Theme Park Map Designer — Unit 7 Culminating Project

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🗺️ Your Mission

The park spans all four quadrants of the coordinate plane. Work through four phases: plot your attractions, reflect rides across axes to create mirrored sections, calculate walking distances between attractions, and finalize your blueprint. Fill in every box, hit Calculate or Check, then complete the checklist and reflection before printing your park blueprint.

Ordered Pairs & Quadrants · 6.NS.6

Plot Your Attractions

Enter (x, y) coordinates for three park attractions — one per quadrant pair. The calculator will tell you which quadrant each attraction is in and plot a preview grid.

Rules: Use integers between −10 and 10. Place at least one attraction with a negative x, one with a negative y, and one in Quadrant I. Avoid (0, 0) — that is the park entrance!

Attraction 1 — Roller Coaster

Attraction 2 — Water Slide

Attraction 3 — Haunted Mansion

Need a hint?

Quadrant I: x positive, y positive (+, +). Quadrant II: x negative, y positive (−, +). Quadrant III: x negative, y negative (−, −). Quadrant IV: x positive, y negative (+, −). Points on the axes are not in any quadrant.

Reflections Across Axes · 6.NS.6b

Mirror the Ride

To save design time, you will mirror an attraction by reflecting it across an axis. Enter any point and choose which axis to reflect across. The calculator shows the new coordinates and explains what changed.

Original x

Original y

Reflect across which axis?

Need a hint?

Reflecting across the x-axis: keep x the same, negate y. Example: (3, 4) → (3, −4). Reflecting across the y-axis: negate x, keep y the same. Example: (3, 4) → (−3, 4). Reflecting across both: negate both. Example: (3, 4) → (−3, −4).

Distance on the Coordinate Plane · 6.NS.8

Measure Walking Distance

Guests walk in straight lines between attractions. If two points share an x-coordinate, the distance is |y₂ − y₁|. If they share a y-coordinate, the distance is |x₂ − x₁|. Enter two points that share one coordinate and calculate the path length.

Tip: To get a valid distance, make sure both points share the same x or the same y (but not both). The calculator will tell you if they do not.

Point A — x

Point A — y

Point B — x

Point B — y

Need a hint?

Absolute value = distance, never negative. |3 − (−5)| = |3 + 5| = |8| = 8. So (2, 3) and (2, −5) are 8 units apart because they share x = 2 and the y-values differ by 8.

Decision & Quick Check · 6.NS.6 · 6.NS.8

Finalize the Blueprint

Make a final layout decision, then pass the quick-check to confirm your understanding.

Quick check 1: What is the distance between (2, 3) and (2, 9)?

Your answer (in units)

Quick check 2: What are the coordinates of (4, −5) reflected across the x-axis?

Reflected x

Reflected y

★

Final Deliverable

Park Blueprint Reflection

Write a 3–5 sentence blueprint summary. Describe where your attractions are located, explain one reflection you used, and state one walking distance. Use your actual coordinates and numbers.

Blueprint Checklist

I plotted three attractions and identified each quadrant.
I reflected a point across an axis and explained what changed.
I calculated a walking distance using absolute value.
I passed both quick checks.
My blueprint summary uses my real coordinates and numbers.

✓

How You Are Scored

Project Rubric

Category	4 — Expert	3 — Proficient	2 — Developing
Plotting & Quadrants	All three points correctly placed and quadrant identified with sign reasoning shown	All quadrants correctly identified	One or two quadrants correct; some sign errors
Reflections	Correct new coordinates and clear explanation of which value changed and why	Correct new coordinates	One coordinate correct or partial reasoning
Distance	Correct distance with absolute-value work shown; explains which coordinate is shared	Correct distance calculated	Attempted with a computation error
Communication	Blueprint summary clearly justifies every number and coordinate used	Summary uses most coordinates	Summary is unclear or missing values