1. Compare Fractions with the same denominator
MAFS.3.NF.1.3d

2. Lesson Opening
Use your fraction tiles to put the following eight fractions in order from LEAST to GREATEST:
𝟑 𝟖
𝟔 𝟖
𝟏 𝟖
𝟒 𝟖
𝟖 𝟖
𝟕 𝟖
𝟐 𝟖
𝟓 𝟖

3. Are the pieces the same size?
Look at the Models
𝟏 𝟖
𝟐 𝟖
𝟑 𝟖
𝟒 𝟖
𝟓 𝟖
𝟔 𝟖
𝟕 𝟖
𝟖 𝟖
Are the pieces the same size?
Which number in the fraction refers to the size of the piece?

4. 𝟓 𝟖 𝟏 𝟖 Number of pieces referred to (or shaded in)
Number of pieces in the whole
Number of pieces in the whole

5. Same denominator = same size pieces
So if…
The fractions refer to the same whole, and
The denominator is the same,
Then, the pieces are the same size.
Then, what are you comparing?
Just the numerator, or, the number of pieces.

6. Who ate more? Write a comparison with Fractions.
𝟓 𝟏𝟔
𝟑 𝟏𝟔
<
Marcia ate 3 pieces.
Keena ate 5 pieces.

7. You can also see comparisons on a Number Line
So, which fraction is greater?
1 8
2 8
3 8
4 8
5 8
6 8
7 8
8 8
9 8
10 8
>

8. > < < < < > 3 4 1 4 3 6 5 6 1 3 2 3 3 8 5 8 1 2 2 2
Use Fraction Tiles, Fraction Number Lines, Fraction Strips, or your Fraction Reasoning to Compare:
>
<
<
<
<
>

9. Your Turn

10. The pieces are the same size.
Lesson Closing
If the wholes are the same size and the denominators are the same, what does that mean?
What is a rule for comparing fractions when the denominator is the same?
The pieces are the same size.
If the pieces are the same size (according to the denominator) then compare the number of pieces (the numerator).

11. 4 6 2 6 1 6 5 6 Exit Ticket GRIDDED RESPONSE GRIDDED RESPONSE
1. Which is the smallest fraction?
2. Write a fraction with the SAME denominator that is larger than
4 6
2 6
1 6
5 6
GRIDDED RESPONSE