Compare Unit Fractions MAFS.3.NF.1.3d

Lesson Opening Sarah makes soup.  She divides each batch equally into thirds to give away.  Each family that she makes soup for gets 1 third of a batch.  Sarah needs to make enough soup for 5 families.  How much soup does Sarah give away?  

𝟓 𝟑 batches Lesson Opening Sarah makes soup.  She divides each batch equally into thirds to give away.  Each family that she makes soup for gets 1 third of a batch.  Sarah needs to make enough soup for 5 families.  How much soup does Sarah give away?   𝟓 𝟑 batches 1 family 1 family 1 family 1 family 1 family Have we fed enough families yet? How much soup does Sarah give away?

Use your Fraction Tiles or Fraction Strips Arrange each unit fraction in order from smallest to biggest.

Use your Fraction Tiles or Fraction Strips Arrange each unit fraction in order from biggest to smallest.

What do you notice about the numbers in the fractions as they get bigger or smaller? Turn & Talk

Do you think this is the same if we aren’t using fraction strips? What if we’re talking about pizzas? Will 1 8 be smaller than 1 4 of a pizza? Draw 5 equal-sized circles on your dry-erase board.

Do you think this is the same if we aren’t using fraction strips? What if we’re talking about pizzas? Will 1 8 be smaller than 1 4 of a pizza? 1 4 1 4 1 6 1 6 1 8 1 8 1 3 1 3 1 8 1 8 1 2 1 2 1 6 1 6 1 8 1 4 1 4 1 8 1 3 1 6 1 6 1 8 1 8 Partition one into halves. Partition one into thirds. Partition one into fourths. Partition one into sixths. Partition one into eighths. Label each unit fraction.

Do you think this is the same if we aren’t using fraction strips? What if we’re talking about pizzas? Will 1 8 be smaller than 1 4 of a pizza? 1 4 1 4 1 6 1 6 1 8 1 8 1 3 1 3 1 8 1 8 1 2 1 2 1 6 1 6 1 8 1 4 1 4 1 8 1 3 1 6 1 6 1 8 1 8 Partition one into halves. Partition one into thirds. Partition one into fourths. Partition one into sixths. Partition one into eighths. Which unit fraction is the smallest? What happens to the size of the piece the more partitions we make? Which unit fraction is the largest?

to your fraction strips. 1 2 1 2 1 3 Compare your drawings to your fraction strips. What do you notice? 1 3 1 3 1 4 1 4 1 4 1 4 Turn & Talk 1 6 1 6 1 6 1 6 1 8 1 8 1 6 1 6 1 8 1 8 1 8 1 8 1 8 1 8

Your Turn - Part 1 (on your dry-erase boards): Work with a partner Each partner chooses a unit fraction from their fraction tiles (or fraction strips) Compare the fractions Both partners write the comparison on their dry- erase boards 1 3 > 1 6

Your Turn - Part 2 (on your dry-erase boards): Work with a partner Partner 1 chooses a unit fraction Partner 2 chooses < or > Partner 1 then has to write a unit fraction that makes the comparison true Partners 1 and 2 switch roles 1 4 1 8 >

Your Turn – Part 3 (Practice Pages)

Lesson Closing When you are comparing unit fractions, is there a rule for how to determine which fraction is greater?

Use the gridded response form for both questions. Exit Ticket Use the gridded response form for both questions. Write the largest fraction on your gridded response form. 2. Name a unit fraction smaller than 1 3 . 1 8 , 1 2 , 1 4 , 1 3