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Site Overview
Problems
Problems for Stages 2 & 3 are posted here for the first three fortnights of each term.
Brainwaves
The feature solutions to the problems and a list of participant names are posted here.
Challenges
End of term challenges for Stages 2, 3 & 4 are posted here.
MOTN in Action
Participating schools are featured here.
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Brainwave 7
Orange Pyramids
How do you make a square pyramid using oranges?
What is the smallest number of oranges you need to make a square pyramid?
Describe three other ways to make larger square pyramids.
Feature Solution
The feature solution for the problem came from Year 3 from Nyngan PS
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What did you have to find out?
How to make the smallest square based pyramid using spheres and look for a pattern to make others.
What materials did you use?
Tennis balls, pen, paper, whiteboard.
How did you think? What strategies did you use? How did you solve this problem?
Made square based pyramids using tennis balls. Shared our small group ideas with the whole class. Drew diagrams on the whiteboard of our pyramids.
What answers did you come up with?
We discovered a pattern with squared numbers because we always had to make a square on the base.
Our smallest pyramid was 2 squared, 2 x2 or 4 balls in base - 5 balls in pyamid.
The next used the small pyramid with a new base 3 squared, 3 x 3 or 9 balls in base - 14 balls in pyamid.
Our next base was 4 squared, 4 x 4, 16 balls in base - 30 balls in pyamid.
Our next base was 5 squared, 5 x 5, 25 balls in base - 55 balls in pyamid.
Then we ran out of balls but drew diagrams to continue our pattern.
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Commendable contributors to the problem were:
Lachie & Bradley from Barham PS (Thank you to Emily & Riley's mum and dad for donating the oranges from their orange farm)
Lily, Mehak, Zach & Henry from Beckom PS
Daisy; Clancy; Jack & Peter; Chelsea & Chloe from Tottenham CS
Nick, Jacob, Neve & Isabelle; April, Rhys, Tyler, Teagan, Laura & Xavier; April; Lachlan, Kyle & Joel; Emma, Alex & Olivia; Luke, Ellis, Isaiah, Kyle & Sam; Zac, Esther & Jacob from Kempsey East PS
Charlotte, Sarah, Tom, Liam, Dan & Harry from Lord Howe Island CS
Jason from Carlton PS
Lauren; Paul; Connor; Claude; Bronte; Joshua; Emma from St Francis Xavier's Catholic Primary School
Olivia, Tegan, Dylan & Phebe; Andrew & Sean; Brittaney, Jessica & Megan; Robert & Cale; Sany & Zac; Kris & Stephen; Olivia, Courtney & Samantha; Jayden & Jack; Jason, Cohen & Ali; from Warrawong PS
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Solutions were also sent in by:
Prudence & Jemima; Dem, Keira & Leighton from Tooleybuc CS
Libby & Mahalia from Moama PS
Reba & Jordan from Tingha PS
Madeleine from Sanctuary Point PS
Issie & Tahlia; Ranisha & Maggie from St Michaels Collegiate School
Jono & Brando from St Thomas
Jack, Samuel & Tyler from Moama PS
Jorjia, Oliver, James, Rhiannon, Athea, Josephine, Oscar & Axl; Sasha, Megan, Grace, Marni, Hannah, Ella; Tom & Maddie from Belligen PS
Stephanie from Wyalong PS
 
Year 4/5 Tottenham CS |
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