Hello and welcome mathematicians of the world, this article will discuss the worksheet one, let’s see. Here are some statements of problems and exercises which have been taken from elementary school textbooks. For each of them: 1) solve the proposed problems. (2) Indicates concepts and mathematical procedures which come into play in the solution. (3) Statements classified into three groups according to the degree of difficulty that you envisage them (easy, intermediate and difficult).

(4) For each problem enunciates two others of the same type, changing the task variables, so that you may seem easier to resolve and another more difficult. (5) Do you think that the statements are sufficiently precise and comprehensible for elementary students? Propose an alternative wording for those exercises that does not seem you sufficiently clear to students. (6) Get a collection of primary school textbooks. Search in this s types not included in this relationship problems. Explains how differ. Set forth in problems in elementary school books: 1. indicates which of the following experiences are considered as random and which not: draw a letter from a Spanish deck and observe if it is gold.

Observe if the sun comes out in the next 24 hours. Put water to cool down and see if it freezes at zero degrees. Throw a shot at a basketball basket and observe if the ball comes to drop an egg from a third floor and see if it breaks when hitting the ground. Continue reading, comes the two calculation. The definite Integral has multiple applications, we will consider some of them: 1. the area between curves 2. The area in polar coordinates 3. The volume of a solid of revolution 4. The centroid of a figure flat 5. 6 Arc length. The area of a surface of revolution 7. The work done to empty ponds 1. AREA between curves should remember that if f is a continuous and non-negative function in a, b, then the area under the graph of f, the axis X and the straight x = and x = b is given by definition: If f (x) is continuous on a, b then, the area bounded by its graph, X and the straight x axis = and x = b is given by: to? f (x) dx? ((f (x) dx a to b b to note: as the formula uses the absolute value of the function, there are two ways to solve it: a) by applying the definition of absolute value for the interval where the graph of the function is on the x-axis and the interval where the graph of the function is under the axis x. b) plotting the function in the given intervalto find those intervals example: 1. find the area bounded by the graph of the solution: the graph shows that the function is negative between – 1.0 and positive values greater than zero.

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