Modeling and Using Tools, K-5
This module explores ways in which the practice of reasoning and explaining can be used to lay a foundation for mathematical modeling. Participants consider student thinking as they engage in modeling with the Penny Jar task using physical models, numbers, tables, graphs, and formulas.
K-5 Penny-Jar – Presentation
K-5 Penny-Jar – Presentation (with embedded videos)
K-5 Penny-Jar – Resources
Modeling and Using Tools, 6-8
This module integrates a series of linear function tasks that focuses on mathematical modeling. A primary goal of the lesson is to help students make sense of mathematical situations and model them appropriately. This is achieved, in part, by prompting students to move beyond the notion that a particular representation is either right or wrong when analyzing real-world contexts.
6-8 Comparing Linear Functions – Presentation
6-8 Comparing Linear Functions – Resources
Modeling and Using Tools, 9-12
Cathy Humphreys facilitates a geometric design task intended to deepen students’ understanding of properties of quadrilaterals and scaffold their use of reasoning and proof. Students work in small groups discussing their strategies and reasoning while using a variety of tools that appear to support their engagement with and access to the mathematical ideas.
9-12 Properties of Quadrilaterals Modeling – Presentation
9-12 Properties of Quadrilaterals Modeling – Resources
Modeling and Using Tools, 3-5
The teacher implements a typical algebraic thinking task that asks students to represent a number sentence. However, the teacher launches this task in a non-traditional manner by focusing first on pictorial representations of the context with the intent of creating greater access. This unique manner of setting up the task appears to create substantive opportunities for student learning.
3-5 Representing Number Sentences – Presentation
3-5 Representing Number Sentences – Resources