Section
1.1 Homework Hints
There are many problems throughout the text labeled
IN YOUR OWN WORDS. Just relax; do not be afraid
to give your opinion. For the most part, these questions
do not have "right" or "wrong" answers. You should spend
about five minutes in answering each of these questions.
Look at Pascal's triangle in Figure 1.4, and focus on
the diagonals.
There are many problems throughout the text labeled
IN YOUR OWN WORDS. Just relax; do not be afraid
to give your opinion. Look at Example 2, and Figure
1.4. Do not worry about using any "correct" terminology
in answering this question, but use your own words.
See Example 5
Problem 8a. Use the 5th row of Pascal's triangle.
Remember the 5th row is the row whose second entry is
5.
Problem 8b . Use row 6.
Problem 9a . Use row 7.
Problem 9b . Use row 8.
See Examples 1 and 2; use Pascal's triangle. Draw the
figure you are working with, and then either label the
number of ways to get to each vertex (as in Example
1), or else count the number of rows and columns from
A to B. For example, in Problem 11 , from A go
up two rows and then over three rows. Start at the top
of Pascal's triangle, and count down two and then over
three to find the entry, which is the correct answer.
See Example 3 and number each vertex. Most of these
locations have irregularities which prevents the efficient
use of Pascal's triangle.
See Example 4 and look for a pattern.
For Problem 18 , if there is 1 penguin, there
is 1 head and 2 feet. If there are 2 penguins, there
are 2 heads and 4 feet. Write a table showing all possibilities
to find the pattern.
For Problem 19 , be sure to read the first two
sentences before you begin.
For Problem 20 , How much to ten (empty) crates
weight?
For Problem 21 , draw a picture.
For Problems 22-23 , think about what you are
reading before you answer.
Look at Pascal's triangle (Figure 1.4) and look for
a pattern.
See Example 3 and number each vertex. Most of these
locations have irregularities which prevents the efficient
use of Pascal's triangle.
These are not typical math problems, but are problems
that require only common sensE. See Examples 6 and 7
for some insight into the general problem-solving
techniques need these problems.
However, as you go through the book be sure you
look at all the examples in the text. If you need hints
for the Level 3 problems, check some sources for help
on the internet (see the LINKS for that particular section.
As a last resort, you can call the author at (707) 829-0606.
On the other hand, the problems designated "Problem
Solving" generally require techniques that do not have
textbook examples.
There are many sources for homework help on the internet.
Algebra.help
Here is a site where technology meets mathematics. You
can search a particular topic or choose lessons, calculators,
worksheets for extra practice or other resources.
http://www.algebrahelp.com/
Ask Dr. Math
Dr. Math is a registered trademark. This is an excellent
site at which you can search to see if your question
has been previously asked, or you can send your question
directly to Dr. Math to receive an answer.
http://mathforum.org/dr/math/
Quick Math
This site provides online graphing calculators. This
is especially useful if you do not have your own calculator.
http://www.quickmath.com/
The Math Forum @ Drexel
This site provides an internet mathematics library that
can help if you need extra help. For additional homework
help at this site, click one of the links in the
right-hand column.
http://mathforum.org/
Mathematics Home Page
Access the Clemens and Alcuins Library of CSB/SJU and
find one of the world's best collections of mathematical
internet sites.
http://library.csbsju.edu/rqs.phtml?subject_id=32
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