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McDougal Littell Algebra 2 and
Trigonometry 2/15/2012
Textbook Section Khan Video Internet Khan Exercise
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