1.
3.
2.
2
1
2
Y=_(X+4)2
2
Y .X
---=1
25
4
+2
-ID
5.
4.
1
y = -(x+3)+
3
6.
1
4x2
8.
7.
12+ (y+2
+ 32x + 9y2 - 36y + 64 = 0
9.
. 1
i=4
10
3x-y+2=O
it;
-I\)
10.
-r
12.
11.
"0
(x+4f
9
14.
13.
-x + 3y2 + 12y + 12 = 0
+ (y_2)2
4
x= 3(y+
=1
15.
III
2i
10
Ie;
10
-/0
4~ +
19.
18.
17.
16.
1+ 4y - 32 = 0
10
Ie
-25J2+4y-100=O
21.
20.
(x
+ 3) 2
16 .
_
(y - 1)2 = 1
36
-/0
23.
22.
(x + 4)2 + (y - 2l = 36
J2+1+4y=o
25.
9~ + 54x - 41 + 8y - 67 = 0
24.
26.
_X2
9
+ _(Y_+_2_)_2 = 1
36
27.
1
-:x2+4x-y+10=O
2
J2
+ 8x + y - 4y - 16 = 0
Card Sort Activity - Conic Sections
1. Consider cards 1, 3, and 23. What is the easiest way to sort these 3 cards into two
piles? What criterion would be used?
2 .. If you were to sort the 27 cards into three piles, which criterion makes the sorting the
easiest?
3. Sort cards 5, 24, and 25 into two piles. In what sense is your sorting criterion different
from the criterion used in exercises 1 and 2?
4. In what sense are cards 11, 16, and 24' alike?
5. In what sense are cards 3,9, and 22 alike?
6. Sort cards 1,4, 7, 8, 9, 18, 19,22, and 26 into three different piles of3, two different
ways. Place the cards into the following 3 x 3 matrix;A1, A2, and A3 represent one type
of criterion and B1, B2, and B3 represent a different type of criterion.
7. Sort cards 2,6, 12,22,23,24,25,
criterion¥ou used to sort the cards.
and 26 into two piles. Describe carefully the
8. Select a card that satisfies the following "analogies.
a. Card 2 is to card 5 as card 12 is to card
b. Card 13 is to card 12 as card 6 is to card
c. Card 27 is to card 3 as card 16 is to card
n
_
_
.
9. Johnny has sorted cards 2,5, and 17 into one pile and 20,21, and 25 into another pile.
What criterion did Johnny likely use to sort the cards?
10. What are the 5 different types of functions/non-functions involved in the card sorting
activities? What are the 9 different functions/non-functions? What are the 3 different
representations? Form a 9-by-3 matrix using the\numbers of the cards as entries that
organizes the functions/non-functions and their representations.
(C" bc..~k-)
Card Sort Activitv-' #10
Criterion
Criterion
Criterion