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Algebra 2 Lecture Notes

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Algebra and Trigonometry 

Structure & Method Book 2

   

Brown, Dolciani, Sorgenfrey, & Kane

   

McDougal Littell

   
    Click on a link to view the lecture notes  in a graphics (.jpg) format

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Section Number Page Topic          
               
               
    Ch.1 Basic Concepts of Algebra          
1-1 1 Real Numbers and Their Graphs 1-1 1-1 1-1    
1-2 6 Simplifying Expressions
(Order of Operations)
1-2 1-2
(Order of Operations)
1-2    
1-3 14 Basic Properties of Real Numbers 1-3.doc 1-3.pdf 1-3.psd  

1-3.swf

1-3
1-4 21 Sum and Differences 1-4 1-4 1-4    
1-5 27 Products and Factors of Polynomials 1-5 1-5 1-5    
1-6 33 Quotients 1-6 1-6 1-6    
1-7 37 Solving Equations in One Variable 1-7 1-7 1-7    
1-8 43 Words into Symbols 1-8.doc 1-8.pdf 1-8.psd 1-8.swf 1-8
1-9 49 How To Solve Word Problems

 

Problem Solving with Equations

How To Solve Word Problems

 

1-9.doc

How To Solve Word Problems

 

1-9.pdf

How To Solve Word Problems

 

1-9.psd

How To Solve Word Problems

 

1-9.swf

1-9
    Ch. 2 Inequalities and Proof          
2-1 59 Solving Inequalities in One Variable

Use Interval Notation

2-1.doc 2-1.pdf 2-1.psd 2-1.swf 2-1
2-2 65 Solving Combined Inequalities

Use Interval Notation

2-2.doc 2-2.pdf 2-2.psd 2-2.swf 2-2
2-3 69 Problem Solving Using Inequalities 2-3 2-3 2-3   2-3
2-4 73 Absolute Value in Open Sentences 2-4.doc 2-4.pdf 2-4.psd 2-4.swf 2-4
2-5 76 Solving Absolute Value Sentences Graphically 2-5 2-5 2-5   2-5
2-6 81 Theorems and Proofs 2-6 2-6 2-6   2-6
2-7 88 Theorems about Order and Absolute Value 2-7 2-7 2-7   2-7
    Ch. 3 Linear Equations and Functions          
3-1 101 Open Sentences in Two Variables 3-1 3-1 3-1   3-1
3-2 107 Graphs of Linear Equations in Two Variables 3-2.doc 3-2.pdf 3-2.psd 3-2.swf 3-2
3-3 112 The Slope of a Line 3-3.doc 3-3.pdf 3-3.psd 3-3.swf 3-3
3-4 118 Finding an Equation of a Line 3-4.doc 3-4.pdf 3-4.psd 3-4.swf 3-4
3-5 124 Systems of Linear Equations in Two Variables 3-5.doc 3-5.pdf 3-5.psd 3-5.swf 3-5
3-6 131 Problem Solving: Using Systems 3-6.doc 3-6.pdf 3-6.psd 3-6.swf 3-6
3-7 135 Linear Inequalities in Two Variables 3-7.doc 3-7.pdf 3-7.psd 3-7.swf 3-7
3-8 141 Functions 3-8.doc 3-8.pdf 3-8.psd 3-8.swf 3-8
3-9 146 Linear Functions 3-9 3-9 3-9   3-9
3-10 153 Relations 3-10.doc 3-10.pdf 3-10.psd 3-10.swf 3-10
3-11 159 Linear Programming          
    Ch. 4 Products and Factors of Polynomials          
4-1 167 Polynomials 4-1.doc 4-1.pdf 4-1.psd 4-1.swf 4-1
4-2 171 Using Laws of Exponents 4-2.doc 4-2.pdf 4-2.psd 4-2.swf 4-2
4-3 174 Multiplying Polynomials 4-3.doc 4-3.pdf 4-3.psd 4-3.swf 4-3
4-4 179 Using Prime Factorization (pdf)

LCM

 

Factoring Lecture (pdf)

LCM.doc

Factoring Lecture (PowerPoint)

LCM.pdf

LCM.psd 4-4LCM.swf

GCF

 

4-4 (LCM)

FactorP1 (GCF)

4-5 183 Factoring Polynomials (ppt)

 

Factoring Lecture (ppt)

 

Factoring Lecture (pdf)

 

  GCF

Perfect Square Trinomials

Sum and Difference of Perfect Cubes

 

FactorP1

FactorP2

FactorP3

 

4-6 188 Factoring Quadratic Polynomials (ppt)

 

Factoring Lecture (ppt)

 

Factoring Lecture (pdf)

 

   

FOIL Backwards

Trial & Error

Factoring by Grouping

FactorP4

FactorP5

4-7 194 Solving Polynomial Equations

PowerPoint Notes

4-7.doc 4-7.pdf 4-7.psd 4-7.swf 4-7
4-8 198 Problem Solving Using Polynomial Equations 4-8. 4-8 4-8 4-8.swf 4-8
4-9 202 Solving Polynomial Inequalities 4-9 4-9 4-9 4-9.swf 4-9
    Ch. 5 Rational Expressions          
5-1 211 Quotients of Monomials 5-1.doc 5-1.pdf 5-1.psd 5-1.swf 5-1
5-2 216 Zero and Negative Exponents 5-2.doc 5-2.pdf 5-2.psd 5-2.swf 5-2
5-3 221 Scientific Notation and Significant Digits 5-3.doc 5-3.pdf 5-3.psd 5-3.swf 5-3
5-4 227 Updated
Part 2
Rational Algebraic Expressions
Updated
Part 1
PowerPoint Web Page

 

Part 2
5-4.doc

Updated
Part 1
PowerPoint ppt file

 

Part 2
5-4.pdf

Updated
Part 2
5-4.psd
5-4.swf 5-4
5-5 232 Products and Quotients of Rational Expressions 5-5.doc 5-5.pdf 5-5.psd 5-5.swf 5-5
5-6 235 Sums and Differences of Rational Expressions 5-6.doc 5-6.pdf 5-6.psd 5-6.swf 5-6
5-7 238 Complex Fractions 5-7.doc 5-7.pdf 5-7.psd 5-7.swf 5-7
5-8 242 Fractional Coefficients 5-8.doc 5-8.pdf 5-8.psd 5-8.swf 5-8
5-9 247 Fractional Equations 5-9.doc 5-9.pdf 5-9.psd 5-9.swf 5-9
    Ch. 6 Irrational and Complex Numbers          
6-1 259 Roots and Real Numbers 6-1.doc 6-1.pdf 6-1.psd 6-1.swf 6-1
6-2 264 Properties of Radicals 6-2.doc 6-2.pdf 6-2.psd 6-2.swf 6-2
6-3 270 Sums of Radicals 6-3.doc 6-3.pdf 6-3.psd 6-3.swf 6-3
6-4 274 Binomials Containing Radicals 6-4.doc 6-4.pdf 6-4.psd 6-4.swf 6-4
6-5 277 Equations Containing Radicals 6-5.doc 6-5.pdf 6-5.psd 6-5.swf 6-5
6-6 283 Rational and Irrational Numbers 6-6.doc 6-6.pdf 6-6.psd 6-6.swf 6-6
6-7 288 The Imaginary Number i 6-7.doc 6-7.pdf 6-7.psd 6-7.swf 6-7
6-8 292 The Complex Numbers 6-8.doc 6-8.pdf 6-8.psd 6-8.swf 6-8
    Ch. 7 Quadratic Equations and Functions

Per 4 Notes 12-17-02

         
7-1 307 Completing the Square 7-1.doc 7-1.pdf 7-1.psd 7-1.swf 7-1
7-2 311 The Quadratic Formula 7-2.doc 7-2.pdf 7-2.psd 7-2.swf

QuadraticFormula.gif

7-2
7-3 317 The Discriminant 7-3.doc 7-3.pdf 7-3.psd 7-3.swf 7-3
7-4 322 Equations in Quadratic Form 7-4.doc 7-4.pdf 7-4.psd 7-4.swf 7-4
7-5 326 Graphing y-k=a(x-h)

 

Parabola Animations

Parabola Formulas

7-5.doc 7-5.pdf 7-5.psd 7-5.swf

Parabola Animated gifs

7-5
7-6 333 Quadratic Functions 7-6.doc 7-6.pdf 7-6.psd 7-6.swf 7-6
7-7 338 Writing Quadratic Equations and Functions 7-7.doc 7-7.pdf 7-7.psd 7-7.swf 7-7
    Ch. 8 Variation and Polynomial Equations          
8-1 351 Direct Variation and Proportion 8-1.doc 8-1.pdf 8-1.psd 8-1.swf 8-1
8-2 358 Inverse and Joint Variation 8-2.doc 8-2.pdf 8-2.psd 8-2.swf 8-2
8-3 364 Dividing Polynomials 8-3.doc 8-3.pdf 8-3.psd 8-3.swf 8-3
8-3 Part2
New
  Dividing Polynomials Part2 8-3P2.doc 8-3P2.pdf 8-3P2.psd 8.3Part2.swf 8-3 Part 2
8-4 368 Synthetic Division

Watch a problem being divided using synthetic division

8-4.doc 8-4.pdf 8-4.psd 8-4.swf

Synthetic Division.gif

8-4
8-5 372 The Remainder and the Factor Theorems 8-5.doc 8-5.pdf 8-5.psd 8-5.swf 8-5
8-6 377 Some Useful Theorems For Solving Polynomial Equations
The Fundamental Theorem of Algebra
Descartes' Rule Of Signs
8-6.doc 8-6.pdf 8-6.psd 8-6.swf 8-6
8-7 382 Finding Rational Roots

8-7P1.jpg  8-7P2.jpg  8-7P3.jpg  8-7P4.jpg  8-7P5.jpg  8-7P6.jpg  

8-7.doc 8-7.pdf 8-7.psd 8-7.swf 8-7
8-8 386 Approximating 8-8 8-8 8-8    
8-9 391 Linear Interpolation 8-9 8-9 8-9    
    Chapter 8 Formulas.jpg Ch8.doc Ch8.pdf Chapter 8 Formulas    
    Ch. 9 Analytic Geometry          
9-1 401 Distance and Midpoint Formulas 9-1.doc 9-1.pdf 9-1.psd 9-1.swf 9-1
9-2 407 Circles Standard & General Form 9-2.doc 9-2.pdf 9-2.psd 9-2.swf 9-2
9-3 P1

9-3 P2

412 Parabolas Standard Form

Parabolas General Form

9-3 P1.doc

9-3 P2.doc

9-3 P1.pdf

9-3 P2.pdf

9-3 P1.psd

9-3 P2.psd

Parabola Formulas Explained

9-3P1.swf

9-3P2.swf

9-3P1

9-3P2

Parabola Formulas Explained

9-4 P1

9-4 P2

418 Ellipses Standard Form

Ellipses General Form

9-4 P1.doc

9-4 P2.doc

9-4 P1.pdf

9-4 P2.pdf

9-4 P1.psd

9-4 P2.psd

Ellipse Formulas Explained

9-4P1.swf

9-4P2.swf

9-4P1

9-4P2

Ellipse Formulas Explained

Updated

9-5 P1

9-5 P2

Rectangular

426 Hyperbolas Standard Form

Hyperbolas General Form

9-5 P1.doc

9-5 P2.doc

9-5 P1.pdf

9-5 P2.pdf

9-5 P1.psd

9-5 P2.psd

Hyperbola Formulas Explained

9-5P1.swf

9-5P2.swf

Hyperbola Formulas Explained

9-5P3.swf

9-5P1

9-5P2

9-5P3

Hyperbola Formulas Explained

Rectangular Hyperbola Formulas Explained

9-6 432 More on Central Conics 9-6 9-6 9-6    
9-7 436 The Geometry of Quadratic Systems 9-7 9-7 9-7    
9-8 439 Solving Quadratic Systems 9-8 9-8 9-8    
9-9 444 Systems of Linear Equations in Three Variables 9-9.doc 9-9.pdf 9-9.psd 9-9.swf 9-9
Updated   Chapter 9 Formulas.jpg Ch 9.doc Ch 9.pdf Conics Formula Summary    
    Ch. 10 Exponential and Logarithmic Functions          
10-1 445 Real Exponents 10-1.doc 10-1.pdf 10-1.psd 10-1.swf 10-1
10-2 459 Real Number Exponents 10-2.doc 10-2.pdf 10-2.psd 10-2.swf 10-2
10-3 463 Composition and Inverse of Functions 10-3.doc 10-3.pdf 10-3.psd 10-3.swf 10-3
10-4 468 Definition of Logarithms 10-4.doc 10-4.pdf 10-4.psd 10-4.swf 10-4
10-5 473 Laws (Properties) of Logarithms 10-5.doc 10-5.pdf 10-5.psd 10-5.swf 10-5
Updated
10-5
Day2
473 Laws (Properties) of Logarithms Day 2 10-5D2,doc 10-5D2.pdf 10-5D2.psd 10-5Day2.swf 10-5Day2
10-6 478 Applications of Logarithms (Using Calculators) 10-6.doc 10-6.pdf 10-6.psd 10-6.swf 10-6
10-8 487 The Natural Logarithm Function 10-8.doc 10-8.pdf 10-8.psd 10-8.swf 10-8
10-7 483 Problem Solving: Exponential Growth and Decay 10-7.doc 10-7.pdf 10-7.psd 10-7.swf 10-7
10-7 483 Growth and Decay Book Formulas 10-7.doc 10-7.pdf 10-7.psd 10-7 Book Formulas.swf 10-7 Book Formulas
Updated   Chapter 10 Formulas.jpg Ch10.doc Ch10.pdf Chapter 10 Formulas    
    Notes From Class: Review For Ch 10 Test Other Decay Notes        
    Ch. 11 Sequences and Series          
11-1 501 Types of Sequences 11-1.doc 11-1.pdf 11-1.psd 11-1.swf 11-1
11-2 507 Arithmetic Sequences 11-2.doc 11-2.pdf 11-2.psd 11-2.swf 11-2
11-3 510 Geometric Sequences 11-3.doc 11-3.pdf 11-3.psd 11-3.swf

11-3Pt2.swf

11-3

11-3Part2

11-4 518 Series and Sigma Notation 11-4.doc 11-4.pdf 11-4.psd 11-4.swf 11-4
11-5 525 Sums of Arithmetic Geometric Series 11-5.doc 11-5.pdf 11-5.psd 11-5.swf 11-5
11-6 531 Infinite Geometric Series 11-6.doc 11-6.pdf 11-6.psd 11-6.swf 11-6
11-7 537 Powers of Binomials 11-7.doc 11-7.pdf 11-7.psd 11-7.swf 11-7
11-8 540 The General Binomial Expansion 11-8.doc 11-8.pdf 11-8.psd 11-8.swf 11-8
    Chapter 11 Formulas.jpg Ch11.doc Ch11.pdf Ch. 11 Formulas    
    Chapter 11 Formula Table.jpg Chapter 11 Formula Table.doc Chapter 11 Formula Table.pdf Chapter 11 Formula Table.html    
    Chapter 11 Class Review Notes      
    Ch. 15 Statistics and Probability          
15-1 709 Presenting Statistical Data (Mean, Median, Mode) 15-1.doc 15-1.pdf 15-1.psd 15-1.swf 15-1
15-2P1

15-2P2

713 Analyzing Statistical Part 1

Analyzing Statistical Part 2

Example 4 Microsoft Excel File (.xls)

Example 5 Microsoft Excel File (.xls)

15-2P1.doc

15-2P2.doc

15-2P1.pdf

15-2P2.pdf

15-2P1.psd

15-2P2.psd

15-2P1.swf

 

15-2P2.swf

15-2P1

 

15-2P2

 

 

15-3 719 The Normal Distribution 15-3 15-3 15-3    
15-4 724 Correlation 15-4 15-4 15-4    
15-5 730 Fundamental Counting Principles

Pizza.exe

15-5.doc 15-5.pdf 15-5.psd 15-5.swf 15-5
15-6 734 Permutations 15-6.doc 15-6.pdf 15-6.psd 15-6.swf 15-6
15-7 738 Combinations 15-7.doc 15-7.pdf 15-7.psd 15-7.swf 15-7
15-8 743 Sample Spaces and Events 15-8.doc 15-8.pdf 15-8.psd 15-8.swf 15-8
15-9 745 Probability 15-9.doc 15-9.pdf 15-9.psd 15-9.swf 15-9
PS1 & PS2   PS1 & PS2 PS1 & PS2.doc PS1 & PS2.pdf PS1 & PS2.psd PS1 & PS2.swf
Part 1
Part2
PS1 & PS2
Part 1
Part2
15-10 754 Mutually Exclusive and Independent Events 15-10.doc 15-10.pdf 15-10.psd    
    Chapter 15 Formulas.jpg Ch15.doc Ch15.pdf Ch 15 Formulas    
    Ch. 16 Matrices and Determinants          
16-1 767 Matrices:  Definition of Terms 16-1.doc 16-1.pdf 16-1.psd 16-1.swf 16-1
16-2 770 Addition and Scalar Multiplication 16-2.doc 16-2.pdf 16-2.psd 16-2.swf 16-2
16-3 774 Matrix Multiplication 16-3 16-3 16-3    
16-4 779 Applications of Matrices 16-4 16-4 16-4    
16-5 787 Calculating Determinants Using the Definition 16-5.doc 16-5.pdf 16-5.psd 16-5.swf 16-5
16-6 790 Inverses of Matrices 16-6 16-6 16-6    
16-7 794 Calculating Determinants Using Expansion by Minors 16-7.doc 16-7.pdf 16-7.psd 16-7.swf 16-7
16-8 798 Properties of Determinants 16-8 16-8 16-8    
16-9 Part1

16-9 Part2

801 Cramer's Rule Part 1: 2 Equations & 2 Variables

Cramer's Rule Part 2: 3 Equations & 3 Variables

16-9 Part1.doc

16-9 Part2.doc

16-9 Part1.pdf

16-9 Part2.pdf

16-9 Part1.psd

16-9 Part2.psd

16-9P1.swf

 

16-9P2.swf

16-9P1

16-9P2

9-9 444 Systems of Linear Equations in Three Variables 9-9.doc 9-9.pdf 9-9.psd    
    Chapter 16 Formulas.jpg Ch16.doc Ch16.pdf Ch 16 Formulas    
    Ch. 12 Triangle Trigonometry          
12-1 549 Angles and Degree Measure 12-1.doc 12-1.pdf 12-1.psd 12-1.swf 12-1
12-2 555 Trigonometric Functions of Acute Angles 12-2.doc 12-2.pdf 12-2.psd 12-2.swf 12-2
12-3 561 Trigonometric Functions of General Angles

The Unit Circle

12-3.doc

The Unit Circle.doc

12-3.pdf

The Unit Circle.pdf

12-3.psd

The Unit Circle.psd

12-3P1.swf

12-3P2.swf

12-3P1

12-3P2

12-4 568 Values of Trigonometric Functions 12-4.doc 12-4.pdf 12-4.psd 12-4.swf 12-4
12-5 574 Solving Right Triangles 12-5.doc 12-5.pdf 12-5.psd 12-5.swf 12-5
12-6 580 The Law of Cosines 12-6.doc 12-6.pdf 12-6.psd 12-6.swf 12-6
12-7 586 The Law of Sines 12-7.doc 12-7.pdf 12-7.psd 12-7.swf 12-7
12-8 591 Solving General Triangles 12-8 12-8 12-8    
12-9 597 Areas of Triangles: Law of Sines, Hero's Formula 12-9.doc 12-9.pdf 12-9.psd 12-9.swf 12-9
    Chapter 12 Formulas.jpg Ch12.doc Ch12.pdf Ch 12 Formulas    
    Ch. 13 Trigonometric Graphs; Identities          
13-1 607 Radian Measure 13-1.doc 13-1.pdf 13-1.psd 13-1.swf 13-1
13-2 613 Circular Functions 13-2 13-2 13-2    
13-3 619 Periodicity and Symmetry 13-3 13-3 13-3    
13-4 624 Graphs of Sine and Cosine

Sine and Cosine Graphs via Powerpoint

13-4.doc 13-4.pdf 13-4.psd 13-4.swf 13-4
13-5 630 Graphs of the Other Functions 13-5 13-5 13-5    
13-6 636 The Fundamental Identities 13-6 13-6 13-6    
13-7 641 Trigonometric Addition Formulas 13-7 13-7 13-7    
13-8 646 Double-Angle and Half-Angle Formulas 13-8 13-8 13-8    
13-9 650 Formulas for the Tangent 13-9 13-9 13-9    
    Ch. 14 Trigonometric Applications          
14-1 659 Vector Operations 14-1 14-1 14-1    
14-2 666 Vectors in the Plane 14-2 14-2 14-2    
14-3 675 Polar Coordinates 14-3 14-3 14-3    
14-4 680 The Geometry of Complex Numbers 14-4 14-4 14-4    
14-5 685 De Moivre's Theorem 14-5 14-5 14-5    
14-6 689 The Inverse Cosine and Inverse Sine 14-6 14-6 14-6    
14-7 693 Other Inverse Functions 14-7 14-7 14-7    
14-8 697 Trigonometric Equations 14-8 14-8 14-8    
 

By Dave Clausen
Email: dclausen@lcusd.net

 

 

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