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Algebra 1 Learning Path

Learn how equations, functions, graphs, data, polynomials, quadratics, and exponential patterns describe relationships and solve problems.

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 developed
Unit 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 developed
Unit 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 developed
Unit 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 developed
Unit 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 developed

Current 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 1

Expressions, Equations, Inequalities, and Properties

Why it matters: These skills form the language and reasoning used throughout Algebra 1.

Learning progression

1

Use the structure of an expression

A-SSE.A.2

I can:

  • Identify the parts and structure of an expression
  • Recognize useful patterns
  • Rewrite an expression in an equivalent form
2

Create equations and inequalities

A-CED.A.1

I 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
3

Explain why equation-solving steps work

A-REI.A.1

I 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
4

Solve linear equations and inequalities

A-REI.B.3

I 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
Unit 2

Functions and Sequences

Why it matters: Functions describe how one quantity changes in response to another quantity.

Learning progression

1

Use and interpret function notation

F-IF.2

I 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
2

Interpret graphs and tables

F-IF.4

I 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
3

Write and use sequences

F-BF.2

I 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.