# 3 Act Math Tasks

## Organized by the Common Core States Standard (CCSS) Initiative

**Not Common Core? Go to Ontario Curriculum alignment**

# 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:**