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\nThe Physics of Fluid Mechanics\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nIn this collection, Pascal’s law, Archimedes’ Principle, and Bernoulli’s Principle aid young engineers in understanding the physics of fluid mechanics. Armed with the knowledge of how forces are applied to fluids, scholars design...\n
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\n\n38\nItems in Assessment Set\n\n
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\n\"Balanced\n\n
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\nBalanced Assessment: Advanced High School Math Packet\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nNineteen resources make up the Balanced Assessment: Advanced High School Math Packet designed to test learners' knowledge in Algebra II, Geometry, and Pre-Calculus classes. To demonstrate their understanding of concepts related to these...\n
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Instructional Video4:49
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\nThe Mathematical Secrets of Pascal’s Triangle\n

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\n\nFor Students\n\n7th - 12th\n\nStandards\n
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\nThis modern animation and discussion of the ancient secrets of Pascal's triangle manages to be topical, engaging, and mathematically deep all at the same time. A great introduction to the power of number theory across multiple math...\n
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Instructional Video8:07
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\n\"Philosophy\n\n
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\nThe School of Life\n
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\nPhilosophy - Blaise Pascal\n

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\n\nFor Students\n\n9th - Higher Ed\n\nStandards\n
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\nBlaise Pascal's pessimism makes way for his readers' optimism, with his famous contemplative work, Pensées. High schoolers watch a short video that summarizes the historical philosopher's worldview and most popular aphorisms.\n
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Interactive
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\n\"Pascal's\n\n
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\nPascal's Triangle: Pyramid Blocks\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nBuild a pyramid of sums. An interactive presents the first five rows of Pascal's Triangle as a pyramid. Pupils match missing entries in the pyramid and continue the pattern to determine entries of other rows. The learners use the entries...\n
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\n\"Alice\n\n
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\nAlice in Fractalland\n

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\n\nFor Teachers\n\n4th - 8th\n\nStandards\n
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\nTake 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...\n
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Lesson Plan
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\n\"Pascal's\n\n
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\nPascal's Triangle\n

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\n\nFor Teachers\n\n7th - 11th\n
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\nStudents explore the concept of Pascal's Triangle. In this Pascal's Triangle lesson plan, students use an applet called 'Coloring Multiples' to explore Pascal's Triangle. Students develop patterns starting with various numbers in...\n
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\n\"Patterns\n\n
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\nPatterns in Pascal's Triangle\n

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\nStudents examine the patterns in Pascal's Triangle. In this recognizing lesson, students view a model of Pascal's Triangle and describe the patterns of the multiples. Students identify the shapes that are made within Pascal's Triangle.\n
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\n\"Archimedes'\n\n
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\nArchimedes' Principle, Pascal's Law and Bernoulli's Principle\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nWhat do Pascal's law, Archimedes' Principle, and Bernoulli's Principle have to do with fluid mechanics? The included PowerPoint presentation provides the basic definitions and equations associated with the three. A set of homework...\n
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\n\"Pascal’s\n\n
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\nPascal’s Triangle and Sierpinski Triangle\n

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\n\nFor Teachers\n\n6th - 11th\n\nStandards\n
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\nYour learners will enjoy this one-page, color-coded poster containing Pascal's triangle and its connection to Sierpinski's triangle. By coloring odd numbers orange and even numbers green on Pascal's triangle a pattern evolves,...\n
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\n\"Number\n\n
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\nNumber Patterns in Pascal's Triangle\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nLearners reproduce the first eleven rows of Pascal's Triangle by recalling number patterns. In this math lesson, students are given a series of patterns to work with in order to reproduce Pascal's Triangle. Learners are...\n
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Instructional Video7:33
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\n\"Which\n\n
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\nWhich Tank Fills First?\n

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\n\nFor Students\n\n9th - Higher Ed\n\nStandards\n
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\nCan your class solve the riddle? A video from the Physics Girl playlist tackles the puzzle of Pascal's Principle. Viewers observe as a series of connected tanks fill up and try to guess which will fill first. The narrator shows the...\n
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\n\"States\n\n
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\nStates of Matter\n

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\nProperties in measurement, pressure and viscosity of solids, liquids, and gases are the main topics covered in this slideshow. The explanations of Pascal's, Bernoulli's, and the Venturi effects are very clear. Easy to understand diagrams...\n
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\n\"Pascal's\n\n
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\nPascal's Theorem\n

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\nIn this Pascal's Theorem worksheet, students prove 1 theorem. Students use GeoGebra to construct lines given three points and prove Pascal's Theorem.\n
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\nWater Fountain\n

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\nThorough instructions are given to guide you through making a demonstration hydraulic pump from two plastic soda bottles. After using the resource to teach your class about Pascal's and Bernoulli's principles, turn them loose in groups...\n
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\nPascal's Patterned Triangle\n

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\nFifth 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...\n
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\n\"Pascal's\n\n
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\nPascal's Penguins\n

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\nIn this addition worksheet, students fill in the numbers inside 7 penguins by adding together the 2 penguins right above each one. Students figure out the sums for each penguin with Pascal's triangle.\n
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\n\"Forces\n\n
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\nForces in Fluids\n

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\nBuoyancy is the fine line between a ship and a submarine. The presentation covers fluid pressure, air pressure, Pascal's Principle, elevation, Archimedes Principle, buoyancy, and Bernoulli's Principle.\n
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\n\"Shamrock\n\n
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\nShamrock Paths\n

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\n\nFor Students\n\n7th - 10th\n\nStandards\n
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\nWhat could St. Patrick's Day and Pascal's triangle possibly have in common? Trace the pattern in a holiday-themed worksheet that prompts learners to find the word shamrock as many times as they can.\n
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\n\"Pascal's\n\n
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\nPascal's Triangle\n

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\nIn this Pascal's triangle instructional activity, students view Pascal's triangle and complete short answer questions about each row of the triangle. Students complete 6 questions.\n
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\n\"Probability\n\n
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\nProbability and Patterns with Pascal\n

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\n\nFor Students\n\n6th - 10th\n
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\nIn this Pascal activity, students solve word problems dealing with probability and patterns based on Pascal's triangle theory. Students complete 10 problems total.\n
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\n\"Patterns\n\n
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\nPatterns in Pascal's Triangle\n

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\nStudents 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.\n
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\nThe Pascal Problem\n

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\nIn 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.\n
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\nFinding Remainders in Pascal's Triangle\n

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\n\nFor Teachers\n\n5th - 6th\n
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\nStudents 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. Students also identify patterns in Pascal's triangle...\n
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