent graph using non-academic language will be allowed. like right 3 then up 2.  A reflection in the y-axis.....

• Translations
• Reflections

• Domain/Range (HW 8)
• Is it a function? (HW 8)
• Operations on functions ( HW 9)
• Evaluating Piecewise  (Hw 9)
• Graphing Piecewise  (hw 10)

• Solving linear equations and Inequalitie (including solving equations using fraction busters)
• Solving equations with more than one variable
• Solving compound sentences and graphing solutions
• Solving absolute value equations
• Solving absolute value inequalities and graphing of solutions
• Number properties and naming sets.  Click HERE to practice flashcards on these topics.

1. HW 1 handout.  This is a review of rational operations, solving equations/inequalities, graphing and finding x and y- intercepts.  These are skills that you should already know how to do from Algebra 1.  
2. Click HERE to watch a video on how to solve the backside to HW 1.

•  Please sign-up for my remind by texting number 81010 then in the body of the message type "@whippalg2"
• Download to your cellphone the free Desmos graphing calculator
• Purchase a scientific calculator. Preferably a Texas Instrument, as soon as possible.
• Read the class syllabi found on this website.  You MAY print it out if you want a hard copy.
• Show your mom and dad my website.  

1. Click HERE and watch the video on the Number System then read the handout and try to answer the questions on the back.  Provide examples of the associative, commutative...found at the bottom of the page/backside.
2. Then use the link below and answer the category Numbers  A.1 Compare and Order Rational numbers and A.8 Clasisfy Numbers
    
   Click HERE to take you to the IXL.com website To practice....A.1 and A.8
3.  
    Do you want to EXCEL? Try these online flashcards.  Click HERE.

• Graph paper
• Scientific Calculator like a Texas Instrument
• Highlighters: two or three colors
• Correcting pen: like red or another color. Not black or Blue!
• Small stapler
• Dividers to be keep graded HW, Notes, test and quizzes separated.
• small or large ruler