KatKat
02-18-2009, 05:10 AM
Is there such a thing a better sequence of topics in learning Algebra 2. Or does it even matter? I was wondering because the old Larson texts which Chalkdust uses and the newer texts from 2004 onwards have different sequence of topics. They have the same sequence from Prerequisite to Chapter 2, then differs . I am hoping for your thoughts on this. Which one has a better sequence for a non-mathy kid?
This is from the older Larson texts
P.1 The Real Number System
P.2 Operations with Real Numbers
P.3 Properties of Real Numbers
P.4 Algebraic Expressions
P.5 Constructing Algebraic Expressions Chapter 1
Linear Equations and Inequalities
1.1 Linear Equations
1.2 Linear Equations and Problem Solving
1.3 Business and Scientific Problems
1.4 Linear Inequalities
1.5 Absolute Value Equations and Inequalities Chapter 2
Graphs and Functions
2.1 The Rectangular Coordinate System
2.2 Graphs and Equations
2.3 Slope and Graphs of Linear Equations
2.4 Equations of Lines
2.5 Relations and Functions
2.6 Graphs of Equations Chapter 3
Polynomials and Factoring
3.1 Adding and Subtracting Polynomials
3.2 Multiplying Polynomials
3.3 Factoring Polynomials
3.4 Factoring Trinomials
3.5 Solving Polynomial Equations Chapter 4
Rational Expressions, Equations, and Functions
4.1 Integer Exponents and Scientific Notation
4.2 Rational Expressions and Functions
4.3 Multiplying and Dividing Rational Expressions
4.4 Adding and Subtracting Rational Expressions
4.5 Dividing Polynomials
4.6 Solving Rational Equations Chapter 5
Radicals and Complex Numberss
5.1 Radicals and Rational Exponents
5.2 Simplifying Radical Expressions
5.3 Multiplying and Dividing Radical Expressions
5.4 Solving Radical Equations
5.5 Complex Numbers Chapter 6
Quadratic Equations and Inequalities
6.1 Factoring and Extracting Square Roots
6.2 Completing the Square
6.3 The Quadratic Formula
6.4 Applications of Quadratic Equations
6.5 Quadratic and Rational Inequalities Chapter 7
Linear Models and Graphs of Nonlinear Models
7.1 Variation
7.2 Graphs of Linear Inequalities
7.3 Graphs of Quadratic Functions
7.4 Conic Sections
7.5 Graphs of Rational Functions Chapter 8
Systems of Equations
8.1 Systems of Equations
8.2 Linear Systems in Two Variables
8.3 Linear Systems in Three Variables
8.4 Matrices and Linear Systems
8.5 Determinants and Linear Systems Chapter 9
Exponential and Logarithmic Functions
9.1 Exponential Functions
9.2 Inverse Functions
9.3 Logarithmic Functions
9.4 Properties of Logarithms
9.5 Solving Exponential and Logarithmic Equations
9.6 Applications Chapter 10
Sequences, Series, and Probability
10.1 Sequences and Series
10.2 Arithmetic Sequences
10.3 Geometric Sequences and Series
10.4 The Binomial Theorem
10.5 Counting Principles
10.6 Probability
Below is from the newer Larson texts . From 2004 edition till 2010 . All have this same sequence now.
1. FUNDAMENTALS OF ALGEBRA.
The Real Number System. Operations with Real Numbers. Properties of Real Numbers. Mid-Chapter Quiz. Algebraic Expressions. Constructing Algebraic Expressions.
2. LINEAR EQUATIONS AND INEQUALITIES.
Linear Equations. Linear Equations and Problem Solving. Business and Scientific Problems. Mid-Chapter Quiz. Linear Inequalities. Absolute Value Equations and Inequalities.
3. GRAPHS AND FUNCTIONS.
The Rectangular Coordinate System. Graphs of Equations. Slope and Graphs of Linear Equations. Equations of Lines. Mid-Chapter Quiz. Graphs of Linear Inequalities. Relations and Functions. Graphs of Functions.
4. SYSTEMS OF EQUATIONS AND INEQUALITIES.
Systems of Equations. Linear Systems in Two Variables. Linear Systems in Three Variables. Mid-Chapter Quiz. Matrices and Linear Systems. Determinants and Linear Systems. Systems of Linear Inequalities.
5. POLYNOMIALS AND FACTORING.
Integer Exponents and Scientific Notation. Adding and Subtracting Polynomials. Multiplying Polynomials. Mid-Chapter Quiz. Factoring By Grouping and Special Forms. Factoring Trinomials. Solving Polynomial Equations by Factoring.
6. RATIONAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS.
Rational Expressions and Functions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Complex Fractions. Mid-Chapter Quiz. Dividing Polynomials and Synthetic Division. Solving Rational Equations. Applications and Variation.
7. RADICALS AND COMPLEX NUMBERS.
Radicals and Rational Exponents. Simplifying Radical Expressions. Adding and Subtracting Radical Expressions. Mid-Chapter Quiz. Multiplying and Dividing Radical Expressions. Radical Equations and Applications. Complex Numbers.
8. QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES.
Solving Quadratic Equations: Factoring and Special Form. Completing the Square. The Quadratic Formula. Mid-Chapter Quiz. Graphs of Quadratic Functions. Applications of Quadratic Equations. Quadratic and Rational Inequalities.
9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. Composite and Inverse Functions. Logarithmic Functions. Mid-Chapter Quiz. Properties of Logarithms. Solving Exponential and Logarithmic Equations. Applications.
10. CONICS.
Circles and Parabolas. Ellipses. Mid-Chapter Quiz. Hyperbolas. Solving Nonlinear Systems of Equations.
11. SEQUENCES, SERIES AND THE BINOMIAL THEOREM.
Sequences and Series. Arithmetic Sequences. Mid-Chapter Quiz. Geometric Sequences and Series. The Binomial Theorem.
This is from the older Larson texts
P.1 The Real Number System
P.2 Operations with Real Numbers
P.3 Properties of Real Numbers
P.4 Algebraic Expressions
P.5 Constructing Algebraic Expressions Chapter 1
Linear Equations and Inequalities
1.1 Linear Equations
1.2 Linear Equations and Problem Solving
1.3 Business and Scientific Problems
1.4 Linear Inequalities
1.5 Absolute Value Equations and Inequalities Chapter 2
Graphs and Functions
2.1 The Rectangular Coordinate System
2.2 Graphs and Equations
2.3 Slope and Graphs of Linear Equations
2.4 Equations of Lines
2.5 Relations and Functions
2.6 Graphs of Equations Chapter 3
Polynomials and Factoring
3.1 Adding and Subtracting Polynomials
3.2 Multiplying Polynomials
3.3 Factoring Polynomials
3.4 Factoring Trinomials
3.5 Solving Polynomial Equations Chapter 4
Rational Expressions, Equations, and Functions
4.1 Integer Exponents and Scientific Notation
4.2 Rational Expressions and Functions
4.3 Multiplying and Dividing Rational Expressions
4.4 Adding and Subtracting Rational Expressions
4.5 Dividing Polynomials
4.6 Solving Rational Equations Chapter 5
Radicals and Complex Numberss
5.1 Radicals and Rational Exponents
5.2 Simplifying Radical Expressions
5.3 Multiplying and Dividing Radical Expressions
5.4 Solving Radical Equations
5.5 Complex Numbers Chapter 6
Quadratic Equations and Inequalities
6.1 Factoring and Extracting Square Roots
6.2 Completing the Square
6.3 The Quadratic Formula
6.4 Applications of Quadratic Equations
6.5 Quadratic and Rational Inequalities Chapter 7
Linear Models and Graphs of Nonlinear Models
7.1 Variation
7.2 Graphs of Linear Inequalities
7.3 Graphs of Quadratic Functions
7.4 Conic Sections
7.5 Graphs of Rational Functions Chapter 8
Systems of Equations
8.1 Systems of Equations
8.2 Linear Systems in Two Variables
8.3 Linear Systems in Three Variables
8.4 Matrices and Linear Systems
8.5 Determinants and Linear Systems Chapter 9
Exponential and Logarithmic Functions
9.1 Exponential Functions
9.2 Inverse Functions
9.3 Logarithmic Functions
9.4 Properties of Logarithms
9.5 Solving Exponential and Logarithmic Equations
9.6 Applications Chapter 10
Sequences, Series, and Probability
10.1 Sequences and Series
10.2 Arithmetic Sequences
10.3 Geometric Sequences and Series
10.4 The Binomial Theorem
10.5 Counting Principles
10.6 Probability
Below is from the newer Larson texts . From 2004 edition till 2010 . All have this same sequence now.
1. FUNDAMENTALS OF ALGEBRA.
The Real Number System. Operations with Real Numbers. Properties of Real Numbers. Mid-Chapter Quiz. Algebraic Expressions. Constructing Algebraic Expressions.
2. LINEAR EQUATIONS AND INEQUALITIES.
Linear Equations. Linear Equations and Problem Solving. Business and Scientific Problems. Mid-Chapter Quiz. Linear Inequalities. Absolute Value Equations and Inequalities.
3. GRAPHS AND FUNCTIONS.
The Rectangular Coordinate System. Graphs of Equations. Slope and Graphs of Linear Equations. Equations of Lines. Mid-Chapter Quiz. Graphs of Linear Inequalities. Relations and Functions. Graphs of Functions.
4. SYSTEMS OF EQUATIONS AND INEQUALITIES.
Systems of Equations. Linear Systems in Two Variables. Linear Systems in Three Variables. Mid-Chapter Quiz. Matrices and Linear Systems. Determinants and Linear Systems. Systems of Linear Inequalities.
5. POLYNOMIALS AND FACTORING.
Integer Exponents and Scientific Notation. Adding and Subtracting Polynomials. Multiplying Polynomials. Mid-Chapter Quiz. Factoring By Grouping and Special Forms. Factoring Trinomials. Solving Polynomial Equations by Factoring.
6. RATIONAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS.
Rational Expressions and Functions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Complex Fractions. Mid-Chapter Quiz. Dividing Polynomials and Synthetic Division. Solving Rational Equations. Applications and Variation.
7. RADICALS AND COMPLEX NUMBERS.
Radicals and Rational Exponents. Simplifying Radical Expressions. Adding and Subtracting Radical Expressions. Mid-Chapter Quiz. Multiplying and Dividing Radical Expressions. Radical Equations and Applications. Complex Numbers.
8. QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES.
Solving Quadratic Equations: Factoring and Special Form. Completing the Square. The Quadratic Formula. Mid-Chapter Quiz. Graphs of Quadratic Functions. Applications of Quadratic Equations. Quadratic and Rational Inequalities.
9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. Composite and Inverse Functions. Logarithmic Functions. Mid-Chapter Quiz. Properties of Logarithms. Solving Exponential and Logarithmic Equations. Applications.
10. CONICS.
Circles and Parabolas. Ellipses. Mid-Chapter Quiz. Hyperbolas. Solving Nonlinear Systems of Equations.
11. SEQUENCES, SERIES AND THE BINOMIAL THEOREM.
Sequences and Series. Arithmetic Sequences. Mid-Chapter Quiz. Geometric Sequences and Series. The Binomial Theorem.