# 3 Act Math Tasks

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

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

# MFM1P

## Linear Relations - LR3

**Overall Expectation Description:**

demonstrate an understanding of constant rate of change and its connection to linear relations;

## Related 3 Act Math Tasks:

## Placing Toothpicks

### How many toothpicks are in the 6th figure? ... the 11th figure?

**Shared By:**

Justin Levack

Kyle Pearce

**Math Topic:**

Patterning, Proportional / Direct Variation Linear Relations

**Ontario Curriculum Alignment:**

- Grade 6 [Patterning and Algebra - PA1, Patterning and Algebra - PA2]
- Grade 7 [Patterning and Algebra - PA1, Patterning and Algebra - PA2]
- Grade 8 [Patterning and Algebra - PA1, Patterning and Algebra - PA2]
- MAT1L
- MAT2L
- MFM1P [Linear Relations - LR1, Linear Relations - LR2, Linear Relations - LR3, Number Sense and Algebra - NA1]
- MPM1D [LR2, Number Sense and Algebra - NA2]

**Common Core State Standard Alignment:**

## Camera Case & Pads of Paper Weigh In

### How much does the camera case weigh?

**Shared By:**

Justin Levack

Kyle Pearce

**Math Topic:**

Partial variation, initial value and the rate of change of linear relations, finding the equation of a line given two points.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Tech Weigh In

### How much does one device weigh?

**Shared By:**

Justin Levack

Kyle Pearce

**Math Topic:**

Direct and partial variation, initial value and the rate of change of linear relations, equations of lines.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Crazy Taxi

### How much will it cost to travel 30 km?

**Shared By:**

Jon Orr

**Math Topic:**

Initial Value, Rate of Change, Linear Relations, Partial Variation

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Flaps!

### How fast is the hummingbird flapping its wings?

**Shared By:**

Jon Orr

**Math Topic:**

Rates, Rate of Change, Slope, Speed, Linear Relations

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## The Detention Buyout

### Which administrator should each student buy-out from?

**Shared By:**

Kyle Pearce

**Math Topic:**

Model and solve problems involving the intersection of two straight lines.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Wooden Walker

### What are the dimensions of the ramp in the middle?

**Shared By:**

Jon Orr

**Math Topic:**

Rate of Change, Slope of a Line

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Water Balloon Mishap

### How long until it explodes?

**Shared By:**

Jon Orr

**Math Topic:**

Rate, Linear Relations and Direct Variation

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Ditch Diggers

### Guess whether or not the two ditch diggers will meet.

**Shared By:**

Dan Meyer

**Math Topic:**

Analyze and solve linear equations and pairs of simultaneous linear equations.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**