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Thursday, February 3, 2011
hw #4-2
hw#4-2: Due Mon Feb 7 1) Read pgs 166-168
2) pg 169-170 #1-6 All, #7-23 Odd, #38-42 All
Confusion is GOOD!! It stimulates the brain cells and deepens your learning.
You need to tell me your attempted first step. It also helps if you can visualize and/or approximate your answer.
I assume that you are using the chart on page 168 or the conversion/formula table in your planner. You are NOT EXPECTED to memorize the conversion rates, although familiarity (such as a kg is a little more than double a pound; an inch is about 2.5 times a cm) is a VERY HELPFUL LIFE SKILL.
When confusion strikes, their is an old world chant that sometimes is helpful.
As you gently massage your temples, begin chanting slowly WAAAA - TAGOO - SIAM WAAAA - TAGOO - SIAM WAAAA - TAGOO - SIAM
start increasing the intensity and speed of your chant until your family tells you to go away and lock yourself in your room!
For #'s 1-6 for the conversion factor how do I know which unit belongs on the numerator and which one belongs on the denominator. (130 in. to feet how do I know if it's 12in./1ft or 1ft/12in.)
When converting unit to a different unit, you can simply multiply or divide, as I believe RJ was implying in an earlier question.
Remember, I am trying to take you to a hew (HIGHER) level of understanding, because, as your coach, I know the level of complexity that awaits you in future mathematics courses.
Old (elementary) understanding: To convert 130 inches to feet, since there are 12inches in a foot, eukinjus (i.e you can just) divide by 12. 130/12 is 10 remainder 10 which simplifies to 10 10/12 or or 10 5/6. Right?
New (higher level) understanding: We want to transform 130 inches into feet, and of course in the process we will not change the value. So the only number we can multiply is ONE. The question is,which one to use. You have correctly identified that there are 12 inches per 1 foot (we will call this the conversion rate, ok?). ONE can be defined as 12in/1ft or 1 ft/12in.
Our TARGET is a measurement in FEET, so we want to ELIMINATE INCHES.
Well, do it both ways: 1) 130in * (12in/1ft) gives us 1560in^2/1ft hmmm, doesn't sound like our target, does it?
2) 130in * 1ft/12in = (130*1in*1ft)/(12*1in) hmmm... how can we ELIMINATE the INCHES? We can reduce this by making a BIG FAT ONE out of the 1in/1in, so we are then left with (130*1ft)/12... SO, now we have 130/12 * 1ft. We end up doing the same math as we did back in elementary school (130/12 = 10 5/6) but we now have a higher level understanding of how the IDENTITY PROPERTY OF MULTIPLICATION (anything multiplied by ONE is equal to itself) can be used to convert one unit of measure to another.
It's rj. im confused on problems 21 and 23. i keep getting different ans. HELP!!!
ReplyDeleteConfusion is GOOD!! It stimulates the brain cells and deepens your learning.
ReplyDeleteYou need to tell me your attempted first step. It also helps if you can visualize and/or approximate your answer.
I assume that you are using the chart on page 168 or the conversion/formula table in your planner. You are NOT EXPECTED to memorize the conversion rates, although familiarity (such as a kg is a little more than double a pound; an inch is about 2.5 times a cm) is a VERY HELPFUL LIFE SKILL.
When confusion strikes, their is an old world chant that sometimes is helpful.
As you gently massage your temples, begin chanting slowly
WAAAA - TAGOO - SIAM
WAAAA - TAGOO - SIAM
WAAAA - TAGOO - SIAM
start increasing the intensity and speed of your chant until your family tells you to go away and lock yourself in your room!
Good Luck!
for 21 i multiplied then for 23 i divided.
ReplyDeleteWhy don't we try them one at a time?
ReplyDelete#21) multiplied what by what?
#23) divided what by what?
For #'s 1-6 for the conversion factor how do I know which unit belongs on the numerator and which one belongs on the denominator.
ReplyDelete(130 in. to feet how do I know if it's
12in./1ft or 1ft/12in.)
Its Marc. I keep getting answers that make no sense for number 42. Can somebody help me.
ReplyDeleteHi Maggie, Excellent question!
ReplyDeleteWhen converting unit to a different unit, you can simply multiply or divide, as I believe RJ was implying in an earlier question.
Remember, I am trying to take you to a hew (HIGHER) level of understanding, because, as your coach, I know the level of complexity that awaits you in future mathematics courses.
Old (elementary) understanding: To convert 130 inches to feet, since there are 12inches in a foot, eukinjus (i.e you can just) divide by 12. 130/12 is 10 remainder 10 which simplifies to 10 10/12 or or 10 5/6. Right?
New (higher level) understanding: We want to transform 130 inches into feet, and of course in the process we will not change the value. So the only number we can multiply is ONE. The question is,which one to use. You have correctly identified that there are 12 inches per 1 foot (we will call this the conversion rate, ok?). ONE can be defined as 12in/1ft or 1 ft/12in.
Our TARGET is a measurement in FEET, so we want to ELIMINATE INCHES.
Well, do it both ways:
1) 130in * (12in/1ft) gives us 1560in^2/1ft
hmmm, doesn't sound like our target, does it?
2) 130in * 1ft/12in = (130*1in*1ft)/(12*1in)
hmmm... how can we ELIMINATE the INCHES?
We can reduce this by making a BIG FAT ONE out of the 1in/1in, so we are then left with
(130*1ft)/12...
SO, now we have 130/12 * 1ft. We end up doing the same math as we did back in elementary school (130/12 = 10 5/6) but we now have a higher level understanding of how the IDENTITY PROPERTY OF MULTIPLICATION (anything multiplied by ONE is equal to itself) can be used to convert one unit of measure to another.
Ca-peesh?
For #42 Marc, can you set up an equation? Do you know how many miles Mia traveled? What number DON'T you know... define it as a variable.
ReplyDeleteLet me know your progress.
Paradox: Marc, Maggie, and RJ are three of my better students. Why are only my better students asking questions about the hw assignment?
ReplyDeleteI'll have the answer for you later!
GO PACKERS!
its hannah. how would you do number 11.
ReplyDeleteGo STEELERS!!!!! :)..... and Ca-peesh. (The Steelers are going to steal the game away)Haha
ReplyDelete-Maggie
GO PACKERS!!!!!!!!!!!!!!!!!!!!!!!!!! -Hannah
ReplyDelete