Math 7

Unit 5 Operations with Fractions

Lesson 5.2  Using Other Models to Add Fractions

Focus

The FOCUS section introduces the main concept that will be covered in the lesson.

Use fraction strips and number lines to add fractions.

There isn’t a Focus activity in this lesson.

TEXT Page 181

Read/Work through the  Focus  section at the top of page 181 in  your textbook.

Explore

Explore an idea or problem.
The exploration provides the background for the ideas presented in the lesson.

TEXT Page 181

Read/Work through the  Explore  section on Page BLAH in your textbook.

You can do this activity on your own.
Do your best to answer the questions, then watch the Video Tutorial for help or to check your answers.

Since you are redrawing the original map,  you can do this on grid paper.  (you don’t need the original map)
Draw a rectangle the size of the original map, then fill it in using the information provided.

I worked through the activity but I don’t see any “easy” way to create addition equations.
If you see a nice way, let your teacher know.
I simply used logic and found the following  (after the land changed hands)
Smith   (12/24)= (1/2)
Perry  (2/24)= (1/12)
Chan   (6/24)= (14/4)
Haynes  (4/24)= (1/6)

Watch

Video Tutorial

Fraction Strips

Fraction Strips are a nice, visual way to show the addition of fractions.

If you have a set of fraction strips to work with, great!
You can find many websites where you can download and print a document.
For example,  here
Feel free to use something like that if working with a “hands on model” helps you.
But.. some of you might find working with strips of paper, cutting them out, etc.  to be a bit frustrating.
If so,  use the link below to a website with virtual fraction strips.

Virtual Fraction Strips   LINK

Video Tutorial (using the virtual fraction strips)

Connect

Connect summarizes the math in the lesson.
A presentation of ideas connected to the lesson focus.

TEXT Pages 181 - 182

Read/Work through the  Connect  section on Pages 181 - 182  in your textbook.

Even if you KNOW you are going to watch the video, READING this section is still important.

Getting the same information in multiple ways can help with understanding.

Watch

Video Tutorial

Example

The Example will give you TOOLS for solving problems, and also show you that there may be different ways to approach a question.

Example

TEXT Page 182

Work through the Example  on Page 182 in your textbook.

Fraction Circles (another way to do the example)

Watch

Video Tutorial

Practice Problems

Doing Practice Problems

Practice problems reinforce the math presented in this lesson.

•	Work through the practice problems for this lesson.
	These problems are for practice, you don’t need to hand them in!
	(your teacher may assign specific questions for you to complete)

•	Use the answers in the back of the book to CHECK YOUR WORK!

•	If you make a mistake, TRY TO FIX IT!

•	If you need help or want more information, view the video solutions provided.

•	If you still need more help,  CONTACT YOUR TEACHER!

Types of Practice Problems

Assessment Focus a question that gives a good example of the kind of question you would be expected to answer after completing the lesson

Take It Further questions offer enrichment and extension.

Notes

Question 3,    I didn’t do a video for this one.
This is a great discussion question, and I’ve already “told” you the pattern.
In the next lesson the textbook will (finally) come right out and TELL you the pattern as well.

Question 6,    I didn’t do a video for this one.
Another great discussion question!
The textbook really really really wants YOU to come up with YOUR OWN idea of how this work!
I’ve been sort of telling you.
You should do your best to come up with your method and describe it in your own way.
..and then, if possible, share that with some other students and compare.
In the next lesson the textbook will (finally) come right out and TELL you “the method”

Question 9,   I wrote a simple program and ran it lots of times to simulate creating those fractions and adding.
Below are the possible results,  and yes... (7/6) was the answer
(and there were ELEVEN ways to find an answer between 1 and 2)

Video Solution Links

Check your work for every problem you do!
If you make a mistake,  try to fix it!
Use the video solutions for more information.
If a problem still doesn’t make sense, ASK YOUR TEACHER FOR HELP!

({{"Question 1", "Question 2",  , "Question 4", "Question 5"}, { , "Question 7", "Question 8", "Question 9", "Question 10"}, {"Question 11", "Question 12", , , }})