For example: 3 6 + 1 6

3 4 Let’s Review the parts of a fraction and what each part of the fraction tells us to do. In a fraction we have a numerator and a denominator. Our denominator tells us how many parts are in the whole fraction. In this fraction we have a 4. The numerator tells us how many parts are chosen to create this fraction. This fraction has 3 so that means we have to show 3 parts out of the 4 in order to represent the fraction ¾.

2 4 l l l l l 1 2 4 l l l l 1 1 4 2 4 3 4 One of the common mistakes that are made in creating a number line is that the number line is not drawn correctly. This number does not have equal parts. There are also too many spaces, to show fourths. Let’s see how to create a correct number line. Here is 2/4 – there are few things that we know based on this fraction. 2/4 tells us that this fraction is less than 1 whole. So our number line is going to go from 0-1. When we look at our fraction it tells us how many equal spaces we need to have- we find this out by looking at the denominator which is 4. When we look at our numerator it tells us the number of spaces that we are referring to which is 2. So we represent 2/4 by shading two spaces in to show this fraction.

3 5 + 1 5 = l l l l l 1 3 5 l l l l l 1 1 5 Now that we know how to create a number line with one fraction, we are going to use two number lines in order to add two fractions. Our problem is 3/5 + 1/5. We are going to use a number line to assist us in adding these two fractions. We start with our line – Our denominator tells us how many spaces we need. In this case we need five spaces. Our numerator tells us how many parts of the whole we are referring to, there are 3 1/5 is our second fraction. We are going to draw an additional number line. The question is asking us to add the two fractions together.

l l l l l 1 4 5 We are going to add the second smaller fraction and place it at the end of the larger fraction with no gaps or overlays in order to determine the answer , which is 4/5 – I counted the number of spaces that are shaded to get my answer of 4/5 So what we just did was add two fractions with like denominators 3/5 + 1/5 using a number line.

3 6 + 1 6 = l l l l l l 1 3 6 l l l l l l 1 Let’s take a look at another example. 3/6 + 1/6. Just like the previous example we are going to use number lines to assist us in determining the answer. Our denominator in the fraction 3/6 tells us that we need to have 6 equal parts on our number line. We are going to show 3 of those parts to represent 3/6. Our second fraction which will be on the second number line is 1/6. Just like 3/6 we will need to have 6 equal parts on our number line. The symbol in between the two fractions is an addition sign. These fractions need to be put together to determine the sum. 1 6

l l l l l l 1 4 6 Our third number line will be used for that purpose. So 3/6 and we lay 1/6 on the same number with not gaps or overlays we have a sum of 4/6.

Using a number line add 5 8 + 1 8 .

Max was given the problem: 3 6 + 2 6 for his answer he wrote down 5 12 Max was given the problem: 3 6 + 2 6 for his answer he wrote down 5 12 . Is he correct? Using a number line, show the solution to this problem.

l l l l l l l l l l l 1 l l l l l l l l l l l 1

Using a number line, solve 6 12 + 4 12 . LearnZillion Notes: --”Quick Quiz” is an easy way to check for student understanding at the end of a lesson. On this slide, you’ll simply display 2 problems that are similar to the previous examples. That’s it! You won’t be recording a video of this slide and when teachers download the slides, they’ll direct their students through the example on their own so you don’t need to show an answer to the question.