- K-12 Curriculum
- 0 (Registered)
-

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
-
Expressions, Equations, and Functions
7-
Lecture1.1Evaluate Expressions
-
Lecture1.2Apply Order of Operations
-
Lecture1.3Write Expressions
-
Lecture1.4Write Equations and Inequalities
-
Lecture1.5Use a Problem Solving Plan
-
Lecture1.6Use Precision and Measurement
-
Lecture1.7Represent Functions as Rules and Tables and Graphs
-
-
Solving Linear Equations
8-
Lecture2.1Find Square Roots and Compare Real Numbers
-
Lecture2.2Solve One-Step Equations
-
Lecture2.3Solve Two-Step Equations
-
Lecture2.4Solve Multi-Step Equations
-
Lecture2.5Solve Equations with Variables on Both Sides
-
Lecture2.6Write Ratios and Proportions
-
Lecture2.7Solve Proportions Using Cross Products
-
Lecture2.8Rewrite Equations and Formulas
-
-
Graphing Linear Equations and Functions
7-
Lecture3.1Plot Points in a Coordinate Plane
-
Lecture3.2Graph Linear Equations
-
Lecture3.3Graph Using Intercepts
-
Lecture3.4Find Slope and Rate of Change
-
Lecture3.5Graph Using Slope-Intercept Form
-
Lecture3.6Model Direct Variation
-
Lecture3.7Graph Linear Functions
-
-
Writing Linear Equations
7-
Lecture4.1Write Linear Equations in Slope-Intercept Form
-
Lecture4.2Use Linear Equations in Slope-Intercept Form
-
Lecture4.3Write Linear Equations in Point-Slope Form
-
Lecture4.4Write Linear Equations in Standard Form
-
Lecture4.5Write Equations of Parallel and Perpendicular Lines
-
Lecture4.6Fit a Line to Data
-
Lecture4.7Predict with Linear Models
-
-
Solving and Graphing Linear Inequalities
7-
Lecture5.1Solve Inequalities Using Addition and Subtraction
-
Lecture5.2Solve Inequalities Using Multiplication and Division
-
Lecture5.3Solve Multi-Step Inequalities
-
Lecture5.4Solve Compound Inequalities
-
Lecture5.5Solve Absolute Value Equations
-
Lecture5.6Solve Absolute Value Inequalities
-
Lecture5.7Graph Linear Inequalities in Two Variables
-
-
Systems of Equations and Inequalities
6-
Lecture6.1Solve Linear Systems by Graphing
-
Lecture6.2Solve Linear Systems by Substitution
-
Lecture6.3Solve Linear Systems by Adding or Subtracting
-
Lecture6.4Solve Linear Systems by Multiplying First
-
Lecture6.5Solve Special Types of Linear Systems
-
Lecture6.6Solve Systems of Linear Inequalities
-
-
Exponents and Exponential Functions
5-
Lecture7.1Apply Exponent Properties Involving Products
-
Lecture7.2Apply Exponent Properties Involving Quotients
-
Lecture7.3Define and Use Zero and Negative Exponents
-
Lecture7.4Write and Graph Exponential Growth Functions
-
Lecture7.5Write and Graph Exponential Decay Functions
-
-
Polynomials and Factoring
8-
Lecture8.1Add and Subtract Polynomials
-
Lecture8.2Multiply Polynomials
-
Lecture8.3Find Special Products of Polynomials
-
Lecture8.4Solve Polynomial Equations in Factored Form
-
Lecture8.5Factor x^2 + bx + c
-
Lecture8.6Factor ax^2 + bx + c
-
Lecture8.7Factor Special Products
-
Lecture8.8Factor Polynomials Completely
-
-
Quadratic Equations and Functions
9-
Lecture9.1Graph y = ax^2 + c
-
Lecture9.2Graph y = ax^2 + bx + c
-
Lecture9.3Solve Quadratic Equations by Graphing
-
Lecture9.4Use Square Roots to Solve Quadratic Equations
-
Lecture9.5Solve Quadratic Equations by Completing the Square
-
Lecture9.6Solve Quadratic Equations by the Quadratic Formula
-
Lecture9.7Solve Systems with Quadratic Equations
-
Lecture9.8Compare Linear, Exponential, and Quadratic Models
-
Lecture9.9Model Relationships
-
-
Data Analysis
5-
Lecture10.1Analyze Surveys and Samples
-
Lecture10.2Use Measures of Central Tendency and Dispersion
-
Lecture10.3Analyze Data
-
Lecture10.4Interpret Stem-and-Leaf Plots and Histograms
-
Lecture10.5Interpret Box-and-Whisker Plots
-
-
Probability
5-
Lecture11.1Find Probabilities and Odds
-
Lecture11.2Find Probabilities Using Permutations
-
Lecture11.3Find Probabilities Using Combinations
-
Lecture11.4Find Probabilities of Disjoint and Overlapping Events
-
Lecture11.5Find Probabilities of Independent and Dependent Events
-
About the Instructor
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.
0.0
0 rating
5 stars
0%
4 stars
0%
3 stars
0%
2 stars
0%
1 star
0%