Alg 2 ESLRs

 

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Algebra 2 ESLR's and Topic Outline

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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