function - ANSWER A relationship from one set (called the domain) to another set (called the range) that assigns to each element of the domain exactly one element of the range
domain ( in a function) - ANSWER the firs
...
function - ANSWER A relationship from one set (called the domain) to another set (called the range) that assigns to each element of the domain exactly one element of the range
domain ( in a function) - ANSWER the first number/element in a set of ordered pairs, in (2,5) 2 is a member of the domain; in (x,y) x is a member of the domain
In a set of ordered pairs each member of the domain must have only one partner in the range to be a function.
range (in a function) - ANSWER the second number/element in a set of ordered pairs, in (2,5) 5 is a member of the range; in (x,y) y is a member of the range
ways to represent functions - ANSWER as a set of ordered pairs
on a T chart (2 column table)
by having two sets (domain and range) and drawing a line connecting each member of the domain with a member of the range
by a number equation ex. f(x) = x+2 = y
by charting the set of ordered pairs on a grid (uses the x and y axis to chart)
common denominator - ANSWER 1/4 & 3/4 have a common denominator (4).
A denominator that is the same in two or more fractions; two or more fractions having the same denominator.
least common multiple (LCM)
least common denominator (LCD) - ANSWER LCM is the smallest number that two or more numbers can be divided into; least common multiple of the denominators of two or more fractions is needed to add fractions.
Multiples of 3: 3,6,9,12,15
Multiples of 5: 5,10,15,20,25
15 is least common multiple (LCM) and therefore the least common denominator (LCD) of 1/3 and 1/5 is 15 so you convert:
1/3 = 5/15
1/5 = 3/15
ratio - ANSWER the quotient of two numbers or quantities showing the relative sizes two numbers or quantities 3/4 or 3:4
3:4 could be used to express 3 girls for every 4 boys
percent - ANSWER ratio where quantity is compared to a hundred parts 1/2 = x/100 = 50%
rate - ANSWER A ratio of two numbers measured in different units.
ex. $ 3.49 a gallon; 55 miles an hour
proportion - ANSWER The relationship of one thing to another in size, amount, etc. Size or weight relationships among structures or among elements in a single structure. An equation stating that two ratios are equal.
ex. a/b = c/d can also be written a:b c:d
translation - ANSWER A shift of a graph horizontally, vertically, or both, which results in a graph of the same shape and size, but in a different position.
When you slide a figure along a line.
rotation - ANSWER A transformation that turns a figure about a fixed point at a given angle and a given direction.
ex. clockwise or anti-clockwise rotation; 90% rotation....
reflection - ANSWER A transformation that "flips" a figure over a mirror or reflection line.
right angle - ANSWER An angle that measures 90 degrees.
acute triangle - ANSWER A triangle that contains only angles that are less than 90 degrees.
obtuse triangle - ANSWER A triangle where one angle measures over 90 degrees.
scalene triangle - ANSWER A triangle with no congruent sides
isosceles triangle - ANSWER A triangle that has 2 equal sides.
equilateral triangle - ANSWER A triangle with three congruent sides
congruent - ANSWER Having the same size and shape
line of symmetry - ANSWER a line that divides a figure into two halves that are mirror images of each other
similar - ANSWER Figures that have the same shape but not necessarily the same size
area - ANSWER A measure of how much surface an object has; length x width
perimeter - ANSWER The distance around a figure
paired numbers - ANSWER Two numbers that are related in a table
vertices - ANSWER The point of intersection of two sides of a polygon. The point of intersection of three edges of a space figure.
edges - ANSWER a line segment where two faces meet
faces - ANSWER A flat surface of a space (3 dimensional) figure.
right triangle - ANSWER a triangle with one right angle
parallel lines - ANSWER lines in the same plane that never intersect
perpendicular - ANSWER Intersecting at or forming right angles
equation - ANSWER A mathematical sentence that contains an equals sign.
expression - ANSWER a group of symbols that make a mathematical statement....example 8 + 7
compatible numbers - ANSWER Numbers that are close in value to the actual numbers and are easy to add, subtract, multiple, or divide mentally.
standard measurement - ANSWER Units agreed upon and by a large number of people.
non standard measurement - ANSWER using items such as floor tiles, cars, the palm of your hand, your fingers, etc. to measure length or distance; activities with non standard measurement are used to teach the concept of what measurement is to young children. This is done prior to teaching the standard measurement units (like inches, feet, yards, miles, metric system...).
array - ANSWER An arrangement of objects in rows and columns
example - ANSWER A simple representative incident or model that clarifies a point.
non-example - ANSWER An example, but the speaker is giving an example of what the term is not
attribute - ANSWER a quality or characteristic belonging to or associated with someone or something; (v.) to assign to, credit with; to regard as caused by or resulting from
manipulatives - ANSWER tactile object used to help students grasp mathematical concept (ex. unifix cubes, base ten blocks, fraction bars or pie charts)
favorable outcomes - ANSWER Outcomes that correspond to a specified event, like those in a probability experiment
unfavorable outcomes - ANSWER Outcomes that are not favorable; once you specify the event for which you are finding the probability, the outcomes for that event are called "favorable outcomes". The other outcomes are called this.
problem solving strategies - ANSWER draw a picture
look for a pattern
systematic guessing & checking
(trying reasonable outcomes and
testing them out)
acting it out
making a table
work a simpler problem (ex. round
the numbers)
working backwards
write a number equation
math skills (strands or areas of study) - ANSWER number, operation, and
quantitative reasoning
patterns, relationships, and
algebraic thinking
geometry and spatial reasoning
measurement
probability and statistics
underlying processed and
mathematical tools
girth - ANSWER distance around something; circumference;
For a box the formula is G=LXWXH
math thinking strategies (metacognitive strategies) - ANSWER use problem solving strategies
reasoning
communicate or talk about math problems
see the math connections in the real world
ordering and comparing - ANSWER place in order (ex. descending or ascending order) and compare the data (analyze the results)
geometry - ANSWER the branch of mathematics involving points, lines, planes, and figures
the study of shapes, angles, sizes
The Greek civilization is associated with the study of geometry and development of mathematical proofs.
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