Topic outline

  • General

    ADVANCED ALGEBRA II

    This block contains links that may be used throughout the year. You will find links to a similar book, lesson tutorials, free graphing calculator software, a link for a free PowerPoint Previewer, and links to video viewers such as WinFF for classroom tutorials that may be posted.

    The remaining blocks pertain to individual chapters or midterm/final review. Each chapter block will contain: the essential questions, a word wall, a homework list and other pertinent materials


    PLEASE OPEN ALL VIDEOS IN INTERNET EXPLORER--Firefox will not always allow you to open them

  • Topic 1

    Homework :
    expect to cover 1 section per night with the test immediately after the last assignment.

    Homework is listed in the block for the chapter--the current chapter is highlighted with a blue box

    • Algebra 1 review

      Chapter 0--Welcome Back--Intro to Advanced Algebra II

    • Chapter 5

      Chapter 5--Polynomials and Polynomial Equations

      Unit Question:
      What are the different ways to factor polynomials

      Lesson Essential Questions:

      (1) What is a polynomial?

      (2) How do you add and subtract polynomials?

      (3) How do you multiply two polynomials?

      (4) What is factoring?

      (5) How do you solve equations using factoring?

      (6) How do you translate word problems into equations that can be solved by factoring?

      WORD LIST:

      Polynomial, Function, Term, Equation, Factor, Grouping, Sum, Coefficient, Exponent, FOIL, Monomial, Binomial, Trinomial, Difference

      Hw 5-1 & 2: PAGE(S): 208-209 NUMBERS: 2 – 22 evens,  28, 32, 36 
                 and  PAGE(S): 212 - 213 NUMBERS: 2 – 20 evens, 24, 28, 34

      HW 5-3: PAGE(S): 217 – 218 NUMBERS: 4, 8, 12, 16, 20, 24, 28, 34, 44

      Hw 5-4 & 5 : PAGE(S): 222 -223 NUMBERS: 4, 8, 12, 16, 50, 54, 62
                and PAGE(S): 227 – 228 NUMBERS: 3 – 66 multiples of three, 72, 78

      Hw 5-6: PAGE(S): 231 NUMBERS: 2 – 38 even

      Hw 5-7: PAGE(S): 233 NUMBERS: 2 – 30 even, 36, 43

      Hw 5-8: PAGE(S): 235 – 236 NUMBERS: 2 – 16 even 

      review Worksheet 1

    • Chapter 4

      Chapter 4 Systems of Equations and Problem Solving

      Unit Question:
      How are systems of equations solved?

      Lesson Essential Questions:

      (1) How do you solve a system of equations in two variables graphically?

      (2) How do you solve a system of equations in two variables by substitution or linear combinations?

      (3) How do you translate real life problems into systems of equations?

      (4) How do you solve a system of equations in three variables?

      (5) How do you translate word problems into a system of three equations?

      (6) What makes a system dependent, independent, consistent, or inconsistent?

      (7) How do you solve a system of linear inequalities?

      (8) What is linear programming?

      WORD LIST:

      System Solution, Graphing, Substitution, Linear Combination, Variable, Consistent, Inconsistent, Dependent, Independent, Equations, Inequalities, Linear Programming

      Homework:
      4-1 PG: 161: 2 – 16 even
      4-2A PG: 166 -167: 1 – 8 all
      4-2B & 4-6 PG: 166 -167: 10 – 22 even
      4-3 PG: 171 -173: 4 – 24 by 4’s
      4-4 PG: 178 – 179: 4 – 24 by 4’s
      4-5 PG: 181 – 182: 4, 8, 12, 16
      4-7 PG: 192: 4 – 32 by 4’s
      Review worksheet
      4-8 Linear Programming project



    • Chapter 13

      Chapter 13 Matrices and Determinants

      Chapter 13
      Matrices

      How do you create and perform operations with matrices?

      13-1 How can matrices assist in organizing data?
      13-2 How do you add and subtract matrices
      13- 4  How do you multiply matrices?  How can the calculator assist with matrices?
      13-3  How can find the determinant of a matrix?
      13-5  How can find the multiplicative inverse of a matrix?
      13-6  How can you use matrices to solve a system of equations?

      WORD LIST:  Matrix, Order of a Matrix, Scalar,  Zero Matrix, Identity Matrix, Square Matrix, Determinate, Rows, Columns 

      Homework:
      13-1 & 2  Pg  575    2- 22 evens
      13-4  Pg 587  2- 20 even
      13-3 & 5 Find the determinant Pg 580 2, 4, 16, 18     Find the multiplicative inverse   Pg 592    6 to 16 even
      13- 6  Worksheet
      Review Worksheet

    • Chapter 6

      Chapter 6--Rational Expressions and Equations

      Unit Question:
      How are rational expressions simplified and rational equations solved?

      Lesson Essential Questions:

      (1) How do you multiply and simplify rational expressions?

      (3) How do you simplify complex rational expressions?

      (2) How do you add and subtract rational expressions?

      (4) How do you divide polynomials?

      (5) What is synthetic division?

      (6) How do you solve a rational equation?

      (7) How do you translate word problems into rational equations that can be solved?

      (8) How do you solve rational formulas for a specified variable?

      (9) What is direct and inverse variation?

      WORD LIST:
      Rational, Fraction, Numerator, Denominator, Complex Fraction, Polynomial, Synthetic Division, Expression, Equations, Formulas, Variation, Inversely Proportional, Directly Proportional, LCD, LCM

      Hw chapter 6
      6-1 pg 248 6 to 32 even

      6-3 pg 258 6 to 20 even
      6-2 pg 253 6 to 30 even

      6-4 pg 262  12 to 22 even
      6-5 pg 265 2 to 12 even

      6-6 pg 269 4, 8, 12, 14, 24, 26
      6-7 pg 273 2, 4,6, 14, 20

      6-8 pg 278 4,8, 12, 16
      6-9 pg 283 4 to 24 by 4’s

      Chapter review sheet

    • Chapter 7

      Chapter 7 Powers, Roots and Complex Numbers

      Unit Question:
      How are operations performed on radical expressions?
      Lesson Essential Questions:

      (1) What is the definition of a square root?
      (2)
      How do you multiply and simplify radical expressions?
      (3)
      How do you apply arithmetic operations to radical expressions?
      (4)
      How do you rationalize the denominator of a radical expression?
      (5)
      What is the relationship between radical expressions and rational exponents?
      (6)
      How do you solve equations with radical expressions?
      (7)
      How do you express the square root of a negative number?
      (8)
      How do you solve an equation with a complex number?
      (9)
      How do you find complex solutions of equations?

      WORD LIST:
      Radical, Power, Square Root, Radicand, Expression, Principal Operations, Simplify, Rationalize, Exponent, Imaginary, Complex, Conjugate

      HOMEWORK:
      1)
      PAGE(S): 295-296 NUMBERS: 4-36 by 4’s (not 28)
      .PAGE(S): 299 NUMBERS: 4 – 32 by 4’s

      2) PAGE(S): 303 NUMBERS: 4 – 48 by 4’s
      3)
      PAGE(S): 308 NUMBERS: 4-48 by 4’s & 56
      4)
      PAGE(S): 315 NUMBERS: 12 – 60 by 4’s
      5)
      PAGE(S): 319 – 320 NUMBERS: 4 – 36 by 4’s and 44
      6)
      PAGE(S): 323 NUMBERS: 4 – 40 by 4’s
      .PAGE(S): 329 NUMBERS: 19 – 22

      7)
      PAGE(S): 325 NUMBERS: 2 – 20 Even
      8)
      PAGE(S): 333 NUMBERS: 6 – 21 by 3’s

    • Chapter 8

      Chapter 8 Quadratic Functions

      Unit Question:
      What is a quadratic equation?

      Lesson Essential Questions:

      (1) How are quadratic equations solved by completing the square?
      (2) How are problems solved by translating into quadratic equations?
      (3) How are quadratic equations solved using the quadratic formula?
      (4) How are the nature of the solutions determined for a quadratic equation?
      (5) How is substitution used to reduce equations to quadratic form?
      (6) What are quadratic and joint variation?

      WORD LIST:
      Quadratic, Standard, Trinomial, Pythagorean Formula, Square, Discriminant, Reducible, Variation, Direct Variation, Inverse Variation

      Homework:
      PAGE(S): 345 – 346 NUMBERS: 3 to 42 by 3’s
      PAGE(S): 349 NUMBERS: 1, 4, 5, 6, 7, 8, 9
      PAGE(S): 352 NUMBERS: 3 – 30 by 3’s
      PAGE(S): 357 NUMBERS: 3 – 15 by 3's and 32, 35, 36
      PAGE(S): 361 NUMBERS: 3 – 24 by 3's
      PAGE(S): 364 NUMBERS: 3 – 21 by 3's


       

    • Chapter 9

      Chapter 9 Quadratic Functions and Transformations

      Unit Question:
      How can a quadratic function be transformed?

      Lesson Essential Questions:

      (1) What are the different types of symmetry?
      (2)How do you graph a function of the form f(x)=(x - h)2 + k?
      (3) How do you graph a function of the form f(x)= a(x - h)2?
      (4) How do you graph a function of the form f(x)=a(x - h)2 + k?
      (5) How do you use standard form of a quadratic equation to solve word problems involving minimum and maximum?
      (6) How are the x-intercepts of a quadratic function found?

      WORD LIST:Symmetry, Axis, Transformation, Translation, Horizontal, Odd, Function, Relation, Stretch, Parabola, Vertex, Minimum, Even, Maximum, Standard Form, Origin, Intercept, Shrink

      Homework:
      (1)Pg 389 3 – 39 by 3's
      (2)Pg 393 3 – 21 by 3's
      (3)Pg 398-399 3- 12 by 3's
      (4)Pg 399 38, Pg 402 3-15 by 3's, Pg 406 3-21 by 3’s
      (5)Pg 410-411 4, 7, 10, 12, 16, 29
      (6)Pg 413 3- 12 by 3's
      (7)Pg 418 2, 3, 6

    • Chapter 11

      Chapter 11 Polynomial Functions
      Unit Question:
      What is the purpose of finding the roots of a function?

      Lesson Essential Questions:

      (1) What is a root or a zero of a function?
      (2) How do you use the remainder and factor theorems?
      (3) How can you find information about the roots of a polynomial?
      (4) What is a rational root?
      (5) What is Descartes Rule of Signs?
      (6) How do you graph a higher degree polynomial function?

      WORD LIST:
      terms, polynomials, factors, roots, zeros, solutions, rational roots, leading coefficient, multiplicity, intercepts

      Homework:

      Page 483 2-16 even skip 10 and 12

      2-4 remainder theorem

      6-8 synthetic division

      14-16 long division

      Page 495 4, 8, 12, 16, 18, 28, 40

      Page 503 2 – 10 even

      Use decartes’ rule of signs to determine the number of possible positive and negative roots for each

      Page 499 2- 12 even

      Find all roots if possible or prove that none exist

      Page 507 4 to 16 by 4

      Review Sheet

       

    • Chapter 12

      Chapter 12 Exponential and Logarithmic Functions

      Unit Question:
      What is a logarithmic function?

      Lesson Essential Questions:
      (1) What is the inverse of a function?
      (2) What are exponential ad logarithmic functions?
      (3) How are exponential and logarithmic functions related?
      (4) What are the basic properties of logarithmic functions?
      (5) How do you solve exponential and logarithmic equations?
      (6) What are the natural log and the number e? What is the change of base ?

      WORD LIST:
      Inverse, Exponential, Logarithmic, base, exponent, e, ln(x)

      Homework:
       Day 1: Page: 519 – 520
       4 to 36 by 4’s plus 38, 48 and 52
       Day 2: Page: 525
      4 – 24 by 4’s and 26
       Day 3: Page 1: worksheet
       Day 4: Page 2: worksheet
       Day 5: Page 3: worksheet
       Day 6: Page 4: worksheet
       Day 7: Review worksheet 1


    • Chapter 14

      Chapter 14 Sequence and Series

      Unit Question:
      What is the significance of sequence and series?

      Lesson Essential Questions:

      (1) What is the difference between a sequence and a series?
      (2) What makes a sequence arithmetic?
      (3) What makes a sequence geometric?
      (4) What is an infinite series?

      WORD LIST:
      Sequence, series, nth or general term, subscript, common difference, common ratio, arithmetic or geometric mean, divergent, convergent, recursion, infinite series, limit

      All homework
      worksheets

    • This topic

      Chapter 17

      Chapter 17 Right Triangle Trigonometry
      Unit Question:
      How does trigonometry apply to the world around us?

      Lesson Essential Questions:

      (1) What are the three primary trigonometric ratios?
      What is the relationship to the three secondary trigonometric ratios?
      (2) How can the three primary trig ratios be used to find a missing side of a right triangle?
      (3) How can the three primary trig ratios be used to find a missing angle of a right triangle?

      WORD LIST:
      Sine, Cosine, Tangent, Cotangent, Secant, Cosecant, Opposite, Adjacent, Hypotenuse

    • Topic 18

      Chapter 10 Quadratic Functions and Transformations
      Unit Question:
      What are the different conic sections?

      Lesson Essential Questions:

      (1) How do you find the distance between two coordinates?
      (2) What is the relationship between the equation for a circle and its radius and center?
      (3) What is the relationship between the equation for an ellipse and its vertices and foci?
      (4) What is the relationship between the equation for a hyperbola and its vertices and foci, etc?
      (5) What is the relationship between the equation for a parabola and its vertex and focus, etc?

      WORD LIST:
      Conic Section, Circle, Ellipse, Parabola, Hyperbola, Distance, Midpoint, Vertex, Focus, Axis, Directrix, Center, Radius, Diameter