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Algebra I, American: syllabus

The lessons in book order, one card per unit. Open any lesson that has an episode if you have access; locked lessons are greyed out.

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Unit 1: One-variable Statistics

9 lessonsno episodes yet
  1. Data Representations (dot plots, histograms, box plots)

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  2. The Shape of Distributions

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  3. Calculating Measures of Center and Variability

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  4. Spreadsheet Computations for Statistics

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  5. The Effect of Extremes on Mean and Median

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  6. Comparing and Contrasting Data Distributions

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  7. Standard Deviation

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  8. Outliers

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  9. Comparing Data Sets

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Unit 2: Linear Equations, Inequalities, and Systems

17 lessonsno episodes yet
  1. Writing Equations to Model Relationships

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  2. Equations and Their Solutions

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  3. Equations and Their Graphs

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  4. Equivalent Equations

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  5. Explaining Steps for Rewriting Equations

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  6. Solving for a Specified Variable (literal equations)

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  7. Connecting Equations to Graphs (slope-intercept and standard form)

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  8. Writing and Graphing Systems of Linear Equations

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  9. Solving Systems by Substitution

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  10. Solving Systems by Elimination

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  11. Systems of Linear Equations and Their Solutions (one, none, infinitely many)

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  12. Representing Situations with Inequalities

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  13. Writing and Solving Inequalities in One Variable

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  14. Graphing Linear Inequalities in Two Variables

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  15. Solving Problems with Inequalities in Two Variables

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  16. Solutions to Systems of Linear Inequalities in Two Variables

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  17. Modeling with Systems of Inequalities in Two Variables

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Unit 3: Two-variable Statistics

8 lessonsno episodes yet
  1. Two-way Tables

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  2. Relative Frequency Tables

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  3. Associations in Categorical Data

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  4. Linear Models and Scatter Plots

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  5. Fitting Lines

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  6. Residuals

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  7. The Correlation Coefficient

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  8. Causal Relationships (correlation vs. causation)

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Unit 4: Functions

14 lessonsno episodes yet
  1. Describing and Graphing Situations

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  2. Function Notation

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  3. Interpreting and Using Function Notation

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  4. Using Function Notation to Describe Rules

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  5. Features of Graphs (intercepts, maximum, minimum)

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  6. Using Graphs to Find Average Rate of Change

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  7. Interpreting and Creating Graphs

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  8. Comparing Graphs

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  9. Domain and Range

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  10. Piecewise Functions

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  11. Absolute Value Functions

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  12. Inverse Functions

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  13. Finding and Interpreting Inverse Functions

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  14. Writing Inverse Functions to Solve Problems

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Unit 5: Introduction to Exponential Functions

15 lessonsno episodes yet
  1. Patterns of Growth (linear vs. exponential)

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  2. Representing Exponential Growth

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  3. Understanding and Representing Exponential Decay

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  4. Analyzing Graphs of Exponential Functions

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  5. Using Negative Exponents

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  6. Exponential Situations as Functions

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  7. Interpreting Exponential Functions

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  8. Looking at Rates of Change

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  9. Modeling Exponential Behavior

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  10. Reasoning about Exponential Graphs

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  11. Functions Involving Percent Change

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  12. Compounding Interest

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  13. Different Compounding Intervals

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  14. Equivalent Forms of Exponential Expressions

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  15. Comparing Linear and Exponential Functions (which one changes faster?)

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Unit 6: Introduction to Quadratic Functions

13 lessonsno episodes yet
  1. A Different Kind of Change (quadratic patterns)

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  2. Building Quadratic Functions from Geometric Patterns

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  3. Comparing Quadratic and Exponential Functions

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  4. Building Quadratic Functions to Describe Situations (falling objects, revenue)

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  5. Equivalent Quadratic Expressions

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  6. Standard Form and Factored Form

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  7. Graphs of Functions in Standard and Factored Forms

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  8. Graphing from the Factored Form

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  9. Graphing the Standard Form

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  10. Graphs That Represent Situations

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  11. Vertex Form

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  12. Graphing from the Vertex Form

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  13. Changing the Vertex

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Unit 7: Quadratic Equations

17 lessonsno episodes yet
  1. When and Why Do We Write Quadratic Equations?

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  2. Solving Quadratic Equations by Reasoning

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  3. Solving Quadratic Equations with the Zero Product Property

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  4. How Many Solutions?

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  5. Rewriting Quadratic Expressions in Factored Form

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  6. Solving Quadratic Equations by Using Factored Form

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  7. What Are Perfect Squares?

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  8. Completing the Square

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  9. Quadratic Equations with Irrational Solutions

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  10. The Quadratic Formula

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  11. Applying the Quadratic Formula

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  12. Deriving the Quadratic Formula

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  13. Rational and Irrational Solutions

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  14. Sums and Products of Rational and Irrational Numbers

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  15. Rewriting Quadratic Expressions in Vertex Form

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  16. Using Quadratic Expressions in Vertex Form to Solve Problems

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  17. Using Quadratic Equations to Model Situations and Solve Problems

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More episodes for this subject

  • Linear Functions8 min
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