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This is how we raised my nephew’s grade point by 1.5 when he was 11. We used money on the table, price lists of the toys/games he wanted, and his first savings account. His mom wasn’t happy that she had to help out with the savings account when he came home after his visit that summer but was pleased they didn’t have to spend so much time on homework anymore.
Ahhh, the joys of being the uncle, not the parent.
My algebra students can learn to handle the original problem, but nearly every one will freeze up at the sight of a word problem. It doesn't seem to matter whether it's about something that interests them.
Paige is neither stupid nor weird; at the moment she has not mastered the ability to abstract from a particular problem to a more general version of the same problem.
Of course you can, that’s basic. JohnDrake, however, left off a lot of the steps, and didn’t solve for y at all. Not that he was wrong, but he was oversimplified.
Talking about P.I.E. brings up object oriented programming -
polymorphism
inheritance
encapsulation.
———————
farrenPro says:
Of course you can, that’s basic. JohnDrake, however, left off a lot of the steps, and didn’t solve for y at all. Not that he was wrong, but he was oversimplified.
—
yes, I sketched the solution and did not give a blow-by-blow description. Those who wanted the details could, I believe, figure them out. Those who did not would not have excruciating details thrown at them. As for the value of “y”, once you have the value for “x”, it is a trivial pursuit to find “y”; that is why I did not pursue it.
The disconnect (it seems to me) lies in concrete versus abstract thinking. Paige can’t deal with algebra in abstract terms, but she can when she’s given a concrete problem. My mother was like that. I’m the reverse: abstractions are easy, it’s the concrete that’s harder.
Page’s thought process:
From Peter’s statements in the third panel, exchanging 1 shirt for 1 sweater costs an extra $15 therefor exchanging the second shirt for a third sweater will make the bill $90.
Sweaters obviously cost $30 apiece.
Going back to the first statement and subtract 1 sweater and 2 shirts cost $30 or $15 apiece.
FoxTrot is a comic strip with attitude, wit and a big dose of reality. Bill Amend’s brilliant understanding of sibling rivalry and generational struggles comes to life in a refreshing blend of humor and truth.
Readers of all ages will love this glimpse into family life with the FoxTrot gang. Come and laugh with Roger and Andy, and their kids Peter, Paige and Jason.
Comments (30) Jump to Comments Form
gimmickgenius
said,
9 months ago
Who knew Peter was that smart? Putting a dollar sign in front of it ALWAYS makes math more interesting.
JDG
said,
9 months ago
She’s a shopper!
Doctor Toon
said,
9 months ago
JDGPro says:
She’s a shopper!
Yup, but she’s not too quick on the uptake.
Robin Boyd
said,
9 months ago
What gets me is, this is an actual Real Life application of algebra!!
… and they said it couldn’t happen ….
JonD17 said, 9 months ago
Wow, Peter, where did that come from?
Your teachers would fall out their chairs!
dcguys
said,
9 months ago
This is how we raised my nephew’s grade point by 1.5 when he was 11. We used money on the table, price lists of the toys/games he wanted, and his first savings account. His mom wasn’t happy that she had to help out with the savings account when he came home after his visit that summer but was pleased they didn’t have to spend so much time on homework anymore.
Ahhh, the joys of being the uncle, not the parent.
ForeverAllstar said, 9 months ago
Amend must be a math and science wonk, he uses it all the time
Machtyn said, 9 months ago
ForeverAllStar: He is a geek. He spends his time playing World of Warcraft now. :)
tobybartels said, 9 months ago
My algebra students can learn to handle the original problem, but nearly every one will freeze up at the sight of a word problem. It doesn't seem to matter whether it's about something that interests them.
mrprongs said, 9 months ago
Paige is stupid and weird. She’s Steird.
Ro said, 9 months ago
peter knows how to speak paige’s lanuage..if only she realised the connection btween ther homework n his help :p
both smart in thier own way :p
bluetopazcrystal said, 9 months ago
ForeverAllstar says:
ForeverAllstar says:
Amend must be a math and science wonk, he uses it all the time
Bill has a Bachelors Degree in Physics. So there you go.
Geekologist said, 9 months ago
Wrong Peter, shes stupid, but good at real life math.
Kevin said, 9 months ago
that was THE ONLY way my neice could do algebra was to turn everything into shoes and money - lol
wowfactor said, 9 months ago
thanks, bill! keep teaching parents how to teach their kids by KNOWING them.
Dave Kannikal
said,
9 months ago
Am I the only one who was compelled to write the problem down and solve it? Had to dig deep in the brain vault for the balancing equations knowledge…
johndrake said, 9 months ago
Paige is neither stupid nor weird; at the moment she has not mastered the ability to abstract from a particular problem to a more general version of the same problem.
johndrake said, 9 months ago
2x + y = 60
x + 2y = 75
sames as
4x + 2y = 120
-x -2y = -75
——————-
3x + 0 = 45 ==> x = 15
scbassist said, 9 months ago
For all you algebra illiterate:
2x + y - 60 = x + 2y - 75
2x + y + 15 = x + 2y
2x/y + 1 + 15/y = x/y + 2
2x/y + 15/y = x/y + 1
2 + 15/x = 1 + y/x
1 + 15/x = y/x
x + 15 = y
x = y - 15
2(y - 15) + y = 60
2y - 30 + y = 60
3y = 90
y = 30
x + 2(x + 15) = 75
x + 2x - 30 = 75
3x = 45
x = 15
Ro said, 9 months ago
im sorry scbassist but johndrake made that math alot easier for me…altho i still say peters way may be the best way yet :p
farren
said,
9 months ago
Yeah, but scbassist’s will work even if the “y”s don’t cancel out.
SirTalksALot said, 9 months ago
Another way to solve it
2x + y = 60 –given
y = 60 - 2x –solve for y
x + 2y = 75 –given
x + 2(60 - 2x) = 75 –replace y with 60-2x
x + 120 - 4x = 75 –distribute 2
120 - 3x = 75 –simplify
120 = 3x + 75 –add 3x to both sides
120 - 75 = 3x –subtract 75 from both sidex
45 = 3x –simplify
x = 15 –divide both sides by 3
2x + y = 60 –given
2(15) + y = 60 –replace x with 15
30 + y = 60 –multiply
y = 60 - 30 –subtract 30 from both sides
y = 30 –simplify
johndrake said, 9 months ago
farrenPro says:
Yeah, but scbassist’s will work even if the “y”s don’t cancel out.
——————-
you can always make the variable of your choice cancel out, either x or y.
Ax + By = C
Dx + Ey = F
work the first equation:
-(E/B) (Ax + By) = -(E/B)C
-(EA/B)x -(EB/B)y = -EC/B
add the result to the second equation:
-(EA/B)x - Ey = -EC/B
Dx + Ey = F
(-(EA/B) +D)x + 0 = F -(EC/B)
x = (F - EC/B)/(D - EA/B)
farren
said,
9 months ago
Of course you can, that’s basic. JohnDrake, however, left off a lot of the steps, and didn’t solve for y at all. Not that he was wrong, but he was oversimplified.
PaulAtreides said, 9 months ago
Pie = Good
Math = Not Pie
:(
johndrake said, 9 months ago
Talking about P.I.E. brings up object oriented programming -
polymorphism
inheritance
encapsulation.
———————
farrenPro says:
Of course you can, that’s basic. JohnDrake, however, left off a lot of the steps, and didn’t solve for y at all. Not that he was wrong, but he was oversimplified.
—
yes, I sketched the solution and did not give a blow-by-blow description. Those who wanted the details could, I believe, figure them out. Those who did not would not have excruciating details thrown at them. As for the value of “y”, once you have the value for “x”, it is a trivial pursuit to find “y”; that is why I did not pursue it.
kgadowsky said, 9 months ago
Excellent to explain the disconnect in how we currently teach mathematics!
Johanan Rakkav
said,
9 months ago
The disconnect (it seems to me) lies in concrete versus abstract thinking. Paige can’t deal with algebra in abstract terms, but she can when she’s given a concrete problem. My mother was like that. I’m the reverse: abstractions are easy, it’s the concrete that’s harder.
BigAlanM said, 9 months ago
Page’s thought process:
From Peter’s statements in the third panel, exchanging 1 shirt for 1 sweater costs an extra $15 therefor exchanging the second shirt for a third sweater will make the bill $90.
Sweaters obviously cost $30 apiece.
Going back to the first statement and subtract 1 sweater and 2 shirts cost $30 or $15 apiece.
carriebethdunbar said, 8 months ago
Shirt Math