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\n\"Easy\n\n
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\nEasy Worksheet: Pascal's Triangle\n

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\n\nFor Students\n\n9th - 12th\n
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\nIn this Pascal's Triangle learning exercise, students solve 4 short answer problems. Students shade multiples of a given number on Pascal's Triangle. Students shade rows of Pascal's Triangle using mod eight and mod three.\n
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Lesson Plan
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\n\"Patterns\n\n
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\nCurated OER\n
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\nPatterns in Pascal's Triangle\n

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\n\nFor Teachers\n\n4th\n
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\nFourth 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...\n
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\n\"Pascal\n\n
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\nCurated OER\n
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\nPascal\n

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\n\nFor Students\n\n4th - 5th\n
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\nIn this math learning exercise, students perform the operations of addition and multiplication. They complete the squares modeled after Pascal.\n
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Organizer
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\n\"Pascal's\n\n
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\nPascal's Triangle\n

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\n\nFor Students\n\n6th - 8th\n
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\nIn this math worksheet, students find the multiples of five that end in 0 or 5. Then they shade the numbers within Pascal's Triangle.\n
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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 Students\n\n9th - 12th\n
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\nIn this algebra worksheet, students expand Pascal's Triangle and record the requested terms for a given row. There are 4 questions.\n
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\n\"Coalitions\n\n
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\nCurated OER\n
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\nCoalitions and Pascal's Triangle\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this coalitions worksheet, students answer 5 questions involving Pascal's triangle, coalitions, combinations, and the Banzhaf power index.\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\n4th\n
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\nFourth 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.\n
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PPT
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\n\"Fluids\n\n
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\nUrbana School District\n
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\nFluids\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nIn 1879, Sir William Crookes discovered the fourth state of matter, plasma. The presentation covers states of matter, phase changes, density, pressure Pascal's Principle, buoyant force, Archimedes' Principle, Bernoulli's Principle,...\n
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Worksheet
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\n\"Modular\n\n
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\nCurated OER\n
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\nModular Addition And Pascal's Triangle\n

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\n\nFor Students\n\n4th - 5th\n
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\nIn this math worksheet, students use the operation of addition to complete Pascal's Triangle. The sheet includes directions to begin the activity.\n
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Worksheet
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\n\"Blanks\n\n
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\nCurated OER\n
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\nBlanks Pascal's Triangle\n

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\n\nFor Students\n\n6th - 8th\n
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\nIn this math activity, students attempt to create Pascal's Triangle with using multiples. The outer hexagons are filled with the number 1 to begin with.\n
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Lesson Plan
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\n\"Leadership\n\n
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\nLeadership Program in Discrete Mathematics\n

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\n\nFor Teachers\n\n6th - 8th\n
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\nStudents, using Pascal's triangle, find the number of items given each day in the song, \"The 12 Days of Christmas.\"\n
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\n\"Measurement\n\n
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\nMeasurement of Pressure and Temperature\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nWe all have standards and scientists are no exception. Presentation covers standard temperature, standard pressure, temperature conversions, and absolute zero. It explains pressure using pascals, mm of mercury, atmosphere, and torr, then...\n
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Instructional Video14:20
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\n\"Binomial\n\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 quickly calculate the coefficients of a binomial expansion. With the first method, he shows the relationship between PascalÕs triangle and the coefficients, and in the second method, he shows an even faster way for...\n
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Handout
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\n\"Series\n\n
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\nSeries Review Sheet\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nSave an infinite amount of time and enjoy this pre-made series formula guide. Arithmetic and geometric formulas are all included as well as Pascal's Triangle and examples of how the Binomial Theorem expands. \n
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Worksheet
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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 Students\n\n11th\n
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\nFor this algebra worksheet, 11th graders solve binomials and trinomials using Pascal's Triangle theorem. They are able to factor out  any amount of higher power without having to factor all the way. There are 3 problems.\n
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Worksheet
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\n\"Pascal\n\n
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\nPascal Flower Problems\n

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\n\nFor Students\n\n10th - Higher Ed\n
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\nIn this pascal's triangle problems, learners locate the pascal flower for four problems and then answer questions regarding each flower located.\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\n6th - 8th\n
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\nIn this math worksheet, middle schoolers read the discussion about the importance of games. They create a game as directed. They also read the rules for the Pascal Triangle.\n
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Worksheet
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\n\"Pascal's\n\n
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\nPascal's Penguins\n

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\n\nFor Students\n\n3rd - 4th\n
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\nIn 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.\n
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Lesson Plan
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\n\"A\n\n
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\nA Triangle Expansion\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nStudents 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...\n
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Worksheet
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\n\"How\n\n
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\nMath Wire\n
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\nHow Many Winter Paths Do You See?\n

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\n\nFor Teachers\n\n6th - 8th\n
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\nIs the path through December, January, and February the only path through winter? Not in a holiday math activity based on Pascal's Triangle! Middle schoolers study a triangle made of the letters from the word winter and decide how...\n
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Lesson Plan
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\n\"Binomial\n\n
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\nBinomial Expansion—Shortcut Please\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nThere 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...\n
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\n\"Cartesian\n\n
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\nCartesian Diver\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nAmaze your scholars with an activity that uses a Cartesian diver to demonstrate Pascal's Law, Archimedes' Principle, and the Ideal Gas Law. Groups then repeat the process and make their own diver move up and down in a bottle.\n
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\n\"Above-Ground\n\n
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\nAbove-Ground Storage Tanks in the Houston Ship Channel\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nIntroduce your class to storage tank failures caused by major storms with an activity that looks at how the concepts of Archimedes' Principle and Pascal's Law affect the storage tanks along the Houston Ship Channel. The background...\n
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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\n10th\n
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\nIn this geometry activity, 10th graders investigate Pascal's Triangles as they relate it to probability problems and geometric problems. They review the theories behind the formulas.\n
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