Interactive, Graphic Organizer/Worksheet, Lesson Plan, Table/Graph/Chart, Manual


This highly engaging task encourages students to use mathematical modeling to predict how many pennies it will take to cover a large circle.  Students begin by using simpler problems (i.e., smaller circles) to generalize using a linear, quadratic, or exponential function.Mathematically:*Requires students to confront the question of whether a model's predictions are reasonable (part of the modeling cycle)*Sets up a situation with many avenues for mathematical investigation*Uses technology efficiently to support the mathematicsIn the classroom:*Allows for student collaboration and discussion*Provides a platform for the teacher to view students' work online*Allows teacher to filter results, e.g., to see which students revised their models


  • Mathematics > General
  • Mathematics > Algebra
  • Mathematics > Applied Mathematics
  • Mathematics > Equations
  • Mathematics > Estimation
  • Mathematics > Geometry
  • Mathematics > Graphing
  • Mathematics > Measurement
  • Mathematics > Number Sense & Operations
  • Mathematics > Patterns
  • Mathematics > Problem Solving

Education Levels:

  • Grade 6
  • Grade 7
  • Grade 8
  • Grade 9
  • Grade 10
  • Grade 11
  • Grade 12


activity task functions modeling linear quadratic exponential algebra



Access Privileges:

Public - Available to anyone

License Deed:

Creative Commons Attribution 3.0
Update Standards?

CCSS.Math.Content.HSF-LE.A.2: Common Core State Standards for Mathematics

Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
Curriki Rating
'P' - This is a trusted Partner resource
'P' - This is a trusted Partner resource
Janet Pinto
October 20, 2015

Non-profit Tax ID # 203478467