Pascal's triangle Archives - The Nature of Mathematics

Section 12.2: Combinations

September 25, 2015July 17, 2015 by elaine

12.2 Outline

Committee problem
1. definition
2. combination formula
3. deck of cards
Pascal’s triangle
1. n choose r
2. table entries
Counting with the binomial theorem
1. binomial theorem
2. number of subsets

12.2 Essential Ideas

Combinations
A combination of r elements selected from a … See the whole entry

Reference Topics 6-1

May 20, 2024July 9, 2015 by elaine

This is an elementary introduction to polynomials.
http://www.purplemath.com/modules/polydefs.htm

This is an elementary introduction to multiplying polynomials.
http://www.purplemath.com/modules/polymult.htm

This first part of this site provides some practice polynomial terminology, and with working with polynomials. It has some nice links.
http://www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/int_alg_tut25_poly.htm

This … See the whole entry

Section 6.1: Polynomials

September 24, 2015July 9, 2015 by elaine

6.1 Outline

Terminology
1. term
2. polynomial
  1. monomial
  2. binomial
  3. trinomial
3. degree
  1. of a term
  2. of a polynomial
  3. linear
  4. quadratic
4. numerical coefficient
Simplification
1. like terms/similar terms
2. simplify – this is the first of four main processes in algebra
Shortcuts with products
1. FOIL (see

… See the whole entry

Reference Topics 5-2

May 21, 2024July 8, 2015 by elaine

This is a very useful site. You enter any positive integer and it will return a prime factorization of that integer.
http://www.rsok.com/~jrm/factor.html

The Prime Pages; there is a lot here. Articles include the “Guinness book of” prime number records, how … See the whole entry

Individual Research Projects Section 4.5

September 28, 2015July 6, 2015 by elaine

Project 4.7

Build a working model of Napier’s rods.

Project 4.8

Write a paper and prepare a classroom demonstration on the use of an abacus.
Build your own device as a project.

Project 4.9

Write a paper regarding the invention … See the whole entry

Reference Topics 1-1

May 20, 2024June 18, 2015 by elaine

PASCAL’S TRIANGLE:
An interactive version of Pascal’s Triangle.
https://www.transum.org/Maths/Activity/Pascals/Patterns.asp

Here is another site on Pascal’s triangle:
https://www.dcode.fr/pascal-triangle… See the whole entry

Video Links 1-1

August 30, 2015June 18, 2015 by elaine

Videos:

Questions to ask yourself to help with your success in mathematics (time: 4:18)

Problem solving strategies (time 3:10)

Creativity and Problem Solving (time: 8:57)

Here is a short clip showing how to build Pascal’s triangle:??? Pascals triangle … See the whole entry

Problems 1-6
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 … See the whole entry

Section 1.4: Review for Chapter 1

August 30, 2015June 18, 2015 by elaine

Studying for a chapter examination is a personal process, one which nobody else can do for you. Simply take the time to review what you have done.

Here are the new terms in Chapter 1.

Addition law of exponents [1.3]… See the whole entry