Chapter 6 –
Guess and Check – Day 1
POD – Sheet
Cake
Put a couple of solutions on
transparency, discuss and compare
Homework – Pg
133, #5, Page 155 #1
Questions -
Transparency??
QUIZ – From
Look for a Pattern Chapter
First –
finish 2 problems from Look for a pattern Chapter
IN CLASS
-
A gift shop
chain in the Southwest presently sells miniature cactus gardens for $20
each. It costs the chain $10 per garden
for materials, assembling, and packaging.
The chain’s management is considering changing the price per garden to
improve total profits from the gardens.
At the present price the chain sells 200/wk. Marketing consultants have told the chain
that for each decrease of $1 in the present selling price, the chain can sell 5
additional gardens above the 200.
Similarly, for each $ increase in the selling price, the chain will sell
5 gardens few than the 200. (For
example, at a price of $21 each, the chain will sell 195; at a price of $22
each, the chain will sell 190; and so on.)
Management wants to know whether it should raise or lower the selling
price and by how much in order that it’s total income from the gardens will be
as large as possible.
IN CLASS
– Yale Record Club
Yale Record Club made me an offer I
couldn’t refuse. For their cheep, low
price I could buy millions of records, tapes, and compact discs (CDs) and save
millions of dollars. Well, anyway, I
joined. The first month I wanted (and
bought) 3 CDs and the cost was $24.84.
The second month I order 5 for a total of $38.82. Did I mention that the cost covered the CDs
and the shipping and handling? Anyway,
for $31.83, I bought 4 CDs the next month.
I paid $17.85 for 2 discs the next month. I looked through their catalog and picked out
38 more CDs that I wanted to buy sometime.
If I buy all 38 at once, then I only pay the shipping and handling fee 1
time. On the other hand, if I buy them
in smaller groups, well ... What I
really need to know is, how much would it cost to buy all 38 CDs as one order?
Also, what
is the cost of just 1 CD (no shipping
and handling)?
What is the
cost of shipping and handling?
Guess and Check
Powerful
problem solving technique – improves understanding of problem
Need to be
organized – text is very good about organizing tables
●
Guess and check helps you understand the problem.
● It
is guess, check, and refine your guess.
●
Wrong guesses are important steps on the way to solving a problem.
● A
key to guess-and-check is to organize the guesses and the steps you use to
check them.
● Be
ready to start over. As you learn more
by working thru guesses, you may modify your
approach.
● A
major point is that wrong guess are important steps on the way to solving a
problem
● “It
is far better to guess and be wrong than never to have guessed at all”
● Be
careful that your arithmetic is correct on each guess.
●
Guess at an answer and then check your guess.” ... then revise and check again.
IN CLASS - Hidden Coins
Your
classmate hid 9 coins in her desk. You
must guess which coins are hidden. She
hid pennies, nickels, and dimes.
Together, the coins total 53 cents.
If you guess correctly, she will give you all the dimes.
Your friend
is 1 year younger than his older sister.
He is ¼ the age of his dad. Your
friend’s dad is 36 years old, which is 5 years older than your friend’s
mom. You want to figure out your
friend’s sister’s age.
IN CLASS -
There are 6
animals at the wildlife park. Some are
parrots, and the rest are zebras. In
all, the animals have 16 legs. How many
zebras are there at the park?
Can you
solve this using a different problem solving strategy?
IN CLASS - Fixin’ the Bike
Your friend
bought a bicycle and worked to make it better.
He then sold it for $45. How much
did your friend pay for the bicycle if his profit was twice the amount he
originally paid?
IN CLASS - An Open Book
Maya closed
her eyes and opened a 100-page book. She
looked at the page numbers on the two open pages. The product of the page numbers is
3,306. What are the page numbers? (Calculator use may be appropriate)
Assignment - POD – Page 155 - #8
Chapter 6 –
Read pages 147 - 155
Homework: Page