Figuring out Proportional thinking through game play

Hey guys,

So today we did an awesome game on proportional thinking. It was called crack the ratio code by Stephanie Hicks. The goal is to find the missing factors in equivalent rations. If the ratio is 1/6 = 3/a then we need to find what a equals. To figure this out we need to figure out how many times the first top number goes into the second top number so this case how many times 1 goes into 3 which is 3. This would then let us know that we need to multiply the bottom letter by the number on the bottom. So 6 times 3 would be 18 so A would be 18. The end goal would be to find what each letter equals in order to get a phrase at the end of the page. So the end phrase in this case was math is fun, as pictured below. There are few others way we could change this up to be different depending on the class. Every student could get a different phrase that they have to decode in order to make sure that no student is cheating and copying off each other even if they don't understand it. This ensures that they ask for help when needed and that they truly understand what they are doing. If you have a weaker class or have a few students with weaker mathematical skills another idea is to split them into groups. Each group with have a phrase they have to get but it will be split between the 3 students. This phrase that is created can be a sentence just to give them more equations. To split it fairly depending on skill you could make one page with more equations and one or two other pages with less equations. This will give students about equal time to do all the equations to get the sentence together. You will know which students need more help or need less equations to do for practice and which students may need more. This will encourage them to work together to get the phrase quickly. So if the student who is weaker is still struggling the one who is stronger may take on the role of teacher to help them through it so they can finish the phrase together.  This activity makes it fun to work together to get the missing phrase because many students seem to get more competitive about doing different activities in their classroom and being the first to be done.
Hincks, S. Oct 20th, 2017. "Crack the Ratio
Code." Retrieved from my own personal library


Until next time keep thinking and remember math is fun!

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