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

Course Length


Continuing Education Credits


Will I receive a certificate of completion?

Answer: Yes, after completing the course you will receive a certificate of completion.

How long will I receive access to this Learning Path?

Answer: You will receive lifetime access

How will I gain access to the Learning Path?

Answer: An email will be sent to you after purchase with your access code and login details. If you have any questions regarding access to your learning path, email our support team at

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