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This module contains a table of every module within the three books of Kenny Felder's course on "Algebra II", with links to the modules.

Over a period of time, I have developed a set of in-class assignments, homeworks, and lesson plans, that work for me and for other people who have tried them. The complete set comprises three separate books that work together:

  • The Homework and Activities Book contains in-class and homework assignments that are given to the students day-by-day.
  • The Concepts Book provides conceptual explanations, and is intended as a reference or review guide for students; it is not used when teaching the class.
  • The Teacher's Guide provides lesson plans; it is your guide to how I envisioned these materials being used when I created them (and how I use them myself).

Instructors should note that this book probably contains more information than you will be able to cover in a single school year. I myself do not teach from every chapter in my own classes, but have chosen to include these additional materials to assist you in meeting your own needs. As you will likely need to cut some sections from the book, I strongly recommend that you spend time early on to determine which modules are most important for your state requirements and personal teaching style.

One more warning is important: these materials were designed for an Advanced Algebra II course. For such a course, I hope this will provide you with ready-to-use textbook and lesson plans. If you are teaching a Standard or Remedial-level course, these materials will still be useful, but you will probably have to cut or reduce some of the most conceptual material, and supplement it with more drill-and-practice than I provide.

The following table of contents provides a list of topics covered in this course with links to each module. You can use these links to move between the books or to jump ahead to any topic.

Conceptual Explanations
[col10624]
Activities&Homework
[col10686]
Teacher's Guide
[col10687]
Functions
Introduction [m19335]
Function Concepts [m18192]
What is a Variable? [m18194]
What is a Function? [m18189]
The Rule of Consistency [m19190]
Four Ways to Represent a Function [m18195]
Domain and Range [m18191]
The Function Game [m19121] [m19342]
The Function Game: Introduction [m19125]
The Function Game: Leader's Sheet [m19126]
The Function Game: Answer Sheet [m19124]
Functions in the Real World [m18193] [m19331]
Homework: Functions in the Real World [m19115]
Function Notation [m18188]
Algebraic Generalizations [m18186] [m19114] [m19332]
Homework: Algebraic Generalizations [m19108]
Graphing [m18196] [m19334]
Homework: Graphing [m19116]
Horizontal and Vertical Permutations [m19110] [m19339]
Homework: Horizontal and Vertical Permutations I [m19119]
Homework: Horizontal and Vertical Permutations II [m31952]
Sample Test: Functions I [m19122] [m19340]
Lines [m18197] [m19113] [m19337]
Homework: Graphing Lines [m19118]
Composite Functions [m18187] [m19109] [m19333]
Homework: Composite Functions [m19107]
Inverse Functions [m18198] [m19112] [m19336]
Homework: Inverse Functions [m19120]
TAPPS Exercise: How do I Solve That For y? [m19123]
Sample Test: Functions II [m19117]
Inequalities and Absolute Values
Introduction [m19432]
Inequalities [m18205] [m19158] [m19430]
Homework: Inequalities [m19154]
Inequality Word Problems [m19163] [m19428]
Absolute Value Equations [m18201] [m19148] [m19426]
Homework: Absolute Value Equations [m19151]
Absolute Value Inequalities [m18207] [m19151] [m19431]
Homework: Absolute Value Inequalities [m19155]
Graphing Absolute Values [m18199]
Graphing Inequalities [m18208]
Graphing Inequalities and Absolute Values [m19150] [m19433]
"Piecewise Functions" and Absolute Value [m18200]
Homework: Graphing Inequalities and Absolute Values [m19153]
Sample Test: Inequalities and Absolute Values [m19166]
Simultaneous Equations
Introduction to Simultaneous Equations [m19497]
Distance, Rate, and Time [m18211] [m19288]
Simultaneous Equations by Graphing [m18209] [m19291]
Homework: Simultaneous Equations by Graphing [m19291]
Substitution [m18211]
Elimination [m18215]
Special Cases [m18213]
Word Problems [m18210]
Using Letters as Numbers [m18214]
Simultaneous Equations [m19293] [m19498]
Homework: Simultaneous Equations [m19289]
The "Generic" Simultaneous Equation [m19294] [m19499]
Sample Test: 2 Equations and 2 Unknowns [m19292]
Quadratics
Introduction [m19469]
Multiplying Binomials [m18224] [m19247] [m19472]
Homework: Multiplying Binomials [m19253]
Factoring [m18227] [m19243] [m19466]
Solving Quadratic Equations by Factoring [m18222]
Homework: Factoring Expressions [m19248]
Introduction to Quadratic Equations [m19246] [m19470]
Homework: Introduction to Quadratic Equations [m19251]
Solving Quadratic Equations by Completing the Square [m18217]
Completing the Square [m19242] [m19465]
Homework: Completing the Square [m19249]
The Quadratic Formula [m18231]
The "Generic" Quadratic Equation [m19262] [m19480]
Homework: Solving Quadratic Equations [m19256]
Sample Test: Quadratic Equations I [m19259]
Different Types of Solutions to Quadratic Equations [m18216]
Graphing Quadratic Functions [m18228] [m19245] [m19468]
Graphing Quadratic Functions II [m19244] [m19467]
Homework: Graphing Quadratic Functions II [m19250]
Solving Problems by Graphing Quadratic Equations [m18220] [m19260] [m19479]
Homework: Solving Problems by Graphing Quadratic Equations [m19255]
Quadratic Inequalities [m18230] [m19257]
Homework: Quadratic Inequalities [m19254] [m19473]
Sample Test: Quadratics II [m19258]
Exponents
Introduction [m19325]
Exponent Concepts [m18232]
Laws of Exponents [m18235]
Zero, Negative Numbers, and Fractions as Exponents [m18234]
Exponential Curves [m18233]
Rules of Exponents [m19104] [m19327]
Homework: Rules of Exponents [m19101]
Extending the Idea of Exponents [m19096] [m19328]
Homework: Extending the Idea of Exponents [m19098]
Fractional Exponents [m19097] [m19322]
Homework: Fractional Exponents [m19100]
"Real Life" Exponential Curves [m19103] [m19329]
Homework: "Real Life" Exponential Curves [m19102]
Sample Test: Exponents [m19105]
Logarithms
Logarithm Concepts [m18242]
Logarithms Explained by Analogy to Roots [m18236]
Rewriting Logarithm Equations as Exponent Equations [m18241]
The Logarithm Defined as an Inverse Function [m18240]
Introduction [m19175] [m19436]
Homework: Logs [m19176]
Properties of Logarithms [m18239] [m19269] [m19438]
Homework: Properties of Logarithms [m19177]
Using the Laws of Logarithms [m19184] [m19440]
Common Logarithms [m18237]
Graphing Logarithmic Functions [m18238]
So What Are Logarithms Good For, Anyway? [m19181]
Homework: So What Are Logarithms Good For, Anyway? [m19268] [m19439]
Sample Test [m19180]
Rational Expressions
Introduction [m19486]
Rational Expressions Concepts [m18304]
Simplifying Rational Expressions [m18296]
Multiplying Rational Expressions [m18301]
Adding and Subtracting Rational Expressions [m18303]
Rational Expressions [m19278] [m19488]
Homework: Rational Expressions [m19275]
Rational Equations [m18302] [m19279] [m19489]
Homework: Rational Expressions and Equations [m19277]
Dividing Polynomials [m18299] [m19276] [m19487]
Sample Test: Rational Expressions [m19274]
Radicals
Radical Concepts [m18244]
Radicals (*aka Roots) [m19420]
Properties of Radicals [m18271]
Radicals and Exponents [m19419]
Some Very Important Generalizations [m19422]
Simplifying Radicals [m18274] [m19421]
Introduction [m19484]
Homework: Radicals [m19270]
A Bunch of Other Stuff About Radicals [m19263] [m19483]
Homework: A Bunch of Other Stuff About Radicals [m19264]
Radical Equations [m18273] [m19272] [m19485]
Homework: Radical Equations [m19271]
Sample Test: Radicals [m19273]
Imaginary Numbers
Introduction [m19424]
Imaginary Numbers Concepts [m18285]
Playing with i [m18286]
Introduction to Imaginary Numbers [m21990]
Imaginary Numbers [m19129]
Homework: Imaginary Numbers [m19130]
Complex Numbers [m18282] [m19128] [m19423]
Equality and Inequality in Complex Numbers [m18283]
Homework: Complex Numbers [m19132]
Quadratic Equations and Complex Numbers [m18288]
Me, Myself, and the Square Root of i [m19134] [m19425]
The Many Merry Cube Roots of -1 [m19131]
Homework: Quadratic Equations and Complex Numbers [m19127]
A Few "Extras For Experts" Thoughts on Imaginary Numbers [m18284]
Sample Test: Complex Numbers [m19133]
Matrices
Matrices [m18311]
Introduction to Matrices [m19206] [m19445]
Homework: Introduction to Matrices [m19205]
Multiplying Matrices [m18291]
Multiplying Matrices I [m19207] [m19448]
Homework: Multiplying Matrices I [m19196]
Multiplying Matrices II [m19208] [m19449]
Homework: Multiplying Matrices II [m19201]
The Identity Matrix [m18293]
The Inverse Matrix [m18294]
The Identity and Inverse Matrices [m19213] [m19443]
Homework: The Identity and Inverse Matrices [m19194]
The Inverse of the Generic 2x2 Matrix [m19214] [m19446]
Using Matrices for Transformations [m19221] [m19451]
Homework: Using Matrices for Transformations [m19190]
Sample Test: Matrices I [m19210]
Matrices on a TI-83 or TI-84 Calculator [m18290]
Matrices on the Calculator [m19447]
Homework: Calculators [m19188]
Determinants [m18289] [m19442]
Homework: Determiners [m19193]
Solving Linear Equations [m18292] [m19212] [m19450]
Homework: Solving Linear Equations [m19204]
Sample Test: Matrices II [m19209]
Modeling Data with Functions
Introduction [m19454]
Data Modeling Concepts [m18277]
Direct and Inverse Variation [m18281] [m19452]
Direct Variation [m19228]
Homework: Inverse Variation [m19227]
Homework: Direct and Inverse Variation [m19225]
Finding a Linear Function For Any Two Points [m18278]
Finding a Parabolic Function For Any Three Points [m18279]
From Data Points to Functions [m19224]
Homework: From Data Points to Functions [m19232]
Calculator Regression [m18280] [m19453]
Homework: Calculator Regression [m19231]
Sample Test: Modeling Data With Functions [m19222]
Conics
Introduction [m19307]
Conic Concepts [m18265]
A Mathematical Look at Distance [m18246]
Distance [m19081] [m19299]
Homework: Distance [m19086]
Circles [m18245] [m19298]
All the Points Equidistant from a Given Point [m19078]
Homework: Circles [m19084]
Parabolas [m18268]
All the Points Equidistant from a Point and a Line [m19079]
Parabolas: Day 1 [m19315]
Homework: Vertical and Horizontal Parabolas [m19086]
Parabolas: Day 2 [m19313]
Parabolas: From Definition to Equation [m19092] [m19311]
Sample Test: Distance, Circles, and Parabolas [m19094]
Ellipses [m18247] [m19303]
Distance from this point plus distance to that point is Constant [m19083]
Homework: Ellipses [m19088]
Ellipses: From Definition to Equation [m19095] [m19305]
Hyperbolas [m18249] [m19306]
Distance from this point minus distance from that point is constant [m19082]
Homework: Hyperbolas [m19089]
A Brief Recap: How Do You Tell What Shape It Is? [m18270]
Sample Test: Conics 2 (Ellipses and Hyperbolas) [m19093]
Sequences and Series
Prerequisites [m19495]
Sequences [m19076]
Arithmetic and Geometric Sequences [m19285] [m19490]
Homework: Arithmetic and Geometric Sequences [m19284]
Series [m19074]
Series and Series Notation [m19491]
Homework: Series and Series Notation [m19280]
Arithmetic and Geometric Series [m19494]
Homework: Arithmetic and Geometric Series [m19282]
Proof by Induction [m19075] [m19492]
Homework: Proof by Induction [m19281]
Extra Credit [m19493]
Sample Test: Sequences and Series [m19283]
Probability
How Many Groups? [m19236]
Tree Diagrams [m19463]
Homework: Tree Diagrams [m19234]
Probability Concepts [m19073]
Introduction to Probability [m19237] [m19461]
Homework: The Multiplication Rule [m19233]
Trickier Probability Problems [m19464]
Homework: Trickier Probability Problems [m19235]
Permutations [m19072] [m19462]
Homework: Permutations [m19241]
Combinations [m19071] [m19460]
Homework: Permutations and Combinations [m19240]
Sample Test: Probability [m19238]

Questions & Answers

Three charges q_{1}=+3\mu C, q_{2}=+6\mu C and q_{3}=+8\mu C are located at (2,0)m (0,0)m and (0,3) coordinates respectively. Find the magnitude and direction acted upon q_{2} by the two other charges.Draw the correct graphical illustration of the problem above showing the direction of all forces.
Kate Reply
To solve this problem, we need to first find the net force acting on charge q_{2}. The magnitude of the force exerted by q_{1} on q_{2} is given by F=\frac{kq_{1}q_{2}}{r^{2}} where k is the Coulomb constant, q_{1} and q_{2} are the charges of the particles, and r is the distance between them.
Muhammed
What is the direction and net electric force on q_{1}= 5µC located at (0,4)r due to charges q_{2}=7mu located at (0,0)m and q_{3}=3\mu C located at (4,0)m?
Kate Reply
what is the change in momentum of a body?
Eunice Reply
what is a capacitor?
Raymond Reply
Capacitor is a separation of opposite charges using an insulator of very small dimension between them. Capacitor is used for allowing an AC (alternating current) to pass while a DC (direct current) is blocked.
Gautam
A motor travelling at 72km/m on sighting a stop sign applying the breaks such that under constant deaccelerate in the meters of 50 metres what is the magnitude of the accelerate
Maria Reply
please solve
Sharon
8m/s²
Aishat
What is Thermodynamics
Muordit
velocity can be 72 km/h in question. 72 km/h=20 m/s, v^2=2.a.x , 20^2=2.a.50, a=4 m/s^2.
Mehmet
A boat travels due east at a speed of 40meter per seconds across a river flowing due south at 30meter per seconds. what is the resultant speed of the boat
Saheed Reply
50 m/s due south east
Someone
which has a higher temperature, 1cup of boiling water or 1teapot of boiling water which can transfer more heat 1cup of boiling water or 1 teapot of boiling water explain your . answer
Ramon Reply
I believe temperature being an intensive property does not change for any amount of boiling water whereas heat being an extensive property changes with amount/size of the system.
Someone
Scratch that
Someone
temperature for any amount of water to boil at ntp is 100⁰C (it is a state function and and intensive property) and it depends both will give same amount of heat because the surface available for heat transfer is greater in case of the kettle as well as the heat stored in it but if you talk.....
Someone
about the amount of heat stored in the system then in that case since the mass of water in the kettle is greater so more energy is required to raise the temperature b/c more molecules of water are present in the kettle
Someone
definitely of physics
Haryormhidey Reply
how many start and codon
Esrael Reply
what is field
Felix Reply
physics, biology and chemistry this is my Field
ALIYU
field is a region of space under the influence of some physical properties
Collete
what is ogarnic chemistry
WISDOM Reply
determine the slope giving that 3y+ 2x-14=0
WISDOM
Another formula for Acceleration
Belty Reply
a=v/t. a=f/m a
IHUMA
innocent
Adah
pratica A on solution of hydro chloric acid,B is a solution containing 0.5000 mole ofsodium chlorid per dm³,put A in the burret and titrate 20.00 or 25.00cm³ portion of B using melting orange as the indicator. record the deside of your burret tabulate the burret reading and calculate the average volume of acid used?
Nassze Reply
how do lnternal energy measures
Esrael
Two bodies attract each other electrically. Do they both have to be charged? Answer the same question if the bodies repel one another.
JALLAH Reply
No. According to Isac Newtons law. this two bodies maybe you and the wall beside you. Attracting depends on the mass och each body and distance between them.
Dlovan
Are you really asking if two bodies have to be charged to be influenced by Coulombs Law?
Robert
like charges repel while unlike charges atttact
Raymond
What is specific heat capacity
Destiny Reply
Specific heat capacity is a measure of the amount of energy required to raise the temperature of a substance by one degree Celsius (or Kelvin). It is measured in Joules per kilogram per degree Celsius (J/kg°C).
AI-Robot
specific heat capacity is the amount of energy needed to raise the temperature of a substance by one degree Celsius or kelvin
ROKEEB
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Source:  OpenStax, Advanced algebra ii: conceptual explanations. OpenStax CNX. May 04, 2010 Download for free at http://cnx.org/content/col10624/1.15
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