rich tasks

During the 2 year OAME Grade 9 Applied Project much attention was paid to the use of rich tasks in the classroom. The participants shared many of the tasks that they used with their own students with each other. Some of these tasks have been compiled here.

Painted Cube

Border Problem

36 Fences

Nana's Paint Mix-Up

Super Bear

Taxman

Tug of War

The Painted Cube

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How many squares would be shaded around the border of a 6 x 6 grid?

What about a 100 x 100 grid?

Download Border Problem pdf

The border problem

Boaler & Humphreys, 2005

For a detailed lesson plan visited A collection of Math Lessons

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A farmer has 36 individual lengths of fence. Each is 1 m long. What is the smallest area that can be enclosed using all 36 fences?

What is the biggest area that can be enclosed?

Download

36 Fences

pdf

36 Fences

Adapted from "Experiencing School Mathematics", Boaler, 1997

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Nana's paint mix-up

Dan Meyer's 3 Act Math Problem.
For more problems from Dan Meyer visit his
bank of problems.

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Super bear

Dan Meyer's 3 Act Math Problem.
For more problems from Dan Meyer visit his
bank of problems.

In this problem students are asked:

1. If you wanted to eat enough Mini-Bears to match the Super-Bear, how many would it take? What if you ate Regular-Bears?
2. Guess as close as you can for each. Write your guesses down.
3. Give answers for each that you know are too high.
4. Give answers for each that you know are too low.

For Act 2 and 3 visit Dan Meyer's activity online.

Visit Site

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TAXMAN

adapted from Dr. Liljedahl

Download

Taxman

pdf

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Tug of war

Tug of War #1: 4 frogs on one side had a tie with 5 fairy godmothers on the other side.

Tug of War #2: 1 dragon had a tie with 2 fairy godmothers and 1 frog.

Tug of War #3: 1 dragon and 3 fairy godmothers on one side and 4 frogs on the other side.

Who would win Tug of War #3?

Download

Tug of War

pdf

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* all photos taken at the Summer Institutes and used with permission of participants