Gr.3 M5 L16

In order to understand the fraction of the number line Mario is currently above, we have to know a few things.

First, WHOLE NUMBERS. A whole number represent a whole and is any number starting from 0 that has no fractional or decimal part.

We also have to understand that on a number line the denominator (the number below in a fraction) represents the total amount of equal parts (jumps) between 2 whole numbers

With the denominator identified, we can now focus on the numerator. The numerator represents the amount of jumps (equal parts) taken or passed to get to that current point.

Though it may seem that Mario has not taken any jumps to get above the 1, remember that a line continues forever both ways and that whole numbers start at 0. So lets zoom out to see how far Mario has actually already traveled.

Since the denominator represents the total amount of equal parts in a whole, and the whole number represents the amount of wholes, you can multiply the denominator to the whole number to find the numerator as well.

I noticed the fractional units are thirds, the end points are 4 and 7. Some whole numbers are missing.

Let's equally space 2 tick marks for the two missing numbers.

The fractional units are thirds, so each whole needs to be partitioned into three equal parts. Now we can label the fractions.

Now we can continue to add a third as we go across the tick marks.