3 Act Math Tasks

Real World 3 Act Math Tasks Aligned to Ontario Curriculum


MCF3M

Overall Expectation Description:

MCF3M – Functions and Applications
Grade 11 University/College Preparation

This 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:

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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