## Reflection: Checks for Understanding Comparing Fractions on a Numberline - Section 3: Core Lesson: Let's learn and practice!

I roved the classroom as they worked, looking at work. I saw that they all were drawing the same size whole and working with the graph paper. I stopped at one student's desk to notice that his parts were not equal. He redrew the pieces and I emphasized the accuracy. It is hard to divide up the line for some, so I showed him the tricks of using the benchmark fraction of 1/2  once again. He was proud that he figured out that if the denominator was even, 1/2 was the "go to" fraction to help us divide it up. I was pleased to see his thinking, but couldn't resist getting him to think farther. Common Core expects that we push kids to think as we satisfy not only the standard, but the Math Practice standards as well.

I asked: What if the denominator is odd? I showed him how to divide thirds up (again) by finding 1/2 and then "eyeballing" the division, checking to see that I wasn't too far from 1/2 and that all pieces were even. Then we could divide those in half to make 6ths. He was happy! Explaining his understanding shows the enthusiasm and understanding about he just learned.

Observing and Intervention
Checks for Understanding: Observing and Intervention

# Comparing Fractions on a Numberline

Unit 6: Fractions 1: Understanding Equivalence in Fractions and Decimals
Lesson 7 of 12

## Big Idea: Students draw a number line and learn the meaning of comparing fractions by dividing equal parts and shading in the number of parts. Then they compare!

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Standards:
Subject(s):
Math, Number Sense and Operations, Fractions, Number line model for fractions, comparing fractions
45 minutes

### Mary Ellen Kanthack

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