Embedded Files
The Thing about String 1.mp4Act 1
Act 1
Two Pieces of string...
If I want to cut them into pieces that are equal lengths that are as long as possible how long should each piece be?
If I want to cut them into pieces that are equal lengths that are as long as possible how long should each piece be?
- What is an amount you know is too high? How do you know?
- What's an amount you know is too low? How do you know?
- What information do you need to answer this question? What information doesn't matter?
- Are there any resources you could use to find the information you need or to get rough estimates?
- Do your best to find the information you need and solve the problem! (if you need to make up a few numbers for info you couldn't find, make your best guess and solve)
- Does your answer logically make sense? Why or Why Not?
Act 2
Act 2
The Thing about String 2.mp4- Given the following information, if I want to cut the pieces of string into pieces that are equal lengths that are as long as possible how long should each piece be?
- Explain how you got your answer
Act 3
Act 3
The Thing about String 3.mp4- What's going on in this video? Explain what Mrs. McCleskey is doing and how she got her answer.
- Did you get the same answer? Explain
- Is this method the same or different than you did it? List similarities and differences.
- Do you know the mathematical term for what you just found? If so, write it here. If not, make your best guess!
- Write any questions you have about the method shown in the video!
Reveal/Sequel
Reveal/Sequel
- Go over different student methods
- Explain the list method (if necessary show it again)
- Have the students get into pairs and cut 2 pieces of string, one 12" and one 18"
- Then have them cut the string to see if it worked out!
The Thing about String 4.mp4Does it make sense that we got three 6" pieces from the 18" string and two 6" pieces from the 12" string?
- Explain why this is a logical solution to our problem.
Classwork
Classwork
- Get with a partner and each of you pick a string length at random. (numbers must be less than or equal to 100)
- Cut two pieces of string (one for each length each partner chose, you may use cm or in. Just make sure you are BOTH USING THE SAME UNIT)
- On paper, try to figure out the largest equal size piece you can make from your two stings.
- Then cut the string to see if you were right.
- Repeat this process with 3 different numbers
If you finish try this with 3 pieces of string.
How about 4 pieces of string?
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