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CK-12 Foundation
Pascal's Triangle: Pyramid Blocks
Build a pyramid of sums. An interactive presents the first five rows of Pascal's Triangle as a pyramid. Pupils match missing entries in the pyramid and continue the pattern to determine entries of other rows. The learners use the entries...
Curated OER
Patterns in Pascal's Triangle
Learners examine the patterns that exist in Pascal's Triangle. They explore multiples and factors. Sudents use an applet to create and color the multiples in Pascal's Triangle.
Curated OER
Coalitions and Pascal's Triangle
In this coalitions worksheet, students answer 5 questions involving Pascal's triangle, coalitions, combinations, and the Banzhaf power index.
Alabama Learning Exchange
Binomial Expansion—Shortcut Please
There has got to be a better way; you just have to find it! Given a general binomial to expand with increasing powers, pupils realize that there must be a better way than multiple multiplications. Classmates look for patterns and use...
Curated OER
Series Review Sheet
Save an infinite amount of time and enjoy this pre-made series formula guide. Arithmetic and geometric formulas are all included as well as Pascal's Triangle and examples of how the Binomial Theorem expands.
Curated OER
nCr: Combinations
In this probability learning exercise, learners utilize factorials or Pascal's Triangle to calculate the combination given in the form of nCr. There are 4 questions.
Curated OER
Students use fundamental counting principle to compute combinations and permutations
Students define Pascal's triangle and special notations used to represent nth elements. In this geometry lesson plan, students solve problems using permutations and combinations. They compare the formula for permutation to that of...
Curated OER
Mathematical Treasure Hunt
The hunt is on! Young mathematicians follow clues and complete a series of ten math puzzles as they try to crack Dr. Integer's code and find the location of his hidden treasure.
Curated OER
Probability and Patterns with Pascal
In this Pascal worksheet, students solve word problems dealing with probability and patterns based on Pascal's triangle theory. Students complete 10 problems total.
Curated OER
Exploring Pascal's Triangle and Other Recursive Patterns
Students explore patterns in everyday life and in the mathematic world. They create various concrete examples of patterns and verbally describe these patterns to a fellow student.
Curated OER
I Am Golden
Young scholars become familiar with patterns, the Fibonacci Sequence, and the Golden Ratio. They see how many places these occur. They have practical applications for using the calculator and making charts to extend patterns.
Curated OER
Building Shapes From Numbers
Students experience how to illustrate some of the many connections between number and geometry. Through this 2-3 day focus on square numbers and triangular numbers, students make connections among mathematical topics.
National Council of Teachers of Mathematics
The Math Forum: Pascal's Triangle and Combinations
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.
National Council of Teachers of Mathematics
The Math Forum: Exploring Pascal's Triangle
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.
National Council of Teachers of Mathematics
The Math Forum: Exploring Pascal's Triangle
Contains lessons and activities on Pascal's Triangle at three levels: elementary, intermediate, and advanced.
National Council of Teachers of Mathematics
The Math Forum: Pascal's Triangle and the Ice Cream Cones
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.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Pascal's Triangle and Binomial Expansions
This Math Forum author shows how combinations can be used to identify the pattern in Pascal's Triangle.
Texas Instruments
Texas Instruments: The Binomial Formula: Its Expansion Using Pascal's
This set of questions pertains to the binomial formula and Pascal's triangle. Students will find terms of an expansion and investigate combinations. Questions are short answer, true/false, and multiple-choice; solutions are included.
Math Is Fun
Math Is Fun: Combinations and Permutations
Combinations and permutations are explained clearly, with lots of examples. Includes practice questions.
Texas Instruments
Texas Instruments: Numb3 Rs: Right or Wrong
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...
Mathigon
Mathigon: Combinatorics: World of Math
This lesson focuses on Combinatorics, a branch of mathematics which is about counting. It includes 5 sections: Factorials, Permutations, Combinations, Combinatorics and Pascal's Triangle, and Combinatorics and Probability with examples...
Texas Instruments
Texas Instruments: Using the Ti 83/84 to Explore the Binomial Theorem
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...
Texas Instruments
Texas Instruments: Probably Not!
Students learn to find the theoretical probability of different female/male combinations in a family of kittens. Students will investigate empirical and theoretical probabilities and make a connection to Pascal's triangle and binomial...