# 3 Act Math Tasks

## Real World 3 Act Math Tasks Aligned to Ontario Curriculum

**Not from Ontario? Access Common Core State Standards (CCSS)**

# MFM2P

## Measurement and Trigonometry - MT3

**Overall Expectation Description:**

solve problems involving the surface areas and volumes of three-dimensional figures, and use the imperial and metric systems of measurement;

## 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.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Super-Bear

### How many regular bears equals the super bear?

**Shared By:**

Dan Meyer

**Math Topic:**

Understand ratio concepts and use ratio reasoning to solve problems.

**Ontario Curriculum Alignment:**

**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

**Ontario Curriculum Alignment:**

**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.

**Ontario Curriculum Alignment:**

**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.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Cookie Cutter

### How many more cookies could be made with the leftover dough?

**Shared By:**

Kyle Pearce

**Math Topic:**

Finding area of composite figures; in particular, we will be problem solving using the area of a rectangle and the area of a circle.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Meatballs

### Will it overflow?

**Shared By:**

Dan Meyer

**Math Topic:**

Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## The Orange Juice Judgement

### Which should I buy?

**Shared By:**

Kyle Pearce

**Math Topic:**

Proportional reasoning, specifically unit cost and
solving proportions. Calculating the volume of a cylinder.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

No Expectations/Standards Selected

## Canstruction

### How many cans are there?

**Shared By:**

Brian Marks

**Math Topic:**

Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. Construct and compare linear, quadratic, and exponential models and solve problems.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

No Expectations/Standards Selected

## Penny Wars

### Which jar has the most pennies?

**Shared By:**

Brian Marks

**Math Topic:**

Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

No Expectations/Standards Selected