Definition+&+Description


 * Good but you had to define and describe the same mathematical term..... definition 5pts description 4pts **
 * READING AND WRITING DEFINITIONS **

v Select 5 definitions from the on-line mathematics dictionary at or from any other math glossary or dictionary and copy them. Your job will be to identify: a. the term to be defined. b. the general class word. c. the characteristics.

1. __Cube: __ A prism with six square faces a. //The term to be defined:// a cube. //b. The general class word: //a prism. //c. The characteristics: // it has six square faces.

2. __Hypotenuse: __ The longest side of a right triangle, which lies opposite the vertex of the right angle.

a. //<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;">The term to be defined: //<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;">Hypotenuse. //<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;">b. ////<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;">The general class word: //<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;">side of a right triangle. <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;">c. //<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;">The characteristics: //<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;">it lies opposite the vertex of the right angle.

<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;">3. __<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;">Polygon __<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;">: A geometric figure that is bound by many straight lines such as triangle, square, pentagon, hexagon, heptagon, octagon etc. //<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;">a. the term to be defined: //<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;">a polygon. //<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;">b. the general class word: //<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;">a geometric figure. //<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;">c. the characteristics: //<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;">is bound by many straight lines.

<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;">4. __<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;">Fraction: __<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;"> a rational number of the form a/b where a is called the numerator and b is called the denominator.

**<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 150%;">a. ****//<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 150%;">The term to be defined: //****<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 150%;">fraction. ** **<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 150%;">b. ****//<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 150%;">The general class word: //****<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 150%;">a rational number. ** //<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;">c. //**//<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 150%;">The characteristic: //****<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 150%;">is of the form “a/b” **<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;">where “a” is called the numerator and “b” is called the denominator.

//<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;">5. //<span style="color: windowtext; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%;">[|Quadratic equation:] <span style="color: windowtext; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%; text-decoration: none;">[| An algebraic equation of the second degree (having one or more variables raised to the second power).] [|The general quadratic equation is ax2 + bx + c = 0, in which a, b, and c are constants (or parameters) and ‘a’ is not equal to 0.]

**//<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 150%;">a. //****//<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 150%;">The term to be defined: //****<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 150%;">quadratic equation. ** **//<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 150%;">b. //****//<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 150%;">The general class word: //****<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 150%;">an algebraic equation. ** **//<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 150%;">c. //****//<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 150%;">The characteristic: //****<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 150%;">the equation is of second degree. **

v Using your own words, write 1 definition about any mathematical terms: **__<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 115%;">Polygon: __** **<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 115%;">is geometric figure formed by consecutive segments or lines call sides. **

<span style="color: #e2f6ac; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 150%; margin: 0cm 0cm 0pt 14.2pt; text-indent: -14.2pt;"> v In the text you will find, extract the first paragraph and please find all the characteristics of fractals and underline theme. Also find the adjective and circle them: **<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 115%;">__Characteristics of fractals__//__:__// ** **//<span style="color: #f04ecd; font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 115%;">Adjectives //**

<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">A fractal is "__a rough or fragmented__ <span style="color: windowtext; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%; text-decoration: none;">[|geometric shape] <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;"> that __can be split into parts, each of which is__ (at least approximately) __a reduced-size copy of the whole__," [|[1]]<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;"> a property called <span style="color: windowtext; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%; text-decoration: none;">[|self-similarity] <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">. Roots of mathematically rigorous treatment of fractals can be traced back to functions studied by <span style="color: windowtext; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%; text-decoration: none;">[|Karl Weierstrass] <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">, <span style="color: windowtext; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%; text-decoration: none;">[|Georg Cantor] <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;"> and <span style="color: windowtext; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%; text-decoration: none;">[|Felix Hausdorff] <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;"> in studying functions that were <span style="color: windowtext; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%; text-decoration: none;">[|continuous] <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;"> but not <span style="color: windowtext; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%; text-decoration: none;">[|differentiable] <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">; however, the term [|//fractal//]<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;"> was coined by <span style="color: windowtext; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%; text-decoration: none;">[|Benoît Mandelbrot] <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;"> in 1975 and was derived from the <span style="color: windowtext; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%; text-decoration: none;">[|Latin] [|//fractus//]<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;"> meaning " broken " or " fractured ." A mathematical fractal is based on an <span style="color: windowtext; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%; text-decoration: none;">[|equation] <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;"> that undergoes <span style="color: windowtext; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%; text-decoration: none;">[|iteration] <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">, a form of <span style="color: windowtext; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%; text-decoration: none;">[|feedback] <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;"> based on <span style="color: windowtext; font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%; text-decoration: none;">[|recursion] <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%;">. [|[2]]

** v ** Now write a description of any mathematical word or topic:

**<span style="font-family: 'Arial','sans-serif'; font-size: 12pt; font-weight: normal; line-height: 115%;">__Polygons:__ a closed figure made only with straight lines which forms three or more sides. **