Monday, December 21, 2015

Team Assignments for Meet 5

Friendly Hills

6 Oscar Halverson 6 6 43.3
6 Cyrus Martin Risch 0 4 28.0
6 Nick Wendt 0 0 20.7
6 Nina Kessler 2 1 20.7
5 Miles Dunn 0 4 19.3
5 Claire Newmark 16.7
6 Lucas Lindgren 15.3
6 Dain Dolan 14.7
6 Sophia Schomer 0 0 13.7
5 Duy Houng 12.0
5 Will Gannon 0 4 12.0
7 Lily Pince 0 2 10.7
5 Amario Sisakda 10.0
5 Stella Warwick 8.0
5 Charles Cheesebrough 0 4 7.3
6 Victoria Dzurilla 0 0 7.3
5 Ellyanna Lee 6.7
5 Melissa Irwin 0 2 5.3
5 Jackson Cercioglu 2.7
Heritage

8 Anthony Rocke     42.7
8 Ben Nickson 0 6 25.3
8 Steve Nickson 0 0 20.0
5 Aidan Mallberg 6 2 18.7
6 Kathryn Lewis 2 2 18.0
5 Emma Lawrence 0 2 12.7
5 Colten Bartlette     7.3
5 Ruby Lipschultz     7.3
5 Dia Balderramos     2.7
5 Maraya Lucio     2.7
5 Alycia Gonzales Lewis     2.7
5 Sophie Todaro     1.3

Monday, December 14, 2015

Simultaneous Equations

1. What is the point of intersection of 2x + 3y = 7 and 5y = 3x - 1 ?

    Here are 32 lessons on simultaeous equations (aka system of equations) from Kahn Academy
 https://www.khanacademy.org/math/algebra/systems-of-linear-equations
Unfortunately, you probably need to start at the beginning of Kahn Academy's algebra course to really understand this.

    First of all, what is our answer going to be? A point, like (0, 0).
    5th grade way: We need an x and y which make both equations
    true. 2x is always going to be even. 3y will be odd only if y is odd.
    We want the sum to be 7, an odd number, so y must be odd.
    Let's try a 1. 2x + 3 1 = 7. A little arithmetic tells us x=2 since
    2 2 + 3 1 = 7.  So our point is (2, 1) but does this solve the
    other equation: 5y = 3x -1 ?
                         5 1 = 3 2 - 1
                               5 = 6 - 1         Yes! Answer: (2, 1) If it hadn't
    worked on our second equation, we would have tried y = 3 or y = -1.
    If these hadn't worked we'd have to use the 7th grade way.
    7th grade way: We have two equations with two variables. Let's
    get rid of the y's as our first step. So let's get the same number of y's
    in both equations. To do this let's multiply both sides of the first
    equation by 5 and the second by 3:
    2x + 3y = 7                  5y = 3x - 1
    10x + 15y = 35          15y = 9x - 3
    15y = -10x + 35
    Since both expressions on the right = 15y, they must = each other!
    So                                      9x - 3 = -10x + 35
    (add 10x to each side)     19x - 3 = 35
    (Now add 3 to each side)      19x = 38
    (now divide both by 19)            x = 2
    We have x. To get y, use either of our starting equations and
    put in a 2 for x.
        2x + 3y = 7
    2 x 2 + 3y = 7
          4 + 3y = 7
   (take 4 from each side) 3y = 3
   (divide each side by 3)   y = 1.
   So x= 2 and y = 1. Our point is (2, 1)
   Third way: Graph both equations on a piece of graph paper and see
    where the lines cross. To graph a line, simply pick a value for x or y
    and figure out the missing one.
    Example:      2x + 3y = 7.
    When y = 3,  2x +  9  = 7 or 2x = -2. Hence x = -1 Plot (-1, 3)
    When y = -1, 2x + -3 = 7 or 2x = 10. Hence x = 5  Plot (5, -1)
    Use a ruler on your graph paper to draw a straight line thru both pts.
    Now do the same for the other equation. Look where they cross -
    it should be at (2, 1).


Scores and current ratings

HERITAGE
Anthony Rocke 8 42.7
Ben Nickson 0 21.3
Steve Nickson 20.0
Kathryn Lewis 0 15.3
Aidan Mallberg 13.3
Emma Lawrence 0 11.3
Colten Bartlette 0 7.3
Ruby Lipschultz 7.3
Dia Balderramos 2.7
Maraya Lucio 0 2.7
Alycia Gonzales Lewis 2.7
Sophie Todaro 1.3
FRIENDLY HILLS (correction)
Some people got number 4 right, and a
few were close on some others.
I'll put solutions out once Heritage has taken the test.
I had a mistake in my formula - fixed.



Oscar Halverson 0 35.3
Cyrus Martin Risch 4 28.7
Nick Wendt 4 24.0
Miles Dunn 4 20.0
Claire Newmark 4 20.0
Nina Kessler 0 18.7
Lucas Lindgren 4 18.7
Dain Dolan 14.7
Sophia Schomer 0 13.7
Lily Pince 4 12.7
Duy Houng 0 12.0
Amario Sisakda 0 10.0
Will Gannon 0 9.3
Stella Warwick 0 8.0
Victoria Dzurilla 0 7.3
Melissa Irwin 4 7.3
Ellyanna Lee 6.7
Charles Cheesebrough 0 4.7

Monday, December 7, 2015

Meet 4 Results


Top 10 or so in SE Metro


1 Hlavka, Jack 6 St Paul Acad 28 28 28 28 112
2 Deneen, John 8 South St Paul 22 28 22 22 94
3 Chang, Richard 8 St Paul Acad 28 20 N/A 28 76
4 Halverson, Oscar 6 Friendly Hills 18 22 18 16 74
5 Path, Ben 8 South St Paul 24 12 16 20 72
6 Finken, Tanner 8 St Thomas Ac. 20 20 16 16 72
7 Rocke, Anthony 8 Heritage 20 N/A 28 18 66
8 Hanson, Sam 8 St Paul Acad 18 14 14 18 64
9 Rivers, Garrett 8 St Thomas Ac. 22 10 12 18 62
10 Mokbel, Abdelrahm 8 St Paul Acad 18 22 N/A 18 58
11 Bhargava, Divya 6 St Paul Acad 18 24 14 N/A 56
12 Zelazo, Sam 6 St Paul Acad 20 14 10 8 52
13 Martin Risch, Cyrus 6 Friendly Hills 16 16 12 8 52
14 Winslow-Brewer, Eli 8 South St Paul 10 22 12 6 50










Team Name A B C Total Year
SPA-Gold 62 66 40 168 620
SSP Maroon 28 46 40 114 466
St Thomas 34 36 34 104 462
SPA-Blue 24 38 12 74 342
Heritage Gold 14 38 14 66 332
Friendly Hills Gold 18 36 12 66 328
SSP White 12 30 10 52 298
Friendly Hills Red8 20 4 32 144
Trinity River Ridge 12 32 12 56 128
Heritage Red 2 8 4 14 76

Sunday, December 6, 2015

Team Correction

You may have noticed I forgot to sort studentss before color-coding them.
Lily will be on Red and Charles will be an alternate.
Dain will be top red and will replace anyone absent from Gold.
Ellyana will be the first alternate and will replace anyone absent from Red.

Monday, November 30, 2015

Answers and team assignments

  1.   What is the slope of 3x-4y=6 ?
      Let’s put it in the slope-intercept form (y=mx+b). That means we need to get y all by itself on the left side of the equation.
      Take away 3x from both sides: -4y = -3x + 6
Now divide everything by -4:     y = ¾ x - 6/4 or y = ¾ x – 3/2.
So the slope is ¾ .
  2.   What point is not on the line that the others are on?
(2,5), (3,8), (4,11), (6,17), (8,20)
There are several ways we can solve this. If you like to draw graphs, do that.
If you understand “slope = rise over the run” that would be easy.
Or if you like charts and patterns we could do that.
Lets do “rise over run.” Rise is how far up, run is how far to the right to the next point.
From (2,5) to (3,8) Rise is 8-5=3. Run is 3-2=1. Slope = 3/1.
From (3,8) to (4,11) Rise is 11-8=3. Run is 4-3=1. Slope = 3/1.
From (4,11) to (6,17) Rise is 17-11=6. Run is 6-4=2. Slope = 6/2 = 3/1.
From (6,17) to (8,20) Rise is 20-17=3. Run is 8-6=2. Slope = 3/2. Aha!! (8,20) is not on the same line!
33.    What is the equation of the line parallel to y = ¾ x – 2 that passes through the point (8,1)?
Parallel lines have the same slope, so our equation will be y = ¾ x + b. All we have to do is figure out b and we have an equation. But it passes through (8,1) which means our equation is true when x=8 and y=1.
So 1 = ¾ (8) + b.
Or 1 = 6 + b. therefore b must be -5. So the equation we were looking for is:
y = ¾ x – 5.
Let’s re-read the question. Is our equation’s line parallel to the given line? You bet – they both have a slope of ¾ . Does it pass through (8,1). Let’s double-check. 1 = ¾ (8) – 5. ¾ of 8 is 6 so does 1=6-5? Yes!
44. What is the equation of thee line perpendicular to y =  ¾ x – 2 that passes through the point (9,1)?
      This is similar to the previous problem but this time the line is perpendicular instead of parallel. To find the slope of the perpendicular, you take the negative reciprocal. So the slope of our line will be -4/3. The equation will be y = -4/3 x + b. We know when x=9, y=1 so to figure out b, we plug those values into our equation:
1 = -4/3 (9) + b
1 = -12 + b
13 = b so our equation is y = -4/3 x + 13
5.5.   Olivia sees a model of a pyramid that has a square base. The base of the pyramid was 6 inches long and the area of each one of the four sides was 12 sq. in. She would like to make her model larger. Her base will be a foot long.
a) If she builds it proportionally, what will be the total area of the 4 sides of her completed pyramid?
Doubling the length will quadruple the area. The area of a side was 12 sq.in. The new area of a side will be 4x12=48. The area of all 4 sides will be 4x48=192 sq. in.
b) How long is each of the 4 edges leading to the top of her pyramid?
Her pyramid has a base of 12” and area of 48 sq. in. Since the formula for the area of a triangle is A = ½ bh,
48 = ½ (12) h 
48 = 6 h
8 = height                  By dividing the triangle in two from top to bottom, we get a right triangle with base 6 and height 8. What is the edge? Use the Pythagorean theorem a2+b2=c2: 62 + 82  = h2.  Hence 36+64 = h2 or 100 = h2 and h the hypotenuse, which is the edge of the pyramid, = 10 in.
  
FRIENDLY HILLS
The only one above zero today was Sophia with 2 points.
These problems required algebra.

Oscar Halverson 50.0
Cyrus Martin Ri 36.0
Nick Wendt 30.0
Sophia Schomer 25.0
Nina Kessler 18.0
Miles Dunn 17.0
Dain Dolan 15.0
Will Gannon 15.0
Duy Houng 13.0
Amario Sisakda 12.0
Lucas Lindgren 11.0
Lily Pince 11.0
Ellyanna Lee 10.0
Charles Cheesebrough 10.0
Melissa Irwin 8.0
Claire Newmark 7.0
Jackson Cercioglu 6.0
Stella Warwick 6.0
Victoria Dzurilla 2.0

HERITAGE
The only ones above zero today were Anthony with 12 and Ben with 2.

Anthony Rocke 69.0
Kathryn Lewis 31.0
Ben Nickson 30.0
Steve Nickson 24.0
Aidan Mallberg 13.0
Emma Lawrence 13.0
Colten Bartlette 5.0
Dia Balderramos 6.0
Maraya Lucio 4.0
Alycia Gonzales Lewis 4.0
Ruby Lipschultz 6.0
Sophie Todaro 2.0

Monday, November 23, 2015

Scores on Nov 23

Names listed by current rank
Friendly Hills

Grade Name P4a
6 Oscar Halverson 12
6 Cyrus Martin Risch 8
6 Nick Wendt 8
6 Sophia Schomer 8
6 Nina Kessler
5 Miles Dunn 4
6 Dain Dolan 2
5 Duy Houng 0
5 Will Gannon 6
5 Amario Sisakda 2
6 Lucas Lindgren 5
5 Charles Cheesebrough 2
5 Ellyanna Lee
7 Lily Pince 7
5 Melissa Irwin 5
5 Claire Newmark 4
5 Jackson Cercioglu
5 Stella Warwick 2
6 Victoria Dzurilla 0
Heritage
Although there is a difference between square miles and miles square, “mi2 ” is an abbreviation for square miles and thus is the correct units.


Anthony Rocke 14
Kathryn Lewis 10
Ben Nickson 8
Steve Nickson 2
Aidan Mallberg 1
Emma Lawrence 4
Colten Bartlette 0
Dia Balderramos 2
Maraya Lucio
Alycia Gonzales Lewis
Ruby Lipschultz 4
Sophie Todaro

Monday, November 16, 2015

Meet 3 Results (Final Update)

These scores do not include the scores for Trinity's Event B

SE-Metro Division

Team 1 2 3          Total
SPA-Gold 156 166 130 452
Saint Thomas 134 122 102 358
SSP Maroon 134 116 102 352
SPA-Blue 102 98 68 268
Heritage Gold 112 86 68 266
Friendly Hills Gold 92 104 66 262
SSP White 120 68 58 246
Friendly Hills Red 64 24 24 112
Trinity 0 0 72 72
Heritage Red 48 14 0 62
Humboldt 0 0 2 2

SE-Metro Top Fifteen


1 Hlavka, Jack 6 St Paul Acad 28 28 28 84
2 Deneen, John 8 South St Paul 22 28 22 72
3 Halverson, Oscar 6 Friendly Hills 18 22 18 58
4 Bhargava, Divya 6 St Paul Acad 18 24 14 56
4 Finken, Tanner 8 St Thomas Acad 20 20 16 56
6 Path, Ben 8 South St Paul 24 12 16 52
7 Chang, Richard 8 St Paul Acad 28 20 N/A 48
7 Rocke, Anthony 8 Heritage 20 N/A 28 48
9 Hanson, Sam 8 St Paul Acad 18 14 14 46
10 Zelazo, Sam 6 St Paul Acad 20 14 10 44
10 Winslow-Brewer, Eli 8 South St Paul 10 22 12 44
10 Rivers, Garrett 8 St Thomas Acad 22 10 12 44
10 Martin Risch, Cyrus 6 Friendly Hills 16 16 12 44
14 Mokbel, Abdelrahm 8 St Paul Acad 18 22 N/A 40
15 Nickson, Steve 8 Heritage 14 14 8 36
15 Wendt, Nick 6 Friendly Hills 12 16 8 36

Heritage


Anthony Rocke 14 14 28
Ben Nickson 4 2 6
Steve Nickson 2 6 8
Kathryn Lewis 6 2 8
Aidan Mallberg 0
Colten Bartlette 0 0 0
Emma Lawrence 0 2 2
Dia Balderramos 0 0 0
Maraya Lucio 0 0 0
Ruby Lipschultz 0 0 0
Alycia Gonzales Lewis 0
Sophie Todaro 0 0 0

Friendly Hills


Oscar Halverson 10 8 18
Cyrus Martin Risch 4 8 12
Nick Wendt 4 4 8
Nina Kessler 0
Miles Dunn 0 2 2
Sophia Schomer 0 4 4
Amario Sisakda 0 2 2
Duy Houng 4 4 8
Charles Cheesebrough 0 2 2
Dain Dolan 4 2 6
Will Gannon 0 2 2
Ellyanna Lee 0 2 2
Victoria Dzurilla 0 0 0
Lily Pince 0 0 0
Claire Newmark 0 0 0
Jackson Cercioglu 0
Lucas Lindgren 0 4 4
Stella Warwick 0 2 2
Melissa Irwin 0 2 2