On Core Mathematics: Algebra 2 (Houghton Mifflin Harcourt on Core Mathematics) (CSM)

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On Core Mathematics: Algebra 2 (Houghton Mifflin Harcourt on Core Mathematics) (CSM)

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  • 製本 Paperback:紙装版/ペーパーバック版/ページ数 426 p.
  • 言語 ENG,ENG
  • 商品コード 9780547575292
  • DDC分類 510

Table of Contents

Learning the Common Core State Standards           viii
Learning the Standards for Mathematical Practice x
Unit 1 Real and Complex Numbers
Unit Overview 1 (4)
1-1 Real Numbers 5 (4)
1-2 Radicals and Rational Exponents 9 (4)
1-3 Adding, Subtracting; and Multiplying 13 (4)
Complex Numbers
1-4 Conjugates of Complex Numbers 17 (4)
1-5 Complex Solutions of Quadratic 21 (6)
Functions
Test Prep 25 (2)
Unit 2 Quadratic Functions
Unit Overview 27 (4)
2-1 Translating the Graph of f(x) = x2 31 (6)
2-2 Stretching, Shrinking, and Reflecting 37 (4)
the Graph of f(x) = x2
2-3 Graphing Quadratic Functions in 41 (6)
Vertex Form
2-4 Writing Quadratic Functions in Vertex 47 (6)
Form
2-5 Writing Quadratic Functions in 53 (6)
Intercept Form
2-6 Modeling with Quadratic Functions 59 (8)
Test Prep 65 (2)
Unit 3 Polynomial Functions
Unit Overview 67 (4)
3-1 Investigating the Graph of f(x) = xn 71 (4)
3-2 Translating the Graph of f(x) = xn 75 (6)
3-3 Stretching, Shrinking, and Reflecting 81 (4)
the Graph of f(x) = xn
3-4 Polynomial Functions 85 (4)
3-5 Adding and Subtracting Polynomials 89 (4)
3-6 Multiplying Polynomials 93 (4)
3-7 The Binomial Theorem 97 (6)
3-8 Polynomial Division and the Remainder 103 (6)
and Factor Theorems
3-9 Graphing Factorable Polynomial 109 (6)
Functions
3-10 Finding Zeros of Polynomial Functions 115 (6)
3-11 Modeling with Polynomial Functions 121 (6)
Test Prep 125 (2)
Unit 4 Rational Functions
Unit Overview 127 (4)
4-1 Graphing f(x) = a/x 131 (6)
4-2 Translating the Graph of f(x) =a/x 137 (6)
4-3 Graphing Simple Rational Functions 143 (6)
4-4 Adding and Subtracting Rational 149 (4)
Expressions
4-5 Multiplying and Dividing Rational 153 (4)
Expressions
4-6 Solving Rational Equations 157 (4)
4-7 Modeling with Rational Functions 161 (6)
Test Prep 165 (2)
Unit 5 Radical Functions
Unit Overview 167 (4)
5-1 Inverses of Functions 171 (6)
5-2 Inverses of Quadratic Functions 177 (6)
5-3 Inverses of Cubic Functions 183 (6)
5-4 Graphing Square Root and Cube Root 189 (6)
Functions
5-5 Modeling with Square Root Functions 195 (6)
5-6 Modeling with Cube Root Functions 201 (6)
5-7 Solving Radical Equations 207 (8)
Test Prep 213 (2)
Unit 6 Exponential Functions
Unit Overview 215 (4)
6-1 Graphing Basic Exponential Functions 219 (6)
6-2 Graphing f(x) = abx-h + k when b > 225 (6)
1
6-3 Graphing f(x) = abx-h + k when 0 < 231 (6)
b < 1
6-4 Changing the Base of an Exponential 237 (6)
Function
6-5 The Base e 243 (4)
6-6 Modeling with Exponential Functions 247 (4)
6-7 Solving Exponential Equations 251 (6)
Test Prep 255 (2)
Unit 7 Logarithmic Functions
Unit Overview 257 (4)
7-1 Logarithmic Functions as Inverses of 261 (6)
Exponential Functions
7-2 Transforming the Graph of f(x) = logb 267 (6)
x
7-3 Properties of Logarithms 273 (4)
7-4 Solving Exponential and Logarithmic 277 (6)
Equations
7-5 Modeling with Logarithmic Functions 283 (6)
Test Prep 287 (2)
Unit 8 Trigonometric Functions
Unit Overview 289 (4)
8-1 Understanding Radian Measure 293 (4)
8-2 Angles of Rotation and Radian Measure 297 (4)
8-3 The Sine, Cosine, and Tangent 301 (6)
Functions
8-4 Evaluating the Trigonometric Functions 307 (4)
8-5 Graphing the Sine and Cosine Functions 311 (4)
8-6 Graphing the Tangent Function 315 (4)
8-7 Stretching, Shrinking, and Reflecting 319 (6)
Trigonometric Graphs
8-8 Translating Trigonometric Graphs 325 (6)
8-9 Modeling with Trigonometric Functions 331 (8)
Test Prep 337 (2)
Unit 9 Sequences and Series
Unit Overview 339 (2)
9-1 Sequences 341 (6)
9-2 Arithmetic Sequences 347 (6)
9-3 Geometric Sequences 353 (6)
9-4 Finite Geometric Series 359 (6)
9-5 Modeling with Finite Geometric 365 (8)
Sequences
Test Prep 371 (2)
Unit 10 Statistics
Unit Overview 373 (2)
10-1 Data-Gathering Techniques 375 (6)
10-2 Data Distributions 381 (6)
10-3 Probability Distributions 387 (6)
10-4 Normal Distributions 393 (6)
10-5 Sampling Distributions 399 (6)
10-6 Confidence Intervals and Margins of 405 (8)
Error
10-7 Surveys, Experiments, and 413 (6)
Observational Studies
10-8 Determining the Significance of 419
Experimental Results
Test Prep 425
Correlation of On Core Mathematics to the 1
Common Core State standards