Pascal's Triangle and the Binomial Theorem -Partner Activity/Practice(A&B forms)

This is an engaging and collaborative partner activity on Pascal’s triangle and the Binomial Theorem. It consists of 9 sections.

In the first section partners have to generate consecutive rows of the Pascal’s triangle. In the second section each partner has to evaluate three binomial coefficients (here it is used two different notations of the coefficients). Partners are asked to compare their results to see that they have obtained the same answers of their corresponding examples. Section three : each partner is given three problems – it is to determine which is the nth element of the mth row of Pascal’s triangle. Partners compare their results and see that again they have gotten the same answers. Section four: partners have to determine how many terms there are in the expansions of given binomials. Each partner has three problems to solve. Section five: each partner has to find the coefficient of the middle term in the expansion of a given binomial. Section six: each partner will expand completely four binomials. The problems of the partners are similar. In sections seven, eight and nine partners are given one and the same binomial. In section seven, partner A has to determine the coefficient of x and partner B – the coefficient of x^3 in the expansion on the binomial. In the last two sections each partner has to find the nth term of the expansion of the given binomial.

This activity can turn into competitions between groups of two. The resource can be also used as two different forms ( A and B) of independent practice, homework and even as an assessment. (I have included modified pages so that the product to be also used as an independent practice, homework or as an assessment).

Answer keys are included.