Hobby Map Worksheet
6th Grade Math Geometry & The Coordinate System
Hobby Map Worksheet
Name:
Date:
Period:
Your Goal: Personalize your coordinate plane by picking real hobbies, assigning coordinates matching each quadrant rule, plotting your points, and analyzing your map.
All 4 Quadrants & Axes
1 Choose Hobbies & Write Ordered Pairs
Write your specific hobby, then write integer coordinates \((x, y)\) between \(-5\) and \(5\) that obey the location rule.
| Category & Your Choice | Point | Required Location | Ordered Pair \((x, y)\) |
|---|
| | | |
| Favorite Sport / Game | | | |
Choice:
| A | Quadrant I
\((+x, +y)\)
|
( , )
|
|
Creative / Art Hobby
Choice:
| B | Quadrant II
\((-x, +y)\)
|
( , )
|
|
Chill / Reading / Media
Choice:
| C | Quadrant III
\((-x, -y)\)
|
( , )
|
|
Music / Club / Hangout
Choice:
| D | Quadrant IV
\((+x, -y)\)
|
( , )
|
|
Favorite Snack / Food
Choice:
| E | On x-axis
\((x \neq 0, y = 0)\)
|
( , 0 )
|
|
Dream Hobby to Try
Choice:
| F | On y-axis
\((x = 0, y \neq 0)\)
|
( 0, )
|
Remember: The origin \((0,0)\) is the center intersection of both axes.
2 Plot & Label Points
Points A – F
QUADRANT I (+, +) QUADRANT II (-, +) QUADRANT III (-, -) QUADRANT IV (+, -) x y -5 -4 -3 -2 -1 0 1 2 3 4 5 5 4 3 2 1 -1 -2 -3 -4 -5
Draw a clear dot for each point and label it with its letter: A, B, C, D, E, F
3 Coordinate Analysis & Reasoning
Apply reflections, distance, and quadrant concepts
Q1. Reflection Across x-Axis
Look at your Point A in Quadrant I. Write its coordinates:
Point A = ( , )
If you reflect Point A across the x-axis, what are the new coordinates?
Reflected A = ( , )
New Quadrant:
Q2. Distance From Origin
Look at Point E on the x-axis: \((\,x, 0\,)\). Use absolute value to calculate its distance from origin \((0,0)\):
Distance = \(|x| =\) | | = _____ units
Explain why distance is always represented by a positive number:
Q3. Math Detective
A classmate claims: "My hobby point at \((-3, 4)\) is in Quadrant IV because IV has a 4 in it."
Agree Disagree
Which quadrant is \((-3, 4)\) really in? Explain using coordinate signs:
Student Checklist: 6 hobbies selected • 6 ordered pairs recorded • Points A–F plotted & labeled • Questions 1–3 solved
CCSS: 6.NS.C.6 • 6.NS.C.8
