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Two-dimensional Number Patterns
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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The Binomial Theorem
Sometimes, there is a better way. Scholars develop Pascal's triangle as a method to arrive at the coefficients of binomial expansions as an easier method to expand binomials. The learners connect the formula for binomial coefficients to...
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The Binomial Theorem
Investigate patterns in the binomial theorem. Pupils begin by reviewing the coefficients from Pascal's triangle. They look at the individual terms, the sums of the coefficients on a row, and the alternating sum of each row. Individuals...
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Pascal's Patterned Triangle
Fifth graders receive a brief history of Pascal's triangle. As a class the students construct the first few rows of the triangle. The students are then split into groups where they finish a worksheet identifying the total value of each...
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Investigation-Pattern/Functions
Students explore number patterns. In this number patterns and probability math activity, 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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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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Answer to May 2007 Problem High Schools in Fort Collins
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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nCr: Combinations
In this probability worksheet, students utilize factorials or Pascal's Triangle to calculate the combination given in the form of nCr. There are 4 questions.
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Students use fundamental counting principle to compute combinations and permutations
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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Pascal Flower Problems
In this pascal's triangle problems, students locate the pascal flower for four problems and then answer questions regarding each flower located.
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Pascal's Penguins
In this Pascal's Triangle activity, students find missing numbers in a pattern of "triangle penguins." Worksheet has 2 different missing number patterns to solve, each on a different page.
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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.
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Pascal's Triangle
Middle schoolers study Pascal's triangle. They construct their own version of Pascal's triangle, and relate some of the uses for it. While working through this process, students practice their integer multiplication and division skills.
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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
In this math worksheet, students perform the operations of addition and multiplication. They complete the squares modeled after Pascal.
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The Pascal Problem
In this Pascal worksheet, learners begin at the center of a rhombus to identify the number of ways the word "Pascal" may be found. This one-page worksheet contains 1 puzzle. The answer is provided at the bottom of the page.
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Binomial Expansion
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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Regents Exam - Powers: Binomial Expansions
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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Easy Worksheet: Special Numbers
In this special numbers learning exercise, high schoolers 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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Number Patterns in Everyday Life
Examine scenarios involving number patterns. Learners complete a series of activities, including working with Pascal's triangle ando completing chart activities based on different pricing for pizza toppings. An included extension has...
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Sequences and Series
In this sequences and series worksheet, 11th graders solve and complete 9 different problems that include various sequences and series. First, they evaluate each given expression using the binomial theorem. Then, students use Pascal's...
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Investigation - Patterns/Functions
Students will display the first five rows of Pascal's Triangle and discuss in their groups what patterns they see in the rows of numbers. They will give responses and discuss that these numbers form what is called Pascal's Triangle.
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That Rascal Pascal
Fourth graders use the concept of number patterns to complete a portion of Pascal's Triangle as well as identify and describe the patterns represented.
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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.
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