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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. |