PLACING AND IDENTIFYING FRACTIONS ON THE NUMBER LINE

PLACING AND IDENTIFYING FRACTIONS ON THE NUMBER LINE 4. NF. A. 1, 4. NF. A. 2, 4. NF. B. 3

A number line helps us visualize the order of numbers.

A number line helps us compare two or more numbers. 0 1 2 3 4 5 6 7 5 < 9 8 9 10 11 12 13

We can use a number line to place fractions. Let’s look at the section between 0 and 1 enlarged. 0 1 0 2 3 4 5 6 7 8 9 10 11 12 13 1

To place a fraction on a number line we have to think about the space between the whole numbers as the whole. 0 1

First, look at the denominator of the fraction and think… Into part how ma s wi ll the ny equa divid whole l be ed? The tells denomi na us equ how m tor a who l parts any le is th divid e ed. 0 Divide the whole into four equal parts. 1

Next, look at the numerator of the fraction and think… The n us h umera to o part w man r tells s we y are equal abo talking ut. 0 Shade one of the equal parts. 1 How equ many of th al pa e r t s talki a r e ng a bou we t?

The point at which the shaded part ends on the number line is the placement for the fraction. 0 1 Place a point on the number line where the shaded part ends. Write the fraction under the point.

This is what the fraction on the number line would look like. 0 1

Let’s watch a video that shows this strategy for placing fractions on a number line.

Your turn to try. 0 Answer Check Follow these steps. 1. Block the whole. 2. Look at the denominator and divide the whole into equal pieces. 3. Look at the numerator and shade in the number of pieces we are talking about. 4. Place a point on the number line at the location where the shaded part ends. 5. Label the fraction under the number line. 1

Your turn to try. 0 Follow these steps. 1. Block the whole. 2. Look at the denominator and divide the whole into equal pieces. 3. Look at the numerator and shade in the number of pieces we are talking about. 4. Place a point on the number line at the location where the shaded part ends. 5. Label the fraction under the number line. Answer Check 1

Your turn to try. 0 Answer Check Follow these steps. 1. Block the whole. 2. Look at the denominator and divide the whole into equal pieces. 3. Look at the numerator and shade in the number of pieces we are talking about. 4. Place a point on the number line at the location where the shaded part ends. 5. Label the fraction under the number line. 1

What if the numerator is greater than 1? Watch the video explaining how to place a fraction with a numerator greater than 1 on the number line. (begin at 1 minute).

Your turn to try. 0 Follow these steps. 1. Block the whole. 2. Look at the denominator and divide the whole into equal pieces. 3. Look at the numerator and shade in the number of pieces we are talking about. 4. Place a point on the number line at the location where the shaded parts end. 5. Label the fraction under the number line. Answer Check 1

Your turn to try. 0 Follow these steps. 1. Block the whole. 2. Look at the denominator and divide the whole into equal pieces. 3. Look at the numerator and shade in the number of pieces we are talking about. 4. Place a point on the number line at the location where the shaded parts end. 5. Label the fraction under the number line. Answer Check 1

Your turn to try. 0 Follow these steps. 1. Block the whole. 2. Look at the denominator and divide the whole into equal pieces. 3. Look at the numerator and shade in the number of pieces we are talking about. 4. Place a point on the number line at the location where the shaded parts end. 5. Label the fraction under the number line. Answer Check 1

Now let’s identify fractions on the number line. Follow these steps. 1. Block the whole. 2. Determine the denominator by counting the number of equal pieces the whole is divide into. 3. Fill in the equal parts to the point on the number line. 4. Determine the numerator by counting the number of equal pieces you have filled in. 5. Write the fraction under the point on the number line. 0 3 1

You Try! 0 Follow these steps. 1. Block the whole. 2. Determine the denominator by counting the number of equal pieces the whole is divide into. 3. Fill in the equal parts to the point on the number line. 4. Determine the numerator by counting the number of equal pieces you have filled in. 5. Write the fraction under the point on the number line. 1

You Try! 0 Follow these steps. 1. Block the whole. 2. Determine the denominator by counting the number of equal pieces the whole is divide into. 3. Fill in the equal parts to the point on the number line. 4. Determine the numerator by counting the number of equal pieces you have filled in. 5. Write the fraction under the point on the number line. 1

You Try! 0 Follow these steps. 1. Block the whole. 2. Determine the denominator by counting the number of equal pieces the whole is divide into. 3. Fill in the equal parts to the point on the number line. 4. Determine the numerator by counting the number of equal pieces you have filled in. 5. Write the fraction under the point on the number line. 1

Let's practice! Play “Battleship Number line”

More Practice! Play “Find Grampy”

HOW DID YOU DO?