Throwback Thursday – Bar Model Solutions – by Students

Over the summer, we thought it would be fun to run some of the most popular posts from the past. It’s always interesting to see how students’ minds work. When I re-read a post from the past I always take away something different because I am in a different place with my own experience. Perhaps you are as well!

Bar Model Solutions – by Students!

Originally published 4/12/2016

After the post on Assessing Bar Model Solutions went up, Beth Curran sent a message: “We just did that problem!” She agreed to share some student work:

boys and girls 2

boys and girls 3

boys and girls 5

And when the students didn’t draw a model:

boys and girls 4

I see this as a comparison problem:

thinking blocks

5 units -> 125 students
1 unit -> 125 ÷ 5 = 25
7 units for boys -> 7 x 25 = 175 boys in all

(That’s the Thinking Blocks Model Drawing tool that allows you to insert your own word problems and solve – or you can use the pre-made questions!)


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About Cassy

Passionate about Singapore Math + Teacher Trainer and Coach + Treasure Hunter + Learner. Answer to the ultimate question? 42.


  1. This is great resource. Our school has just converted to Singapore math. I found out about this site after learning your name in the school’s letter. The level of thinking involves in solving these maths, especially the word problems, can even make the adult sweat! One such problem was, though I solved it and showed it to my son, I still don’t know if that was the right way to solve it, or is there a more proper way to solve. “How many 3 digits numbers are there that has a remainder of 7 when divided by 9 and remainder of 2 when divided by 5”, from grade 5 challenging word problem. Appreciate if you could shed a light on this. Thanks!

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