LEARN NC

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

Advanced Functions and Modeling

Goal 1: Data Analysis and Probability - The learner will analyze data and apply probability concepts to solve problems.

Objective 1.03. Use theoretical and experimental probability to model and solve problems.

  • Use addition and multiplication principles.
  • Calculate and apply permutations and combinations.
  • Create and use simulations for probability models.
  • Find expected values and determine fairness.
  • Identify and use discrete random variables to solve problems.
  • Apply the Binomial Theorem.

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

Modeling Orbital Debris Problems
Students examine the problem of space pollution caused by human-made debris in orbit to develop an understanding of functions and modeling. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Explorations with Chance
This lesson, from Illuminations, gives students additional experience with the concept of probability. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Birthday Paradox
This Illuminations lesson demonstrates the birthday paradox (only 23 random people are needed in a group to have even odds that two people have the same birthday), using it as a springboard into a unit on probability. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics