Quarter The Cross
If you lot haven't tried "Quarter the Cross" yet amongst your students, what are you lot waiting for??? Not certain what "Quarter the Cross" is? You must terminate straightaway too read David Butler's spider web log post most it! David has created a hundred solutions to this puzzle too made them into a beautiful graphic. Seriously, terminate reading this post service too seat out reading his!
Want to know a fun fact? David plant at Adelaide University, the same academy inward Commonwealth of Australia that my husband graduated from. It's crazy how twitter makes the the world seem SO much smaller!
This year, I am pedagogy a flat called "Math Concepts." It is a flat for ninth graders who are non yet develop for Algebra 1. During the seat out semester, nosotros worked on basic equation solving, integers, fractions, too decimals. Fractions were a huge scrap for the entire class, too I bring to acknowledge that I did non realize simply how many misconceptions they had. We definitely improved inward our agreement of fractions, but I notwithstanding experience similar these students bring sooooooo many gaps.
Initially, I was scared to plough over my students this assignment because I was afraid they wouldn't live on able to figure out how to shade 1/4 of the cross. At first, they wanted to color inward 1 of the squares. We had a lovely conversation most how that wouldn't operate because that would hateful nosotros had colored solely 1/5 of the shape. Soon, a pupil suggested that nosotros could simply depict lines to separate the cross into 4 shapes. Then, nosotros could color 1 of these sections. Once my students saw what 1/4 of the cast looked like, they started coming upwardly amongst all kinds of their ain solutions. I shouldn't bring doubted what these students were capable of!
One pupil was super pleased amongst 1 of the designs she came upwardly with, too thence she kept showing it to other students. So, a few of the designs are a flake to a greater extent than similar than I had hoped for. I can't acquire also mad, though, because it's super exciting to come across my students excited most math!
Here are their solutions:
I dear that fifty-fifty the imperfect solutions plough over me insights into how my students visualize fractions. I recall the bottom left solution inward the higher upwardly film would live on a expert conversation starter amongst students!
Want this awesome canvass to role amongst your students? I downloaded it from David Butler's spider web log post. He also has a canvass that has 1 large cross for students to decorate. I printed these out, but nosotros ran out of time. I recall nosotros may become dorsum too revisit this activity afterwards Christmas Break is over because 1 of my students mentioned during the end calendar week of end semester that nosotros should practise "those cross things again." I gauge that agency this activity is a truthful keeper!
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