Correlation Between the California Content Standards and the eTAP Lessons

Algebra 2

Topics marked by yellow are accessible from the Demo. You need to become a subscribing Member to access other lessons. Below are the eTAP lessons covering each standard. Click on the eTAP lesson for access to the Q/A & video.

Pre-Test California Content Standards eTAP Lessons
Outside Link		 Post-Test
Q&A 1.0 Students solve equations and inequalities involving absolute value. Equations
Inequalities

  Dangerous World of Pre-Calculus, The, Program 3: Solving Systems Q&A
http://www.cusd.com/calonline/alge
bra/module09/module09.htm
Q&A 2.0 Students solve systems of linear equations and inequalities (in two or three variables) by substitution, with graphs, or with matrices. Systems of Equations 
Graphing Linear Equations I. Graphing Linear Equations II.		  Full Video Pumped-Up World of Pre-Algebra, The, Program 6: Using Graphs Q&A
http://regentsprep.org/regents/math/math-
topic.cfm?TopicCode=syslin
Q&A 3.0 Students are adept at operations on polynomials, including long division. Sequences, Series  Adventurous World of Algebra, The, Program 7: Polynomials Q&A
http://www.purplemath.com/modul
es/polydiv2.htm
Q&A 4.0 Students factor polynomials representing the difference of squares, perfect square trinomials, and the sum and difference of two cubes. Factoring Polynomials
Factoring		  Factoring II Q&A
http://www.purplemath.com/module
s/simpfact.htm
Q&A 5.0 Students demonstrate knowledge of how real and complex numbers are related both arithmetically and graphically. In particular, they can plot complex numbers as points in the plane. Zeros of Polynomial Functions 
Inverse Variation		  Adventurous World of Algebra, The, Program 6: The Quadratic Formula Q&A
http://mathworld.wolfram.com/Comp
lexNumber.html
6.0 Students add, subtract, multiply, and divide complex numbers. Zeros of Polynomial Functions 
Inverse Variation		   Discovering Math: Concepts in Number Theory Q&A
http://regentsprep.org/REgents/mathb/mathb-topic.cfm?TopicCode=3C2
Q&A 7.0 Students add, subtract, multiply, divide, reduce, and evaluate rational expressions with monomial and polynomial denominators and simplify complicated rational expressions, including those with negative exponents in the denominator. Negative and Rational Exponents 
Working with Rational Expressions I. 
Working with Rational Expressions II. 		 Dangerous World of Pre-Calculus, The, Program 1: Rational Functions Q&A
http://faculty.ed.umuc.edu/~swalsh/Mat
h%20Articles/RationalE.html
Q&A 8.0 Students solve and graph quadratic equations by factoring, completing the square, or using the quadratic formula. Students apply these techniques in solving word problems. They also solve quadratic equations in the complex number system. Quadratics  Quadratic Equations

Quadratic Equations II

 Q&A
http://regentsprep.org/Regents/m
athb/7D1/quadlesson.htm
Q&A 9.0 Students demonstrate and explain the effect that changing a coefficient has on the graph of quadratic functions; that is, students can determine how the graph of a parabola changes as a, b, and c vary in the equation
y = a(x-b)2 + c.		 Quadratic Functions   Math Factor: General Quadratic Relation: An Introduction

Math Factor: General Quadratic Relation: Parabolas and Hyperbolas

 Q&A
http://www.themathpage.com/aPreCalc/graph-of-parabola.htm
10.0 Students graph quadratic functions and determine the maxima, minima, and zeros of the function. Quadratic Functions  Discovering Math: Algebra

Discovering Math: Concepts in Algebra 		Q&A
http://www.purplemath.com/modules/grphquad.htm
  11.0 Students prove simple laws of logarithms.
Q&A 11.1 Students understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents. Inverses of Linear Functions 
Inverses of Exponential Functions		  The Dangerous World of Pre-Calculus, Program 6: Logarithms Q&A
http://www.themathpage.com/aPreCalc/
logarithms.htm
Q&A 11.2 Students judge the validity of an argument according to whether the properties of real numbers, exponents, and logarithms have been applied correctly at each step. Logarithmic Functions  The Dangerous World of Pre-Calculus, Program 7: Solving Log Equations

Math Factor: Laws of Logarithms: Evaluating Logarithmic Expressions 		Q&A
http://www.zweigmedia.com/RealWorld/
calctopic1/logs.html
Q&A 12.0 Students know the laws of fractional exponents, understand exponential functions, and use these functions in problems involving exponential growth and decay. Exponential Functions  Math Factor: Sketching and Graphing Exponential Functions

The Dangerous World of Pre-Calculus, Program 4: Exponential Functions 		Q&A
http://regentsprep.org/Regents/mathb/3B1
/RatPowersles.htm
Q&A 13.0 Students use the definition of logarithms to translate between logarithms in any base. http://archives.math.utk.edu/visual.calculus/0/ex
p_log.7/index.html 		 The Dangerous World of Pre-Calculus, Program 7: Solving Log Equations

Math Factor: Logarithmic and Expontential Equations 		Q&A
Q&A 14.0 Students understand and use the properties of logarithms to simplify logarithmic numeric expressions and to identify their approximate values. Logarithmic Functions  Math Factor: Inverse of the Exponential Function: The Logarithmic Function

Dangerous World of Pre-Calculus,  Program 6: Logarithms 		Q&A
http://www.math.unc.edu/Faculty/mccombs/we
b/alg/classnotes/logs/logprops.html
Q&A 15.0 Students determine whether a specific algebraic statement involving rational expressions, radical expressions, or logarithmic or exponential functions is sometimes true, always true, or never true. Using Rational Numbers 
Radicals 
 Logarithmic Functions 
Polynomial and Rational Functions 		The Dangerous World of Pre-Calculus, Program 1: Rational Functions

Math Factor: Exponential and Logarithmic Functions Review and Problem Solving 		Q&A
Q&A 16.0 Students demonstrate and explain how the geometry of the graph of a conic section (e.g., asymptotes, foci, eccentricity) depends on the coefficients of the quadratic equation representing it. Graphing Quadratic Functions 
 Quadratic Functions		  The Dangerous World of Pre-Calculus, Program 2: Graphing Functions

Math Factor: General Quadratic Relation: An Introduction 		Q&A
http://mathdemos.gcsu.edu/mathdemos/famil
y_of_functions/conic_gallery.html
Q&A 17.0 Given a quadratic equation of the form
 ax2 + by2 + cx + dy + e = 0, students can use the method for completing the square to put the equation into standard form and can recognize whether the graph of the equation is a circle, ellipse, parabola, or hyperbola. Students can then graph the equation.		 Factoring Quadratics  Math Factor: Alternate Locus Definitions: Ellipse and Circle

Math Factor: General Quadratic Relation: Parabolas and Hyperbolas		 Q&A
http://www.purplemath.com/modules/sqrquad.htm
Q&A 18.0 Students use fundamental counting principles to compute combinations and permutations.

Fundamental Counting Principle, Factorial

Permutation and Combination

 Math Factor: Fundamental Counting Principle and Permutations

Math Factor: Probability

Math Factor: Probability: Combinatorics 		Q&A
http://regentsprep.org/Regents/Math/math-topic.cfm?TopicCode=counting
Q&A 19.0 Students use combinations and permutations to compute probabilities. Permutation and Combination Q&A
http://regentsprep.org/regents/math/math-topic.cfm?TopicCode=permut
Q&A 20.0 Students know the binomial theorem and use it to expand binomial expressions that are raised to positive integer powers. http://www.regentsprep.org/Regents/math/algtrig
/ATP4/bintheorem.htm 		 Math Factor: Binomial Theorem (Pascal's Triangle) Q&A
Q&A 21.0 Students apply the method of mathematical induction to prove general statements about the positive integers. Inductive Reasoning  Power of Algebra, The: Using Positive Exponents Q&A
http://changingminds.org/disciplines/arg
ument/types_reasoning/induction.htm
Q&A 22.0 Students find the general term and the sums of arithmetic series and of both finite and infinite geometric series. Arithmetic and Geometric Series  Math Factor: Permutations and Combinations Review

Discovering Math: Concepts in Advanced Algebra 		Q&A
http://www.regentsprep.org/Regents/math/algtr
ig/ATP2/ArithSeq.htm
Q&A 23.0 Students derive the summation formulas for arithmetic series and for both finite and infinite geometric series. Sums of Arithmetic Series
Sums of Geometric Series 		 Math Factor: Sequences and Series Review

Math Factor: Sigma Notation 		Q&A
http://www.regentsprep.org/Regent
s/math/algtrig/ATP2/ArithSeq.htm
Q&A 24.0 Students solve problems involving functional concepts, such as composition, defining the inverse function and performing arithmetic operations on functions. Linear Functions
 Exponential Functions
Quadratic Functions		  The Power of Algebra: Inverse Operations

The Power of Algebra: Order of Operations

TEAMS: Algebraic Concepts: Staff Development (Part 1)

The Adventurous World of Algebra Program 2: Functions		 Q&A
http://ocw.mit.edu/ans7870/18/18.013a/textbo
ok/HTML/tools/tools01.html
Q&A 25.0 Students use properties from number systems to justify steps in combining and simplifying functions. http://www.mathematicshelpcentral.com/lecture_
notes/intermediatecollege_algebra/real_number_
system_and_properties.htm 		Q&A