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Algebra 1 Topics

Getting Ready for Algebra
- Fractions
- Foundational Skills
  - Problem Solving
  - Perimeter
Foundations for Algebra
- Variables and Expressions
  - Introduction to Algebraic Expressions
  - Translating Between Words and Math
- Representing and Comparing Real Numbers
  - Sets and Number Lines
  - Inequalities and Comparing Real Numbers
- Real Number Types and Properties
  - Types of Numbers
  - Real Number Properties
- Adding and Subtracting Real Numbers
  - Adding Real Numbers
  - Subtracting Real Numbers
- Multiplying and Dividing Real Numbers
  - Multiplying Real Numbers
  - Dividing Real Numbers
- Powers and Square Roots
  - Powers and Exponents
  - Square Roots
- Simplifying Algebraic Expressions
Solving Linear Equations
- One-Step Equations
  - Properties of Equality
  - Solving One-Step Equations
- Two-Step and Multi-Step Equations
  - Solving Two-Step Equations
  - Solving Multi-Step Equations
- Equations with Variables on Both Sides
  - Solving Equations with Variables on Both Sides
  - Identity Equations and Equations with No Solution
- Solving For a Variable and Working with Formulas
  - Solving For a Variable
  - Working with Formulas
- Ratios and Proportions
  - Proportion Definitions
  - Working with Proportions
- Percents and Percent of Change
  - Percents and Percent Proportions
  - Percent of Change
Relations and Functions
- The Coordinate Plane
  - Graphing in the Coordinate Plane
- Relations
  - Relation Definitions
  - Working With Relations
- Functions
  - Function Definitions and Function Notation
  - Working With Functions
- Graphing Linear Equations
  - Identifying Linear Equations
  - Working With Graphs
- Arithmetic Sequences
  - Finding Terms in Arithmetic Sequences
Analyzing Linear Equations
- Rate of Change and Slope
  - Defining Slope
  - Finding Slopes
- Using Intercepts
  - Working With Intercepts
  - Horizontal and Vertical Lines
- Slope-Intercept Form
  - Working with Slope-Intercept Form
- Point-Slope Form
  - Working with Point-Slope Form
- Direct Variation
  - Direct Variation Definitions
  - Using Direct Variation
- Parallel and Perpendicular Lines
  - Parallel Lines
  - Perpendicular Lines
- Scatter Plots and Correlation
  - Finding Correlations with Scatter Plots
Solving and Graphing Linear Inequalities
- Solving Inequalities Using Addition and Subtraction
  - Solving Inequalities Using Addition
  - Solving Inequalities Using Subtraction
- Solving Inequalities Using Multiplication and Division
  - Solving Inequalities Using Multiplication
  - Solving Inequalities Using Division
- Multi-Step Inequalities
  - Solving Multi-Step Inequalities
  - Solving Inequalities With Variables on Both Sides
- Compound Inequalities
  - Solving and Graphing "AND" Compound Inequalities
- Absolute Value Inequalities
  - Writing Absolute Value Inequalities
  - Solving Absolute Value Inequalities
- Graphing Inequalities in Two Variables
  - Graphing Inequalities in the Coordinate Plane
Systems of Equations and Inequalities
- Solving Systems of Equations Using Substitution
  - Solving Systems Using Substitution
- Solving Systems of Equations Using Elimination
  - Elimination by Addition and Subtraction
Exponents and Exponential Functions
- Properties of Exponents
  - Rules of Exponents
  - Negative and Zero Exponents
- Monomials and Polynomials
  - Monomials
  - Polynomials
- Scientific Notation
  - Working with Scientific Notation
- Exponential Functions
  - Graphs of Exponential Functions
- Exponential Growth and Decay
  - Exponential Growth
  - Exponential Decay
Polynomials and Factoring
- Adding and Subtracting Polynomials
  - Subtracting Polynomials
- Multiplying Polynomials
  - Multiplying Using FOIL
  - Multiplying Using the Distributive Property
- Special Products of Polynomials
  - Squares of Sums and Differences
  - Product of a Sum and a Difference
- Factors and Greatest Common Factors
  - Factors
  - Greatest Common Factors
- Factoring Trinomials
  - Methods for Factoring Trinomials
- Factoring Special Products
  - Difference of Squares and Cubes
  - Factoring Perfect Square Trinomials
- Choosing Factoring Strategies and Solving Polynomial Equations
  - Solving Polynomial Equations
  - Choosing a Factoring Strategy
Quadratic Equations and Functions
- Graphing Quadratic Functions
  - Graphs of Quadratic Functions
- Solve Quadratics by Graphing
  - Graphing Definitions and Examples
- Solve Quadratics by Factoring and with Square Roots
  - Solving Quadratics by Factoring
- The Quadratic Formula and the Discriminant
  - Solving Quadratics Using the Quadratic Formula
  - Using the Discriminant
Radical Expressions and Equations
- The Pythagorean Theorem
  - Using The Pythagorean Theorem
  - Trigonometric Ratios
- The Distance and Midpoint Formulas
  - The Midpoint Formula
Rational Expressions and Functions
- Inverse Variation
  - Working with Inverse Variation
- Rational Expressions
  - Simplifying Rational Expressions
  - Excluded Values
- Multiplying and Dividing Rational Expressions
  - Multiplying Rational Expressions
  - Dividing Rational Expressions
- Dividing Polynomials
  - Long Division with Polynomials
- Adding and Subtracting Rational Expressions
  - Adding and Subtracting with Like Denominators
  - Adding and Subtracting with Unlike Denominators
- Mixed Expressions and Complex Fractions
  - Mixed Expressions
  - Complex Expressions
- Solve Rational Equations
  - Solving Rational Equations
Probability and Data Analysis
- Permutations and Combinations
  - Permutations
- Probability of Compound Events
  - Independent and Dependent Events
- Measures of Central Tendency and Dispersion
  - Measures of Central Tendency

what do you want to learn?

Algebra 1 Topics

Getting Ready for Algebra

Fractions

Foundational Skills

Foundations for Algebra

Variables and Expressions

Representing and Comparing Real Numbers

Real Number Types and Properties

Adding and Subtracting Real Numbers

Multiplying and Dividing Real Numbers

Powers and Square Roots

Simplifying Algebraic Expressions

Solving Linear Equations

One-Step Equations

Two-Step and Multi-Step Equations

Equations with Variables on Both Sides

Solving For a Variable and Working with Formulas

Ratios and Proportions

Percents and Percent of Change

Relations and Functions

The Coordinate Plane

Relations

Functions

Graphing Linear Equations

Arithmetic Sequences

Analyzing Linear Equations

Rate of Change and Slope

Using Intercepts

Slope-Intercept Form

Point-Slope Form

Direct Variation

Parallel and Perpendicular Lines

Scatter Plots and Correlation

Solving and Graphing Linear Inequalities

Solving Inequalities Using Addition and Subtraction

Solving Inequalities Using Multiplication and Division

Multi-Step Inequalities

Compound Inequalities

Absolute Value Inequalities

Graphing Inequalities in Two Variables

Systems of Equations and Inequalities

Solving Systems of Equations Using Substitution

Solving Systems of Equations Using Elimination

Exponents and Exponential Functions

Properties of Exponents

Monomials and Polynomials

Scientific Notation

Exponential Functions

Exponential Growth and Decay

Polynomials and Factoring

Adding and Subtracting Polynomials

Multiplying Polynomials

Special Products of Polynomials

Factors and Greatest Common Factors

Factoring Trinomials

Factoring Special Products

Choosing Factoring Strategies and Solving Polynomial Equations

Quadratic Equations and Functions

Graphing Quadratic Functions

Solve Quadratics by Graphing

Solve Quadratics by Factoring and with Square Roots

The Quadratic Formula and the Discriminant

Radical Expressions and Equations

The Pythagorean Theorem

The Distance and Midpoint Formulas

Rational Expressions and Functions

Inverse Variation

Rational Expressions

Multiplying and Dividing Rational Expressions

Dividing Polynomials

Adding and Subtracting Rational Expressions

Mixed Expressions and Complex Fractions

Solve Rational Equations

Probability and Data Analysis

Permutations and Combinations

Probability of Compound Events

Measures of Central Tendency and Dispersion

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