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
Pascal's Triangle
In this geometry lesson, 10th graders investigate Pascal's Triangles as they relate it to probability problems and geometric problems. They review the theories behind the formulas.
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Modular Addition And Pascal's Triangle
In this math worksheet, students use the operation of addition to complete Pascal's Triangle. The sheet includes directions to begin the activity.
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Blanks Pascal's Triangle
For this math worksheet, students attempt to create Pascal's Triangle with using multiples. The outer hexagons are filled with the number 1 to begin with.
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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.
EngageNY
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...
EngageNY
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
Young scholars 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...
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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 activity, students 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. In 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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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.
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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
Young scholars 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 instructional activity, 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, students 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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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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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....
Curated OER
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.
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