1. Judy was organizing her post-it notes by color
Judy was organizing her post-it notes by color. She had that were blue and that were pink. How many post-it notes does Judy have?

3.
1 3 4
1 6 8
1 ¾ + 1 6/8 are fractions that include a whole number. We read these fractions as 1 and ¾ or 1 and 6/8 because we have one whole part along with the fractional amounts of the second part.
When we try to add these together, we cannot. We can estimate that 1 whole plus 1 whole will equal 2. Our sum will have at least 2 whole parts.
We can even reason or estimate that ¾ or 3 out of 4 will be more than half and less than 1. Along with 6/8 or 6 out of 8 being more than half but less than one. We have these two fractional amounts that are more than half each but less than one each. If we put them together, we can expect to have a little more than 1.
If we add that to the 2 whole parts we reasoned before, we know that our answer will have at least 3 parts and less than 4 parts.

4.
1 3 4
1 6 8
Adding and subtracting fractions of a whole need to have equivalent fractions with a common denominator
Since they are part of a whole, only the numerators are added. The whole needs to be the same in order to add, subtract, compare, etc fractions
These models do not show common denominators! We need to model the same parts of the whole before we can add!

5. Judy was organizing her post-it notes by color
Judy was organizing her post-it notes by color. She had that were blue and that were pink. How many post-it notes does Judy have?
Discuss with students that there are 4 main steps to solving any story problem. Step 1: we read the problem carefully, maybe even twice. We underline, highlight, or circle important information.
We also can eliminate any unnecessary information.
In step 1, we want to make sure that we understand what the problem is asking. What are we solving for?
The information we have left is all the information we need: Judy HAS 2 ½ and HAS 2 4/6. How many does Judy HAVE?

6. Judy was organizing her post-it notes by color
Judy was organizing her post-it notes by color. She had that were blue and that were pink. How many post-it notes does Judy have?
Now that we understand what we are solving for, what steps do we need to take to solve? What data is given? What key word in the story problem tells us which calculation we will use? Great job! We now know that we need to add 2 ½ + 2 4/6 to answer the question!
both 2 and 2 indicate that we will have at least 4 post it notes.
Thinking of our benchmark fraction ½, we can see that 4/6 is four out of six- 3 out of 6 would be half so 4 out of six is more than half but less than one whole since we would need 6/6 to make a whole.
If we have one half + more than one half, we could estimate about 1 whole. Add this to our 4 post it notes, we can estimate that our answer will be about 5 post it notes.

7. 15 6
2 1 2
2 4 6
16 6 4 1 2 3 5 6
31 6 or
• Perform the necessary calculations to solve the problem. • Make sure to answer the question being asked.
As you can see, we can divide the first number line into sixths so that we have our common denominator. This will give us our equivalent fractions so that we can add them.
Once we add our on our number line that is divided into sixths, we see that our answer is 31/6 or 5 and 1/6. Is this reasonable?

8. • Does the answer seem reasonable? • Check for careless mistakes.
Was your estimation reasonable?
We know the answer is reasonable because our estimate was about 5 post it notes. The answer of 5 1/6 is reasonable.

9. LearnZillion Notes:
--This is the lesson conclusion. On this slide you’ll change your original lesson objective to past tense and explain what the student has just learned. You can retype it here or you can delete the text on this slide and then just copy and paste the text box from the original Lesson Objective slide and then edit it to make it past tense!

10. Bob was painting his room. He painted of his walls in the morning. That afternoon, Bob painted more of his walls. How many walls did Bob finish painting?
Step 1: Understand the problem. What are we solving for? We want to know how many walls Bob finished painting
Step 2: Devise a plan. What steps need to be taken to solve? We want to know how many walls Bob finished painting, we need to add
We know that there are two whole pieces or two whole walls that Bob has painted. We know that he has painted ¾ more of another wall and 4/8 more.
We know that ¾ is the same as 3 out of 4, 3 out of 4 is more than ½ but less than 1 whole
We know that 4/8 is the same as 4 out of 8, 4 out of 8 is ½ because half of 8 is four.
We have fractional amounts that are more than half and one that is half.
It is reasonable to estimate that these fractions are about 1 whole. Add that with our 2 whole walls that Bob has painted, and we can estimate that Bob has painted 3 whole walls

11.
1 3 4 2 1
14 8
1 4 8
12 8 1 2 2 1 3 4
26 8 or
3 2 8
Step 3: Carry out the plan. Does the solution answer the question?
Bob painted of his walls and then he painted more of his walls. How many walls did Bob finish painting?
Remember, we have estimated that there are 3 walls painted by Bob.
We have our number lines that show 1 ¾ and 1 4/8. We need to divide the top number line for 1 ¾ so that it has the same denominator as the mixed number 1 4/8. We need to divide the top number line into eighths by adding 4 more dividers or tick marks for each “1”.
Watch how when we do this, the dividers now match the dividers for the mixed number 1 4/8. As you can see, we did not change the highlighted portion though we can now see the equivalent fraction
Step 4: Review your work. Is your answer reasonable?
We estimated that Bob painted 3 walls. 3 2/8 is very close to 3 so our answer is reasonable.

12. In your math journal, create your own story problem to solve adding mixed number fractions in word problems.
Include the story, steps for solving, explain how to estimate, and draw pictures or models to illustrate.
LearnZillion Notes:
--On the Extension Activities slide(s) you should describe 2-3 activities written with students as the audience (not teachers). Each extension activity should push the students a bit further with the lesson but in a different application or context. Each activity should be designed to take roughly minutes. Teachers will likely display the slide in class and then assign an activity to a student or group for additional practice and differentiation. Ideally, these Extension Activities will be created such that a teacher can differentiate instruction by giving more difficult extension activities to students who have shown mastery of the lesson, and less difficult activities to students who are not yet proficient.
--If you need more than one slide to list your extension activities, feel free to copy and paste this slide!

13. You are creating your own addition story problem to help teach students how to solve adding mixed number fractions in word problems.
Include the story, steps for solving, explain how to estimate, and draw pictures or models to illustrate.
Add in extra information to the story that will not be needed to solve.
LearnZillion Notes:
--On the Extension Activities slide(s) you should describe 2-3 activities written with students as the audience (not teachers). Each extension activity should push the students a bit further with the lesson but in a different application or context. Each activity should be designed to take roughly minutes. Teachers will likely display the slide in class and then assign an activity to a student or group for additional practice and differentiation. Ideally, these Extension Activities will be created such that a teacher can differentiate instruction by giving more difficult extension activities to students who have shown mastery of the lesson, and less difficult activities to students who are not yet proficient.
--If you need more than one slide to list your extension activities, feel free to copy and paste this slide!

14. Ada walked 2 3 6 miles from her house to the library
Ada walked miles from her house to the library. She walked home another way that was miles. How miles did Ada walk?
Rebecca spent hours exercising outside and hours exercising at the gym. How much time did Rebecca spend exercising?
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.