Mate

Integration of skills and knowledge

Purpose: applies knowledge and skills acquired in this stage.

Instructions:

1. Areas

1. Used of special products to determine an algebraic expression that correspond to the area of each of the following rectangles whose sides are in terms of x.[pic 1][pic 2][pic 3][pic 4][pic 5][pic 6]

1. Used the special products to determine an algebraic expression that correspond to the area of each of the next square whose sides are in terms of x.[pic 7][pic 8][pic 9][pic 10][pic 11][pic 12]

1. Factor to determine the dimensions of the sides of these rectangles. [pic 13][pic 14][pic 15][pic 16][pic 17][pic 18]

1. Determine a formula to find the area of the rectangle knowing that the length is 7 units less that the height and its width is 7 units more than the height.

1. Volume

1. Used of special products to determine the volume of each of the next figure whose sides are in terms of x.

1. Cube.                                                                     B) Parallelepiped [pic 19][pic 20][pic 21][pic 22][pic 23][pic 24]

1. A tank in form of parallelepiped is filled with water. The tank dimensions are:

Width= x+5, length= x+2, and height= x+7

If we open the faucet, the water level is reduced by 3cm. What is the volume of water remaining in the tank?

1. If you have a square piece of cardboard of x cm side and and you like to make a box without a cover, cut the square of 3cm side at each corner of the cardboard (which will form the tabs that represent the height of the box) What is the expressing representing the volume of the box?

1. Binomial Theorem

1. In order to complete your learning, consult the model known as “Pascal’s Triangle”in Internet or in mathematics books:

1. How do you use Pascal’s triangle?

1. Mentioned some characteristics or properties of Pascal’s Triangle.

1. What is the use of Pascal’s Triangle?

1. Used Pascal’s triangle, to determine the development of the following binomial: (a+b)^2

1. Add a personal reflection you document and save in your evidence portfolio.

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