The other day we had the opportunity to host our Grade 8 students in the Senior School to showcase what Grade 9 math is all about. To give them a taste of linear systems, John Doma (@Domanator19) and I created a sweet 3-Act Math Task.
Act 1:
Act 2:
Act 3:
Though I have used several 3-Act Math tasks in my MPM1D class, this seems to have been one that created the most opportunities for different solutions. Though unintentional, the data that we provided in Act 2 allowed for multiple solutions. This lead to the majority of students being engaged in the activity and willing to contribute their ideas (maybe it was also because we gave them a small box of Smarties to use in their problem solving!).
Here are some of the ideas that students brought forward:
a) 2 cm = 215 Smarties. Therefore 1 cm = 107.5 and so 15 cm = 15(107.5) = 1612.5 Smarties
b) 5 cm = 485 Smarties. Therefore 15 cm = 3(485) = 1455 Smarties
c) 11 cm = 1147 Smarties. Therefore 15 cm = 11 cm + 2 cm + 2 cm = 1577 Smarties
My take away from this activity was making sure to truly think about what data to provided. Going forward, I will definitely be reconsidering the data I do provide in Act 2 taking into consideration multiple pathways to creating an answer.
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