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Algebra 1 - Unit 1 Representing Relationships Cheat Sheet by

This is for the first unit in Algebra 1

Quanti­tative Reasoning

compare
to explain or show the simila­rities or differ­ences between items or ideas
scenario
an imagined or projected sequence of events
constant
a number or a variable whose value does not change
quantity
measurable attribute of a thing or event
rate
a ratio comparing quantities measured in different units

Labeling

Example finding angle

speed and time

Defining terms

ray
part of a line that has one endpoint and extends indefi­nitely in one direction
line segment
a part of a line that has two endpoints and a specific length
perpen­dicular lines
lines that intersect to form right, or 90-degree, angles
parallel lines
lines that lie in the same plane and do not intersect

Undefined Geometric terms

Defining mathem­atical terms

Rays and Line Segments

 

Writing and Solving Equations in Two Variables

Example

Writing and Graphing Equations in Two Variables

assume
to accept as true without proof
viable
capable of working succes­sfully; practical, realistic, usable, possible
continuous graph
a graph in the coordinate plane made up of connected ines or curves with no breaks
coordinate plane
a graph that has a finite number of data points
ordered pair
the pair of numbers, given in a specific order used to locate a point a coordinate plane

Continuous vs. Discrete Graphs

Introd­uction to Functions

range
the set of output values corres­ponding to the domain values
dependent variable
the variable in a function that represents the output values; the second coordinate in the ordered pairs
function
a relation in which each element of the domain is mapped to (paired with) exactly one element of the range
domain
the set of input values for which the function is defined
relation
a set of ordered pairs
indepe­ndent variable
the variable in a function that represents the input values; the first coordinate in the ordered pairs

Creating an Input/­Output Table of Values

 

Creating an Input/­Output Table of Values

Domain is x-axis, while Range is y-xis

Is it a function? Do the vertical line test

Defini­tions

discrete graph
a graph that has a finite or limited number of data points
function notation
a notation that tradit­ionally replaces the dependent variable in a function with 𝑓𝑓(π‘₯π‘₯), where 𝑓𝑓repr­esents the valueof the dependent variable at a given indepe­ndent value, π‘₯π‘₯
continuous graph
a graph in the coordinate plane made up of connected lines or curves with no breaks

Function Notation

The meaning of

Write a notation yourself

   
 

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