Unit 2, Lesson 16

Compare and Order Fractions

Grade 4

Warm-up

Number Talk: Multiples of 6 and 12

Find the value of each expression mentally.

Activity 1

Introduce Compare—Fractions

Play Compare Fractions with 2 players:

Split the deck between the players.
Each player turns over 1 card.
Compare the 2 fractions. The player with the greater fraction keeps both cards.
If the fractions are equivalent, each player turns over 1 more card. The player with the greater fraction keeps all 4 cards.
Play until you run out of cards. The player with the most cards at the end of the game wins.

Play Compare Fractions with 3 or 4 players:

The player with the greatest fraction wins the round.
If 2 or more players have the greatest fraction (equivalent fractions), those players turn 1 more card over. The player with the greatest fraction keeps all the cards.

Record any sets of fractions that are challenging to compare here.

_________ and _________

Activity 2

Fractions in Order

Put each set of fractions in order, from least to greatest. Be prepared to explain your reasoning.

Student Section Summary

We compared fractions using:

What we know about the size of fractions.
Benchmark fractions, such as and 1.
Equivalent fractions.

Example: To compare and , we can reason that:

is equivalent to , so is less than .
is equivalent to , so is greater than .
This means that is greater than . (Or is less than .)

We can also compare by writing equivalent fractions with the same denominator, or a common denominator. For example, to compare and , we can use 12 as the denominator:

Because is greater than , we know that is greater than .

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