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Square Roots, Rational & Irrational Numbers, Volume.

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Presentation on theme: "Square Roots, Rational & Irrational Numbers, Volume."— Presentation transcript:

1 Square Roots, Rational & Irrational Numbers, Volume

2  Simplify.  1.) 8²  2.) 12²  3.) 2²  4.) 7²  5.) 4²  6.) 5²

3  Simplify.  1.) 3²  2.) 1²  3.) 10²  4.) 6²  5.) 9²  6.) 11²

4  A number that is the square of an integers a perfect square  The inverse of squaring a number is finding a square root  An irrational number is a number that cannot be written as a ratio of two integers  A rational number is any number that can be written in the form of a/b(they can be written as fractions)

5  Negative numbers can be rational numbers  Fractions are rational numbers  Repeating and terminating decimals are rational numbers  The square root of a number can be rational as long as it is a perfect square

6  Simplify each square root.  1.) √4  2.) √9  3.) √121  Simplify each square root.  4.) √30  5.) √45  6.) √99

7  Identify each number as rational or irrational.  1.) √14  2.) √100  3.) …..  4.) ….

8  Textbook pgs #1-34

9  Find the square root for each of the following.  1.) √366.) √196  2.) √49 7.) √64  3.) √81 8.) √121  4.) √225 9.) √16  5.) √ ) √144

10  Find the area the circles below with the given radii and diameters.  1.) r = 4 cm  2.) d = 10 m  3.) d = 8

11  A three-dimensional figure, or solid, is a figure that does not lie in a plane  A flat surface shaped like a polygon is called a face  Each segment formed by the intersection of two faces is an edge  A prism is a three-dimensional figure with two parallel and congruent polygonal faces, called bases  The height of a prism is the length of a perpendicular segment that joins the bases

12  A cube is a rectangular prism with faces that are squares  A cylinder has two congruent parallel bases that are circles  A cone has one circular base and one vertex  A pyramid is a three-dimensional figure with triangular faces that meet at one point, a vertex, and a base that is a polygon  A sphere is the set of all points in space that are the same distance from a center point

13  Textbook pg. 439 #1-12

14  The volume of a three-dimensional figure is the number of cubic units needed to fill the space inside the figure  A cubic unit is a cube with edges one unit long

15  Volume of a Rectangular Prism V = area of base ∙ height  = length ∙ width ∙ height  ***Area = base ∙ height or length ∙ width  Volume of a Cylinder  V = area of base ∙ height  ***Area(of circle) = πr²

16  Find the volume of each of the following.  1.)2.) 17 cm 20 cm14 cm 8cm

17  Find the volume of each of the following.  3.)4.) 7 m 8 m 2 in 6 in

18  Textbook pgs #1-16 Evens Only

19  Find the area of each of the following.  1.) circle r = 4 mm  2.) square one side = 12 in  3.) triangle b = 10 ft, h = 8 ft


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