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Mr. DeJarlais's Advanced Algebra
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Chapter "0": Prerequisites
Day 1 - Evaluating, Combining Like Terms, and Solving Equations
Day 10 - Three-Variable Systems
Day 2 - Solving Inequalities
Day 3 - Absolute Value Equations and Inequalities
Day 4 - Graphing Linear Equations
Day 5 - Writing Linear Equations
Day 6 - Absolute Value Functions
Day 7 - Systems of Equations
Day 8 - Linear Inequalities and Systems of Inequalities
Day 9 - Linear Programming
Rolling Reviews
Chapter 1: Quadratic Functions and Factoring
1.0 Domain and Range
1.1 Graph Quadratic Functions in Standard Form
1.2 Graph Quadratic Functions in Vertex or Intercept Form
1.3 Solve x^2+bx+c=0 by Factoring
1.4 Solve ax^2+bx+c=0 by Factoring
1.5 Solve Quadratic Equations by Finding Square Roots
1.6 Perform Operations with Complex Numbers
1.7 Complete the Square
1.8 Use the Quadratic Formula and Discriminant
Rolling Reviews
Chapter 2: Polynomials and Polynomial Functions
2.1 Use Properties of Exponents
2.2 Evaluate and Graph Polynomial Functions
2.3 Add, Subtract, and Multiply Polynomials
2.4 Factor and Solve Polynomial Equations
2.5 Apply the Remainder and Factor Theorems
2.6 Find Rational Zeros
2.7 Apply the Fundamental Theorem of Algebra
2.8 Analyze Graphs of Polynomial Functions
Rolling Reviews
Chapter 3: Rational Exponents and Radical Functions
3.0 Operations with Square Roots
3.1 Evaluate nth Roots and Use Rational Exponents
3.2 Apply Properties of Rational Exponents
3.3 Perform Function Operations and Composition
3.4 Use Inverse Functions
3.5 Graph Square Root and Cube Root Functions
3.6 Solve Radical Equations
Rolling Reviews
Chapter 4: Exponential and Logarithmic Functions
4.1+4.2 Graph Exponential Functions
4.3 Compound Interest and e
4.4 Evaluate Logarithms and Graph Logarithmic Functions
4.5 Apply Properties of Logarithms
4.6 Solve Exponential and Logarithmic Equations
4.7 Regression
Rolling Reviews
Chapter 5: Rational Functions
5.1 Inverse and Joint Variation
5.2 Graph Simple Rational Functions
5.3 Graph General Rational Functions
5.4 Multiply and Divide Rational Expressions
5.5 Add and Subtract Rational Expressions
5.6 Solving Rational Equations
5.7 Describe and Compare Function Characteristics
Rolling Reviews
Chapter 7: Sequences and Series
7.1 Define and Use Sequences and Series
7.2 Analyze Arithmetic Sequences and Series
7.3 Analyze Geometric Sequences and Series
7.4 Find Sums of Infinite Geometric Series
Rolling Reviews
Chapter 8: Conic Sections
8.1 + 8.3 Midpoints, Distance, and Circles
8.2 Graph and Write Equations of Parabolas
8.4 Graph and Write Equations of Ellipses
Chapter 9/10: Trigonometry
10.1 Graph Sine, Cosine, and Tangent Functions
9.1 Use Trigonometry with Right Triangles
9.2 Define General Angles and Use Radian Measure
9.3 The Unit Circle
Rolling Reviews
Extra Credit: Counting and Probability
Lesson 1: Probability
Lesson 2: Permutations and Combinations
Lesson 3: Binomial Theorem and Probability
Extra Credit: Matrices
Lesson 1: Basic Matrix Operations
Lesson 2: Matrix Multiplication
Lesson 3: Determinants and Inverses
Lesson 4: Systems and Cramer's Rule
Lesson 5: Augmented Matrices and Row Operations
Final Exam
Mr. DeJarlais's Advanced Algebra
5.3 Graph General Rational Functions
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