Algebra II Notes
Chapter 1
1-1 Real Numbers and Their Graphs
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1-2 Simplifying Expressions
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1-3 Basic Properties of Real Numbers
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1-4 Sums and Differences
Notes
1-5 Products
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1-6 Quotients
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1-7 Solving Equations in One Variable
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1-8 Words Into Symbols
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1-9 Problem Solving with Equations
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Matho
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Chapter 2
2-1 Solving Inequalities in One Variable
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2-2 Solving Combined Inequalities
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2-3 Problem Solving Using Inequalities
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2-4 Absolute Value in Open Sentences
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2-5 Solving Absolute Value Sentences Graphically
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2-6 Theorems and Proofs
2-7 Theorems about Order and Absolute Value
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Chapter 3
3-1 Open Sentences in Two Variables
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3-2 Graphs of Linear Equations in Two Variables
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3-3 The Slope of a Line
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3-4 Finding an Equation of a Line
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3-5 Systems of Linear Equations in Two Variables
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3-6 Problem Solving: Using Systems
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3-7 Linear Inequalities in Two Variables
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Quiz Review 5-7.3
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The remainder of the class notes will now be located on Angel (Lessons)
http://pcps.myelearning.org
3-8 Functions
3-9 Linear Functions
3-10 Relations
Chapter 4
4-1 Polynomials
4-2 Using Laws of Exponents
4-3 Multiplying Polynomials
4-4 Using Prime Factorization
4-5 Factoring Polynomials
4-6 Factoring Quadratic Polynomials
4-7 Solving Polynomial Equations
4-8 Problem Solving Using Polynomial Equations
4-9 Solving Polynomial Inequalities
Chapter 5
5-1 Quotients of Monomials
5-2 Zero and Negative Exponents
5-3 Scientific Notation and Significant Digits
5-4 Rational Algebraic Expressions
5-5 Products and Quotients of Rational Expressions
5-6 Sums and Differences of Rational Expressions
5-7 Complex Fractions
5-8 Fractional Coefficients
5-9 Fractional Equations
Chapter 6
6-1 Roots of Real Numbers
6-2 Properties of Radicals
6-3 Sums of Radicals
6-4 Binomials Containing Radicals
6-5 Equations Containing Radicals
6-6 Rational and Irrational Numbers
6-7 The Imaginary Number i
6-8 The Complex Numbers
Chapter 7
7-1 Completing the Square
7-2 The Quadratic Formula
7-3 The Discriminant
7-4 Equations in Quadratic Form
7-5 Graphing y-k = a(x - h)^2
7-6 Quadratic Functions
7-7 Writing Quadratic Equations and Functions
Chapter 8
8-1 Direct Variation and Proportion
8-2 Inverse and Joint Variation
8-3 Dividing Polynomials
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
9-1 Distance and Midpoint Formulas
9-2 Circles
9-3 Parabolas
9-4 Ellipses
9-5 Hyperbolas
9-6 More on Central Conics
9-7 The Geometry of Quadratic Systems
9-8 Solving Quadratic Systems
9-9 Systems of Linear Equations in Three Variables
Chapter 10
10-1 Rational Exponents
10-2 Real Number Exponents
10-3 Composition and Inverses of Functions
10-4 Definition of Logarithms
10-5 Laws of Logarithms
10-6 Applications of Logarithms
10-7 Problem Solving: Exponential Growth and Decay
10-8 The Natural Logarithmic Function
Chapter 11
11-1 Types of Sequences
11-2 Arithmetic Sequences
11-3 Geometric Sequences
11-4 Series and Sigma Notation
11-5 Sums of Arithmetic and Geometric Series
11-6 Infinite Geometric Series
11-7 Powers of Binomials
11-8 The General Binomial Expansion
Chapter 12
12-1 Angles and Degree Measure
12-2 Trigonometric Functions of Acute Angles
12-3 Trigonometric Functions of General Angles
12-4 Values of Trigonometric Functions
12-5 Solving Right Triangles
12-6 The Law of Cosines
12-7 The Law of Sines
12-8 Solving General Triangles
12-9 Areas of Triangles
Chapter 13
13-1 Radian Measure
13-2 Circular Functions
13-3 Periodicity and Symmetry
13-4 Graphs of the Sine and Cosine
13-5 Graphs of the Other Functions
13-6 The Fundamental Identities
13-7 Trigonometric Addition Formulas
13-8 Double-Angle and Half-Angle Formulas
13-9 Formulas for the Tangent
Chapter 14
14-1 Vector Operations
14-2 Vectors in the Plane
14-3 Polar Coordinates
14-4 The Geometry of Complex Numbers
14-5 De Moivre's Theorem
14-6 The Inverse Cosine and Inverse Sine
14-7 Other Inverse Functions
14-8 Trigonometric Equations
Chapter 15
15-1 Presenting Statistical Data
15-2 Analyzing Statistical Data
15-3 The Normal Distribution
15-4 Correlation
15-5 Fundamental Counting Principles
15-6 Permutations
15-7 Combinations
15-8 Sample Spaces and Events
15-9 Probability
15-10 Mutually Exclusive and Independent Events
Chapter 16
16-1 Definition of Terms
16-2 Addition and Scalar Multiplication
16-3 Matrix Multiplication
16-4 Applications of Matrices
16-5 Determinants
16-6 Inverses of Matrices
16-7 Expansion of Determinants by Minors
16-8 Properties of Determinants
16-9 Cramer's Rule
Standards Notes
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