LEARN NC

K–12 teaching and learning · from the UNC School of Education

Discrete Mathematics

Goal 3: Geometry and Measurement - The learner will describe and use recursively-defined relationships to solve problems.

Objective 3.01. Use recursion to model and solve problems.

  • Find the sum of a finite sequence.
  • Find the sum of an infinite sequence.
  • Determine whether a given series converges or diverges.
  • Write explicit definitions using iterative processes, including finite differences and arithmetic and geometric formulas.
  • Verify an explicit definition with inductive proof.

Additional related resources

We’re in the process of aligning our content for students to the Standard Course of Study. As we do, you’ll find it here.

General resources

Aligned lesson plans

Resources on the web

Numerical Analysis
Students use iteration, recursion, and algebra to model and analyze a changing fish population. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
The Devil and Daniel Webster
This interdisciplinary lesson allows students to examine a recursive sequence in a game between the Devil and Daniel Webster. Illuminations provides an activity sheet, solutions for the activity, a link to a helpful spreadsheet, and detailed instructions... (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: Illuminations