Google Classroom Overview and Algebra 1 Unit 3 Study Notes

Vocabulary flashcards covering core Google Classroom features and foundational Texas TEKS Algebra 1 Unit 3 topics (relations, functions, domain, range, slope, forms of linear equations, transformations, and inequalities).

Assignment Hub

A feature in Google Classroom allowing teachers to paperlessly create, distribute, and grade assignments while attaching unique copies of Google Docs, and allowing students to view deadlines and submit work with a single click.

Class Stream

The Google Classroom communication space where students can interact with announcements, ask questions, and leave public or private comments.

Classwork Tab

The section in Google Classroom where resources are organized by topic and linked to a dedicated Google Drive folder for every class.

FERPA

A strict security and privacy law that student and institution data complies with under the Google Workspace for Education infrastructure.

Relation

Any set of ordered pairs $(x, y)$.

Function

A special relation where every input ($x$) maps to exactly one output ($y$), meaning the $x$-values cannot repeat.

Vertical Line Test (VLT)

A test used on graphs stating that if a vertical line passes through more than one point on the graph at any time, the relation is not a function.

Domain

All possible $x$-values (inputs / independent variable) read from left to right on a graph.

Range

All possible $y$-values (outputs / dependent variable) read from bottom to top on a graph.

Discrete Notation

A notation format for separate points listed in brackets, for example: $D = \{1, 2, 3\}$.

Continuous Notation

A notation format for connected lines written as inequalities, for example: $-2 \le x < 5$.

Slope ($m$)

The measure of a line's steepness, calculated as $\frac{\text{Rise}}{\text{Run}}$ or $\frac{\Delta y}{\Delta x}$.

Slope Formula

The algebraic formula used to calculate slope given two coordinates $(x_1, y_1)$ and $(x_2, y_2)$: $m = \frac{y_2 - y_1}{x_2 - x_1}$.

Positive Slope

A line that rises from left to right.

Negative Slope

A line that falls from left to right.

Zero Slope

A flat horizontal line where the slope is $m = 0$.

Undefined Slope

A vertical line wall represented by an equation of the form $x = \text{number}$.

Slope-Intercept Form

The core linear equation $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept.

$y$-intercept ($b$)

The starting value where the line crosses the $y$-axis, written as the coordinate $(0, b)$.

Point-Slope Form

The linear equation $y - y_1 = m(x - x_1)$, used when given one point $(x_1, y_1)$ and the slope ($m$).

Standard Form

The linear equation $Ax + By = C$, where $A$, $B$, and $C$ are integers, and $A$ must be positive.

Linear Parent Function

The base linear function $f(x) = x$ to which linear transformations are applied.

Vertical Shift

A transformation of the parent function where $f(x) + d$ shifts the line up and $f(x) - d$ shifts the line down.

Vertical Stretch

A linear transformation $a \cdot f(x)$ where $|a| > 1$, causing the line to become steeper.

Vertical Compression

A linear transformation $a \cdot f(x)$ where $0 < |a| < 1$, causing the line to become flatter.

Reflection

A linear transformation written as $-f(x)$ that flips the line across the $x$-axis.

Boundary Line

The line graphed in $y = mx + b$ format for an inequality; drawn dashed for $<$ or $>$ and solid for $\le$ or $\ge$.

Test Point Method

A graphing step for linear inequalities where a point such as $(0, 0)$ is substituted into the inequality to determine whether to shade that region or the opposite side.