My son came up with a pretty clever solution – he explains that solution here:
After he solved the problem I had him look at the problem’s twitter thread and find a solution he liked. He chose the solution from Brenda Meshejian. This is the second time we’ve looked at one of Meshejian’s soluitons (and hopefully I’ve pronounced her name correctly this time!).
I started this set of projects because I think the combination of thinking through Shearer’s problems and then explaining a solution from the twitter thread is a great way for kids to learn about geometry. So far this idea has been a really fun way for my son to explore some fun math during the lock down.
One of the really fun things about using Catriona Shearer’s puzzles with my son is having him explain neat solutions from twitter threads. His work with Andriana’s solution today is a great example of the educational value that Catriona’s twitter threads have for kids!
We’ve been having a ton of fun for the last few weeks working through some of Catriona Shearer’s amazing puzzles. Last week I saw her share an puzzle from 2018 when she was asked for some of her favorites. Here’s that puzzle:
This solution was similar to how my son solved the problem, but that gave him a nice opportunity to understand the problem a bit better. Here’s his explanation of Singh’s solution:
I’m really happy that Catriona shared this problem again – it is terrific. It was also great to be reminded how long she’s been sharing these puzzles – it is going to be a long time until we get through all of them 🙂
Here’s what my son had to say about these solutions:
Finally, I showed my son how to see that the triangles in the picture were, indeed, 30-60-90 triangles. This is a little bit of algebra, but I thought it would be important for him to see why those triangles were there.
I really love this problem and was happy that the thread had some great geometric solutions. Even though my son wasn’t able to get this one solved all the way, I think he learned a lot working through it.
This is our 10th project in this series. It has been really fun to have my son solve the puzzles and then explain a solution from the twitter thread. I’m really enjoying reviewing geometry with my younger son using Catriona’s ideas!
When I started sharing Catriona Shearer’s puzzles with my younger son I was excited for him try out the challenges and hopefully learn a bit from the twitter threads. I also hoped that seeing some of the clever solutions might inspired him to come of with a clever solution of his own. Tonight was that night!
My son’s solution was pretty heavy on computation, but he realized that there was an easier approach after he finished explaining the computation. That realization was nice to see!
The solution we looked at from the problem’s twitter thread was from Amerish G S. This solution was similar to what my son had done, but different enough that he learned a bit talking through it. That also make me happy – I love how great the twitter threads are following Shearer’s puzzles!
I’ve been sharing Catriona Shearer’s geometry puzzles with my younger son for a few days now. Each day I have him look at a puzzle and either present his solution if he can solve it, or just talk about what he thought about the puzzle if he can’t solve it all the way.
For today’s project we jused the puzzle Shearer posted today: