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This resource is a Dan Meyer's 3 Acts. The information about the Apple Mothership is provided to elicit student curiousity around how many people per square foot can fit in the space. Students will request information they need to apply volume, density and proportional reasoning in order to answer the questions that are generated. 

This lesson unit is intended to help you assess how well students solve problems involving measurement and in particular, to identify and help students who have difficulty:
Computing measurements using formulas.
Decomposing compound shapes into simpler ones.
Using right triangles and their properties to solve real-world problems.

These three parts are intended to support students in making connections between 2 dimensional and 3 dimensional objects, especially how scaling changes these objects and how we can carefully partition objects in order to make relationships between two otherwise different geometric shapes.

Website that has a variety of real world images concerning volume of different containers in comparison.

This lesson is intended to help you assess whether students recognize relationships of direct proportion and how well they solve problems that involve proportional reasoning. In particular, it is intended to help you identify those students who:
* Use inappropriate additive strategies in scaling problems, which have a multiplicative structure.
* Rely on piecemeal and inefficient strategies such as doubling, halving, and decomposition and have not developed a single multiplier strategy for solving proportionality problems.
* See multiplication as making numbers bigger and division as making numbers smaller.

This lesson unit is intended to help you assess how well students are able to solve problems involving area and volume, and in particular, to help you identify and assist students who have difficulties with:
Computing perimeters, areas, and volumes using formulas.
Finding the relationships between perimeters, areas, and volumes of shapes after scaling.

This lesson unit is intended to help you assess how well students are able to visualize two-dimensional cross-sections of representations of 3-dimensional objects. In particular, the lesson will help you identify and help students who have difficulties recognizing and drawing 2-dimensional cross-sections at different points along a plane of a representation of a 3-dimensional object.

This Dan Meyer 3 Acts elicits student curiosity around how many meatballs it would take to overflow the sauce in the pot. Students request information around diameters and heights to determine volumes of 3-D objects that could model meatballs (sphere) and a saucepan (cylinder). 

This lesson follows the structure of Dan Meyer's 3 Acts. The activity is structured to elicit student questions around how much vinger/water is needed in a spray bottle, and can be determined by modeling with composite 3-D objects, specifically cylinders and cones. The key to success in this activity is supporting student curiosity for answering the problem and providing the skills needed to find the information they need within the group (from their peers and resources).  

This lesson follows the structure of Dan Meyer's 3 Acts. The image is provided to elicit student curiosity around how much mustard is being used. Students will need to gather information about volume, specifically related to cylinders. Throughout the course of the lesson, students will also need to apply proportional reasoning.

Activity that requires students to apply volume and density to analyze a real world situation.

Task that models real world situations using spheres and cylinders.