Reflection: Modeling Solving Problems involving Volumes of Solids - Section 1: Heavy Modeling

 

As I modeled problems for students I realized how many expert strategies I use that I never would have thought to articulate to students. But as I repeatedly demonstrated problems, I found myself modeling these strategies over and over again. One such strategy is using formulas with their knowns and unknowns to devise the overall plan for attacking a problem. Another strategy was changing perspectives when dealing with 3-D figures. For example, I found myself writing "Top View" or "View of Base" or "Side View" quite a bit. Another strategy is exploding diagrams. Sometimes when we try to draw 3-D figures and label everything on the diagram, it ends up being a visual hindrance rather than a visual aid. Exploding just the part of the diagram you want to focus is something else I found myself modeling repeatedly. As a final example, delaying substituting numbers until the end allows us to solve things much more efficiently.

  Expert Strategies
  Modeling: Expert Strategies
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Solving Problems involving Volumes of Solids

Unit 11: Measurement and Dimension
Lesson 6 of 6

Objective: SWBAT solve complex problems involving volumes of prisms, cylinders, pyramids, cones, and spheres.

Big Idea: This is where it all comes together...In this lesson, students use skills they've gained over the course of the year to solve complex and challenging problems.

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