Continue the journey
Algebra 1 Learning Path
Learn how equations, functions, graphs, data, polynomials, quadratics, and exponential patterns describe relationships and solve problems.
f(3) = 7y = mx + bx² + 5x + 6
The complete course
Seven Units, One Learning Path
All units are visible now. Resources for later units will be added as the course progresses.
Unit 1Available now
Expressions, Equations, Inequalities, and Properties
Rewrite expressions, create and solve equations and inequalities, and explain why each solving step works.
- Expression structure
- Linear equations
- Linear inequalities
- Absolute value
Explore this unit →Unit 2Available now
Functions and Sequences
Use function notation, interpret graphs and tables, and represent arithmetic sequences with recursive and explicit rules.
- Function notation
- Inputs and outputs
- Graph features
- Arithmetic sequences
Explore this unit →Unit 3Coming later
Linear Functions and Systems
Create and graph linear relationships, solve systems, and represent solutions to linear inequalities.
- Linear equations
- Systems of equations
- Linear inequalities
- Systems of inequalities
Resources are being developedUnit 4Coming later
Statistics
Compare data sets, interpret two-way tables, and describe relationships between quantitative variables.
- Center and spread
- Two-way tables
- Relative frequency
- Scatter plots
Resources are being developedUnit 5Coming later
Exponents, Properties, and Polynomials
Extend exponent rules and add, subtract, and multiply polynomial expressions.
- Exponent properties
- Rational exponents
- Polynomial vocabulary
- Polynomial operations
Resources are being developedUnit 6Coming later
Quadratics
Graph quadratic functions, identify important features, factor expressions, and solve quadratic equations in several ways.
- Quadratic graphs
- Factoring
- Completing the square
- Quadratic formula
Resources are being developedUnit 7Coming later
Exponential Functions
Graph and interpret exponential growth and decay and connect exponential functions to geometric sequences.
- Growth and decay
- Graph features
- Exponential models
- Geometric sequences
Resources are being developedCurrent learning sequence
Units 1 and 2
Each target follows the course standards. Existing website resources are linked only where they directly support the skill.
Unit 1Expressions, Equations, Inequalities, and Properties
Why it matters: These skills form the language and reasoning used throughout Algebra 1.
Learning progression
1Use the structure of an expression
A-SSE.A.2I can:
- Identify the parts and structure of an expression
- Recognize useful patterns
- Rewrite an expression in an equivalent form
2Create equations and inequalities
A-CED.A.1I can:
- Translate a real-world situation into an equation or inequality with one variable
- Include problems involving absolute value
- Use equations from linear, quadratic, simple rational, and exponential functions
- Use the equation or inequality to solve the problem
3Explain why equation-solving steps work
A-REI.A.1I can:
- Start by assuming the original equation has a solution
- Connect each step to the equality from the previous step
- Use properties of equality to justify each change
- Construct a clear argument explaining the solution method
4Solve linear equations and inequalities
A-REI.B.3I can:
- Solve linear equations in one variable
- Solve linear inequalities in one variable
- Solve equations that have coefficients represented by letters
- Check and interpret the solution
Supporting standards
A-SSE.1aA-CED.4A-REI.3.1
Helpful resources already available
Use these pages when they match the skill you are studying.
Unit 2Functions and Sequences
Why it matters: Functions describe how one quantity changes in response to another quantity.
Learning progression
1Use and interpret function notation
F-IF.2I can:
- Use function notation such as f(x)
- Evaluate a function for an input in its domain
- Interpret function notation within a real-world context
2Interpret graphs and tables
F-IF.4I can:
- Interpret intercepts
- Identify where a function is increasing, decreasing, positive, or negative
- Identify relative maximums and minimums
- Recognize symmetry, end behavior, and periodicity
- Sketch a graph from a verbal description of its important features
3Write and use sequences
F-BF.2I can:
- Write an arithmetic sequence recursively
- Write an arithmetic sequence with an explicit formula
- Use sequences to model situations
- Translate between recursive and explicit forms
- Study geometric sequences here or later in Unit 7
Supporting standards
N-Q.1N-Q.2N-Q.3A-SSE.1aA-SSE.2A-SSE.3A-CED.1A-CED.2A-CED.3A-CED.4A-REI.10F-IF.1F-IF.3F-IF.5F-IF.6F-IF.7F-IF.9F-BF.1aF-BF.1bF-BF.4aF-LE.1aF-LE.1bF-LE.1cF-LE.2F-LE.5
Sequence note: Arithmetic sequences are assessed in Unit 2. Geometric sequences may be introduced here or taught in Unit 7, where they are assessed.
Helpful resources already available
Use these pages when they match the skill you are studying.