Algebra 1

Geometry
05
Jan

Credit Value: 1

 Anticipated Grade Level(s): 8th and 9th.

 Prerequisites:  Pre-Algebra or equivalent.

 Course Description:   

The content of Algebra 1 is organized around families of functions, with special emphasis on linear and quadratic functions.  As students learn about each family of functions, they will learn to represent them in multiple ways – as verbal descriptions, equations, tables, and graphs.  They will also learn to model real-world situations using functions in order to solve problems arising from those situations.  In addition to its algebra content, the course includes lessons on probability and data analysis as well as numerous examples and exercises involving geometry.

Course Content

Total learning: 74 lessons Time: 10 weeks
  • Expressions, Equations, and Functions
    7
    • Lecture1.1
      Evaluate Expressions
    • Lecture1.2
      Apply Order of Operations
    • Lecture1.3
      Write Expressions
    • Lecture1.4
      Write Equations and Inequalities
    • Lecture1.5
      Use a Problem Solving Plan
    • Lecture1.6
      Use Precision and Measurement
    • Lecture1.7
      Represent Functions as Rules and Tables and Graphs
  • Solving Linear Equations
    8
    • Lecture2.1
      Find Square Roots and Compare Real Numbers
    • Lecture2.2
      Solve One-Step Equations
    • Lecture2.3
      Solve Two-Step Equations
    • Lecture2.4
      Solve Multi-Step Equations
    • Lecture2.5
      Solve Equations with Variables on Both Sides
    • Lecture2.6
      Write Ratios and Proportions
    • Lecture2.7
      Solve Proportions Using Cross Products
    • Lecture2.8
      Rewrite Equations and Formulas
  • Graphing Linear Equations and Functions
    7
    • Lecture3.1
      Plot Points in a Coordinate Plane
    • Lecture3.2
      Graph Linear Equations
    • Lecture3.3
      Graph Using Intercepts
    • Lecture3.4
      Find Slope and Rate of Change
    • Lecture3.5
      Graph Using Slope-Intercept Form
    • Lecture3.6
      Model Direct Variation
    • Lecture3.7
      Graph Linear Functions
  • Writing Linear Equations
    7
    • Lecture4.1
      Write Linear Equations in Slope-Intercept Form
    • Lecture4.2
      Use Linear Equations in Slope-Intercept Form
    • Lecture4.3
      Write Linear Equations in Point-Slope Form
    • Lecture4.4
      Write Linear Equations in Standard Form
    • Lecture4.5
      Write Equations of Parallel and Perpendicular Lines
    • Lecture4.6
      Fit a Line to Data
    • Lecture4.7
      Predict with Linear Models
  • Solving and Graphing Linear Inequalities
    7
    • Lecture5.1
      Solve Inequalities Using Addition and Subtraction
    • Lecture5.2
      Solve Inequalities Using Multiplication and Division
    • Lecture5.3
      Solve Multi-Step Inequalities
    • Lecture5.4
      Solve Compound Inequalities
    • Lecture5.5
      Solve Absolute Value Equations
    • Lecture5.6
      Solve Absolute Value Inequalities
    • Lecture5.7
      Graph Linear Inequalities in Two Variables
  • Systems of Equations and Inequalities
    6
    • Lecture6.1
      Solve Linear Systems by Graphing
    • Lecture6.2
      Solve Linear Systems by Substitution
    • Lecture6.3
      Solve Linear Systems by Adding or Subtracting
    • Lecture6.4
      Solve Linear Systems by Multiplying First
    • Lecture6.5
      Solve Special Types of Linear Systems
    • Lecture6.6
      Solve Systems of Linear Inequalities
  • Exponents and Exponential Functions
    5
    • Lecture7.1
      Apply Exponent Properties Involving Products
    • Lecture7.2
      Apply Exponent Properties Involving Quotients
    • Lecture7.3
      Define and Use Zero and Negative Exponents
    • Lecture7.4
      Write and Graph Exponential Growth Functions
    • Lecture7.5
      Write and Graph Exponential Decay Functions
  • Polynomials and Factoring
    8
    • Lecture8.1
      Add and Subtract Polynomials
    • Lecture8.2
      Multiply Polynomials
    • Lecture8.3
      Find Special Products of Polynomials
    • Lecture8.4
      Solve Polynomial Equations in Factored Form
    • Lecture8.5
      Factor x^2 + bx + c
    • Lecture8.6
      Factor ax^2 + bx + c
    • Lecture8.7
      Factor Special Products
    • Lecture8.8
      Factor Polynomials Completely
  • Quadratic Equations and Functions
    9
    • Lecture9.1
      Graph y = ax^2 + c
    • Lecture9.2
      Graph y = ax^2 + bx + c
    • Lecture9.3
      Solve Quadratic Equations by Graphing
    • Lecture9.4
      Use Square Roots to Solve Quadratic Equations
    • Lecture9.5
      Solve Quadratic Equations by Completing the Square
    • Lecture9.6
      Solve Quadratic Equations by the Quadratic Formula
    • Lecture9.7
      Solve Systems with Quadratic Equations
    • Lecture9.8
      Compare Linear, Exponential, and Quadratic Models
    • Lecture9.9
      Model Relationships
  • Data Analysis
    5
    • Lecture10.1
      Analyze Surveys and Samples
    • Lecture10.2
      Use Measures of Central Tendency and Dispersion
    • Lecture10.3
      Analyze Data
    • Lecture10.4
      Interpret Stem-and-Leaf Plots and Histograms
    • Lecture10.5
      Interpret Box-and-Whisker Plots
  • Probability
    5
    • Lecture11.1
      Find Probabilities and Odds
    • Lecture11.2
      Find Probabilities Using Permutations
    • Lecture11.3
      Find Probabilities Using Combinations
    • Lecture11.4
      Find Probabilities of Disjoint and Overlapping Events
    • Lecture11.5
      Find Probabilities of Independent and Dependent Events

About the Instructor

David David

David is a professor of mathematics education at the Aphy School. His research focuses on social and cultural factors as well as educational policies and practices that facilitate mathematics engagement, learning, and performance, especially for underserved students. Alphy School collaborates with teachers, schools, districts, and organizations to promote mathematics excellence and equity for young people.
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