A look at
Algebra 2 textbooks (as promised a month ago):
|
Dolciani
(1977)
|
Heath
(1998)
|
Pearson
(2012)
|
Chapter 1
|
Vocabulary and the Operations of Algebra (Expressions, operations,
solving 1 variable equations)
|
Review of Basic Algebra (Operations, Solving 1 variable equations,
inequalities, absolute value equations and inequalities)
|
Expressions, Equations, & Inequalities (including absolute value)
|
Chapter 2
|
Properties of Real Numbers (including compound inequalities)
|
Linear Equations (Graphing, slope, 2 variable inequalities, absolute
value graphs)
|
Functions, Equations, and Graphs (linear and absolute value)
|
Chapter 3
|
Linear Open Sentences (Graphs, slope, linear equations, systems of
equations & inequalities)
|
Systems of Linear Equations and Inequalities
|
Systems of Equations and Inequalities (linear only)
|
Chapter 4
|
Functions & Polynomials (linear functions, direct variation,
multiplying and dividing polynomials, synthetic division—optional)
|
Matrices and Determinants
|
Quadratic Functions and Equations
|
Chapter 5
|
Factoring Polynomials (GCF, quadratics—factoring and solving)
|
Quadratic Equations and Parabolas (Solving, graphing, quadratic
formula, completing the square, complex numbers, quadratic inequalities)
|
Polynomials and Polynomial Functions (including the fundamental
theorem of algebra, remainder theorem, rational root theorem)
|
Chapter 6
|
Rational Expressions
|
Functions (Operations, inverse functions, transformations of function
graphs, recursive functions)
|
Radical Exponents and Rational Functions
|
Chapter 7
|
Radicals and Irrational Numbers
|
Powers, Roots, and Radicals
|
Exponential and Logarithmic Functions
|
Chapter 8
|
Quadratic Equations and Functions (Solving, complex numbers,
quadratic formula)
|
Exponential and Logarithmic Functions
|
Rational Functions
|
Chapter 9
|
Quadratic Relations and Systems (Distance formula—yes, I know!
Perpendicular slope, conics, solving quadratic systems)
|
Polynomials and Polynomial Functions (operations, division, synthetic
division, fundamental theorem of algebra, remainder theorem, rational root
theorem)
|
Sequences and Series
|
Chapter 10
|
Exponential Functions and Logarithms
|
Rational Functions
|
Conic Sections
|
Chapter 11
|
Sequences and series
|
Quadratic Relations (conics)
|
Probability and Statistics
|
Chapter 12
|
Permutations, Combinations, and Probability
|
Sequences and Series
|
Matrices
|
Chapter 13
|
Matrices
|
Trigonometric Relations and Functions
|
Periodic Functions and Trigonometry
|
Chapter 14
|
Trigonometry
|
Trigonometric Graphs, Equations, and Identities
|
Trigonometric Identities and Equations
|
Chapter 15
|
Trigonometric Identities and Formulas
|
Probability and Statistics
|
|
Chapter 16
|
Circular Functions and their Inverses (Radians, inverse trig
functions)
|
(None)
|
|
The largest
takeaway is how today’s textbooks rush ahead into more difficult concepts.
Quadratic Functions waits for a later time in the old texts while the current
textbook pushes them early and moves ahead. It is also noteworthy that in years
past, classes rarely reached the last two or three chapters in the book, which were
an advance look at the next course. It was no problem back then as there was no
standardized test to contend with and the following year, the new teacher
picked up where the old teacher had ended.
It is hard
to understand the demand of Common Core mathematics looking at these textbooks.
They cover all the topics under the Algebra 2 umbrella. You will only really
understand what has taken place when we take a look at Algebra 1 (which I will
have to do some work to report as I don’t have access to a current textbook.)
But here’s the gist: so much of Algebra 2 has been moved to Algebra 1 that most
of the year (in Florida) the students are reviewing what they were supposed to
learn earlier.
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