Grid MoleGridwalkers · the coordinate plane, slope and lines

Pops up at a point on the grid: plotting and reading coordinates, and the distances and figures between them.

Coordinate Geometry

Plotting and reading coordinates, and the distances and figures between them. In MathBound, the free Algebra I adventure game, Grid Mole asks these problems, and the only way past is to solve them.

Part of More topics: taught by some textbooks beyond the usual course.

Play this battle free

10 questions, no sign-up, nothing saved. Climbs from the basics to harder questions.

What you will practice

Distance Between Points. Find the length of a horizontal or vertical segment from its endpoints.
Midpoints and Partitions. Find the midpoint of a segment from its endpoints.
Figures on the Coordinate Plane. Find the area of a rectangle or right triangle whose sides lie along grid lines.

Worked examples

Made by the game’s own question engine. Try each one, then open its steps.

Example 1 · Distance Between Points

A

segment

3

units

long

starts

at

(6, - 7)

and

runs

straight

up .

Where

does

it

end?

$(9, - 7)$
$(6, - 10)$
$(9, - 4)$
$(6, - 4)$

Show the worked steps

$Moving$ $up$ $or$ $down$ $changes$ $only$ $the$ $y -coordinate.$
$- 7 + 3 = - 4,$ $so$ $the$ $segment$ $ends$ $at$ $(6, - 4) .$

Answer: $(6, - 4)$

Example 2 · Midpoints and Partitions

What

is

the

midpoint

of

the

segment

from

(5, - 1)

to

(- 1, - 5) ?

$(- 3, 2)$
$(2, - 3)$
$(4, - 6)$
$(- 3, - 2)$

Show the worked steps

$Average$ $the$ $x -coordinates:$ $\frac{5 + ( - 1 )}{2} = 2 .$
$Average$ $the$ $y -coordinates:$ $\frac{- 1 + ( - 5 )}{2} = - 3 .$
$The$ $midpoint$ $is$ $(2, - 3) .$

Answer: $(2, - 3)$

Example 3 · Figures on the Coordinate Plane

What

is

the

area

of

the

rectangle

with

corners

(- 7, - 3), (3, - 3), (3, 5)

and

(- 7, 5) ?

$99$
$18$
$80$
$36$

Show the worked steps

$The$ $width$ $is$ $3 - (- 7) = 10$ $and$ $the$ $height$ $is$ $5 - (- 3) = 8 .$
$Area:$ $10 \cdot 8 = 80 .$

Answer: $80$

Where it is in your textbook

Textbook	Lessons
MVP Mathematics I (Integrated Math 1)	6.2, 6.7, 8.1, 8.2, 8.3, 8.4
Open Up NC Math 1 (MVP)	8.1, 8.2, 8.3, 8.4

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