Top scorers

Looks like Monte (FHMS) and Allison (Heritage) will earn a medal. Nick (Heritage) is currently 9th and with a good score should end up in the top 10. Outside shot - Joe (Heritage), who missed one meet, needs a huge score and need people in front of him to falter to get into the top 10.

Top from each school: FHMS Monte 83, Elizabeth and Thomas 44, Matthew 42, Frank 40, Vic 39, Alex and Matt 38. Heritage: Allison 80, Nick 69, Joe 58, Gabe 44.

Complete details are available at the Jr. High Math League website - see the link on the right, go to division information - we are SE Metro

Team assignments for Meet 5

MISTAKES MADE TODAY
There were some problems you almost got, but overlooked something little. Maybe this will help:
Q. Factor completely: 4x² -2x -30
A. Not (2x-6)(2x+5) , which is right, but not factored COMPLETELY!
A. 2(x-3)(2x+5)

Q. Find the slope of px + my + k = 0.
Solve for y to express in slope-intercept form: my = -px + k or y =-p/m x - k/m, so the slope is -p/m (a lot of you missed the minus sign)

Q. On problem 10 on the Team Event sample test from last year, many of you figured it out correctly but put down (8,3) and (5,8) instead of (3,8) and (8,5). Remember the x co-ordinate comes first!

The Heritage Gold Team would have had a perfect score of 40 if it were not for these 3 little errors. Maybe you can get a 40 on the real thing. Good luck!
HERITAGE
Here are today's scores and your power rating. If you were absent, I did an estimate then subtracted 2.

Joe Dill	12	50.0
Allison Rocke	12	45.3
Nick Bachman	8	41.0
Gabriel Fromm	6	24.0
Julia Michienzi	4	23.0
Aidan McNally	0	13.7
Aiden Jacobs	0	13.3
Angela Gotham	2	10.7
Amanda Keiser	6	10.3
Gabriel Rivera	4	10.0
Simon Meyer	1	9.0
Jonathan Search	2	6.0
Ben Archambeau	0	4.7
Hannah Skarstad	2	4.0
Anna Barton	0	3.3

FRIENDLY HILLS
Here are the teams.
Sorry, Vic, it was tied between Matt and you and I'm going with the older player.

Monte Fischer	47.7
Alex Nilles	27.3
Elizabeth Whitcomb	26.7
Matthew Morse	23.3
Thomas Miranda	22.0
Matt Richards	20.3
Vic Fischer	20.3
Frank Sullivan	17.0
Greta Prokosch	17.0
Brigham Williams	14.3
Carter Henry	14.3
Nathan Whitcomb	14.0
Daniel O'Reilly	12.0
Tobiah Markovitz	11.0
Allie Prokosch	10.3
Laura Skemp	7.7
Kieran White	6.7
Logan Woods	6.7
Dev Bhakta	5.0
Danielle Stiel	4.7
Lendale Smith	2.7
Hannah Kirby	2.7
Maureen Anderson	2.0

Scores from 12-12-11

Here are the scores from today's 2 tests and your rating, which determines the team you'll be on next meet - although we have one more practice.

TEAM ROSTER

P5a

P5b

M5r

Joe Dill	14	10	50.0
Nick Bachman	14	6	41.7
Allison Rocke			36.7
Julia Michienzi	6	8	24.0
Gabriel Fromm	4	6	23.7
Aiden Jacobs	8	4	15.3
Aidan McNally	1	6	14.8
Gabriel Rivera	4	10	11.0
Angela Gotham		0	10.0
Amanda Keiser	1	2	8.8
Simon Meyer			8.7
Jonathan Search	0	2	5.7
Ben Archambeau	0	4	5.3
Hannah Skarstad			3.3
Anna Barton			3.3

uytuy

TEAM ROSTER	P5a	P5b	M5r
Monte Fischer	8	10	42.2
Alex Nilles	8	6	24.2
Elizabeth Whitcomb	8	6	23.5
Thomas Miranda	4	10	20.8
Matthew Morse	8	6	20.2
Vic Fischer	10	2	17.3
Matt Richards			16.7
Frank Sullivan	4	3	16.4
Brigham Williams	4	4	12.3
Nathan Whitcomb	4	2	12.2
Carter Henry			10.7
Greta Prokosch	8	10	10.2
Tobiah Markovitz			10.0
Allie Prokosch	4	2	9.8
Daniel O'Reilly	6	6	9.7
Laura Skemp	2	0	6.8
Kieran White			5.3
Danielle Stiel	6	0	4.2
Logan Woods	4	4	4.0
Dev Bhakta			3.7
Lendale Smith	2		2.5
Hannah Kirby	0	2	0.5
Maureen Anderson			0.0

Meet 4 Results

Heritage takes first in both individual score and team score!

Heritage..64.28.92
SoStPaul..57.20.77
SPA Gold..63.12.75
FHMSgold..41.24.65
SPAblue...48.16.64
Trinity...41..4.45
StThomas..18..4.22
FHMSred...20..0.20
HERred.....8..0..8
Totals for the Year so far
SPA Gold..403.75.478
Heritage..346.92.438
SPAblue...352.64.416
SoStPaul..323 77.400
FHMSgold..313.65.378
Trinity...251.45.296
FHMSred...199.20.219
StThomas..178.22.200
HERITred..110..8.118
Heritage

Allison Rocke	11	4	15
Nick Bachman	8	5	13
Joe Dill	13	8	21
Gabriel Fromm	2	4	6
Julia Michienzi	5	2	7
Aidan McNally	2	0	2
Angela Gotham	2	0	2
Aiden Jacobs	0	0	0
Amanda Keiser	2	0	2
Simon Meyer	2	0	2
Hannah Skarstad	0	0	0
Jonathan Search	2	0	2

Friendly Hills

Monte Fischer	9	6	15
Elizabeth Whitcomb	4	4	8
Matthew Morse	2	2	4
Alex Nilles	4	4	8
Thomas Miranda	2	2	4
Vic Fischer	2	0	2
Frank Sullivan	2	0	2
Matt Richards	4	2	6
Carter Henry	2	0	2
Brigham Williams	2	0	2
Tobiah Markovitz	4	0	4
Allie Prokosch	2	2	4
Daniel O'Reilly	2	0	2
Nathan Whitcomb	4	2	6
Dev Bhakta	0	0	0
Kieran White	2	0	2
Lendale Smith	0	0	0
Laura Skemp	5	0	5
Danielle Stiel	2	0	2

Another sample problem for Meet 4

Given a square with an equilateral triangle removed. If the square has a side of 6cm, what is the area of the figure, exactly?

(The phrase "exactly" means if we get a square root, we won't approximate it with a decimal, we'll just leave it, which is probably what they'll do on the real test, since calculators aren't allowed.)
We've got a 6x6 square with a triangle cut out. Let T= Area of the Triangle. Area of figure = 36-T. There are 3 ways to solve the triangle - A)Pythagorus, B)Heron, or C) memorize that equiateral triangle. If memorized, side of 1 means height of ½√3, a side of 6 means a height of 3√3 so the area is ½ bh = ½ x 6 x 3√3 = 9√3
Or use Heron √(s(s-a)(s-b)(s-c)) where s = semi-perimeter = 9 T =√(9(9-6)(9-6)(9-6))
T=√(9*3*3*3)=3*3√3 =9√3
So A = 36-9√3

Solving the sample problem

A glass prism is an equilateral triangle on one end and is 6 inches long. The perimeter of the triangle is 3 inches. What is the total surface are of the prism, exactly?

Well, let's see... we have a triangle with perimeter of 3", so each side of the triangle must be one inch. We are trying to figure out the total surface area which includes 3 large rectangles and 2 small triangles (on at each end).
The rectangles area easy 6"x 1" = 6 sq. inch per rectangle times 3 rectangles is 18 sq. in.
The triangles have a base of one and a height of ... hm. Draw the red line shown in the diagram. We now have a right triangle with legs of 1/2 and h, and a hypotenuse of 1. Turn to Pythagorus for help: a² + b² = c² .
(½)² + h²= 1²

¼+ h²= 1

h²= ¾ (Now take the square root of both sides which means taking the square root of both the numerator and denominator on the right hand side to get ...

So our total area is 18 plus 2 * 1/2 bh Hence 18 + bh, or 18 +( 1) √3 / 2

sq in

Scores and Team Assignments for Meet 4

Look's like we all could use another practice session or two. For more practice, go to
the link at right and find "past meet papers" for Meet 4.

Next Monday is Meet 4 at SPA. You'll need to get out of class early to board the bust to SPA. Get your pass from the office on Monday.

Here's how I decide who will be on the teams:
Your total is the total of 3 numbers 1) Last Meet's score, 2) All other meet scores averaged, and 3) You practice scores for this meet. If you are absent for a meet or practice, I take the average scores of the 3 or so scores above and below you and subtract 2 points and use that number instead of a zero. However if you missed both practices, I will leave the second set at zero.

HERITAGE

Name	Mt1	Mt2	Mt3	P4a	P4b	P4c	P4d	Total
Allison Rocke	16	28	21	3	3			44.5
Nick Bachman	12	28	16	4	8	12	6	43.5
Joe Dill	16	14	21	6	4	10	10	43.5
Gabriel Fromm	8	18	12	6	4	10	4	31.0
Julia Michienzi	8	12	10	0	2	0	6	22.0
Aidan McNally	8	10	10	0	0	0	0	19.0
Angela Gotham		8	14	0	0		2	18.5
Aiden Jacobs	0	12	8	4	0	0	0	15.0
Amanda Keiser	0	6	10	4	2	0		14.5
Simon Meyer	2	10	8			0	0	14.0
Hannah Skarstad	0	4	6	2	2	4	0	10.0
Gabriel Rivera	2	6	4			0	0	8.0
Jonathan Search		6	2					5.0
Anna Barton	4	0				2	0	2.5
Ben Archambeau		4				0	0	2.0

FRIENDLY HILLS

Name Monte Fischer	Mt1 20	Mt2 28	Mt3 20	P1 4	P2 14	P3 14	P4 5	Total 53.3
Elizabeth Whitcomb	12	8	16	8	8	12	2	33.5
Matthew Morse	8	16	14	4		8	6	30.5
Alex Nilles	14	8	16	2		4	4	29.5
Thomas Miranda	8	16	16	0		4	2	29.5
Vic Fischer	8	20	9	0	14	8	2	29.0
Frank Sullivan	10	12	16	2		2	1	28.3
Matt Richards	14	8	10	4		10	6	26.0
Carter Henry	4	10	12	2	8	6	0	23.0
Brigham Williams	6	8	11	0	6	2	0	20.0
Greta Prokosch		12	5	4	8	4	4	16.0
Tobiah Markovitz	8	0	10	2		1	0	14.8
Allie Prokosch		9	4	0	10	2	0	11.5
Daniel O'Reilly		12	2	0		4	4	10.0
Nathan Whitcomb	4	6	4	0	4	0	0	10.0
Dev Bhakta		6	5	0		0	1	8.3
Kieran White	4	4	2	0	2	2	0	7.0
Lendale Smith	4	0	2	0				4.0
Logan Woods	4	2		0		1	2	3.8
Mandi Wen	0	6						3.0
Luc Kaderlik	2	4						3.0
Laura Skemp	0	4		0		0	0	2.0
Danielle Stiel	0	0	2	0		0	0	2.0
Jack Korte		0	0	2				0.5
Charlie Rutman	0	0						0.0
Hannah Kirby	0	0	0	0		0	0	0.0
Maureen Anderson		0	0			0	0	0.0

Meet 4 practice results.

Difficult material for meet 4. Make sure not to miss practice next week.
Here are the scores from today. Many of you got zero this morning. Below are the ones who managed to get one or more correct.

Here's an easy formula for the area of a triangle if you know 3 sides.
s=1/2 permimeter A=sqrt(s(s-a)(s-b)(s-c)
Example: Let's use our 3"-4"-5" triangle
s =1/2 of (3+4+5) so s is 6
A = sqrt( 6(6-3)(6-4)(6-5) )
A= sqrt(6*3*2*1)
A=sqrt(36)
A=6
A=6 sq.in.
Example 2: As in today's problem an equilateral triangle with perimeter 18
a, b, and c, are 6. s=9
A = sqrt( 9*(9-6)*(9-6)*(9-6) ) = sqrt (9*3*3*3) = 3*3*sqrt(3)=9*sqrt(3)

Heritage

Allison Rocke			43.0
Nick Bachman	4	8	39.0
Joe Dill	6	4	38.5
Gabriel Fromm	6	4	27.5
Julia Michienzi	0	2	20.5
Aidan McNally	0	0	19.0
Angela Gotham	0	0	18.0
Aiden Jacobs	4	0	15.0
Amanda Keiser	4	2	14.5
Simon Meyer			14.0
Hannah Skarstad	2	2	9.0
Gabriel Rivera			8.0
Jonathan Search			5.0
Ben Archambeau			2.0
Anna Barton			2.0

Friendly Hills

Elizabeth Whitcomb	8
Monte Fischer	4
Matthew Morse	4
Matt Richards	4
Greta Prokosch	4
Frank Sullivan	2
Alex Nilles	2
Carter Henry	2
Tobiah Markovitz	2
Jack Korte	2

Top Individuals in the SE Metro Region

Remember, top 10 at the end of the year get medals, top 3 from each school get ribbons.

Can Joe Dill catch the top 10?
Can Thomas Miranda close the gap?
Can Nick Bachman hold on in the top 10?
Can Monte Fischer catch Milo for the #1 spot?
Will Frank Sullivan end up as the top 5th grader? (Sorry Frank, no medal for that.)
Can Allison catch Michelle and be the top girl in the division?

1	Milo	Wittenberg	m	8	SPA	26	26	22	74
2	Monte	Fischer	m	8	Friendly	20	28	20	68
3	Michelle	Heilig	f	8	SPA	22	24	22	68
4	Thomas	Mellen	m	8	South	22	22	22	66
5	Joe	Bricher	m	8	Trinity	18	28	20	66
6	Allison	Rocke	f	8	Heritage	16	28	21	65
7	Ben	Konstan	m	6	SPA	18	28	16	62
8	Kelton	Holsen	m	8	South	18	28	15	61
9	Netta	Kaplan	f	8	SPA	22	22	15	59
10	Nick	Bachman	m	8	Heritage	12	28	16	56
11	Patrick	Commers	m	8	SPA	20	18	18	56
12	Maeve	Mellen	f	7	South	16	20	18	54
13	Boraan	Abdulkarim	f	8	SPA	12	22	17	51
14	Navodhya	Samarakoon	f	8	SPA	22	18	10	50
15	Ruth	Olson	f	8	Trinity	12	14	16	42
16	Thomas	Miranda	m	6	Friendly	8	16	16	40
17	Michael	Hall	m	6	SPA	10	18	12	40
18	Jane	Hulse	f	8	Trinity	18	6	15	39
19	Frank	Sullivan	m	5	Friendly	10	12	16	38
20	Matthew	Morse	m	7	Friendly	8	16	14	38
21	Gabriel	Fromm	m	6	Heritage	8	18	12	38
22	Kishan	Bhakta	m	7	South	10	16	12	38
23	Eesha	Ifranullah	f	8	SPA	10	28		38
24	Vic	Fischer	m	5	Friendly	8	20	9	37
25	Joe	Dill	m	7	Heritage	16	21		37