Volume 8 Math Stars Worksheet Page 12
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35Vol. 8 No. 4
1. The numbers 3, 4, 5 are a fundamental
5. Complete the pattern:
Pythagorean triple because
1 , 3 , 5 , ___ , ___, ___ , 13 . . .
2
2
2
3
+ 4
= 5
. The numbers 6, 8, 10 form a
2 2 2
2
Pythagorean triple but not a fundamental one
because they are multiples of 3, 4, 5.
6. In the figure below, what is the perimeter
a) List all the fundamental Pythagorean triples
with the largest number less than 20.
of the shaded figure?
π
(Use
= 3.14)
b) Find a fundamental Pythagorean triple such that
the difference between any two numbers is greater
than one.
2. One-fourth is the same part of one-third as
one-half is of what number?
1 2 3 4 5
3. Which positive integer less than 100 has
the most proper factors?
4. A triangle is a convex polygon that
has no diagonals; a convex quadrilateral has two
diagonals.
Strategy of the Month
a) List the names of all convex polygons with
Noticing patterns helps people solve problems at
three to ten sides. How many diagonals does each
home, at work, and especially in math class! Math
polgon have?
has been called "the study of patterns," so it makes
sense to look for a pattern when you are trying to
b) Predict the number of diagonals that can de
solve a problem. Recognizing patterns helps you to
drawn in a convex polygon with 22 sides.
see how things are organized and to make predic-
tions. If you think you see a pattern, try several
c) Write a rule that gives the number of diagonals
examples to see if using the pattern will fit the
for any convex poygon.
problem situation. Looking for patterns is helpful to
use along with other strategies such as make a list
or guess and check. How can finding a pattern
help you solve this problem?
2
3
4
If 3
=9 , 3
=27 , 3
= 81, the products have 9,7,1
15
respectively in the one's place. If you compute 3
,
what number will be in one's place? Is there a
similar pattern for 4
2
,4
3
, 4
4
...?
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education