26 terms

EMC 5 - Graphing & Interpreting Data

Essential Math Concepts are a reorganization of the Grade 7 California standards into eight categories. The topics comprise 70% of the CST questions.
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coordinate plane
A plane formed by two perpendicular numbered lines called axes.
domain
The set of the first elements of a relation: In the relation {(2,20), (3,30)}, the domain is {2, 3}.
function
A relation in which each element in the domain is matched with only one element of the range: [(1,4) (2,5)] is a function, but [(1,4) (2,4)] is not because the same y value is shared by different x values.
function rule
An equation that describes a function.
line of best fit
A straight line used as a best approximation of all the points in a scatter-plot graph.
linear equation
An equation that can be represented by a straight line on the coordinate plane.
negative correlation
In a scatterplot, a pattern formed from data points shows the values of one variable increase as the values of the other variable decrease.
no correlation
In a scatterplot, data points are scattered, and no pattern can be formed from the points, a correlation of "0"
ordered pair
A pair of numbers used to locate a point on a coordinate plane: (3,2) represents 3 spaces to the right of zero and 2 spaces up.
origin
The point on the coordinate plane where the x-axis and the y-axis intersect, (0,0).
positive correlation
When values of two sets of data increase together.
quadrant
One of the four regions of the coordinate plane.
range
The difference between the greatest and the least numbers in a set of data: The range is 13 because 83-70=13.
relation
A set of ordered pairs: (5,1) (10,2) (15,3).
scatter plot
A graph with points plotted that attempt to show a relationship between two variables.
slope
The measure of the steepness of a line; the ratio of vertical change (rise) to horizontal change (run).
slope-intercept form
A linear equation in the setup of y=mx+b.
solution
The value that makes two sides of an equation equal: y+7=9; 2 is the solution.
system of linear equations
Two or more equations that involve two or more variables: y=2x-1 and y=x+1
vertical line test
If a vertical line crosses two or more points on the graph, the relation is not a function.
x-axis
The horizontal axis on the coordinate plane.
x-coordinate
The first number in an ordered pair: (3, 2) 3 is the x-coordinate
x-intercept
The point where a function line crosses the x-axis.
y-axis
The vertical axis on the coordinate plane.
y-coordinate
The second number in an ordered pair: (3, 2) 2 is the y-coordinate.
y-intercept
The point where a function line crosses the y-axis.