for the maths teachers

[willoblue]

here is a cut & pasted worksheet on linear equations that I gave to my year 9 class.
the best score wins a chocolate bar. if there is a tie, I'll use my roulette wheel on my iphone to get the winner.


Year 9 Term 1 Extension Lesson – Footy

1. A goal is worth 6 points and a behind is worth 1 point. Write a linear equation (like 3x-2=5) which will calculate the points scored by one team in a game of footy.








2. In round 1 Fremantle scored 17 goals and 14 behinds, while Collingwood kicked 5 goals and 16 behinds. How many points did they each score?








3. How much did Fremantle win by?



4. Michael Barlow had 12 kicks and 17 handballs. Each kick is worth 3 points and a handball is worth 2 points in fantasy footy. How many points did he get from his disposals (kicks & handballs)?







5. Aaron Sandilands had 13 more handballs than kicks. He had 19 disposals. How many kicks did he have?









6. Nat Fyfe had 64 fantasy points, but only played ¾ of the game. How many points would he have scored if he had played the whole game and continued at the same scoring rate?





7. Hayden Ballantyne scored 3 goals and one behind on the night. How many points (not just behinds) would he score in the season (not including finals) if he scored at the same rate and played all 22 games?





8. Ryan Crowley had 16 disposals at an efficiency of 81.25%. This means that 81.25% of his disposals were effective. How many effective disposals did he have?




9. Stephen Hill had the following statistics: kicks=16(3 pts), handballs=9(2 pts), marks=2(2 pts), Free kick against=1(-3pts), goals=1(6 pts), behind=1(1 pt). What was his fantasy footy score?







10. Do you support the Freo Dockers? If not, why not? Would you like a good report from Mr S?



I got a good response from the kids.
cheers

 

[Mockcockpit]

Lucky Kepler wasn't playing, I don't think year 9's are ready to divide by zero yet.

 

[Okinakashi]

And they say that maths has no place in the real world - how wrong "they" are.

 

[jusjoshin]

Sport is the best way to teach statistics to kids, as well as some basic algebra.

 

[Purple Suit]

1. G = goals scored
P=points scored
S= final score

(Gx6)+P=S

also acceptable

F+2014 = 1

2. Freo – 116, Collingwood – 46

3. 70 points

4. 70 points

5. 3 (he doesn’t like to kick much)

6. 85, although he only had around 4 points at quarter time so the answer should be 94 if he continued his “matrix mode”.

7. 418 points

8. 13 disposals but all of his tackles would have been effective too.

9. 74 points.

10. Of course.

 

[scon]

Purple Suit needs further extension willoblue and a Chevron Anchor stamp.

 

[Nothing]

1. A goal is worth 6 points and a behind is worth 1 point. Write a linear equation (like 3x-2=5) which will calculate the points scored by one team in a game of footy.
6g + p = S where g = goals; p = points and S = score

2. In round 1 Fremantle scored 17 goals and 14 behinds, while Collingwood kicked 5 goals and 16 behinds. How many points did they each score?
From the above
6*17 + 14 = 116
6*5 + 16 = 46

3. How much did Fremantle win by?
116-46 = 70

4. Michael Barlow had 12 kicks and 17 handballs. Each kick is worth 3 points and a handball is worth 2 points in fantasy footy. How many points did he get from his disposals (kicks & handballs)?
3k + 2h = ff, where k = kick; h = handball; ff = fantasy footy

.: 3*12 + 2*17 = 70 ff

5. Aaron Sandilands had 13 more handballs than kicks. He had 19 disposals. How many kicks did he have?
h + k = d where h = handballs; k = kick and d = disposals
h + k = 19
h = k + 13
.: by combining above
(k+13) + k = 19
2k = 6
k = 3

6. Nat Fyfe had 64 fantasy points, but only played ¾ of the game. How many points would he have scored if he had played the whole game and continued at the same scoring rate?
64 * 4/3 = 85 if dealing with whole numbers only

7. Hayden Ballantyne scored 3 goals and one behind on the night. How many points (not just behinds) would he score in the season (not including finals) if he scored at the same rate and played all 22 games?
From above S = 6x + y for one game
.: 6*3 + 1 = 19 per game
over 22 games
22 * 19 = 418 points

8. Ryan Crowley had 16 disposals at an efficiency of 81.25%. This means that 81.25% of his disposals were effective. How many effective disposals did he have?
16 * 81.25% = 13

9. Stephen Hill had the following statistics: kicks=16(3 pts), handballs=9(2 pts), marks=2(2 pts), Free kick against=1(-3pts), goals=1(6 pts), behind=1(1 pt). What was his fantasy footy score?
3k+2h+2m-3fa+6g + p = ff
3*16+2*9+2*2-3*1+6*1 + 1 = 74

10. Do you support the Freo Dockers? If not, why not? Would you like a good report from Mr S?
I hope you penalise not only Eagles supporters but those who fail to show their working.

Also, as an aside, Stephen Hill's example has deprived him of fantasy footy scores as marks are worth 3.

 

[Scatter]

11. Do you support the Eagles?

(Note: if answer is yes, fill grade as F to save me time marking)

 

[valkorum]

I am not doing your homework for you

 

[mattis117]

Completed it for fun without reading the responses to the OP.

1) S=Score

G=goals

B=Behinds

S=6G+B

Note: This is not a linear equation - there are two independent variables. A linear equation has one independent variable and one constant.

2) F: 116

C: 46

3) Margin: 70 points

4) 70 points

5) H= handballs, K=kicks

Equation 1) H=K+13

Equation 2) K+H= 19

Sub equation 1 into equation 2:

2K +13 = 19

Therefore K=3 and H=16

6) Predicted score = 64*4/3

=85.3 ß Round down

Predicted score = 85 Points

7) Season score =22*3*6 +22*1*1 (or 19*22)

Season Score = 418 points

8) Effective disposals = 0.8125*16

=13 effective disposals

9) Fantasy Score = 16*3 + 9*2 + 2*2 -1*3 + 1*6 + 1*1

= 74 Fantasy points

10) Yes and Yes

 

[Mockcockpit]

"Eagle Maffs Quiz" by Jako

1) Last game Boris gave out 3 squirrel grips, 2 nipple cripples and a crusty. Assuming he's suspended for 5 games this season how many filthy acts will he carry out in a 22 game season at this rate?

2) Cuz and Mikey G have 100 grams of goey. They trade half with the Coffin Cheaters for mull, chicks and a 6 pack of Hahn Ice. They then go on a 10 day bender and the goey is all gone. How much did they snort, smoke or spike each per day?

3) Chris Masten's legs are 95% tat covered his arms 98% and his torso 93%. What percent of his tats are crap?

4) There are 18 teams in the AFL. Last year they finished in the bottom third. What's the highest position they could have finished?


No calculators! Answers on a Bacardi Breezer label please.

 

[jmadrox]

 

[Purple Suit]

"Eagle Maffs Quiz" by Jako

1) Last game Boris gave out 3 squirrel grips, 2 nipple cripples and a crusty. Assuming he's suspended for 5 games this season how many filthy acts will he carry out in a 22 game season at this rate?

2) Cuz and Mikey G have 100 grams of goey. They trade half with the Coffin Cheaters for mull, chicks and a 6 pack of Hahn Ice. They then go on a 10 day bender and the goey is all gone. How much did they snort, smoke or spike each per day?

3) Chris Masten's legs are 95% tat covered his arms 98% and his torso 93%. What percent of his tats are crap?

4) There are 18 teams in the AFL. Last year they finished in the bottom third. What's the highest position they could have finished?


No calculators! Answers on a Bacardi Breezer label please.

1. 20 filthy acts, assuming his suspensions don't go up or one doesn't involve an umpire.

2. They snorted the lot on day 1. They would have needed more for the other 9 days.

3. 110% Not normally possible but I'm allowing for future tats.

4. 9th. There are no decent midfielders after pick 10 in the draft.

 

[slicedndiced]

OP deserves a slap for giving me a headache.