3 Act Math Tasks

Organized by the Common Core States Standard (CCSS) Initiative


Geometry

G-GMD.3

Overall Expectation Description:

G-GMD.3 – High School Geometry – Geometric Measurement & Dimension

Explain volume formulas and use them to solve problems.

Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.


Related 3 Act Math Tasks:

Hot Coffee

How many gallons fit into that coffee cup?



Shared By:
Dan Meyer

Math Topic:
Understand ratio concepts and use ratio reasoning to solve problems.
Apply geometric concepts in modeling situations.
Explain volume formulas and use them to solve problems.

Common Core State Standard Alignment:

Big Nickel

Would it be cheaper to build it using nickels?



Shared By:
Andrew Stadel
Cathy Yenca
Dan Meyer
Kyle Pearce

Math Topic:
Proportional Reasoning, Volume, Problem Solving

Common Core State Standard Alignment:

Mix, Then Spray

Where should I stop filling?



Shared By:
Kyle Pearce

Math Topic:
3D Measurement, Volume of a Cylinder, Volume of a Cone, Composite Figures

Common Core State Standard Alignment:

Cones and Spheres

How many cones does it take to fill the sphere?



Shared By:
Kyle Pearce

Math Topic:
3D Measurement: Volume/Capacity of Prisms, Pyramids and Spheres.

Common Core State Standard Alignment:

Prisms and Pyramids

How many pyramids does it take to fill the prism?



Shared By:
Kyle Pearce

Math Topic:
3D Measurement: Volume/Capacity of Prisms and Pyramids.

Common Core State Standard Alignment:

Mustard Mayhem!

How many bottles of mustard was used?



Shared By:
Kyle Pearce

Math Topic:
Students will use the volume of a cylinder to determine how much mustard can fit in one container and proportional reasoning to determine how many bottles it will take.

Common Core State Standard Alignment:

Water Tank

How long will it take to fill up the water tank?



Shared By:
Dan Meyer

Math Topic:
Explain volume formulas and use them to solve problems. Visualize relationships between two-dimensional and three-dimensional objects.

Common Core State Standard Alignment:

You Pour, I Choose

Which glass contains more soda?



Shared By:
Dan Meyer

Math Topic:
Explain volume formulas and use them to solve problems.

Common Core State Standard Alignment:


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