summer math puzzles

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1) Suppose we wish to arrange 5 people {a, b, c, d, e}, standing side by side, for a portrait. How many such distinct portraits (“permutations”) are possible?
2) {a, b, c, d, e} arranging 5 objects, in such a way that “a” is always first. How many different orders count as being distinct.
3) Now suppose we start with the same 5 people {a, b, c, d, e}, but we wish to make portraits of only k = 3 of them at a time. How many such distinct portraits are possible?
4) Finally suppose that instead of portraits (“permutations”), we wish to form committees (“combinations”) of 3 people from the original 5. How many such distinct committees are possible?
5) Suppose we wish to arrange 5 people {a, b, c, d, e} around a circular table. How many such table arrangements are possible? 

I have blogged a few puzzles
that are appropriate for 6th grade on up.

When you go to the blog,
you may want to avoid looking at the answers

until you have given yourself
(or your kids) a chance to try them.

Have fun!

http://mathyoucancounton.blogspot.com/

Math Questions on Jeopardy

Jeopardy had this category on a COLLEGE TOURNAMENT in 2014

Solving by Factoring

Solving by Factoring

THERE ARE VIDEOS TO EXPLAIN THESE
PROBLEMS AT ...(CLICK HERE!)

Sequences and Series - Biscuits - Misc. Puzzles

CLICK ON A IMAGE FOR A LARGER VIEW!

The solution is the small picture below.
Click on it to see the ANSWER!

Christmas Geometry Proofs

coloring maps - euler graphs

 

Sometimes referred to as
NODES and

ARCS

Working with Radicals in Math

A video to show basic Radical Rules(CLICK HERE!) 

A radical site with many examples 
http://math.knepfle.com/radicalintro.htm

Adding Radicals (Video - Click Here!)
http://math.knepfle.com/video_add_radicals.html

Fractions and Radicals (Video - Click Here!)
http://math.knepfle.com/video_two_methods.html

Using Conjugates (Video - Click Here!)
http://math.knepfle.com/video_using_conjugates.html

Another Conjugate Problem (Video - Click Here!)
http://math.knepfle.com/video_problem_45.html

Introducing "i" (Video - Click Here!)
http://math.knepfle.com/video_intro_to_i_01.html

Radicals where "i" appears (Video - Click Here!)
http://math.knepfle.com/video_split_radicals.html

Try these problems.

The smaller picture has the answers

Click on any picture to enlarge

A practical word problems?

A man has a monkey.At present, the man’s age plus the monkey’s age totals 100. The man is now three times as old as the monkey was when the man was 10 years older than the monkey is now.
How old is the man? 

Which Discount is Best?

%%%% SALE %%%% DISCOUNT %%%% SAVE %%%%
When we buy an item "ON SALE" and the store gives
us a discount, say 25% (25% OFF), there are two ways
to find the FINAL PRICE.
I) Multiply the Original (LIST) Price by .25
and then subtract this number (25% of the List Price)
from the LIST PRICE. (Thus, using two steps.)
II) A one step process of Multiply the ORIGINAL PRICE
by .75 and having this product be the Final Price.
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With the above explanation, try this puzzle:

Which of the following two options would
save the most money?
Option #1: You can buy a $90.00
pair of shoes with a single discount of 29%.
OR
Option #2: The same pair of shoes can have
SUCCESSIVE DISCOUNTS of 10% and then 20%.

Try making you decision without performing
any arithmetic calculations.
After you make your choice, then actually
find the Final Prices under each Option.
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AFTER YOU HAVE ATTEMPTED THIS PUZZLE,
you can view the solution by copying  the yellow region below.
*************SOLUTION***************
You were probably surprised to find that
the one 29% discount was the best!

A more Algebraic explanation follows:

Let the LIST PRICE be represented by N.
The first of two discounts,10% off,
can be found by taking the
LIST PRICE TIMES .9 -> .9(N)
Multiplying this .9(N) times .8 results in
(.8)(.9)(N) or (.72)(N)
This is equivalent to an 28% Discount.
*************SOLUTION***************

More Math Fun

CLICK ON A TITLE:

Math Comics
Math Quotes
Arrange numbers so that...
Find the missing number
Hit the target!
Separating the Turkeys
Graph Paper and Number lines for the Smartboard
What number belongs in each area so...
28 divided by 7 can't be 13! CAN IT?
142857 A Magic Number?
Number Fun!
Puzzle: Chess players
Puzzle:How many pages?
Alphametrics
Christmas Puzzles
Hints on solving equations...
Chaos with a ruler, die and pencil!
Combinations - Pascal's Triangle


knepfle.blogspot.com

Animated Whiteboard Presentations

MEAN, MEDIAN and MODE

Please click on video to enlarge!

(Mean Median Mode)

To see a larger view of the video,
Click on the BOTTOM RIGHT CORNER.
  The video will FILL THE SCREEN.
To get BACK to the SMALLER VIEW
HIT the "ESC" button on your keyboard

OTHER VIDEOS:

While listening to the EAGLES "Take it to the LIMIT!" a new

video was begging to be made:

http://math.knepfle.com/take_to_the_limit.html

SOMETHING NEW FOR ME (Animated Whiteboard presentations):

VIDEO - on Problem 45

VIDEO - on Roots and Absolute Values

VIDEO - Adding Radicals

VIDEO - Two Ways to do a Fraction with Radicals

VIDEO - on using Conjugates

VIDEO - on when to simplify a radical

Square Roots - Pre-Calculator

How SQUARE ROOTS were determined before the Calculator:

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