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Open Questions

These open questions are designed to support students from Kindergarten to Grade 8.

Grades K–2

Open Question #1

Choose a number between 1 and 100.
When would that number be a lot?
When would it not be a lot?

Sample answer:
I think 50 would be a lot of kids in a class, but it would not be a lot of fans at a Jets hockey game.

Open Question #2

What are some different ways you can measure a lunch box?

Sample answers:
You could measure how much it holds.
OR You could measure how wide it is.
OR You could measure how long it is.
OR You could measure how deep it is.
OR You could measure how much space the lid takes up.
OR You could measure how heavy it is.
OR You could measure how old it is.

Grades 3–5

Open Question #3

(frac{□}{4}) is just a little more than (frac{□}{3}).
What could the numerators be?

Sample answers:
(frac{5}{4}) is just a little more than (frac{3}{3}).
OR (frac{11}{4})is just a little more than (frac{8}{3}).

Open Question #4

A shape has exactly four sides that are equal in length.
What could the shape look like if it’s not a square?

Sample answers:

Grades 6–8

Open Question #5

Create a game that uses a spinner with seven different-sized sections. Decide how big each section is. Make sure that the game is fair.

Sample answer:

Two players can play this game.
The players take turns spinning the spinner. In each round, both players spin the spinner once.
Player 1 gets 1 point only when they land on A, C, or F.
Player 2 gets 2 points only when they land on B, E, or G.
Nobody gets a point if they land on D.
The first player to get to 10 points after a round wins.

Open Question #6

Choose two numbers that meet the following requirements:
their difference < their product < their quotient < their sum

Sample answer:
–(frac{1}{2}) and 3