compare \$frac45\$ come \$frac55\$ (like denominators) to compare \$frac44\$ come \$frac54\$ (like denominators) compare \$frac14\$ to \$frac15\$ (like numerators)This job is additionally a organic fit for 4.NF.2 as a lower-level task in a collection that would highlight that standard. Thus, this task offers a nice transition between class levels.

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Although a number heat diagram is not provided, plenty of students may choose to attract one; teachers could suggest doing therefore if a student is struggling through the problem. For numerous students, developing a number line will assist them identify that \$frac45\$ is just \$frac15\$ indigenous 1 and that \$frac54\$ is only \$frac14\$ indigenous 1 also though the family member size the the fractions is similar and the two fractions room plotted on different sides the 1 on the number line. Part students may choose to create two number lines, so they have the right to partition one right into fourths and one right into fifths, and also then compare them.

It is possible to deal with this trouble using typical denominators. While no technically incorrect, that equipment is not shown due to the fact that first, students execute not work with usual denominators until fourth grade, and also second, even when they know just how to find typical denominators, they should recognize in a situation like this the straight-forward reasoning about the family member sizes that unit fountain is an ext efficient.

Below is a list of related work in this set in bespeak of sophistication:

Locating Fractions much less than One on the Number LineLocating Fractions greater than One top top the Number LineClosest to \$frac12\$Find 1Find \$frac23\$Which is Closer come 1?

## Solutions

Solution:3.NF.2 Plot Points come Compare

Many college student will sketch something prefer the adhering to number line diagram: Fifths space closer with each other than fourths. \$frac45\$ is \$frac15\$ from 1. \$frac54\$ is \$frac14\$ from 1. For this reason \$frac45\$ is closer to 1 보다 \$frac54\$.

Solution:3.NF.2 Recognize and also Reason

A few students might simply factor in the following means (stated in college student language rather than the more formal language supplied here):

If we division the segment indigenous 0 come 1 in 4 equal-length segments(so each has a size of \$frac14\$), and also we additionally divide the segment indigenous 0 come 1 into 5 equal-length segments (so each has a length of \$frac15\$), the segments of length \$frac14\$ will be much longer than the segment of size \$frac15\$ because there are fewer that them.

The distance between \$frac45\$ and also 1 is \$frac15\$, and also the distance in between \$frac54\$ and also 1 is \$frac14\$.

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so \$frac45\$ is closer to 1 보다 \$frac54\$

A correct solution does call for that the student explain how he or she figured out that \$frac45\$ is closer to 1.