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Instructional Video14:20
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\n\"Binomial\n\n
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\nKhan Academy\n
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\nBinomial Theorem (Part 2)\n

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\n\nFor Students\n\n10th - 12th\n
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\nSal shows two ways to calculate the coefficients of a binomial expansion quickly. The first method shows the relationship between PascalÕs triangle and the coefficients, and the second method shows an even faster way to write the...\n
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Lesson Plan
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\n\"Visuals\n\n
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\nCurated OER\n
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\nVisuals Patterns in Pascal's Triangle\n

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\n\nFor Teachers\n\n7th - 12th\n
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\nStudents examine Pascal's Triangle and attempt construct it on their own.  In this visual patterns instructional activity students explore patterns that exist in Pascal's triangle.\n
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Worksheet
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\n\"Two-dimensional\n\n
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\nCurated OER\n
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\nTwo-dimensional Number Patterns\n

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\n\nFor Students\n\n6th - 7th\n
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\nIn this online two-dimensional number patterns activity, students solve eight in-depth two-dimensional number patterns. Students check their answers as they go.\n
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\n\"The\n\n
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\nEngageNY\n
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\nThe Binomial Theorem\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nSometimes, 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...\n
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eBook
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\n\"Hydraulics\n\n
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\nOpen Oregon Educational Resources\n
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\nHydraulics and Electrical Control of Hydraulic Systems\n

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\n\nFor Students\n\n10th - Higher Ed\n
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\nIt's all systems go for learning about hydraulic systems. An eBook provides a set of videos and exercise questions for a semester-long course on hydraulics. Six units introduce hydraulics, Pascal's law, hydraulic applications, flow...\n
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\n\"The\n\n
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\nEngageNY\n
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\nThe Binomial Theorem\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nInvestigate 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...\n
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Activity
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\n\"Mathematical\n\n
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\nCurated OER\n
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\nMathematical Treasure Hunt\n

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\n\nFor Teachers\n\n3rd - 8th\n\nStandards\n
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\nThe 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.\n
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Instructional Video9:59
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\n\"Fluids\n\n
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\nCrash Course\n
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\nFluids at Rest: Crash Course Physics #14\n

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\n\nFor Students\n\n9th - Higher Ed\n\nStandards\n
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\nKeep the knowledge flowing in your physics classroom! An in-depth video lesson discusses the characteristics of fluids. The narrator includes Pascal's Principle and Archimede's Principle as well as buoyant force. This is the 14th lesson...\n
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\n\"Investigation-Pattern/Functions\n\n
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\nCurated OER\n
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\nInvestigation-Pattern/Functions\n

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\n\nFor Teachers\n\n6th - 8th\n
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\nMiddle 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...\n
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\nCurated OER\n
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\n Students use fundamental counting principle to compute combinations and permutations\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nStudents 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...\n
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\n\"Fibonacci\n\n
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\nCurated OER\n
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\nFibonacci Numbers\n

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\n\nFor Teachers\n\n5th - 8th\n
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\nStudents 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...\n
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Worksheet
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\n\"Answer\n\n
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\nCurated OER\n
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\nAnswer to May 2007 Problem High Schools in Fort Collins\n

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\n\nFor Students\n\n9th - 12th\n
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\nIn this Pascal's Triangle worksheet, students find the number of routes between schools. The worked out solution is linked to the problem.\n
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Worksheet
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\n\"nCr:\n\n
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\nCurated OER\n
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\nnCr: Combinations\n

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\n\nFor Students\n\n9th - 12th\n
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\nIn this probability activity, students utilize factorials or Pascal's Triangle to calculate the combination given in the form of nCr. There are 4 questions.\n
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Lesson Plan
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\n\"Pascal's\n\n
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\nCurated OER\n
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\nPascal's Triangle\n

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\n\nFor Teachers\n\n6th - 8th\n
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\nStudents 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.\n
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\n\"Applied\n\n
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\nCurated OER\n
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\nApplied Science - Physics Pre-Lab\n

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\n\nFor Teachers\n\n3rd - 12th\n
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\nStudents observe fluid motion. In this Physics lesson plan, students explore the principles of Pascal, Archimedes, and Bernoulli. Students list their experiences with fluid movement.\n
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\n\"Practice:\n\n
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\nCurated OER\n
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\nPractice: Binomial Expansions\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nPractice applying the binomial theorem on this worksheet. It contains five multiple choice and five free response problems. The solutions are provided.\n
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Organizer
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\n\"Decimals,\n\n
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\nCurated OER\n
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\nDecimals, Percent and Scientific Notation\n

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\n\nFor Students\n\n9th\n
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\nIn this decimals, percent and scientific notation worksheet, 9th graders solve various types of problems that range from shading an indicated part of a shape to calculating using scientific notation to express their answer. They express...\n
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Worksheet
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\n\"Pressure\n\n
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\nCurated OER\n
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\nPressure\n

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\n\nFor Students\n\n6th - 8th\n
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\nIn this physics worksheet, students use the clues at the bottom of the sheet to complete the crossword related to pressure. There are 15 clues to solve in the puzzle.\n
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\n\"Number\n\n
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\nCurated OER\n
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\nNumber Patterns in Everyday Life\n

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\n\nFor Teachers\n\n4th - 5th\n
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\nExamine 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...\n
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Activity
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\n\"D-Day\n\n
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\nD-Day Normandy 1944\n
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\nD-Day Normandy 1944\n

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\n\nFor Teachers\n\n6th - 12th\n\nStandards\n
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\nNo study of World War II would be complete without an in-depth examination of the events of June 6, 1944. Pascal Vuong's D-Day Normandy:1944, is the perfect vehicle to convey the sheer magnitude of the events that have been called...\n
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\n\"Eisenhower\n\n
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\nCurated OER\n
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\nEisenhower 1/26\n

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\n\nFor Teachers\n\n8th\n
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\nEighth graders identify and explain what Bernoulli's Principle is and draw diagrams to incorporate Pascal. They also perform simple calculations of density, buoyancy, and fluid pressure. Finally, 8th graders describe fluid pressure in...\n
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Worksheet
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\n\"Pascal's\n\n
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\nPascal's Hearts\n

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\n\nFor Students\n\n3rd - 5th\n
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\nIn this math patterns and numbers worksheet, students study and figure out the numbers that belong correctly in 17 hearts. Students determine what numbers would fit appropriately in the 8th row and then describe the pattern utilized.\n
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\n\"Pascal's\n\n
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\nCurated OER\n
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\nPascal's Pumpkins\n

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\n\nFor Students\n\n4th - 5th\n
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\nIn this number pattern learning exercise, students study the pile of pumpkins. Students add the numbers on the pumpkins to determine the pattern and fill in the missing numbers on 8 of the pumpkins shown.\n
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\n\"Binomial\n\n
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\nCurated OER\n
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\nBinomial Expansion\n

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\n\nFor Teachers\n\n11th - Higher Ed\n
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\nIn 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....\n
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