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Alice in Fractalland
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...
Texas Instruments
Exploring the Binomial Theorem
A comprehensive lesson 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 other formulas...
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Two-dimensional Number Patterns
In this online two-dimensional number patterns worksheet, students solve eight in-depth two-dimensional number patterns. Students check their answers as they go.
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Practice: Binomial Expansions
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
Students explore the concept of Pascal's Triangle. In 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
In this binomial expansions worksheet, students 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
Learners 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
In this binomial expansion worksheet, learners 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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Leadership Program in Discrete Mathematics
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
Students reproduce the first eleven rows of Pascal's Triangle by recalling number patterns. In this math lesson plan, students are given a series of patterns to work with in order to reproduce Pascal's Triangle. Students are...
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Pascal's Triangle
In this algebra worksheet, students expand Pascal's Triangle and record the requested terms for a given row. There are 4 questions.
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nCr: Combinations
In this probability instructional activity, learners utilize factorials or Pascal's Triangle to calculate the combination given in the form of nCr. There are 4 questions.
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Easy Worksheet: Pascal's Triangle
In this Pascal's Triangle learning exercise, high schoolers solve 4 short answer problems. Students shade multiples of a given number on Pascal's Triangle. High schoolers shade rows of Pascal's Triangle using mod eight and mod three.
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Investigation-Pattern/Functions
Middle schoolers explore number patterns. In this number patterns and probability math lesson plan, students work in groups to describe the patterns present in the first five rows of Pascal's Triangle, then write numbers to continue this...
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Students use fundamental counting principle to compute combinations and permutations
Learners 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...
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Answer to May 2007 Problem High Schools in Fort Collins
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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Pascal's Triangle
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
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
Learners 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. Learners also identify patterns in Pascal's triangle...
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Coalitions and Pascal's Triangle
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
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
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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Patterns in Pascal's Triangle
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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Easy Worksheet: Special Numbers
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.