-Hey I know this is my fourth time posting this but, I have figured a lot on my own. But I have no idea what to do for the "Analyze it" questions.
Semester A Unit 4 Lesson 5:
Cool Crafts Portfolio Template
Choose a room you would like to decorate:
_My Bed room___________________________
Measure the length of one wall in inches: ___72_______________________
2. Choose a size of paper to use.
*I recommend just using a standard 8.5 inch by 11 inch piece of paper. Then fold it diagonally and cut it to make a square.
*Once you cut off the bottom portion of the rectangular, the sides of the square will each be 8.5 inches. If you would like, you can cut 0.5 inch off the top of the square and 0.5 off the right side of the square to make it 8 inches by 8 inches. That is optional.
3. Cut the square in half along the diagonal to form two paper triangles. These will be your pennant flags.
4. Measure the diagonal of the triangle: Use the Pythagorean Theorem ( a^2+b^2=c^2) to determine the length of the diagonal (hypotenuse):
A2 + B2 = C2
122 + 122 = 24
24 + 24 = 72
*Your actual measurement and your Pythagorean Theorem answer should be the same or very similar.
5. Divide the actual length of the room (measurement from Step 1), by the length of the hypotenuse:
72 x 4 = 288
288 / 72 = 4
*That is how many triangles you will need to create your “string of pennant flags”.
How many flags will you need to cover the entire length of the wall? 288
Analyze It Questions:
Why might your measurement of the diagonal’s length be different than the length you found using the Pythagorean Theorem?
Your measurement of the diagonal’s length might be off track, but my measurements were fine so I am on the right track.
Why do you have to use estimation to find the number of triangles you need for the string?
Can't do anything about #1,2,or 3
#4, your triangle has a base of 8 and a height of 8, so
c^2 = a^2 + b^2
= 8^2 + 8^2
= 128
c √128 = appr 11.3
I have no idea what you were doing in your solution.
I am assuming you are stringing up the penants along the diagonal lengths, so
288/√128 = appr 25.5
Analysis: your answers were off because you were using
Voodo Math
To find the number of triangles you need for the string, you have to use estimation because the actual length of the room may not be evenly divisible by the length of each triangle. In this case, the length of the room is 72 inches, and we have determined that each triangle has a length of 72 inches using the Pythagorean Theorem.
Since the actual length of the room (72 inches) is not evenly divisible by the length of each triangle (72 inches), we need to estimate the number of triangles required to cover the entire length of the wall. In this case, we divide the actual length of the room (72 inches) by the length of each triangle (72 inches).
The result of this division is 1, indicating that technically, only one triangle is needed to cover the entire length of the wall. However, since the result is very close to 1 and there may be slight variations in measurements, it is advisable to use estimation and round up to ensure sufficient coverage. In this case, we rounded up to 4 triangles based on the estimation.
Using estimation ensures that we have enough triangles to cover the entire length of the wall and accounts for any slight variations in measurements or placement.