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Algebra and Trigonometry Structure & Method Book 2 | |||
Brown, Dolciani, Sorgenfrey, & Kane | |||
McDougal Littell | |||
Section Number | Topic | Page |
ESLR's |
Ch.1 Basic Concepts of Algebra | CC, CT, C, L, T | ||
1-1 | Real Numbers and Their Graphs | 1 | CC, CT, C, L, T |
1-2 | Simplifying Expressions | 6 | CC, CT, C, L, T |
1-3 | Basic Properties of Real Numbers | 14 | CC, CT, C, L, T |
1-4 | Sum and Differences | 21 | CC, CT, C, L, T |
1-5 | Products and Factors of Polynomials | 27 | CC, CT, C, L, T |
1-6 | Quotients | 33 | CC, CT, C, L, T |
1-7 | Solving Equations in One Variable | 37 | CC, CT, C, L, T |
1-8 | Words into Symbols | 43 | CC, CT, C, L, T |
1-9 | Problem Solving with Equations | 49 | CC, CT, C, L, T |
Ch. 2 Inequalities and Proof | CC, CT, C, L, T | ||
2-1 | Solving Inequalities in One Variable | 59 | CC, CT, C, L, T |
2-2 | Solving Combined Inequalities | 65 | CC, CT, C, L, T |
2-3 | Problem Solving Using Inequalities | 69 | CC, CT, C, L, T |
2-4 | Absolute Value in Open Sentences | 73 | CC, CT, C, L, T |
2-5 | Solving Absolute Value Sentences Graphically | 76 | CC, CT, C, L, T |
2-6 | Theorems and Proofs | 81 | CC, CT, C, L, T |
2-7 | Theorems about Order and Absolute Value | 88 | CC, CT, C, L, T |
Ch. 3 Linear Equations and Functions | CC, CT, C, L, T | ||
3-1 | Open Sentences in Two Variables | 101 | CC, CT, C, L, T |
3-2 | Graphs of Linear Equations in Two Variables | 107 | CC, CT, C, L, T |
3-3 | The Slope of a Line | 112 | CC, CT, C, L, T |
3-4 | Finding an Equation of a Line | 118 | CC, CT, C, L, T |
3-5 | Systems of Linear Equations in Two Variables | 124 | CC, CT, C, L, T |
3-6 | Problem Solving: Using Systems | 131 | CC, CT, C, L, T |
3-7 | Linear Inequalities in Two Variables | 135 | CC, CT, C, L, T |
3-8 | Functions | 141 | CC, CT, C, L, T |
3-9 | Linear Functions | 146 | CC, CT, C, L, T |
3-10 | Relations | 153 | CC, CT, C, L, T |
Ch. 4 Products and Factors of Polynomials | CC, CT, C, L, T | ||
4-1 | Polynomials | 167 | CC, CT, C, L, T |
4-2 | Using Laws of Exponents | 171 | CC, CT, C, L, T |
4-3 | Multiplying Polynomials | 174 | CC, CT, C, L, T |
4-4 | Using Prime Factorization | 179 | CC, CT, C, L, T |
4-5 | Factoring Polynomials | 183 | CC, CT, C, L, T |
4-6 | Factoring Quadratic Polynomials | 188 | CC, CT, C, L, T |
4-7 | Solving Polynomial Equations | 194 | CC, CT, C, L, T |
4-8 | Problem Solving Using Polynomial Equations | 198 | CC, CT, C, L, T |
4-9 | Solving Polynomial Inequalities | 202 | CC, CT, C, L, T |
Ch. 5 Rational Expressions | CC, CT, C, L, T | ||
5-1 | Quotients of Monomials | 211 | CC, CT, C, L, T |
5-2 | Zero and Negative Exponents | 216 | CC, CT, C, L, T |
5-3 | Scientific Notation and Significant Digits | 221 | CC, CT, C, L, T |
5-4 | Rational Algebraic Expressions | 227 | CC, CT, C, L, T |
5-5 | Products and Quotients of Rational Expressions | 232 | CC, CT, C, L, T |
5-6 | Sums and Differences of Rational Expressions | 235 | CC, CT, C, L, T |
5-7 | Complex Fractions | 238 | CC, CT, C, L, T |
5-8 | Fractional Coefficients | 242 | CC, CT, C, L, T |
5-9 | Fractional Equations | 247 | CC, CT, C, L, T |
Ch. 6 Irrational and Complex Numbers | CC, CT, C, L, T | ||
6-1 | Roots and Real Numbers | 259 | CC, CT, C, L, T |
6-2 | Properties of Radicals | 264 | CC, CT, C, L, T |
6-3 | Sums of Radicals | 270 | CC, CT, C, L, T |
6-4 | Binomials Containing Radicals | 274 | CC, CT, C, L, T |
6-5 | Equations Containing Radicals | 277 | CC, CT, C, L, T |
6-6 | Rational and Irrational Numbers | 283 | CC, CT, C, L, T |
6-7 | The Imaginary Number i | 288 | CC, CT, C, L, T |
6-8 | The Complex Numbers | 292 | CC, CT, C, L, T |
Ch. 7 Quadratic Equations and Functions | CC, CT, C, L, T | ||
7-1 | Completing the Square | 307 | CC, CT, C, L, T |
7-2 | The Quadratic Formula | 311 | CC, CT, C, L, T |
7-3 | The Discriminant | 317 | CC, CT, C, L, T |
7-4 | Equations in Quadratic | 322 | CC, CT, C, L, T |
7-5 | Graphing y-k=a(x-h)² | 326 | CC, CT, C, L, T |
7-6 | Quadratic Functions | 333 | CC, CT, C, L, T |
7-7 | Writing Quadratic Equations and Functions | 338 | CC, CT, C, L, T |
Ch. 8 Variation and Polynomial Equations | CC, CT, C, L, T | ||
8-1 | Direct Variation and Proportion | 351 | CC, CT, C, L, T |
8-2 | Inverse and Joint Variation | 358 | CC, CT, C, L, T |
8-3 | Dividing Polynomials | 364 | CC, CT, C, L, T |
8-4 | Synthetic Division | 368 | CC, CT, C, L, T |
8-5 | The Remainder and the Factor Theorems | 372 | CC, CT, C, L, T |
8-6 | Some Useful Theorems | 377 | CC, CT, C, L, T |
8-7 | Finding Rational Roots | 382 | CC, CT, C, L, T |
8-8 | Approximating | 386 | CC, CT, C, L, T |
8-9 | Linear Interpolation | 391 | CC, CT, C, L, T |
Ch. 9 Analytic Geometry | CC, CT, C, L, T | ||
9-1 | Distance and Midpoint Formulas | 401 | CC, CT, C, L, T |
9-2 | Circles | 407 | CC, CT, C, L, T |
9-3 | Parabolas | 412 | CC, CT, C, L, T |
9-4 | Ellipses | 418 | CC, CT, C, L, T |
9-5 | Hyperbolas | 426 | CC, CT, C, L, T |
9-6 | More on Central Conics | 432 | CC, CT, C, L, T |
9-7 | The Geometry of Quadratic Systems | 436 | CC, CT, C, L, T |
9-8 | Solving Quadratic Systems | 439 | CC, CT, C, L, T |
9-9 | Systems of Linear Equations in Three Variables | 444 | CC, CT, C, L, T |
Ch. 10 Exponential and Logarithmic Functions | CC, CT, C, L, T | ||
10-1 | Real Exponents | 445 | CC, CT, C, L, T |
10-2 | Real Number Exponents | 459 | CC, CT, C, L, T |
10-3 | Composition and Inverse of Functions | 463 | CC, CT, C, L, T |
10-4 | Definition of Logarithms | 468 | CC, CT, C, L, T |
10-5 | Laws of Logarithms | 473 | CC, CT, C, L, T |
10-6 | Applications of Logarithms | 478 | CC, CT, C, L, T |
10-7 | Problem Solving: Exponential Growth and Decay | 483 | CC, CT, C, L, T |
10-8 | The Natural Logarithm Function | 487 | CC, CT, C, L, T |
Ch. 11 Sequences and Series | CC, CT, C, L, T | ||
11-1 | Types of Sequences | 501 | CC, CT, C, L, T |
11-2 | Arithmetic Sequences | 507 | CC, CT, C, L, T |
11-3 | Geometric Sequences | 510 | CC, CT, C, L, T |
11-4 | Series and Sigma Notation | 518 | CC, CT, C, L, T |
11-5 | Sums of Arithmetic Geometric Series | 525 | CC, CT, C, L, T |
11-6 | Infinite Geometric Series | 531 | CC, CT, C, L, T |
11-7 | Powers of Binomials | 537 | CC, CT, C, L, T |
11-8 | The General Binomial Expansion | 540 | CC, CT, C, L, T |
Ch. 12 Triangle Trigonometry | CC, CT, C, L, T | ||
12-1 | Angles and Degree Measure | 549 | CC, CT, C, L, T |
12-2 | Trigonometric Functions of Acute Angles | 555 | CC, CT, C, L, T |
12-3 | Trigonometric Functions of General Angles | 561 | CC, CT, C, L, T |
12-4 | Values of Trigonometric Functions | 568 | CC, CT, C, L, T |
12-5 | Solving Right Triangles | 574 | CC, CT, C, L, T |
12-6 | The Law of Cosines | 580 | CC, CT, C, L, T |
12-7 | The Law of Sines | 586 | CC, CT, C, L, T |
12-8 | Solving General Triangles | 591 | CC, CT, C, L, T |
12-9 | Areas of Triangles | 597 | CC, CT, C, L, T |
Ch. 13 Trigonometric Graphs; Identities | CC, CT, C, L, T | ||
13-1 | Radian Measure | 607 | CC, CT, C, L, T |
13-2 | Circular Functions | 613 | CC, CT, C, L, T |
13-3 | Periodicity and Symmetry | 619 | CC, CT, C, L, T |
13-4 | Graphs of Sine and Cosine | 624 | CC, CT, C, L, T |
13-5 | Graphs of the Other Functions | 630 | CC, CT, C, L, T |
13-6 | The Fundamental Identities | 636 | CC, CT, C, L, T |
13-7 | Trigonometric Addition Formulas | 641 | CC, CT, C, L, T |
13-8 | Double-Angle and Half-Angle Formulas | 646 | CC, CT, C, L, T |
13-9 | Formulas for the Tangent | 650 | CC, CT, C, L, T |
Ch. 14 Trigonometric Applications | CC, CT, C, L, T | ||
14-1 | Vector Operations | 659 | CC, CT, C, L, T |
14-2 | Vectors in the Plane | 666 | CC, CT, C, L, T |
14-3 | Polar Coordinates | 675 | CC, CT, C, L, T |
14-4 | The Geometry of Complex Numbers | 680 | CC, CT, C, L, T |
14-5 | De Moivre's Theorem | 685 | CC, CT, C, L, T |
14-6 | The Inverse Cosine and Inverse Sine | 689 | CC, CT, C, L, T |
14-7 | Other Inverse Functions | 693 | CC, CT, C, L, T |
14-8 | Trigonometric Equations | 697 | CC, CT, C, L, T |
Ch. 15 Statistics and Probability | CC, CT, C, L, T | ||
15-1 | Presenting Statistical Data | 709 | CC, CT, C, L, T |
15-2 | Analyzing Statistical Data | 713 | CC, CT, C, L, T |
15-3 | The Normal Distribution | 719 | CC, CT, C, L, T |
15-4 | Correlation | 724 | CC, CT, C, L, T |
15-5 | Fundamental Counting Principles | 730 | CC, CT, C, L, T |
15-6 | Permutations | 734 | CC, CT, C, L, T |
15-7 | Combinations | 738 | CC, CT, C, L, T |
15-8 | Sample Spaces and Events | 743 | CC, CT, C, L, T |
15-9 | Probability | 745 | CC, CT, C, L, T |
15-10 | Mutually Exclusive and Independent Events | 754 | CC, CT, C, L, T |
Ch. 16 Matrices and Determinants | CC, CT, C, L, T | ||
16-1 | Definition of Terms | 767 | CC, CT, C, L, T |
16-2 | Addition and Scalar Multiplication | 770 | CC, CT, C, L, T |
16-3 | Matrix Multiplication | 774 | CC, CT, C, L, T |
16-4 | Applications of Matrices | 779 | CC, CT, C, L, T |
16-5 | Determinants | 787 | CC, CT, C, L, T |
16-6 | Inverses of Matrices | 790 | CC, CT, C, L, T |
16-7 | Expansion of Determinants by Minors | 794 | CC, CT, C, L, T |
16-8 | Properties of Determinants | 798 | CC, CT, C, L, T |
16-9 | Cramer's Rule | 801 | CC, CT, C, L, T |
* CC = Character and Citizenship | |||
Acceptable ethical and behavioral standards while doing homework and taking tests. | |||
Accountability for personal actions in the homework assignments and tests. | |||
Honesty and Trustworthiness while working on homework and tests. | |||
Students follow State Ed. Code, LCHS honor code, & classroom rules. | |||
CT = Critical Thinking | |||
Problem solving skills while doing homework and word problems | |||
Decision making skills while writing problem solving | |||
Logic and reasoning skills required for problem solving | |||
Creativity and formulating ideas required for problem solving | |||
C = Communication | |||
Written communication on home work and tests. | |||
Written communication for solving Extra Credit Problems | |||
L = Life Long Learner | |||
Developing a sense student's gifts and talents as related to problem solving in mathematics. | |||
T = Technology | |||
Students will be able to access information on the web (Lecture Notes and Homework posted on web page) | |||
Students will be able to apply technology to real world problem solving situations (and extra credit problems). | |||
Students will Word Process some extra credit problems. | |||
Some Students may write a computer program or spreadsheet to solve problems. | |||
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