# 3 Act Math Tasks

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

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

## MCF3M

**Overall Expectation Description:**

MCF3M – Functions and Applications

Grade 11 University/College PreparationThis course introduces basic features of the function by extending students’ experiences with quadratic relations. It focuses on quadratic, trigonometric, and exponential functions and their use in modelling real-world situations. Students will represent functions numerically, graphically, and algebraically; simplify expressions; solve equations; and solve problems relating to applications. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

Prerequisite: Principles of Mathematics, Grade 10, Academic, or Foundations of

Mathematics, Grade 10, Applied

## Related 3 Act Math Tasks:

## 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

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Laying Sod

### How many pieces of sod will cover the garden?

**Shared By:**

Jon Orr

**Math Topic:**

Trigonometry, area, measurement

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Money Money

### When will the pennies overtake the $10. Which option would you choose after 20 days.

**Shared By:**

Jon Orr

**Math Topic:**

Exponential growth

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Falling Rocks

### How deep is the cave?

**Shared By:**

Dan Meyer

**Math Topic:**

Create equations that describe numbers or relationships. Build a function that models a relationship between two quantities. Construct and compare linear, quadratic, and exponential models and solve problems.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Falling Glowsticks

### How deep is the cave?

**Shared By:**

Dan Meyer

**Math Topic:**

Create equations that describe numbers or relationships. Build a function that models a relationship between two quantities. Construct and compare linear, quadratic, and exponential models and solve problems.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## World Record Airbag

### How fast was he flying when he hit the bag?

**Shared By:**

Dan Meyer

**Math Topic:**

Create equations that describe numbers or relationships. Build a function that models a relationship between two quantities. Construct and compare linear, quadratic, and exponential models and solve problems.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Will It Hit The Hoop?

### Will the ball go in the hoop?

**Shared By:**

Dan Meyer

**Math Topic:**

Build new functions from existing functions. In particular, Quadratic Functions.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Incredible Shrinking Dollar

### What will the dollar bill look like after getting reduced that many times?

**Shared By:**

Dan Meyer

**Math Topic:**

Construct and compare linear, quadratic, and exponential models and solve problems.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

## Domino Skyscraper

### How many dominoes would it take to knock over a skyscraper-sized domino?

**Shared By:**

Dan Meyer

**Math Topic:**

Construct and compare linear, quadratic, and exponential models and solve problems.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**