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# WGU IMC4 Math terms

### WGU Math Stack #71366

Question | Answer |
---|---|

weight | The measure of force of objects exerted by gravitational pull. Used on Earth with mass interchangeably. |

Rectangle Perimeter | P=2l+2w |

area | A measure of the interior of a planar (flat) figure. |

volume | A measure of the interior of a solid; the # of unit cubes necessary to fill the interior of such a solid. |

perimeter | The distance around a figure. |

mass | A quantity of matter, as opposed to weight which is a force exerted by gravitational pull. |

skip counting | Mathematic technique for teaching multiplication. |

rote counting | Counting by memory, but without understanding of actual concrete objects. |

rounding | identify place value, if # to the right is 5 or higher, round place value # up 1 and change all numers to the right of it to zeros. If # to the right is less than 5 than leave place value # alone and change all #s to right to zero. |

prime numbers | Divisible only by 1 and itself. |

Rectangle Area | A=lw |

Triangle Perimeter | P=a+b+c |

Triangle Area | A=1/2 bh |

Circle Perimeter | C=2πr |

Circle Area | A=πr² |

Rectangular solid total surface area | 2lw+2lh+2wh |

Rectangular solid volume | lwh |

Right circular cylinder solid total surface area | 2πr(h + r) |

Right circular cylinder solid volume | πr²h |

Pythagorean Theorum | In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. a²+b²=c² |

Right angle | always 90° |

Sphere total surface area | A=4πr² |

Sphere volume | 4/3πr² |

obtuse | angle measuring more than 90° and less than 180° |

acute | angle measuring less than 90° |

theorem | A statement that can be proved using definitions, postulates, and previously proven theorems. |

straight angle | 180° |

supplementary angles | two positive angles whose sum is 180° |

transversal | a line that intersects two or more lines in the same plane at different points. |

trapezoid | a quadrilateral with only two pair of opposite sides parallel. |

tangent | a line that lies in the same plane as a circle and intersects the circle in exactly one point. |

corresponding angles | angles that occur in the same relative position in each group of four angles created when a tranversal intersects two lines. |

adjacent angles | any two angles that share a common vertex and a common side that seperates them. |

altitude of triangle | the perpendicular line segment from the vertex to the side opposite. |

angle bisector | a ray that divides an angle into two equal angles. |

circumference | distance around a circle |

collinear points | points that lie on the same line |

complementary angles | two positive angles whose sum is 90° |

congruent triangles | triangles that have exactly the same size and shape |

corresponding parts of triangles | the parts of triangles that are in the sames relative positions. |

cube | a square right prism whose lateral edges are the same length as a side of the base. |

cylinder | prism like solid whose bases are circles. |

decagon | ten sided polygon |

degree | measure of an angle |

equiangular triangle(polygon) | triangle with all equal angles. |

equilateral triangle(polygon) | triangle with all sides equal in measure. |

hexagon | a six sided polygon |

hypotenuse | the side opposite the right angle in a right triangle. |

isosceles triangle | a triangle that has at least two sides that are congruent. |

isosceles trapezoid | trapezoid where two legs have equal measures. |

legs of a right triangle | the two sides other than the hypotenuse |

legs of an isosceles triangle | the two equal sides. |

legs of a trapezoid | the nonparallel sides |

linear equation | an equation whose graph is a straight line |

octagon | an eight sided polygon |

parallel lines | two lines that lie on the same plane and never intersect. |

parallelogram | any quadrilateral with both pairs of opposite sides parallel. |

pentagon | a five sided polygon. |

perimeter | the distance around a figure. |

perpendicular lines | lines that intersect to form two right angles. |

ploygon | a closed planar figure with three or more sides, but not infinately many. |

postulate | a statement that is assumed to be true (without proof) |

quadrants | the four regions of the coordinate plane seperated by the x-axis and the y-axis. |

ratio of two numbers a and b | the fraction a/b usually expressed in simplest form. Also denoted a : b. |

rhombus | a quadrilateral with all four sides equal. |

scalene triangle | triangle in which all three sides have different lengths. |

septagon | a seven sided polygon |

x-axis | a horizontal line used to help locate points in a plane. |

y-axis | a vertical line used to help locate points in a plane. |

x-coordinate | the first term of an ordered pair. |

x-intercept | the point where a graph intercepts the x-axis. |

triangle | 3 sided polygon. |

square | a quadrilateral in which all the angles are right angles and all the sides are equal. |

y- coordinate | the second term of an ordered pair. |

y-intercept | the point where a graph intersects the y- axis. |

quadrilateral | four sided polygon |

Order of operations | parenthesis, exponents, multiplication & division (occuring left to right) addition & subtraction. Please Excuse My Dear Aunt Sally |

The sum of a number and 4 | x+4 |

the quotient of a number and 4 | x/4 |

a number quadrupled | 4x |

the product of 4 and a number | 4x |

a number decreased by 4 | x-4 |

four more than a number | x+4 |

A number subtracted from 4 | 4-x |

the sum of the interior angles of a triangle | 180° |

the numerical value when direction or sign is not considered. | absolute value |

associative property | grouping of elements does not make any difference in the outcome. (only for multiplication and addition) |

binominal | an algebraic expression consisting of two terms. |

canceling | in multipication of fractions, dividing the same number into both a numerator and a denominator |

cube root | the number that when multplied by itself twice gives you the original number. Ex. 5 is the cube root of 125. also expressed ³√125=5 |

denominator | everything below the fraction bar in a fraction |

distributive property | the process of distributing the number on the outside of the parenthesis to each number on the inside. a(b+c)=ab+ac |

exponent | a numeral used to indicate the power of a number. |

factor | to find two or more quantities whose product equals the original quantity. |

integer | a whole number, either positive, negative, or zero |

monomial | an algebraic expression consisting of only one term. |

numerator | everything above the fraction bar in a fraction. |

polynomial | an algebraic expression consiting of two or more terms. |

ratio | a method of comparing two or more numbers. a:b, a/b |

repeating decimal | a decimal fraction that continues forever repeating a number or block of numbers. |

simplify | to combine several or many terms into fewer terms. |

square root | the number that when multiplied by itself, gives you the original number. 5 is the square root of 25. √25=5. |

improper fraction | fraction where the numerator is greater than the denominator. ex. 3/2 |

12 inches= | one foot |

3 feet= | one yard |

36 inches= | one yard |

100 centimeters= | one meter |

a kilometer is about | .6 mile |

1,000 kilograms= | 1 metric ton |

1,000 milliliters= | one liter |

kilo | thousand |

hecto | hundred |

deka | ten |

deci | tenth |

centi | hundredth |

milli | thousandth |

2cups= | 1 pint |

2pints= | 1 quart |

4 quarts= | 1 gallon |

16oz= | 1 pound |

365 days= | 1 year |

52 weeks= | 1 year |

10 years= | decade |

100 years= | century |

How do you find the measure of an exterior angle in a triangle? | Add the measure of the two remote interior(non-adjacent angles) ex. interior angle a=43°, and interior angle b=86°so exterior angle d=129° |

change a fraction to a decimal | divide the numerator by the denominator and add necessary zeros. ex. 5/8=.625 |

what is a correct fraction expression of 0.16666? | 1/6 |

How do you arrange decimals in sequence? | add zeros to change each number to the ten-thousandths, then align decimals to compare |

Change a decimal to a percent | move the decimal point two places to the right. ex .55=55% |

change percent to a decimal | move the decimal point two places to the left ex. 250%=2.50=2.5 |

change fractions to percents | change to a decimal then change decimal to a percent. ex. 1/2=.5=50% |

change percents to fractions | drop %, write over 100, reduce if necessary. ex. 13%=13/100 |

mean | total the items and then divide by the number of items. |

mode | The set, class, or classes that appear most, or whose frequency is the greatest. |

median | in a set of numbers it is the middle numer if there is an odd number of items. For an even number of items find the mean of the middle two numbers. |

Permutations | If there are a number of choices to make and the choices are dependent upon order, then _____________ are involved. |

Combinations | If there are a number of successive choices to make and the choices are independent of each other (order not important), then the total number of possible choices are ___________. |

probability formula | P=number of favorable outcomes/number of possible outcomes |

What is the probability that on two consecutive rolls of a die the numbers will be 5 and 6? | 1/36 |

What is the probability of tossing tails four consecutive times with a two-sided fair coin? | 1/16 |

What is the arithmetic mean, mode, and median of the following numbers : 3,5,4,3,4,4,6,7,2? | 42/9, 4, and 4 |

What is the mean weight of seven men if five men weigh 160 pounds and two men 180 pounds? | 165 5/7 pounds |

range | The difference between the largest and the smallest number in a set of numbers. |