3 Act Math Tasks

Real World 3 Act Math Tasks Aligned to Ontario Curriculum


MCR3U

Overall Expectation Description:

MCR3U – Functions
Grade 11 University Preparation

This 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:

Gmail Tap

How does that work, anyway? How many taps would the letter "z" take?



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:


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