Number Frames, Arrays, and Area Models Using Apprentice & Expert Tasks



In this course you'll experience and learn about how to identify and model the context and constraints in word problems using Number Frames, Arrays, & Area Models to model a story using Apprentice Tasks and Expert Tasks.


Learning Path Outcomes: 
  • Identify and model the context and constraints using number frames, arrays and area models;
  • Deepen your understanding of the relationships between apprentice and expert tasks; and
  • Attend to the behavior of numbers and structures in a task using Standard for Mathematical Practice #7 (look for and make use of structure).

Silicon Valley Mathematics Initiative

A comprehensive and intensive mathematics professional development initiative for school districts and charter schools.

Additional information


2 hours


K-12 Educators

Continuing Education Credits

Act 48 (Pennsylvania), CTLE (New York)