McDougal Littell Algebra 2 and

Trigonometry 2/15/2012

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Chapter 1: Basic Concepts of

Algebra

1-1 Real Numbers and Their Graphs Points on a Number Line Number Line

Comparing Rational Numbers Number line 2

Number line 3

Absolute Value 1 Absolute Value

Absolute Value and Number Lines

Absolute Value of Integers

Opposite of a Given Number

1-2 Simplifying Expressions Order of Operations Order of operations

Order of Operations 1

Order of Operations 2

Variables and Expressions 1 Evaluating expressions 1

Evaluating Expressions with 2 Variables Evaluating expressions 2

1-3 Basic Properties of Real Numbers Commutative Law of Addition Properties of Numbers 1

Commutative Law of Multiplication

Associative Law of Addition

Associative Law of Multiplication

Identity Property of 1 Properties of numbers 2

Identity Property of Zero

The Distributive Property Distributive property

The Distributive Property 2

1-4 Sums and Differences Negative Numbers Introduction Adding Negative Numbers

Adding Negative Numbers

Adding Integers with Different Signs

Adding/Subtracting Negative Numbers

Adding and subtracting negative

numbers

1-5 Products Multiplying and Dividing Negative Numbers

Multiplying and Dividing Negative

Numbers

1-6 Quotients1-7 Solving Equations in One

Variable Simple Equations One step equations

Algebra Linear Equations 1

Equations 2 Linear equations 1

Algebra Linear Equations 2 Linear equations 2

Algebra Linear Equations 3

Equations 3 Linear equations 3

1-8 Words Into Symbols Writing expressions 1

Writing Expressions 2

McDougal Littell Algebra 2 and

Trigonometry 2/15/2012

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1-9 Problem Solving with Equations Age Word Problems 1 Age Word Problems

Age Word Problems 2 Interpreting linear equations

Age Word Problems 3

Chapter 2: Inequalities and Proof

2-1 Solving Inequalities in One

Variable One Step Inequalities Inequalities on a number line

One Step Inequalities 2 One Step Inequalities

Multi-step Inequalities

Multi-step inequalities 2

2-2 Solving Combined Inequalities Compound Inequalities Compound Inequalities

Compound Inequalities 2

Compound Inequalities 3

Compound Inequalities 4

2-3 Problem Solving Using

Inequalities Graphing Inequalities Graphing inequalities

2-4 Absolute Value in Open

Sentences Absolute Value Equations 1 Absolute value equations

Absolute Value Equations 2

Absolute Value Equations Example

2-5 Solving Absolute Value

Sentences Graphically Absolute Value Inequalities

Absolute Value Inequalities Example 2

2-6 Theorems and Proofs

2-7 Theorems about Order and

Absolute Value

Chapter 3: Linear Equations and

Functions

3-1 Open Sentences in Two Variables Linear Equations in Standard Form Linear Equations 4

Algebra Linear Equations 4

3-2 Graphs of Linear Equations in

Two Variables Algebra: graphing lines 1 Graphing linear equations

3-3 The Slope of a Line Algebra: Slope and Y-intercept intuition Line graph intuition

Algebra: Slope Slope of a Line

Algebra: Slope 2

Algebra: Slope 3

McDougal Littell Algebra 2 and

Trigonometry 2/15/2012

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3-4 Finding the Equation of a Line Algebra: Equation of a line Solving for the Y-intercept

Solving for the x-intercept

Equation of a line

3-5 Systems of Linear Equations in

Two Variables Systems of equations Graphing systems of equations

Solving Linear Systems by Substitution Systems of equations

Solving Systems of Equations by Elimination

Solving Systems of Equations by Multiplication

3-6 Problem Solving: Using Systems Special Types of Linear Systems Expressions with Unknown Variables

Solving Linear Systems by Graphing Expressions with unknown variables 2

3-7 Linear Inequalities in Two

Variables Systems of Linear Inequalities Graphing Inequalities

Solving and Graphing Linear Inequalities in 2

Variables

Graphing Linear Inequalities in 2 Variables 2

Graphing Linear Inequalities in 2 Variables 3

Graphing Inequalities 2 Graphing Inequalities 2

Linear inequalities

3-8 Functions Introduction to functions Functions 1

Domain of a function Domain of a function

Domain and Range 1 Range of a function

Domain and Range 2 Domain and Range 0.5

Domain and Range of a Function

3-9 Linear Functions Basic Linear Function

Linear Function Graphs

Recognizing Linear Functions

3-10 Relations Relations and Functions

Graphical Relations and Functions

Chapter 4: Products and Factors of

Polynomials

4-1 Polynomials Simplify a Polynomial

Adding Polynomials

Opposite of a Polynomial

Subtracting Polynomials

4-2 Using Laws of Exponents Exponent Rules Part 1 Exponent Rules

Exponent Rules Part 2

Exponent Rules 1

Exponent Rules 2

Exponent Rules 3

McDougal Littell Algebra 2 and

Trigonometry 2/15/2012

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4-3 Multiplying Polynomials Multiplying Monomials Multiplying Polynomials

Multiplying Monomials by Polynomials

Multiplying Binomials

Multiplying Polynomials 1

4-4 Using Prime Factorization Prime Numbers Prime Factorization

Prime Factorization

Recognizing Prime Numbers

Monomial Greatest Common Factor

Factor polynomials using the GCF Least Common Multiple

Least Common Multiple

Least Common Multiple (alt version)

4-5 Factoring Polynomials The Distributive Property - Example 1 Distributive property with variables

Factoring and the Distributive Property

Factoring and the Distributive Property 2

Factoring and the Distributive Property 3

Factoring Trinomials by Grouping

Factoring Trinomials by Grouping 2

Factoring Trinomials by Grouping 3

Factoring Trinomials by Grouping 4

Factoring Trinomials by Grouping 5

Factoring Trinomials by Grouping 6

4-6 Factoring Quadratic Polynomials Factoring Quadratic Expressions Solving Quadratics by Factoring

Factoring Special Products 1

Factoring Special Products 2

Factoring Special Products 3

4-7 Solving Polynomial Equations Solving Factored Equations

Solving Quadratics by Factoring

4-8 Problem Solving Using

Polynomial Equations Applications Problem: Factoring Quadratics

Multiplying Polynomials 2

Multiplying Polynomials 3

4-9 Solving Polynomial Inequalities Quadratic Inequalities

Quadratic Inequalities (Visual Explanation)

Chapter 5: Rational Expressions

5-1 Quotients of Monomials Dividing Monomials

5-2 Zero and Negative Exponents Negative Exponent Intuition

McDougal Littell Algebra 2 and

Trigonometry 2/15/2012

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5-3 Scientific Notation and

Significant Digits Scientific Notation 1 Scientific Notation

Scientific Notation 2

Scientific Notation 3

Scientific Notation Examples

Significant Figures Significant Figures 1

More on Significant Figures

Multiplying and Dividing with Significant Figures

Addition and Subtraction with Significant Figures

5-4 Rational Algebraic Expressions Simplifying Rational Expressions

5-5 Products and Quotients of

Rational Expressions Level 1 multiplying expressions Multiplying expressions 1

Multiplying and Dividing Rational Expressions

Multiplying and Dividing Rational Expressions 2

Multiplying and Dividing Rational Expressions 3

5-6 Sums and Differences of Rational

Expressions Adding Rational Expressions Example 1

Adding Rational Expressions Example 2

Adding Rational Expressions Example 3

Subtracting Rational Expressions

5-7 Complex Fractions

5-8 Fractional Coefficients

5-9 Fractional Equations

Chapter 6: Irrational and Complex

Numbers

6-1 Roots of Real Numbers Square Roots and Real Numbers

Approximating Square Roots

Simplifying Square Roots

Finding Cube Roots

Simplifying Cube Roots

6-2 Properties of Radicals Simplifying Radicals Simplifying Radicals

Radical Expressions with Higher Roots

More Simplifying Radical Expressions

How to Rationalize a Denominator

Multiply and Simplify a Radical Expression 1 Multiplying radicals

Multiply and Simplify a Radical Expression 2

Rational Exponents and Exponent Laws

McDougal Littell Algebra 2 and

Trigonometry 2/15/2012

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More Rational Exponents and Exponent Laws

6-3 Sums of Radicals Adding and Simplifying Radicals Adding and Subtracting Radicals

Subtracting and Simplifying a Radical

6-4 Binomials Containing Radicals Multiplying Binomials with Radicals

Rationalizing Denominators with Radicals

Rationalizing Denominators with Conjugates

6-5 Equations Containing Radicals Solving Radical Equations Radical equations

Extraneous Solutions for Radical Equations

Rational Equation Application Problem

6-6 Rational and Irrational Numbers Identifying Rational Numbers

Converting Repeating Decimals to

Fractions 1

Converting Repeating Decimals to Fractions 1

Converting repeating decimals to

fractions 2

Converting Repeating Decimals to Fractions 2

6-7 The Imaginary Number i Introduction to i and Imaginary Numbers

Calculating i Raised to Arbitrary Exponents

i as the Principal Root of -1 (a little technical)

Imaginary Roots of Negative Numbers

6-8 The Complex Numbers Complex Numbers (part 1)

Complex Numbers (part 2)

Complex Numbers

Adding Complex Numbers

Subtracting Complex Numbers

Multiplying Complex Numbers

Complex Conjugates Example

Dividing Complex Numbers

Chapter 7: Quadratic Equations and

Functions

7-1 Completing the Square Completing the square Completing the Square 1

Completing the square 1

Completing the square 2 Completing the square 2

Completing the square 3

Completing the square 4

Completing the Square to Solve Quadratic

Equations

7-2 The Quadratic Formula Quadratic Formula 1 Quadratic equation

Quadratic Formula 2

Quadratic Formula 3

Quadratic Formula (proof)

McDougal Littell Algebra 2 and

Trigonometry 2/15/2012

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Applying the Quadratic Formula

Complex Roots from the Quadratic Formula

Application Problem with Quadratic Formula

Using the Quadratic Formula

7-3 The Discriminant Discriminant of Quadratic Equations

Discriminant for Types of Solutions for a

Quadratic

7-4 Equations in Quadratic Form Introduction to the quadratic equation

Quadratic Equation part 2

7-5 Graphing y-k=a(x-h)2 Graphing a Quadratic Function Shifting and Reflecting Functions

Quadratics and Shifts

Shifting Quadratic Graphs

7-6 Quadratic Functions

Solving Quadratic Equations by Graphing (demo

on a TI graphing calculator)

7-7 Writing Quadratic Equations and

Functions

Chapter 8: Variation and

Polynomial Equations

8-1 Direct Variation and Proportion Direct and Inverse Variation Direct and Inverse Variation

Recognizing Direct and Inverse Variation

Direct Variation Models

Direct Variation 1

8-2 Inverse and Joint Variation Direct, Inverse, and Joint Variation

Proportionality Constant for Direct Variation

Direct Variation Application

8-3 Dividing Polynomials Polynomial Divided by a Monomial

Dividing a Multivariable Polynomial by a

Monomial

Dividing Polynomials 1

Dividing Polynomials with Remainders

8-4 Synthetic Division

8-5 The Remainder and Factor

Theorems

8-6 Some Useful Theorems

8-7 Finding Rational Roots

8-8 Approximating Irrational Roots

8-9 Linear Interpolation

Chapter 9: Analytic Geometry

9-1 Distance and Midpoint Formulas Distance Formula Distance Formula

McDougal Littell Algebra 2 and

Trigonometry 2/15/2012

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Midpoint Formula Midpoint Formula

9-2 Circles Introduction to Conic Sections Equation of a circle 1

Conic Sections: Intro to Circles Equation of a circle 2

9-3 Parabolas Graphs of Quadratic Functions Parabola intuition 1

Parabola: Focus and Derectrix 1 Parabola Intuition 2

Parabola: Focus and Derectrix 2 Parabola intuition 3

9-4 Ellipses Conic Sections: Intro to Ellipses Equation of an Ellipse

9-5 Hyperbolas Conic Sections: Intro to Hyperbolas Equation of a Hyperbola

Conic Sections: Hyperbolas 2

Conic Sections: Hyperbolas 3

9-6 More on Central Conics Introduction to Conic Sections Recognizing Conic Sections

Identifying Conics 1

Identifying Conics 2

Conic Identification 3

9-7 The Geometry of Quadratic

Systems

9-8 Solving Quadratic Systems

9-9 Systems of Linear Equations in

Three Variables Systems of 3 Variables

Systems of 3 Variables 2

Three Equation Application Problem

Chapter 10: Exponential and

Logarithmic Functions

10-1 Rational Exponents Level 1 Exponents Exponents 1

Level 2 Exponents Exponents 2

Zero, Negative, and Fractional Exponents

Negative Exponent Intuition

Level 3 exponents Exponents 3

Fractional Exponent Expressions 1 Exponents 4

Fractional Exponent Expressions 2

Fractional Exponent Expressions 3

10-2 Real Number Exponents Graphing Exponential Functions

Exponential Application

10-3 Composition and Inverses of

Functions Functions Part 2 Functions 2

Functions Part 3 Functions 3

Introduction to Function Inverses Inverses of Functions

Function Inverse Example 1

Function Inverse Example 2

Function Inverse Example 3

10-4 Definition of Logarithms Introduction to Logarithms Logarithms 1

10-5 Laws of Logarithms Introduction to Logarithm Properties Logarithms 2

Introduction to Logarithm Properties 2

Sum of Logarithms with the Same Base

Difference of Logarithms with the Same Base

McDougal Littell Algebra 2 and

Trigonometry 2/15/2012

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Logarithm of a Power

Using Multiple Logarithm Properties to Simplify

Proof: log a + log b = log ab

Proof: A(log B) = log (B^A), log A - log B = log

(A/B)

Proof: log_a (B) = (log_x (B))/(log_x (A))

10-6 Applications of Logarithms Applying Logarithms

Applying Logarithms 2

10-7 Problem Solving: Exponential

Growth and Decay Exponential Growth Functions

Exponential Decay Functions

10-8 The Natural Logarithm Function

Natural Logarithm Function - Graphing with a

Calculator

Chapter 11: Sequences and Series

11-1 Types of Sequences Sequence and Series 1

11-2 Arithmetic Sequences

11-3 Geometric Sequences Geometric Sequences

11-4 Series and Sigma Notation

11-5 Sums of Arithmetic and

Geometric Series Binomial Expansions, Geometric Series Sum

11-6 Infinite Geometric Series Sequence and Series 2

11-7 Powers of Binomials

11-8 The General Binomial

Expansion Binomial Theorem Part 1

Binomial Theorem Part 2

Binomial Theorem Part 3

Chapter 12: Triangle Trigonometry

12-1 Angles and Degree Measure

12-2 Trigonometric Functions of

Acute Angles Basic Trigonometry

Basic Trigonometry 2

12-3 Trigonometric Functions of

General Angles

12-4 Values of Trigonometric

Functions

12-5 Solving Right Triangles Using Trig Functions Trigonometry 1

12-6 The Law of Cosines Law of Cosines

12-7 The Law of Sines Proof: Law of Sines

12-8 Solving General Triangles Using Trig Functions Part 2 Trigonometry 2

12-9 Areas of Triangles Heron's Formula Herons formula

Part 1 of Proof or Heron's Formula

Part 2 of Proof of Heron's Formula

McDougal Littell Algebra 2 and

Trigonometry 2/15/2012

Textbook Section Khan Video Internet Khan Exercise

Chapter 13: Trigonometric Graphs;

Identities

13-1 Radian Measure Radians and Degrees Radians and degrees

Degrees to Radians

Radians to degrees

13-2 Circular Functions

The Unit Circle Definition of Trigonometric

Functions Unit Circle

Unit Circle Definition of Trig Functions (Part 2)

13-3 Periodicity and Symmetry

Determining the Equation of a Trigonometric

Function

13-4 Graphs of the Sine and Cosine Graph of the Sine Function Graphs of Sine and Cosine

Graphs of Trig Functions

Graphing Trig Functions

More Trig Graphs

13-5 Graphs of Other Functions

13-6 The Trigonometric Identities Trigonometric Identies Trig Identities 1

Proof: sin(a+b) = (cos a)(sin b) + (sin a)(cos b)

Proof: cos(a+b) = (cos a)(cos b)-(sin a)(sin b)

Trig Identities Part 2

Trig Identities Part 3

Trigonometry Identities Review

[Extra Word Problems] Ferris Wheel Trig Problem

Ferris Wheel Trig Problem Part 2

Fun Trig Problem

Trigonometry Word Problems Part 1

Trigonometry Word Problems Part 2

Navigation Word Problem

13-7 Trigonometric Addition

Formulas

13-8 Double-Angle and Half-Angle

Formulas

13-9 Formulas for the Tangent

(Extra) Trigonometry challenge

Chapter 14: Trigonometric

Applications

14-1 Vector Operations Linear Algebra: Introduction to Vectors Adding vectors

Linear Algebra: Vector Examples

14-2 Vectors in the Plane Scaling vectors

14-3 Polar Coordinates Polar Coordinates 1

Polar Coordinates 2

Polar Coordinates 3

McDougal Littell Algebra 2 and

Trigonometry 2/15/2012

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14-4 The Geometry of Complex

Numbers

14-5 De Moivre's Theorem

14-6 The Inverse Cosine and Inverse

Sine Inverse Trig Functions: Arcsin Inverse Trig Functions

Inverse Trig Functions: Arccos

14-7 Other Inverse Functions Inverse Trig Functions: Arctan

14-8 Trigonometric Equations

Chapter 15: Statistics and

Probability

15-1 Presenting Statistical Data Histograms Exploring mean and median

Average or Central Tendency: Arithmetic Mean,

Median, and Mode

Stem and Leaf Plots

Statistics: The Average Mean median and mode

Algebra II: Mean and Standard Deviation

15-2 Analyzing Statistical Data Box and Whisker Plot

Range, Variance and Standard Deviation as

Measures of Dispersion

Variance of a Population

Statistics: Standard Deviation

Statistics: Alternate Variance Formulas

15-3 The Normal Distribution Introduction to the Normal Distribution

Normal Distribution Excel Exercise

15-4 Correlation Squared Error of the Regression Line

15-5 Fundamental Counting

Principles

15-6 Permutations Introduction to Permutations

15-7 Combinations Introduction to Combinations

Permuations and Combinations 1

Permuations and Combinations 2

Permuations and Combinations 3

Permuations and Combinations 4

15-8 Sample Spaces and Events

15-9 Probability Basic Probability Probability 1

Probability 1 Module Examples

Probability of Getting at least one head

Probability Part 1

Probability Part 2

Probability Part 3

15-10 Mutually Exclusive and

Independent Events

Probability with Playing Cards and Venn

Diagrams

Chapter 16: Matricies and

Determinants

16-1 Definition of Terms

McDougal Littell Algebra 2 and

Trigonometry 2/15/2012

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16-2 Addition and Scalar

Multiplication Introduction to matrices

16-3 Matrix Multiplication Matrix multiplication (part 1)

Matrix multiplication (part 2)

16-4 Applications of Matrices

16-5 Determinants

16-6 Inverses of Matrices Inverse Matrix (part 1)

Inverting matrices (part 2)

Inverting Matrices (part 3)

16-7 Expansion of Determinants by

Minors

16-8 Properties of Determinants

16-9 Cramer's Rule