Help students strengthen their understanding of polynomial functions by connecting equations, graphs, tables, and key characteristics. This matching activity encourages students to analyze multiple representations and describe how polynomial features appear in different forms.

This resource works well in Algebra 2 as a review, small-group activity, or formative assessment.

What Students Will Do

Students will match 9 polynomial functions using four different representations:

• an equation
• a graph
• a table of values
• a set of key characteristics
  

The activity includes a variety of polynomial types:

• 2 quadratic functions
• 3 cubic functions
• 2 quartic functions
• 2 quintic functions
  

Functions are provided in a mix of factored form and standard form, giving students practice interpreting structure rather than relying on a single representation.

Concepts Reinforced

Students use and apply important polynomial vocabulary, including:

• zeros
• maximum and minimum values
• domain and range
• y-intercept
• end behavior
• leading coefficient
• polynomial degree and names (quadratic, cubic, quartic, quintic)
  

The focus is on making connections, not just identifying answers.

Why Teachers Like This Activity

• Encourages conceptual understanding of polynomial functions
• Reinforces vocabulary through meaningful use
• Works well for partner work, stations, or review
• Promotes discussion and justification of reasoning
• Pairs naturally with units on polynomial graphs and transformations
  

Grade Level

• Algebra 2
• Precalculus (as review)
  

Looking Ahead

This resource is part of a growing polynomial functions product line and may be included in a future polynomial functions bundle.