Friday, February 6, 2015

Unit 9: Relate Fractions, Decimals, and Money

Modeling & Recording Tenths and Hundredths as Fractions and Decimals
To begin this unit we observed these models of tenths and hundredths.
We talked about why tenths are larger than hundredths, because the whole is only broken into ten parts versus the whole being broken into a hundred parts. The more parts the whole is broken into, the smaller the parts are. Students also were able to conclude that 10 hundredths = 1 tenth.

Next students were given the following problem.
You can see that this student below represented 7/10 as a model, fraction, and decimal.
This student did the same but also showed 7/10 on a number line.
Another example
I thought that it was really neat that this student labeled each part of their model.
Since students also have to understand decimals on a number line, we labeled 7/10 on a number line as well.
Some more examples of problems from this lesson.

Relating Fractions, Decimals, and Money
During this lesson, students learned how money is related to decimals.  We talked about the fact that there are 100 pennies in a whole dollar, therefore pennies represent hundredths. We also discussed that there are 10 dimes in a whole dollar, so dimes represent tenths. Please see the anchor chart below that I created to help students see the connection between decimals and money.
This is how we began this lesson.
Then students did some exploring with pretend money and the relationship with decimals.

How Can You Rename Tenths as Hundredths and Hundredths as Tenths?

How Can You Add Fractions when the Deniminators are 10 or 100?
We began with this problem. 
Students were able to figure out that it would be helpful to change 3/10 into 30/100 to be able to add the fractions.
Students then had some fun playing adding tenths and hundredths dominoes.

What Strategies Can You Use to Compare Decimals?
Below you will find some sample problems as well as some strategies that students used to compare decimals.
Students also enjoyed playing a Decimal War game where they were able to practice their strategies for comparing decimals!



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