# 3 Act Math Tasks

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

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

## MCR3U

**Overall Expectation Description:**

MCR3U – Functions

Grade 11 University PreparationThis course introduces the mathematical concept of the function by extending students’ experiences with linear and quadratic relations. Students will investigate properties of discrete and continuous functions, including trigonometric and exponential functions; represent functions numerically, algebraically, and graphically; solve problems involving

applications of functions; investigate inverse functions; and develop facility in determining equivalent algebraic expressions. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

Prerequisite:Principles of Mathematics, Grade 10, Academic

## Related 3 Act Math Tasks:

## 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:**

## Joulies

### Do you think Joulies will work as advertised?

**Shared By:**

Dan Meyer

**Math Topic:**

Use functions to model relationships between quantities.

**Ontario Curriculum Alignment:**

**Common Core State Standard Alignment:**

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