Coordinate Plane & Graphs · grades 6–9

Coordinate Plane & Graphs.

From the very first point to the graph of a line — plotting, the four quadrants, distance & reflections, slope, and y = mx + b. With a click-to-plot coordinate grid, an animated step solver, and an engine-graded pad.

The coordinate plane

Plot and name points.

1.1
Axes & ordered pairs
(x, y) — across then up.
1.2
Plot a point
Click where it goes.
1.3
Name a point
Read its coordinates.
1.4
The four quadrants
Signs of x and y.

On the grid

Distance and reflections.

2.1
Points on the axes
A zero coordinate.
2.2
Distance on the grid
Same row or column.
2.3
Reflect a point
Flip across an axis.

Graphing relationships

Tables become lines.

3.1
Plot from a table
Each row is a point.
3.2
A table becomes a line
Points line up.
3.3
Proportional graphs
Through the origin.
3.4
Proportional or not?
Does it pass the origin?

Slope

Rise over run.

4.1
Slope = rise ÷ run
Steepness of a line.
4.2
Slope from two points
(y₂−y₁)/(x₂−x₁).
4.3
Types of slope
+, −, 0, undefined.
4.4
Slope from a graph
Count rise and run.

y = mx + b

Slope-intercept form.

5.1
The y-intercept
Where it crosses the y-axis.
5.2
What y = mx + b means
Slope m, intercept b.
5.3
Graph a line
Start at b, use the slope.
5.4
Write the equation
From a graph to y = mx + b.
5.5
Find a point on the line
Plug in x or y.

Capstone

Read it, plot it, write it.

C1
Read it, plot it, write it
Every graphing skill.

Coordinate Plane & Graphs.

The coordinate plane

Axes & ordered pairs

Plot a point

Name a point

The four quadrants

On the grid

Points on the axes

Distance on the grid

Reflect a point

Graphing relationships

Plot from a table

A table becomes a line

Proportional graphs

Proportional or not?

Slope

Slope = rise ÷ run

Slope from two points

Types of slope

Slope from a graph

y = mx + b

The y-intercept

What y = mx + b means

Graph a line

Write the equation

Find a point on the line

Capstone

Read it, plot it, write it