Algebra and Trigonometry: Structure and Method Book 2
Brown, Dolciani, Sorgenfrey, Kane
Houghton Mifflin
NutshellMath covers the following topics in this book:
Operations with Real Numbers; Multiplication and Division of Real Numbers
Algebraic Expressions and Properties of Numbers
The Distributive Property
Working with Equations; Solving Equations, Writing Equations
Working with Exponents; Exponential Notation, Properties of Exponents, Scientific Notation
Field Axioms, Theorems, and Proofs
Solving and Using Equations and Formulas
Working with Inequalities; Solving Inequalities, Using Inequalities, Compound Inequalities
Absolute Value
Proofs in Solving Equatio
Relations, Ordered Pairs, and Functions
Graphs and Graphs of Linear Equations
Slope
Parallel and Perpendicular Lines
Using Linear Functions
Working with Systems of Equations; Systems of Equations in Two or Three Variables, Solving Systems of Equations, Using a System of Two or Three Equations
Consistent and Dependent Systems
Systems of Inequalities
Using Linear Programming
Polynomials and Functions
Operations with Polynomials; Adding, Subtracting, Multiplying and Factoring Polynomials
Factoring Polynomials; General Strategies, Solving Equations by Factoring
Using Equations
Operations with Rational Expressions; Multiplying, Simplifying, Addition and Subtraction
Complex Rational Expressions
Division of Polynomials and Synthetic Division
Solving Rational Equations and Using Rational Expressions
Formulas
Variation and Problem Solving
Operations with Radical Expressions; Multiplying and Simplifying, More Operations with Radical Expressions
Rational Numbers as Exponents
Solving Radical Equations
Imaginary and Complex Numbers, and Graphing
Solutions of Equations
Introduction to Quadratic Equations; Using Quadratic Equations
Solving Quadratic Equations; The Quadratic Formula, Solutions of Quadratic Equations, Equations Reducible to Quadratic Form
Formulas and Problem Solving
Quadratic Variations and Applications
Symmetry, Transformations, Stretching and Shrinking
Graphs of Quadratic Functions, Graphs and x-Intercepts
Graphs of f(x)=a(x-h)^2+k
Standard Form for Quadratic Functions
Coordinate Geometry
Conic Sections; Circles, Ellipses, Hyperbolas and Parabolas
Second-Degree Equations and Systems; Using Systems of Second-Degree Equations
Solving Quadratic Systems Algebraicallys
Polynomials and Polynomial Functions
The Remainder and Factor Theorems
Theorems about Roots
Rational Roots
Descartes’ Rule of Signs
Graphs of Polynomial Functions
Inverse Relations and Functions
Exponential and Logarithmic Functions and Relations
Working with Logarithmic Functions; Properties of Logarithmic Functions, Logarithmic Function Values
Interpolation
Exponential and Logarithmic Equations
Natural Logarithms and the Number
Matrices and Systems of Equations
Operations with Matrices; Addition, Subtraction and Multiplication of Matrices
Determinants and Cramer’s Rule
Using Inverses; Inverse of Matrices, Inverses and Systems
Using Matrices
Sequences and Series; Arithmetic and Geometric Sequences and Series
Infinite Geometric Series
Mathematical Induction
Counting Problems, Permutations, Special Counts, and Combinations
The Binomial Theorem
Probability and Compound Probability
Simulating Events and Advanced Simulations
Statistics; Organizing Data
Using Measures of Central Tendency; Mean, Median and Mode
Measures of Variation
The Normal Distribution
Collection Data; Randomness and Bias
Testing Hypotheses
Trigonometric Functions in Triangles
Radians, Cofunctions, and Problem Solving
Finding Function Values; Tables and Calculators
Graphs of Trigonometric Functions
Trigonometric Function Relationships
Algebraic Manipulations
Sum and Difference Identities
Double-Angle and Half-Angle Identities
Proving Identities
Inverses of Trigonometric Functions
Trigonometric Equations
Right Triangles and Problem Solving
The Law of Sines and the Law of Cosines
Trigonometric Notation for Complex Numbers
Brown, Dolciani, Sorgenfrey, Kane
Houghton Mifflin
NutshellMath covers the following topics in this book:
Operations with Real Numbers; Multiplication and Division of Real Numbers
Algebraic Expressions and Properties of Numbers
The Distributive Property
Working with Equations; Solving Equations, Writing Equations
Working with Exponents; Exponential Notation, Properties of Exponents, Scientific Notation
Field Axioms, Theorems, and Proofs
Solving and Using Equations and Formulas
Working with Inequalities; Solving Inequalities, Using Inequalities, Compound Inequalities
Absolute Value
Proofs in Solving Equatio
Relations, Ordered Pairs, and Functions
Graphs and Graphs of Linear Equations
Slope
Parallel and Perpendicular Lines
Using Linear Functions
Working with Systems of Equations; Systems of Equations in Two or Three Variables, Solving Systems of Equations, Using a System of Two or Three Equations
Consistent and Dependent Systems
Systems of Inequalities
Using Linear Programming
Polynomials and Functions
Operations with Polynomials; Adding, Subtracting, Multiplying and Factoring Polynomials
Factoring Polynomials; General Strategies, Solving Equations by Factoring
Using Equations
Operations with Rational Expressions; Multiplying, Simplifying, Addition and Subtraction
Complex Rational Expressions
Division of Polynomials and Synthetic Division
Solving Rational Equations and Using Rational Expressions
Formulas
Variation and Problem Solving
Operations with Radical Expressions; Multiplying and Simplifying, More Operations with Radical Expressions
Rational Numbers as Exponents
Solving Radical Equations
Imaginary and Complex Numbers, and Graphing
Solutions of Equations
Introduction to Quadratic Equations; Using Quadratic Equations
Solving Quadratic Equations; The Quadratic Formula, Solutions of Quadratic Equations, Equations Reducible to Quadratic Form
Formulas and Problem Solving
Quadratic Variations and Applications
Symmetry, Transformations, Stretching and Shrinking
Graphs of Quadratic Functions, Graphs and x-Intercepts
Graphs of f(x)=a(x-h)^2+k
Standard Form for Quadratic Functions
Coordinate Geometry
Conic Sections; Circles, Ellipses, Hyperbolas and Parabolas
Second-Degree Equations and Systems; Using Systems of Second-Degree Equations
Solving Quadratic Systems Algebraicallys
Polynomials and Polynomial Functions
The Remainder and Factor Theorems
Theorems about Roots
Rational Roots
Descartes’ Rule of Signs
Graphs of Polynomial Functions
Inverse Relations and Functions
Exponential and Logarithmic Functions and Relations
Working with Logarithmic Functions; Properties of Logarithmic Functions, Logarithmic Function Values
Interpolation
Exponential and Logarithmic Equations
Natural Logarithms and the Number
Matrices and Systems of Equations
Operations with Matrices; Addition, Subtraction and Multiplication of Matrices
Determinants and Cramer’s Rule
Using Inverses; Inverse of Matrices, Inverses and Systems
Using Matrices
Sequences and Series; Arithmetic and Geometric Sequences and Series
Infinite Geometric Series
Mathematical Induction
Counting Problems, Permutations, Special Counts, and Combinations
The Binomial Theorem
Probability and Compound Probability
Simulating Events and Advanced Simulations
Statistics; Organizing Data
Using Measures of Central Tendency; Mean, Median and Mode
Measures of Variation
The Normal Distribution
Collection Data; Randomness and Bias
Testing Hypotheses
Trigonometric Functions in Triangles
Radians, Cofunctions, and Problem Solving
Finding Function Values; Tables and Calculators
Graphs of Trigonometric Functions
Trigonometric Function Relationships
Algebraic Manipulations
Sum and Difference Identities
Double-Angle and Half-Angle Identities
Proving Identities
Inverses of Trigonometric Functions
Trigonometric Equations
Right Triangles and Problem Solving
The Law of Sines and the Law of Cosines
Trigonometric Notation for Complex Numbers