M180- B5T1L1: Compare Fractions with Common Features

Compare Unit Fractions:

 $\frac{1}{4}_{ }$  ?   $\frac{1}{2}$  

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Tags

CCSS.3.NF.A.3D

Why is  $\frac{1}{4}$  smaller Than  $\frac{1}{2}$  ?

• Splitting something into 4 pieces would be much smaller than splitting it into 2 pieces.

• I don't really know, I just guessed.

• Looking at the Numerator, top number, will help me know which is bigger.

Tags

CCSS.3.NF.A.3D

 $\frac{5}{6}$  ?   $\frac{5}{12}$  

Compare Fractions with Common Numerators:

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Tags

CCSS.3.NF.A.3D

Why is  $\frac{5}{6}$  Greater than  $\frac{5}{12}$  ?

• I can look at the numerator (top number) to determine which is bigger.

• I can see that splitting a pizza into 6 slices will be much larger pieces than if I split that same pizza into 12 slices.  

• I don't really know.  I just guessed.

Tags

CCSS.3.NF.A.3D

 $\frac{1}{12}\ \ ?\ \ \ \ \frac{1}{3}$  

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Tags

CCSS.3.NF.A.3D

Why is  $\frac{1}{12}\ \ <\ \ \ \ \frac{1}{3}$  

• Because the numerator helps me see which is bigger.

• Splitting a pizza into 12 slices would give me much smaller pieces than splitting a pizza into three slices.

• I just guessed.  I don't really know.

Tags

CCSS.3.NF.A.3D

 $\frac{2}{3}\ \ ?\ \ \ \ \frac{2}{4}$  

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Tags

CCSS.3.NF.A.3D

 $\frac{11}{16}\ \ ?\ \ \ \ \frac{6}{16}$  

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Tags

CCSS.3.NF.A.3D

 $\frac{1}{5}\ \ ?\ \ \ \ \frac{3}{5}$  

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Tags

CCSS.3.NF.A.3D

How do I know $\frac{1}{5}\ \ <\ \ \ \frac{3}{5}$  ?

• Common Denominator tells me I have 1 set of 1/5 pieces versus 3 sets of 1/5 pieces.  3/5 is BIGGER.

• Unit fraction because both numerators (top numbers) are the same.

• Common Numerator because both fractions have the same top number.

Tags

CCSS.3.NF.A.3D