Binomial expansion problems

• Expanding Binomials, Expanding Your Mind

  Binomial Expansion Exploration. Name: _____ Part 1. In the first part of the exploration, your goal is to use what you know about expanding binomials to expand each binomial below. Do your best to write your answer in standard form (there’s a reason why that we’ll look at later!) a+b 2 . a+b 3 . a+b 4

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• [DOCX File]CT.GOV-Connecticut's Official State Website

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  Once the expansion of the binomial is linked to Pascal’s triangle, students can then apply their results to the expansion of binomials like (x+y)n; (2a + 3b)5; (½+ ½)6; and other problems in which the expansion of a binomial is an appropriate model. Two additional problems involve applications of the Binomial Theorem.

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• [DOC File]Binomial Probability Worksheet II

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  Binomial Probability Worksheet II. Given the number of trials and the probability of success, determine the probability indicated: 1. find P(2 successes) 2. find P(1 success) 3. find P(10 successes) 4. find P(11 successes) 5. find P(4 successes) 6. find P(3 failures) 7. find P(1 failure) 8. find P(at least 3 successes) 9. find P(no more than 3 ...

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• [DOCX File]STANDARDS ADDRESSED IN THIS UNIT - …

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  Know and apply that the Binomial Theorem gives the expansion of (x + y) n. in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined using Pascal’s Triangle. ... Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3.

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• [DOC File]I

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  Eigenfunction Expansion Method: Assume and find coefficients. Special Functions. Classical Orthogonal Polynomials. Gram-Schmidt Orthogonalization Process. Legendre Polynomials. Rodrigues Formula . Three Term Recursion Formlua: Generating Function: , Binomial expansion: Gamma Function: Factorials and double factorials.

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• [DOC File]FIRST YEAR B - Yola

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  Problems using Binomial expansion and general term. V. - Progressions. 8 lectures ; 16 marks. 5.1 Arithmetic Progression (A.P.) Definition of an A.P. Formula for the nth term of an A.P. A.P. with finite number of terms. Sum to n terms of an A.P. Application of the results to life problems ...

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• [DOC File]BINOMIAL EXPANSION INVESTIGATION - Weebly

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  Pascal’s Triangle/Binomial Theorem Investigation Goal: To explore an aspect of math with which you are not deeply familiar OR that you aren’t sure how it may connect to something that interests you. In this investigation you will explore PASCAL’S TRIANGLE. What relationships can you discover? Part A: Pascal’s Triangle. 1.

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• [DOCX File]Pizza Problem Revisited - Connecticut

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  are often referred to as the Binomial Theorem. This activity will show how to use Pascal’s Triangle to find the coefficients of each term in the expansion. Continue to add rows to Pascal’s Triangle below as needed to answer the following problems. 1. 11. 121. 1331. 14641. 15101051. 1615201561. We will examine the powers of the binomial (a+b) n

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• [DOCX File]Mathematics Curriculum Map

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  BINOMIAL EXPANSION. Understanding the Binomial Theorem. Solving problems involving binomial coefficients. Applications of the Binomial Theorem. DIFFERENTIATION. Sketching derivatives. Differentiation from first principals. Rules of differentiation. Interpreting derivatives and second derivatives.

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• [DOCX File]ME-A1 Working with combinatorics Y11

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  The material studied provides the basis for more advanced work, where the binomial expansion is extended to cases for rational values of 𝑛, and applications in calculus are explored. A student: uses concepts of permutations and combinations to solve problems involving counting or ordering ME11-5

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