# Learning about ratios and proportions

Today Otter explored ratios and proportions using ETA’s Hands-On Math Standards book.

Photograph by Otter!

I handed Otter the bag of plastic square tiles and told him to pretend that each tile measures 1 square foot. I then asked him to build a pretend “porch” in the shape of a rectangle measuring 45 square feet. I told him it takes 3 pints of paint to paint his new porch.

I then asked him to figure out how much paint he would need for just 15 square feet. This is how he found the answer.

Another photo by Otter!

After that I asked him how much paint would he need if the porch measured 75 square feet! He figured he would need 5 pints.

Yep, another picture by Otter

After this activity and a worksheet from the ETA book we talked about changing proportions, like doubling a recipe for cookies. Proportions are now a crystal clear concept instead of a math term to be easily forgotten!

We’ll be doing a lot of hands-on math activities this year to really get ready for algebra next year. You can read about some of the resources I’m using this year in a previous post here.