Saturday, March 31, 2012

how do we find surface area and lateral area of pyramids and cones
pyramids are a soild that connects a polygon base to a point

the lateral area formula is perimeter mulipied by the length divided by two.
the surface area is the lateral area pluse the base.
how do we identify soilds?

     soilds have properties like
volume
surface area

    there are two main types of soilds
polyhdra-must have flat faces( prismsa,pyamids,platonic soilds)
how do we solve compound area problems?

by braking up the figure into little figues you remember like squares, triangles and rectangles and using there area formulas

Saturday, March 24, 2012

how do we find the area of a circle?
formula is A = Pi times r squared  or  A = Pi times r times r

Here is an example:










Example 1:
how do we calculate the area of paralleograms,kites and trapizoids?









[IMAGE]Find the area of a parallelogram with a base of 12 centimeters and a height of 5 centimeters.
Solution: A
  A = (12 cm) · (5 cm)
  A = 60 cm2

Find the area of the following kite.


the formula is d1 mulpiplied by d2 divided by 2


The area of a trapezoid is given by the formula

where
b1, b2 are the lengths of each base
h is the altitude (height)
Example 1: Find the area of a parallelogram with a base of 12 centimeters and a height of 5 centimeters. [IMAGE]
Solution: A
  A = (12 cm) · (5 cm)
  A = 60 cm2
Example 1: Find the area of a parallelogram with a base of 12 centimeters and a height of 5 centimeters. [IMAGE]
Solution: A
  A = (12 cm) · (5 cm)
  A = 60 cm2

The area of a trapezoid is given by the formula

where
b1, b2 are the lengths of each base
h is the altitude (height)
how do we calculate the area of a rectangle and a triangle?
the area of a rectangle is found by the formula 
Area =length multiplied by the withe
the area of a triangle is found by the formula
Area= one half base multiplied by height (base multiplied by  height over two)
how do we calculate the area of rectanges and trianges?
the area of a rectange is found by mulpipling the

Monday, March 5, 2012

how do we solve logic problems?
when the conditional and converse are both true it is called biconditional
you solve logic by using ur past inferences and use what is given to find what is a good answer but the answers arent always in your face you got to use your mind
what is a mathematical statement?
a mathematical statement is a statement that can ber judged to be true or false
what is logic?
logic is the tool to determine between true and false

Monday, February 20, 2012

how do we review translations?
you can review translations by going over  your notes about translations and trying out new problems to see if you have grasped the idea of translations
how do we use the other definitions of translations?
you use them to figure out how to get many answers in many different ways
how do we slove composition of transformation problems?
composition of translations: when two or more translations are combined to form a new translation.

In a composition, the first transformation produces an image upon which the second transformation is then performed.
The symbol for a composition of transformations is an open circle.
The notation is read as a reflection in the x-axis following a translation of
(x+3, y+4). Be careful!!! The process is done in reverse!!


You may see various notations which represent a composition of transformations:
could also be indicated by

how do we identify composition of transformations?
given A(3,4) and A1 (-4,7) what is the translation?
translation most likely would mean addition so you add the two points
   (3,4)                                                                                 the translation is   (-1,10) 
+(-4,7)
----------
  (-1,10) 

Saturday, February 11, 2012

how do we graph dilations?

Definition of Dilation
  • Dilation is a similarity transformation in which a figure is enlarged or reduced using a scale factor
Examples of Dilation
  • In the figure shown, triangle ADE is enlarged to triangle ABC using a scale factor 4. Here, A is the center of dilation.

Friday, February 10, 2012

how do you graph rotations?
      a rotation is a trasformation that turns an object around a fixed point
90 degrees          180 degrees     270 degrees
(a,b)--> (-b,a)     (a,b)-->(-a,-b)   (a,b)--> (b,-a)