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Alice in Fractalland

For Teachers 4th - 8th Standards
Take your class on a field trip to Fractalland where they'll learn all about number and shape patterns. Based on Disney's movie Alice in Wonderland, this resource takes young mathematicians on an adventure as they explore patterns in...
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Exploring the Binomial Theorem

For Teachers 9th - 12th Standards
A comprehensive instructional activity that explores and researches Pascal's triangle and relates its properties to the Binomial Theorem through a variety of lessons. Have the class practice expanding polynomials using the theorem. A few...
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Two-dimensional Number Patterns

For Students 6th - 7th
In this online two-dimensional number patterns activity, learners solve eight in-depth two-dimensional number patterns. Students check their answers as they go.
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Practice: Binomial Expansions

For Teachers 10th - 12th
Practice applying the binomial theorem on this worksheet. It contains five multiple choice and five free response problems. The solutions are provided.
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Pascal's Triangle

For Teachers 7th - 11th
Students explore the concept of Pascal's Triangle. For this Pascal's Triangle lesson, students use an applet called 'Coloring Multiples' to explore Pascal's Triangle. Students develop patterns starting with various numbers in Pascal's...
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Regents Exam - Powers: Binomial Expansions

For Teachers 9th - 12th
In this binomial expansions worksheet, high schoolers solve 8 multiple choice and short answer questions.  Students find a specific term in a given binomial expansion.
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A Triangle Expansion

For Teachers 9th - 12th
Students review the foil method used to multiply two binomials. In this lesson on evaluating algebraic expressions, students are able to identify the coefficient in an algebraic expression, "act out" the foil method of multiplying...
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Binomial Expansion

For Teachers 11th - Higher Ed
In this binomial expansion worksheet, students solve and complete 81 various types of problems. First, they find the given sum and evaluate each factorial notation. Then, students expand each binomial and write only the coefficients....
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For Teachers 6th - 8th
Students, using Pascal's triangle, find the number of items given each day in the song, "The 12 Days of Christmas."
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Number Patterns in Pascal's Triangle

For Teachers 9th - 12th
Students reproduce the first eleven rows of Pascal's Triangle by recalling number patterns. For this math lesson, students are given a series of patterns to work with in order to reproduce Pascal's Triangle. Students are able recognize...
Worksheet
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Pascal's Triangle

For Students 9th - 12th
For this algebra worksheet, students expand Pascal's Triangle and record the requested terms for a given row. There are 4 questions.
Worksheet
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nCr: Combinations

For Students 9th - 12th
In this probability worksheet, high schoolers utilize factorials or Pascal's Triangle to calculate the combination given in the form of nCr. There are 4 questions.
Worksheet
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Easy Worksheet: Pascal's Triangle

For Students 9th - 12th
In this Pascal's Triangle activity, students solve 4 short answer problems. Students shade multiples of a given number on Pascal's Triangle. Students shade rows of Pascal's Triangle using mod eight and mod three.
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Investigation-Pattern/Functions

For Teachers 6th - 8th
Students explore number patterns. In this number patterns and probability math lesson, students work in groups to describe the patterns present in the first five rows of Pascal's Triangle, then write numbers to continue this pattern....
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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. For this geometry lesson, students solve problems using permutations and combinations. They compare the formula for permutation to that of Pascal's...
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Answer to May 2007 Problem High Schools in Fort Collins

For Students 9th - 12th
In this Pascal's Triangle worksheet, learners find the number of routes between schools. The worked out solution is linked to the problem.
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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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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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Finding Remainders in Pascal's Triangle

For Teachers 5th - 6th
Students use clock arithmetic to find remainders. In this patterns in math instructional activity, students explore the relationship between clock arithmetic and remainders using a computer applet. Students also identify patterns in...
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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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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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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...
Lesson Plan
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Patterns in Pascal's Triangle

For Teachers 7th - 9th
Young scholars 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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Easy Worksheet: Special Numbers

For Students 9th - 12th
In this special numbers activity, 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.