Activity
National Council of Teachers of Mathematics

The Math Forum: Exploring Pascal's Triangle

For Students K - 1st
Every grade level can learn from Pascal's Triangle, and this site helps make it possible. There are explanations, examples, exercises and printable worksheets available.
Handout
National Council of Teachers of Mathematics

The Math Forum: Pascal's Triangle and Combinations

For Students 9th - 10th Standards
This page gives a description of how to use Pascal's Triangle to determine the total number of possible combinations for a sample set. Also provides a helpful example.
Lesson Plan
National Council of Teachers of Mathematics

The Math Forum: Exploring Pascal's Triangle

For Teachers 3rd - 5th
Contains lessons and activities on Pascal's Triangle at three levels: elementary, intermediate, and advanced.
Activity
National Council of Teachers of Mathematics

The Math Forum: Pascal's Triangle and the Ice Cream Cones

For Students 9th - 10th
Dr. Math explains how Pascal's triangle can be used to determine the possible combinations of ice cream cones that can be made with different numbers of flavors. His response also includes an explanation using combination functions.
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Pascal's Triangle and Binomial Expansions

For Students 9th - 10th
This Math Forum author shows how combinations can be used to identify the pattern in Pascal's Triangle.
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Expanding Binomials and Pascal's Triangle

For Students 9th - 10th Standards
This Math Forum site explains how expanding binomials relates to Pascal's Triangle.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Pascal's Triangle and the Binomial Theorem

For Students 9th - 10th Standards
Nineteen problems present a variety of practice working with Pascal's Triangle and Binomial Theorem. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the...
Activity
Wolfram Research

Wolfram Math World: Pascal's Triangle

For Students 9th - 10th
This site from MathWorld provides great information on Pascal's Triangle. Links are provided throughout for additional information, along with several helpful charts and formulas. This is a good site to check out on the subject.
Activity
National Council of Teachers of Mathematics

The Math Forum: Pascal's Triangle

For Students 9th - 10th
Students can find all sorts of number patterns in Pascal's Triangle.
Activity
National Council of Teachers of Mathematics

The Math Forum: Pascal's Triangle

For Students 3rd - 8th
You will find the triangular numbers in Pascal's triangle.
Activity
Other

Math Pages: Polynomials From Pascal's Triangle

For Students 9th - 10th
This site from Math Pages contains relevant information regarding polynomials from Pascal's Triangle. The information is in-depth and a good knowledge of the subject is advised for better understanding.
Activity
Math Is Fun

Math Is Fun: Pascal's Triangle

For Students 9th - 10th
A detailed explanation of Pascal's trianlge, with lots of examples and patterns described.
Activity
Instituto Latinoamericano de la Comunicacion Educativa

Red Escolar: El Triangulo De Pascal

For Students 9th - 10th
In Spanish. Find out about the life of Blaise Pascal who discovered the famous Pascal triangle. Use their interactive activities to learn how to fill out the Pascal triangle.
Activity
Harvey Mudd College

Mudd Math Fun Facts: Pascal's Triangle

For Students 3rd - 8th Standards
This tutorial defines and and demonstrates Pascal's triangle.
Handout
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Binomial Expansions and Pascal's Triangle

For Students 9th - 10th Standards
This site answers a student's question inquiring about the definition of a binomial expansion, where it would be used, and why.
Activity
Fundación Cientec

Fractales en Su Aula

For Students 9th - 10th
Lesson plans and activities available in Spanish dealing with fractals. Some are also available in English. Activities are step by step and easy to understand. Included topics are the Koch Snowflake, Sierpinski's triangle, and Pascal's...
Whiteboard
ClassFlow

Class Flow: Pascal

For Teachers 3rd - 5th
[Free Registration/Login Required] Students will be able to identify patterned numbers as related to Pascal's Triangle.
Handout
Wikimedia

Wikipedia: Blaise Pascal

For Students 9th - 10th
A Wikipedia encyclopedia article on Blaise Pascal (1623-1662 CE) gives an overview of his contributions to math and physics. It also discusses hisabadonment of the two subjects for religion.
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: Right or Wrong

For Teachers 9th - 10th Standards
Based off of the hit television show NUMB3RS, this lesson helps students draw a connection between binomial expansions, probabilities, combinations, and Pascal's Triangle. The lesson is framed in the context of randomly guessing a number...
Interactive
Mathigon

Mathigon: Alice in Fractal Land

For Students 9th - 10th
When Alice falls down the rabbit hole, she discovers a wonderful world of mathematics: Pascal's triangle, sequences of rabbit generations, and beautiful, never-ending fractals.
Activity
Texas Instruments

Texas Instruments: Using the Ti 83/84 to Explore the Binomial Theorem

For Teachers 9th - 10th
This lesson will introduce students to the binomial theorem through a variety of activities. Pascal's triangle and probabilities will be explored through problem solving. The binomial theorem, combinations formula, and the binomial...
Activity
Texas Instruments

Texas Instruments: Exploring the Binomial Theorem

For Teachers 9th - 10th Standards
Students expand expressions using Pascal's Triangle and verify the results on a Computer Algebra System CAS tool.
Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Expanding Binomials

For Students 9th - 10th Standards
Provides discussion on binomial expansion. Works through an example of this concept and provides example problems.
Activity
Math Notes and Math Tests

Pre Calculus Notes: The Binomial Theorem [Pdf]

For Students 9th - 10th Standards
The resource investigates the binomial theorem. Topics examined are Pascal?s triangle and expanding powers of general binomials. Class notes and examples are included.

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