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This Warm-up prompts students to compare four images. It gives students a reason to use language precisely (MP6). It gives the teacher an opportunity to hear how students use terminology to talk about characteristics of the items in comparison to one another. During the discussion, ask students to explain the meaning of any terms they use, such as “tick mark,” “label,” “unit fraction,” “whole number,” and “length.”
Which 3 go together?
The purpose of this activity is for students to use their fraction reasoning skills to practice locating fractions on a number line. Students should be in groups, but the groups should stay small enough that every member has a chance to share their ideas. Be sure to space groups so that each has their own area in which to work. Students write the fractions on their tape. Students will use the number line they create here in the next activity.
As they place the different numbers, students think about the meanings of the numerator and the denominator in the fractions and how whole numbers can be written as fractions (MP7).
Create a long number line on the floor.
Locate and label each fraction and whole number on the number line. Be prepared to explain your reasoning.
Write 6 fraction comparison statements about the numbers on your number line. Include 2 statements for each symbol (,, and ).
Choose 2 statements you wrote. Use numbers, pictures, or words to show that they are true.
“How did you decide how long your number line should be? Does it matter?” (We looked at the greatest number we had and made sure it would fit on the number line. Yes, because we had to make sure all the numbers would fit on the number line.)
“The number line of one group is noticeably longer than that of another group. Does that affect the comparison statements that each group could make?” (It wouldn’t affect the comparison statements for one group working on their own number line, but if two groups tried to compare fractions with number lines of different lengths, their statements could be wrong.)