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Instructional Video12:38
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\n\"Binomial\n\n
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\nCurated OER\n
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\nBinomial Theorem (Part 1)\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn this video, the Binomial Theorem is defined and used to expand (a + b) 4.\n
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Instructional Video11:59
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\n\"Binomial\n\n
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\nCurated OER\n
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\nBinomial Theorem (Part 3)\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn this video on the Binomial Theorem, Sal tries to give an intuition behind why combinations are part of its definition. By looking at the expansion of (a + b)3 and carefully looking at where each value originates from, one can see how...\n
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Instructional Video14:20
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\n\"Binomial\n\n
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\nCurated OER\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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\n\nGet Free Access\n\nSee Review\n
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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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\n\nGet Free Access\n\nSee Review\n
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Worksheet
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\n\"The\n\n
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\nCurated OER\n
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\nThe Binomial Theorem\n

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\n\nFor Students\n\n9th - 12th\n
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\nIn this Binomial Theorem activity, students solve 10 different problems that include applying the Binomial Theorem in each.\n
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Worksheet
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\n\"The\n\n
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\nCurated OER\n
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\nThe Binomial Theorem\n

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\n\nFor Students\n\n9th - 12th\n
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\nIn this binomial expansions practice learning exercise, high schoolers utilize the theorem to determine the nth term in the expansion for 10 problems, then expand it completely for an additional 6 problems.\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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Worksheet
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\n\"Senior\n\n
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\nCurated OER\n
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\nSenior Analysis\n

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\n\nFor Students\n\n9th - 12th\n
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\nA good review instructional activity on simplifying rational expressions, solving equations with factorials, solving problems on permutations and combinations, and using the Binomial Theorem.  \n
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\n\nGet Free Access\n\nSee Review\n
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Lesson Plan
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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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Lesson Plan
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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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\n\nGet Free Access\n\nSee Review\n
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Handout
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\n\"Series\n\n
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\nCurated OER\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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\n\nGet Free Access\n\nSee Review\n
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Instructional Video12:42
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\n\"Poisson\n\n
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\nKhan Academy\n
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\nPoisson Process 2, Probability and Statistics\n

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\n\nFor Students\n\n7th - 11th\n
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\nContinuing his discussion of the Poisson Distribution (or Process) from the previous video, Sal takes students through the derivation of the traffic problem he had begun. The math gets gritty in this video as Sal takes out the graphic...\n
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Assessment
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\n\"Mid-Module\n\n
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\nEngageNY\n
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\nMid-Module 3 Assessment Task\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nTime to take a pulse check. The mid-module assessment allows pupils to check where their knowledge falls for the first portion of the module. The 10th resource in a series of 23 covers content from the binomial theorem to hyperbolas....\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\n5th - 11th\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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Worksheet
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\n\"Sequences\n\n
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\nCurated OER\n
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\nSequences and Series\n

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\n\nFor Students\n\n11th\n
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\nIn 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...\n
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Lesson Plan
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\n\"Binomial\n\n
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\nCurated OER\n
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\nBinomial Theorems\n

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\n\nFor Teachers\n\n9th - 11th\n
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\nIn this algebra worksheet, students identify the coefficient and different terms of a binomial. They use binomial expansion to find their answer. There are 7 questions with an answer key.\n
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Instructional Video7:03
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\n\"Proof:\n\n
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\nKhan Academy\n
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\nProof: d/dx(x^n)\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nUsing the binomial theorem and definition of a limit, Sal shows a proof that the derivative of xn equals nxn-1.\n
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Lesson Plan
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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\n9th - 11th\n
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\nIn this algebra worksheet, students expand binomials and identify different terms. They expand the function using the binomial theorem. There are forty-four questions with an answer key.\n
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\n\nGet Free Access\n\nSee Review\n
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Worksheet
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\n\"The\n\n
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\nCurated OER\n
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\nThe Binomial Theorem\n

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\n\nFor Students\n\n10th - 12th\n
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\nStudents simplify 3 series multiplication problems, one fraction , and six matrix problems. They expand 12 binomials,  Students find the specified term of four binomials.\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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Worksheet
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\n\"Binomial\n\n
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\nCurated OER\n
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\nBinomial Expansions 3\n

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\n\nFor Students\n\n11th\n
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\nIn this Algebra II worksheet, 11th graders apply the binomial theorem to expand a binomial and determine a specific term of the expansion.  The one page worksheet contains four problems.  Answers are provided. \n
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Instructional Video4:20
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\nMathispower4u\n
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\nA Discussion: Zero to the Power of Zero - 0^0\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nWhat's the value of 0^0? It turns out that there's a bit of controversy. A short YouTube video describes different interpretations of the value of the expression. It shows the case for 0^0 being undefined and the case for 0^0 being equal...\n
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eBook
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\n\"College\n\n
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\nRice University\n
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\nCollege Algebra\n

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\n\nFor Students\n\n9th - Higher Ed\n\nStandards\n
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\nIs there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...\n
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eBook
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\n\"Algebra\n\n
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\nRice University\n
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\nAlgebra and Trigonometry\n

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\n\nFor Students\n\n10th - Higher Ed\n\nStandards\n
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\nMove on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...\n
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\n\nGet Free Access\n\nSee Review\n
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