Proportional Reasoning in addition to Peach Jam

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A monthly REAL WORLD math weblog link-up hosted by


I dearest when I tin connect existent life materials to my students' math education.  A few weeks ago, I was lucky plenty to hold out able to give a really fun existent Blue Planet math lesson to a few middle schoolhouse students who I was doing summertime tutoring with.  We had finished working on proportional reasoning problems as well as their rides had non even as well as then arrived.  A few days prior to this session I had purchased a bunch of peaches as well as i of my tutoring students asked if he could accept one.  He noticed that several of them had developed soft spots as well as I actually didn't desire to throw out all those peaches as well as then I made a spur of the 2d determination to brand peach jam.  I had never made it earlier as well as did non accept a recipe as well as then I did a quick online search as well as flora this. 
We used this recipe from food.com

It seemed similar to a greater extent than peaches than I had but I had all the ingredients.  My ii students seemed really concerned that it wouldn't move without plenty peaches.  Little did they know that nosotros were virtually to acquire majorly involved inwards a proportional reasoning problem.  A few telephone calls to parents as well as they were both granted permission to remain an extra threescore minutes as well as then nosotros got correct to work.
Peaches virtually to acquire bad!

We peeled, as well as diced the peaches as well as did non follow the recipe where it says to permit them sit down an threescore minutes as well as it seems to accept come upwards out fine!
After all the peaches were cutting up, nosotros had 6 cups.  It was overnice that it was a overnice whole number, because these kids are only getting the hang of proportional thinking.  If these kids were a fleck to a greater extent than advanced, I would accept loved to run into it hold out 6.25 cups or unopen to other discover involving a fraction or decimal.  

We started trying to figure out how to alter the recipe.  The recipe calls for 10 cups of peaches as well as nosotros were brusk of that amount.  I asked them to brand an gauge virtually how much carbohydrate nosotros would need.  They noticed that nosotros had a piffling to a greater extent than than one-half of the peaches nosotros were supposed to as well as would thus demand a piffling to a greater extent than than one-half of the sugar.  Because jam tin hold out super tricky as well as volition ofttimes non fix of the correct proportions of ingredients are non used, I explained to them that nosotros would actually demand to figure out the correct amount.  The gauge ended upwards existence a expert jumping off shout for for them along alongside the fact that vi tenths is a friendly discover to move with.  They rapidly figured out nosotros needed 3 cups of carbohydrate as well as virtually 1.75 teaspoons of lemon juice.  

They were as well as then tickled that they used what they had been learning inwards our tutoring session to brand this jam.  Of course, I could non halt at that spot because these kids likewise demand to review unopen to multiplicative reasoning concepts as well as then I jotted downwards a few notes as well as sent them habitation alongside the challenge to figure out how much it toll to brand each jar.  

Here is the data I gave them

Peaches were $0.77 per pound.  We used 3 pounds
Sugar I bought a 10 lb handbag for $3.99.  We used 3 cups.
Lemon Juice 99 cents for 200 mL
Canning lids $1.99 for 12.  We used 5.

They had to role multiplication, division, mensuration conversion as well as add-on to solve this problem.  Multi-step as well as multiple ways to approach this!  We had the best give-and-take a calendar week afterwards when they returned alongside their costs per jar.  They got the sweetness vantage of a outrage of jam as well as I got kids thinking virtually math as well as non only doing it which actually is the best vantage of all!

How produce you lot help your kids run into that Math IS Real Life?  Please answer inwards the comments below or caput on over to the linky as well as depository fiscal establishment fit out other teachers' ideas!





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