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**Algebra 1 Learning Outcomes**

1. Review of Real Numbers

- Section 1.1: Tips for Success in Mathematics
- Section 1.2: Symbols and Sets of Numbers
- Section 1.3: Fractions
- Section 1.4: Introduction to Variable Expressions and Equations
- Section 1.5: Adding Real Numbers
- Section 1.6: Subtracting Real Numbers
- Section 1.7: Adding and Subtracting Matrices
- Section 1.8: Multiplying and Dividing Real Numbers
- Section 1.9: Properties of Real Numbers

2. Solving Equations and Problem Solving

- Section 2.1: Simplifying Algebraic Expressions
- Section 2.2: The Addition Property of Equality
- Section 2.3: The Multiplication Property of Equality
- Section 2.4: Solving Linear Equations
- Section 2.5: An Introduction to Problem Solving
- Section 2.6: Formulas and Problem Solving
- Section 2.7: Percent and Mixture Problem Solving
- Section 2.8: Mixture and Distance Problem Solving
- Section 2.9: Extension: Inductive and Deductive Reasoning

3. Graphs and Functions

- Section 3.1: Reading Graphs and the Rectangular Coordinate System
- Section 3.2: Graphing Linear Equations
- Section 3.3: Intercepts
- Section 3.4: Slope and Rate of Change
- Section 3.5: Equations of Lines
- Section 3.6: Functions
- Section 3.7: Graphing Linear Functions
- Section 3.8: Graphing Piecewise-Defined Functions; Shifting/Reflecting Graphs

4. Solving Inequalities and Absolute Value Equations and Inequalities

- Section 4.1: Linear Inequalities and Problem Solving
- Section 4.2: Compound Inequalities
- Section 4.3: Absolute Value Equations
- Section 4.4: Absolute Value Inequalities
- Section 4.5: Graphing Linear Inequalities

5. Solving Systems of Linear Equations and Inequalities

- Section 5.1: Solving Systems of Linear Equations by Graphing
- Section 5.2: Solving Systems of Linear Equations by Substitution
- Section 5.3: Solving Systems of Linear Equations by Addition
- Section 5.4: Systems of Linear Equations and Problem Solving
- Section 5.5: Systems of Linear Inequalities
- Section 5.6: Frequency Distributions, Histograms, and Stem-and-Leaf Plots
- Section 5.7: Mean, Median, and Mode
- Section 5.8: Extension: Box-and-Whisker Plots

6. Exponents and Polynomials

- Section 6.1: Exponents
- Section 6.2: Adding and Subtracting Polynomials
- Section 6.3: Multiplying Polynomials
- Section 6.4: Special Products
- Section 6.5: Negative Exponents and Scientific Notation
- Section 6.6: Graphing Exponential Functions and Using the Compound Interest Formula
- Section 6.7: Exponential Growth and Decay Functions
- Section 6.8: Dividing Polynomials

7. Factoring Polynomials

- Section 7.1: The Greatest Common Factor and Factoring by Grouping
- Section 7.2: Factoring Trinomials of the Form x^2 bx c
- Section 7.3: Factor Trinomials ax^2 bx c and Perfect Sqr Trinomials
- Section 7.4: Factoring Trinomials of the form ax^2 bx c by Grouping
- Section 7.5: Factoring Binomials
- Section 7.6: Solving Quadratic Equations by Factoring
- Section 7.7: Quadratic Equations and Problem Solving

8. Rational Expressions

- Section 8.1: Simplifying Rational Expressions
- Section 8.2: Multiplying and Dividing Rational Expressions
- Section 8.3: Adding and Subtracting Rational Expressions with Common Denominators
- Section 8.4: Adding and Subtracting Rational Expressions with Unlike Denominators
- Section 8.5: Solving Equations Containing Rational Expressions
- Section 8.6: Proportion and Problem Solving with Rational Equations
- Section 8.7: Variation and Problem Solving
- Section 8.8: Graphing Rational Functions by Transformations

9. Roots and Radicals

- Section 9.1: Introduction to Radicals and Radical Functions
- Section 9.2: Simplifying Radicals
- Section 9.3: Adding and Subtracting Radicals
- Section 9.4: Multiplying and Dividing Radicals
- Section 9.5: Solving Equations Containing Radicals
- Section 9.6: Radical Equations and Problem Solving
- Section 9.7: Right Triangle Trigonometry

10. Quadratic Equations

- Section 10.1: Solving Quadratic Equations by the Square Root Property
- Section 10.2: Solving Quadratic Equations by Completing the Square
- Section 10.3: Solving Quadratic Equations by the Quadratic Formula
- Section 10.4: Graphing Quadratic Equations
- Section 10.5: Linear, Quadratic, and Exponential Models

**Algebra 2 Learning Outcomes**

1. Real Numbers and Algebraic Expressions

- Section 1.1: Tips for Success in Mathematics
- Section 1.2: Algebraic Expressions and Sets of Numbers
- Section 1.3: Operations on Real Numbers
- Section 1.4: Properties of Real Numbers

2. Equations, Inequalities, and Problem Solving

- Section 2.1: Linear Equations in One Variable
- Section 2.2: An Introduction to Problem Solving
- Section 2.3: Formulas and Problem Solving
- Section 2.4: Linear Inequalities and Problem Solving
- Section 2.5: Compound Inequalities
- Section 2.6: Absolute Value Equations
- Section 2.7: Absolute Value Inequalities

3. Graphs and Functions

- Section 3.1: Graphing Equations
- Section 3.2: Introduction to Functions
- Section 3.3: Graphing Linear Functions
- Section 3.4: The Slope of a Line
- Section 3.5: Equations of Lines
- Section 3.6: Graph Piecewise-Defined Functions; Shift/Reflect Graphs
- Section 3.7: Graphing Linear Inequalities
- Section 3.8: Extension: Stretching and Compressing Graphs of Absolute Value Functions

4. Systems of Equations and Inequalities

- Section 4.1: Solving Systems of Linear Equations in Two Variables
- Section 4.2: Solving Systems of Linear Equations in Three Variables
- Section 4.3: Systems of Linear Equations and Problem Solving
- Section 4.4: Solving Systems of Equations by Matrices
- Section 4.5: Systems of Linear Inequalities
- Section 4.6: Linear Programming

6. Exponents, Polynomials, and Polynomial Functions

- Section 6.1: Exponents and Scientific Notation
- Section 6.2: More Work with Exponents and Scientific Notation
- Section 6.3: Polynomials and Polynomial Functions
- Section 6.4: Multiplying Polynomials
- Section 6.5: The Greatest Common Factor and Factoring by Grouping
- Section 6.6: Factoring Trinomials
- Section 6.7: Factoring by Special Products
- Section 6.8: Solving Equations by Factoring and Problem Solving
- Section 6.9: Extension: Even and Odd Power Functions and End Behavior

7. Rational Expressions

- Section 7.1: Rational Functions and Multiplying and Dividing Rational Expressions
- Section 7.2: Adding and Subtracting Rational Expressions
- Section 7.3: Simplifying Complex Fractions
- Section 7.4: Dividing Polynomials: Long Division and Synthetic Division
- Section 7.5: Solving Equations Containing Rational Expressions
- Section 7.6: Rational Equations and Problem Solving
- Section 7.7: Variation and Problem Solving

8. Rational Exponents, Radicals, and Complex Numbers

- Section 8.1: Radicals and Radical Functions
- Section 8.2: Rational Exponents
- Section 8.3: Simplifying Radical Expressions
- Section 8.4: Adding, Subtracting, and Multiplying Radical Expressions
- Section 8.5: Rationalizing Denominators and Numerators of Radical Expressions
- Section 8.6: Radical Equations and Problem Solving
- Section 8.7: Complex Numbers
- Section 8.8: Standard Deviation

9. Quadratic and Higher Degree Equations and Functions

- Section 9.1: Solving Quadratic Equations by Completing the Square
- Section 9.2: Solving Quadratic Equations by the Quadratic Formula
- Section 9.3: Solving Equations by Using Quadratic Methods
- Section 9.4: Zeros of Polynomial Functions
- Section 9.5: The Fundamental Theorem of Algebra
- Section 9.6: Nonlinear Inequalities in One Variable

10. Exponential and Logarithmic Functions

- Section 10.1: The Algebra of Functions; Composite Functions
- Section 10.2: Inverse Functions
- Section 10.3: Exponential Functions
- Section 10.4: Logarithmic Functions
- Section 10.5: Properties of Logarithms
- Section 10.6: Common Logarithms, Natural Logarithms, and Change of Base
- Section 10.7: Exponential and Logarithmic Equations and Applications

11. Graphing Quadratic Functions, Rational Functions, and Conic Sections

- Section 11.1: Quadratic Functions and Their Graphs
- Section 11.2: Further Graphing of Quadratic Functions
- Section 11.3: Graphing Rational Functions by Transformations
- Section 11.4: Further Graphing of Rational Functions
- Section 11.5: The Parabola and the Circle
- Section 11.6: The Ellipse and the Hyperbola
- Section 11.7: Solving Nonlinear Systems of Equations
- Section 11.8: Nonlinear Inequalities and Systems of Inequalities