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Lesson Plan
Curated OER

Students use fundamental counting principle to compute combinations and permutations

For Teachers 9th - 10th
Students define Pascal's triangle and special notations used to represent nth elements. In this geometry instructional activity, students solve problems using permutations and combinations. They compare the formula for permutation to...
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Worksheet
Curated OER

Answer to May 2007 Problem High Schools in Fort Collins

For Students 9th - 12th
In this Pascal's Triangle instructional activity, students find the number of routes between schools. The worked out solution is linked to the problem.
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Lesson Plan
Curated OER

Pascal's Triangle

For Teachers 4th
Fourth graders explore the patterns of Pascal's Triangle. In this problem solving lesson, 4th graders identify the patterns in the triangle by using the elements and the rule of the triangle.
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Worksheet
Curated OER

Pascal's Triangle

For Students 3rd - 5th
In this Pascal's triangle worksheet, students view Pascal's triangle and complete short answer questions about each row of the triangle. Students complete 6 questions.
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Lesson Plan
Curated OER

Finding Remainders in Pascal's Triangle

For Teachers 5th - 6th
Students use clock arithmetic to find remainders. In this patterns in math lesson, students explore the relationship between clock arithmetic and remainders using a computer applet. Students also identify patterns in Pascal's triangle...
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Worksheet
Curated OER

Coalitions and Pascal's Triangle

For Students Higher Ed
In this coalitions worksheet, students answer 5 questions involving Pascal's triangle, coalitions, combinations, and the Banzhaf power index.
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Lesson Plan
Curated OER

Patterns in Pascal's Triangle

For Teachers 4th
Fourth graders investigate the patterns found in Pascal's Triangle by identifying patterns on different items -- including the teachers clothing, a checker board, a quilt, and a spider web. The students access the referenced computer...
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Lesson Plan
Curated OER

Fibonacci Numbers

For Teachers 5th - 8th
Students calculate the Fibonacci sequence of numbers. Through the use of Fibonacci numbers in flowers, leaves, fruits, vegetables, pine cones, and other forms of nature; students explore how Fibonacci numbers occur in nature. Then they...
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Lesson Plan
Curated OER

Patterns in Pascal's Triangle

For Teachers 7th - 9th
Students 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.
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Worksheet
Curated OER

Easy Worksheet: Special Numbers

For Students 9th - 12th
In this special numbers worksheet, students solve 4 short answer problems. Students find various terms in the Fibonacci sequence, triangular number sequence, and the natural numbers in Pascal's Triangle.
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Lesson Plan
Curated OER

Visuals Patterns in Pascal's Triangle

For Teachers 7th - 12th
Students examine Pascal's Triangle and attempt construct it on their own.  In this visual patterns lesson students explore patterns that exist in Pascal's triangle.
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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.
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Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Pascal's Triangle

For Teachers 4th - 6th
In this lesson plan, students will participate in discussions and activities that will have them explore the number patterns and fractal properties of Pascal's Triangle.
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Activity
Shodor Education Foundation

Shodor Interactivate: Coloring Remainders in Pascal's Triangle

For Students 9th - 10th
In this activity the student will identify number patterns formed in Pascal's triangle when coloring remainders.
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Graphic
Shodor Education Foundation

Shodor Interactivate: Coloring Multiples in Pascal's Triangle

For Students 9th - 10th
In this activity, the student can visually identify number patterns in Pascal's triangle by coloring multiples of a given number.
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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.
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Lesson Plan
PBS

Pbs Mathline: The Smithville Families Lesson Plan [Pdf]

For Teachers 6th - 8th
A coin is used to determine the birth of children and the students are to determine the probability of whether the child is boy/girl. Printable instructional activity.
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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.
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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...
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Unit Plan
Interactive Mathematics

Interactive Mathematics: The Binomial Theorem

For Students 9th - 10th Standards
This tutorial contains detailed information about the Binomial Theorem. Includes practice exercises and interactives.
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Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Patterns in Pascal's Triangle

For Teachers 9th - 10th
Contains a brief outline on Patterns In the Pascal's Triangle.
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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.
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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.
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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.