Loop Stations Wall Posters
Target Check If your previous station answer was:
14
Parallel Lines & Transversals
STATION 1
Objective Alternate Interior Angles
Two parallel lines \(l_1\) and \(l_2\) are intersected by a transversal line \(t\). A pair of alternate interior angles have algebraic measures of:
Angle A \((5x - 18)^\circ\)
Angle B \((3x + 14)^\circ\)
5x - 18° 3x + 14°
Find the value of \(x\).
Next Step: Record your work on your Hunt Tracker sheet. Then search the walls for the station displaying your final answer at the very top!
Target Check If your previous station answer was:
16
Algebraic Proportions
STATION 2
Objective Binomial Proportions
Cross-multiply to solve the algebraic proportion for the unknown variable \(k\):
\[\frac{k - 3}{4} = \frac{k + 6}{7}\]
Strategy Tip: Apply the Distributive Property carefully to both sides after cross-multiplying: \(7(k - 3) = 4(k + 6)\).
What is the value of \(k\)?
Next Step: Record your work on your Hunt Tracker sheet. Then search the walls for the station displaying your final answer at the very top!
Target Check If your previous station answer was:
15
Linear Equations
STATION 3
Objective Parallel Lines & Intercepts
A line passes through the point \((2, 5)\) and is parallel to the line:
\(y = 4x + 5\)
When this new line is written in standard slope-intercept form:
\(y = mx + b\)
What is the value of the \(y\)-intercept (\(b\))?
Next Step: Record your work on your Hunt Tracker sheet. Then search the walls for the station displaying your final answer at the very top!
Target Check If your previous station answer was:
-3
Algebraic Proportions
STATION 4
Objective Multi-Step Proportion
Solve the following proportion for the variable \(m\):
\[\frac{m + 2}{2} = \frac{m - 1}{3}\]
Caution with Signs: Watch your signs when subtracting terms across the equals sign. Keep track of positives and negatives carefully!
What is the exact numerical value of \(m\)?
Next Step: Record your work on your Hunt Tracker sheet. Then search the walls for the station displaying your final answer at the very top!
Target Check If your previous station answer was:
-8
Special Right Triangles
STATION 5
Objective 30°-60°-90° Triangle Rules
In the 30°-60°-90° right triangle shown below, the hypotenuse has a length of 12.
30° 60° 12 y (short leg) x
Ratio Recall: In any 30°-60°-90° triangle, the side lengths follow the exact ratio \(1 : \sqrt{3} : 2\). The hypotenuse is exactly twice the length of the shorter leg!
What is the exact length of the shorter leg \(y\)?
Next Step: Record your work on your Hunt Tracker sheet. Then search the walls for the station displaying your final answer at the very top!
Target Check If your previous station answer was:
6
Polygons & Angles
STATION 6
Objective Polygon Interior Angle Sum
The sum of all interior angles of a convex polygon is:
\(S = 1440^\circ\)
Recall the polygon interior angle sum formula for an \(n\)-sided polygon:
\(S = (n - 2) \cdot 180^\circ\)
How many sides \(n\) does this polygon have?
Next Step: Record your work on your Hunt Tracker sheet. Then search the walls for the station displaying your final answer at the very top!
Target Check If your previous station answer was:
10
Right Triangles
STATION 7
Objective Pythagorean Theorem
In a right triangle, the hypotenuse has length \(c = 26\text{ cm}\) and one leg has length \(a = 10\text{ cm}\).
a = 10 b = ? c = 26
Formula Reference: \(a^2 + b^2 = c^2\). Be sure to isolate \(b^2\) before taking the square root!
What is the exact length of the missing leg \(b\)?
Next Step: Record your work on your Hunt Tracker sheet. Then search the walls for the station displaying your final answer at the very top!
Target Check If your previous station answer was:
24
Algebraic Proportions
STATION 8
Objective Cross-Multiplication
Find the solution to the given proportion equation:
\[\frac{x - 1}{6} = \frac{x + 7}{8}\]
Check Your Work: After solving, substitute your answer back into both sides of the original proportion to verify that both fractions simplify to the same value.
What is the value of \(x\)?
Next Step: Record your work on your Hunt Tracker sheet. Then search the walls for the station displaying your final answer at the very top!
Target Check If your previous station answer was:
25
Coordinate Geometry
STATION 9
Objective Distance Formula
Calculate the exact distance between the two coordinate points:
Point A \((-1, 4)\)
Point B \((2, 0)\)
\(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)
What is the distance between Point A and Point B?
Next Step: Record your work on your Hunt Tracker sheet. Then search the walls for the station displaying your final answer at the very top!
Target Check If your previous station answer was:
5
Linear Equations
STATION 10
Objective Perpendicular Lines
Line \(L_1\) has the equation:
\(y = -\frac{3}{2}x + 1\)
Line \(L_2\) is perpendicular to Line \(L_1\) and passes through the point \((-3, -4)\).
When Line \(L_2\) is written in slope-intercept form \(y = mx + b\):
Key Rule: Perpendicular lines have negative reciprocal slopes: \(m_\perp = -\frac{1}{m}\).
What is the value of the \(y\)-intercept (\(b\)) for Line \(L_2\)?
Next Step: Record your work on your Hunt Tracker sheet. Then search the walls for the station displaying your final answer at the very top!
Target Check If your previous station answer was:
-2
Algebraic Proportions
STATION 11
Objective Solving for Negative Integers
Solve the proportion equation for the variable \(p\):
\[\frac{p + 3}{4} = \frac{p + 5}{3}\]
Algebraic Check: Cross-multiply to obtain a two-step linear equation. Isolate \(p\) on one side carefully!
What is the exact numerical value of \(p\)?
Next Step: Record your work on your Hunt Tracker sheet. Then search the walls for the station displaying your final answer at the very top!
Target Check If your previous station answer was:
-11
Angle Relationships
STATION 12
Objective Angle Addition Postulate
Ray \(\vec{VD}\) lies in the interior of \(\angle CVR\). The two adjacent angles have measures:
\(m\angle CVD\) \((4x - 5)^\circ\)
\(m\angle DVR\) \((x + 17)^\circ\)
If the measure of the total angle is \(m\angle CVR = 72^\circ\):
V R D C x + 17° 4x - 5°
Find the value of \(x\).
Next Step: Record your work on your Hunt Tracker sheet. Then search the walls for the station displaying your final answer at the very top!
Target Check If your previous station answer was:
12
Special Right Triangles
STATION 13
Objective 45°-45°-90° Triangle Rules
In an isosceles right triangle (45°-45°-90°), the hypotenuse measures \(9\sqrt{2}\text{ cm}\).
45° 45° 9√2 leg = ?
Ratio Recall: In any 45°-45°-90° triangle, the sides are in the ratio \(x : x : x\sqrt{2}\).
What is the exact length of one leg of this triangle?
Next Step: Record your work on your Hunt Tracker sheet. Then search the walls for the station displaying your final answer at the very top!
Target Check If your previous station answer was:
9
Similar Figures
STATION 14
Objective Similar Triangle Proportions
Given that \(\triangle ABC \sim \triangle DEF\):
Side AB 4
Side BC 6
Side DE 14
Since corresponding sides of similar triangles are in proportion:
\[\frac{AB}{DE} = \frac{BC}{EF}\]
What is the length of side \(EF\)?
Next Step: Record your work on your Hunt Tracker sheet. Then search the walls for the station displaying your final answer at the very top!
Target Check If your previous station answer was:
21
Triangle Congruence
STATION 15
Objective CPCTC & Congruent Parts
It is given that \(\triangle ABC \cong \triangle DEF\).
By CPCTC (Corresponding Parts of Congruent Triangles are Congruent), corresponding sides must be equal in length.
Side AB \(4x - 11\)
Side DE \(2x + 15\)
Set the corresponding side expressions equal: \(4x - 11 = 2x + 15\).
What is the value of \(x\)?
Next Step: Record your work on your Hunt Tracker sheet. Then search the walls for the station displaying your final answer at the very top!
Target Check If your previous station answer was:
13
Parallel Lines
STATION 16
Objective Same-Side Interior Angles
Two parallel lines are cut by a transversal. A pair of same-side (consecutive) interior angles are given by:
Angle 1 \((11x + 10)^\circ\)
Angle 2 \((9x + 30)^\circ\)
Important Relationship: Same-side interior angles are NOT congruent—they are supplementary! Their sum equals \(180^\circ\).
What is the value of \(x\)?
Next Step: Record your work on your Hunt Tracker sheet. Then search the walls for the station displaying your final answer at the very top!
Target Check If your previous station answer was:
7
Algebraic Proportions
STATION 17
Objective Binomial Distribution
Solve the proportion equation for the variable \(y\):
\[\frac{y - 2}{3} = \frac{y + 8}{5}\]
Cross-Multiply: \(5(y - 2) = 3(y + 8)\). Distribute completely before gathering like terms.
What is the exact value of \(y\)?
Next Step: Record your work on your Hunt Tracker sheet. Then search the walls for the station displaying your final answer at the very top!
Target Check If your previous station answer was:
17
Special Right Triangles
STATION 18
Objective 30°-60°-90° Radical Properties
In a 30°-60°-90° right triangle, the longer leg (opposite the \(60^\circ\) angle) has a measure of \(10\sqrt{3}\).
30° 60° 10√3 y Hypotenuse = ?
Two-Step Strategy:
Step 1: Divide the longer leg by \(\sqrt{3}\) to find the shorter leg.
Step 2: Multiply the shorter leg by \(2\) to find the hypotenuse.
What is the exact length of the hypotenuse?
Next Step: Record your work on your Hunt Tracker sheet. Then search the walls for the station displaying your final answer at the very top!
Target Check If your previous station answer was:
20
Algebraic Proportions
STATION 19
Objective Multi-Step Solving
Solve the proportion equation for the unknown variable \(n\):
\[\frac{n + 7}{5} = \frac{n + 1}{2}\]
Hint: After cross-multiplying, set \(2(n + 7) = 5(n + 1)\). Expand both expressions and isolate \(n\).
What is the exact value of \(n\)?
Next Step: Record your work on your Hunt Tracker sheet. Then search the walls for the station displaying your final answer at the very top!
Target Check If your previous station answer was:
3
Final Loop Station
STATION 20
Objective Loop Closure Proportion
Solve the proportion equation for the variable \(z\):
\[\frac{z - 2}{4} = \frac{z + 4}{6}\]
Loop Verification Note: The answer you find here should lead directly to the target header at Station 1! If you started at Station 1 and followed the entire trail, this completes your full 20-station loop!
What is the exact value of \(z\)?
Next Step: Record your work on your Hunt Tracker sheet. Then search the walls for the station displaying your final answer at the very top!
Hunt Tracker Student Workspace
CP Geometry & Proportions Self-Checking Loop
Loop Detectives: 20-Station Hunt
Student Workspace
Student Name
Date
Period
Assigned Start
Protocol: Solve at your station → find answer on next poster header → loop back to start!
Scale: 1: Lost 2: Shaky 3: Solid 4: Master
STATION 1 Alternate Interior Angles (\(5x - 18 = 3x + 14\))
Target:
Conf: 1 2 3 4
Answer:
STATION 2 Binomial Proportion (\(\frac{k - 3}{4} = \frac{k + 6}{7}\))
Target:
Conf: 1 2 3 4
Answer:
STATION 3 Parallel Line \(y\)-Int through \((2, 5)\) to \(y = 4x + 5\)
Target:
Conf: 1 2 3 4
Answer:
STATION 4 Multi-Step Proportion (\(\frac{m + 2}{2} = \frac{m - 1}{3}\))
Target:
Conf: 1 2 3 4
Answer:
STATION 5 30°-60°-90° Triangle (Hypotenuse = 12, short leg \(y\))
Target:
Conf: 1 2 3 4
Answer:
Geometry & Proportions Scavenger Hunt Page 1 of 4 • Stations 1 to 5
Loop Detectives: Stations 6 – 10
Rate your confidence (1 to 4) after each station!
STATION 6 Polygon Interior Angle Sum (\(S = 1440^\circ\), find sides \(n\))
Target:
Conf: 1 2 3 4
Answer:
STATION 7 Pythagorean Theorem (\(c = 26\), \(a = 10\), find leg \(b\))
Target:
Conf: 1 2 3 4
Answer:
STATION 8 Cross-Multiply Proportion (\(\frac{x - 1}{6} = \frac{x + 7}{8}\))
Target:
Conf: 1 2 3 4
Answer:
STATION 9 Distance Formula between \(A(-1, 4)\) and \(B(2, 0)\)
Target:
Conf: 1 2 3 4
Answer:
STATION 10 Perpendicular Line \(y\)-Int through \((-3, -4)\) to \(y = -\frac{3}{2}x + 1\)
Target:
Conf: 1 2 3 4
Answer:
Geometry & Proportions Scavenger Hunt Page 2 of 4 • Stations 6 to 10
Loop Detectives: Stations 11 – 15
Rate your confidence (1 to 4) after each station!
STATION 11 Proportion with Negative Solution (\(\frac{p + 3}{4} = \frac{p + 5}{3}\))
Target:
Conf: 1 2 3 4
Answer:
STATION 12 Angle Addition Postulate (\((4x - 5) + (x + 17) = 72^\circ\))
Target:
Conf: 1 2 3 4
Answer:
STATION 13 45°-45°-90° Triangle (Hypotenuse = \(9\sqrt{2}\), find leg)
Target:
Conf: 1 2 3 4
Answer:
STATION 14 Similar Triangles (\(\triangle ABC \sim \triangle DEF\), find \(EF\))
Target:
Conf: 1 2 3 4
Answer:
STATION 15 Congruent Triangles & CPCTC (\(4x - 11 = 2x + 15\))
Target:
Conf: 1 2 3 4
Answer:
Geometry & Proportions Scavenger Hunt Page 3 of 4 • Stations 11 to 15
Loop Detectives: Stations 16 – 20 & Reflection
Final Stations & Self-Assessment
STATION 16 Same-Side Interior (\((11x+10)+(9x+30)=180^\circ\))
Target:
1 2 3 4
Answer:
STATION 17 Proportion (\(\frac{y - 2}{3} = \frac{y + 8}{5}\))
Target:
1 2 3 4
Answer:
STATION 18 30°-60°-90° Triangle (Long leg = \(10\sqrt{3}\), find hyp)
Target:
1 2 3 4
Answer:
STATION 19 Proportion (\(\frac{n + 7}{5} = \frac{n + 1}{2}\))
Target:
1 2 3 4
Answer:
STATION 20 Loop Closure Proportion (\(\frac{z - 2}{4} = \frac{z + 4}{6}\))
Target:
1 2 3 4
Answer:
Loop Verification & Reflection
Returned to starting station? [ ] YES! [ ] NO
1: Lost Tally: _____
2: Shaky Tally: _____
3: Solid Tally: _____
4: Master Tally: _____
1. Which topic felt the easiest or most confident today? Why?
2. Which station posed the biggest challenge, and what mistake or hint helped you overcome it?
3. What is your #1 review priority before the exam?
Geometry & Proportions Scavenger Hunt Page 4 of 4 • Stations 16 to 20 & Reflection
Loop Master Teacher Guide
Teacher Facilitation Guide CP Geometry & Proportions
Loop Master: Facilitation & Solutions Guide
20-Station Circular Loop Collaborative Review
How the Self-Checking Circular Loop Works
This activity is a closed-loop classroom walk. Each wall poster features a Target Check Header at the top (the answer to a prior station) and a Challenge Problem in the body.
1. Staggered Start
Assign pairs/trios across stations 1–20 to prevent bottlenecks. Students record their assigned starting station.
2. Solve & Hunt
Teams solve their station's problem, then search classroom walls for the poster displaying that answer at the top.
3. Loop Closure
After completing all 20 stations, the final problem leads directly back to their starting station!
Pacing Options by Schedule Block
45-50 Min Period Sprint
Run in partners. Goal: complete 10–12 stations or divide room into two synchronized 10-station loops if time is tight.
60-70 Min Period Recommended
5 min intro → 45 min active hunting → 10 min student self-reflection and metacognitive confidence audit.
85-90 Min Block Full Depth
Complete all 20 stations, conduct peer error analysis, and run station-based targeted micro-workshops.
Differentiation & Group Roles
Heterogeneous Partnering: Pair a student strong in algebraic manipulation (proportions) with a visually strong student (geometric figures and angle pairs) to maximize peer coaching.
Four-Tier Reflection Accountability: Encourage honest self-scoring. Remind students that Level 1 or 2 ratings provide crucial diagnostic data for targeted review before the unit test.
Teacher Prep & Wall Placement Checklist:
- Hang stations out of numerical order around the room so students cannot just walk to the adjacent poster.
- Ensure clips, clipboards, or hard surfaces are available for tracking sheets.
- Post stations at eye level with at least 4–6 feet of buffer between posters.
- Have calculators accessible for square roots and proportion cross-checks.
Geometry Proportions Scavenger Hunt Facilitation Guide Page 1 of 4 • Mechanics & Deployment
Master Loop Verification Table
Quick-reference cheat sheet for real-time classroom roaming
Continuous 20-Station Circuit
| Station |
Core Objective |
Card Target (In) |
Key Equation / Model |
Solution (Out) |
Next Station |
| 1 |
Alternate Interior Angles |
14 |
5x - 18 = 3x + 14 |
16 |
→ 2 |
| 2 |
Binomial Proportion |
16 |
7(k - 3) = 4(k + 6) |
15 |
→ 3 |
| 3 |
Parallel Line \(y\)-Intercept |
15 |
y - 5 = 4(x - 2) ⇒ b = -3 |
-3 |
→ 4 |
| 4 |
Multi-Step Proportion |
-3 |
3(m + 2) = 2(m - 1) |
-8 |
→ 5 |
| 5 |
30°-60°-90° Triangle |
-8 |
hyp = 12 ⇒ short leg = 12/2 |
6 |
→ 6 |
| 6 |
Polygon Interior Angles |
6 |
(n - 2) • 180 = 1440 |
10 |
→ 7 |
| 7 |
Pythagorean Theorem |
10 |
b = √(26² - 10²) = √576 |
24 |
→ 8 |
| 8 |
Cross-Multiply Proportion |
24 |
8(x - 1) = 6(x + 7) |
25 |
→ 9 |
| 9 |
Distance Formula |
25 |
d = √(3² + (-4)²) = √25 |
5 |
→ 10 |
| 10 |
Perpendicular Line \(y\)-Int |
5 |
m = 2/3 ⇒ y + 4 = 2/3(x + 3) |
-2 |
→ 11 |
| 11 |
Negative Proportion Root |
-2 |
3(p + 3) = 4(p + 5) |
-11 |
→ 12 |
| 12 |
Angle Addition Postulate |
-11 |
(4x - 5) + (x + 17) = 72 |
12 |
→ 13 |
| 13 |
45°-45°-90° Triangle |
12 |
hyp = 9√2 ⇒ leg = 9√2 / √2 |
9 |
→ 14 |
| 14 |
Similar Triangles |
9 |
4 / 14 = 6 / EF ⇒ 4(EF) = 84 |
21 |
→ 15 |
| 15 |
Congruent Triangles CPCTC |
21 |
4x - 11 = 2x + 15 |
13 |
→ 16 |
| 16 |
Same-Side Interior Angles |
13 |
(11x + 10) + (9x + 30) = 180 |
7 |
→ 17 |
| 17 |
Binomial Proportion |
7 |
5(y - 2) = 3(y + 8) |
17 |
→ 18 |
| 18 |
30°-60°-90° Triangle |
17 |
long leg = 10√3 ⇒ hyp = 2 • 10 |
20 |
→ 19 |
| 19 |
Multi-Step Proportion |
20 |
2(n + 7) = 5(n + 1) |
3 |
→ 20 |
| 20 |
Loop Closure Proportion |
3 |
6(z - 2) = 4(z + 4) |
14 |
→ 1 |
Rapid Intercept Protocol:
When a student claims they cannot find their answer card on the wall, ask: "What station are you on right now?" Check that row above. If their calculated answer does not match the green Solution column, guide them directly to their scratchwork step without revealing the number!
Geometry Proportions Scavenger Hunt Facilitation Guide Page 2 of 4 • Master Loop Verification
Full Worked Solutions: Stations 1 – 10
Step-by-Step Derivations & Misconception Alerts
Station 1: Alternate Interior Ans: 16
5x - 18 = 3x + 14 (alt. int. angles ≅)
2x - 18 = 14 ⇒ 2x = 32 ⇒ x = 16
Pitfall: Setting angles supplementary (= 180°) instead of congruent.
Station 2: Binomial Proportion Ans: 15
(k - 3)/4 = (k + 6)/7 ⇒ 7(k - 3) = 4(k + 6)
7k - 21 = 4k + 24 ⇒ 3k = 45 ⇒ k = 15
Pitfall: Forgetting to distribute 7 to -3 or 4 to 6.
Station 3: Parallel Line Intercept Ans: -3
Parallel to y = 4x + 5 ⇒ m = 4
y - y₁ = m(x - x₁) ⇒ y - 5 = 4(x - 2)
y - 5 = 4x - 8 ⇒ y = 4x - 3 ⇒ b = -3
Pitfall: Keeping the original intercept +5 instead of re-evaluating at (2,5).
Station 4: Negative Proportion Ans: -8
(m + 2)/2 = (m - 1)/3 ⇒ 3(m + 2) = 2(m - 1)
3m + 6 = 2m - 2 ⇒ 3m - 2m = -2 - 6 ⇒ m = -8
Pitfall: Sign error on -2 - 6; getting +4 or +8.
Station 5: 30°-60°-90° Triangle Ans: 6
Hypotenuse = 2x ⇒ 12 = 2x ⇒ x = 6
Shorter leg (opp. 30°) = x = 6
Pitfall: Confusing short leg (6) with long leg (6√3).
Station 6: Polygon Angle Sum Ans: 10
(n - 2) • 180° = 1440°
n - 2 = 1440 / 180 = 8 ⇒ n = 8 + 2 = 10 sides
Pitfall: Stopping at 8 and forgetting to add 2.
Station 7: Pythagorean Theorem Ans: 24
a² + b² = c² ⇒ 10² + b² = 26²
100 + b² = 676 ⇒ b² = 576 ⇒ b = 24
Pitfall: Adding squares (100 + 676 = 776) instead of subtracting from c².
Station 8: Cross-Multiply Proportion Ans: 25
(x - 1)/6 = (x + 7)/8 ⇒ 8(x - 1) = 6(x + 7)
8x - 8 = 6x + 42 ⇒ 2x = 50 ⇒ x = 25
Pitfall: Adding 8 to 42 instead of recognizing 42 - (-8) = 50.
Station 9: Distance Formula Ans: 5
A(-1, 4), B(2, 0) ⇒ Δx = 2 - (-1) = 3; Δy = 0 - 4 = -4
d = √(3² + (-4)²) = √(9 + 16) = √25 = 5
Pitfall: Squaring -4 and writing -16 instead of +16.
Station 10: Perpendicular Intercept Ans: -2
m₁ = -3/2 ⇒ m_perp = 2/3. Point (-3, -4)
y - (-4) = 2/3(x - (-3)) ⇒ y + 4 = 2/3x + 2
y = 2/3x + 2 - 4 = 2/3x - 2 ⇒ b = -2
Pitfall: Using reciprocal without changing sign (-2/3 instead of +2/3).
Geometry Proportions Scavenger Hunt Facilitation Guide Page 3 of 4 • Worked Solutions 1–10
Full Worked Solutions: Stations 11 – 20 & Debrief
Step-by-Step Derivations & Formative Review
Station 11: Negative Proportion Ans: -11
3(p + 3) = 4(p + 5) ⇒ 3p + 9 = 4p + 20 ⇒ -p = 11 ⇒ p = -11
Station 12: Angle Addition Ans: 12
(4x - 5) + (x + 17) = 72 ⇒ 5x + 12 = 72 ⇒ 5x = 60 ⇒ x = 12
Station 13: 45°-45°-90° Triangle Ans: 9
hyp = leg • √2 ⇒ 9√2 = leg • √2 ⇒ leg = 9
Station 14: Similar Triangles Ans: 21
AB/DE = BC/EF ⇒ 4/14 = 6/EF ⇒ 4(EF) = 84 ⇒ EF = 21
Station 15: Triangle CPCTC Ans: 13
4x - 11 = 2x + 15 ⇒ 2x = 26 ⇒ x = 13
Station 16: Same-Side Interior Ans: 7
(11x + 10) + (9x + 30) = 180 ⇒ 20x + 40 = 180 ⇒ 20x = 140 ⇒ x = 7
Station 17: Binomial Proportion Ans: 17
5(y - 2) = 3(y + 8) ⇒ 5y - 10 = 3y + 24 ⇒ 2y = 34 ⇒ y = 17
Station 18: 30°-60°-90° Triangle Ans: 20
long leg = 10√3 = s√3 ⇒ s = 10; hyp = 2s = 2(10) = 20
Station 19: Proportion Linear Ans: 3
2(n + 7) = 5(n + 1) ⇒ 2n + 14 = 5n + 5 ⇒ 3n = 9 ⇒ n = 3
Station 20: Loop Closer Ans: 14
6(z - 2) = 4(z + 4) ⇒ 6z - 12 = 4z + 16 ⇒ 2z = 28 ⇒ z = 14 ⇒ loops to #1!
Metacognitive Confidence Debrief (Post-Hunt Protocol)
Collect student Hunt Trackers or execute a 5-minute whole-class audit using their 4-Tier Confidence tallies:
Levels 1 & 2 Clusters: If multiple students rate Stations 3 & 10 (line equations) or 16 (same-side interior supplementary) as Level 1/2, schedule a 10-minute targeted mini-lesson the following day.
Peer Expert Station Leaders: Students with Level 4 ratings on special right triangles (Stations 5, 13, 18) are designated peer leads during the pre-test study hall.
Guiding Whole-Class Discussion Prompts:
- "Why do alternate interior angles use equality while same-side interior angles add to 180°?"
- "In special right triangles, what clue tells you whether to multiply by \(\sqrt{3}\) versus divide by \(\sqrt{3}\)?"
- "When solving proportions with binomials, what common arithmetic trap leads to sign errors?"
Geometry Proportions Scavenger Hunt Facilitation Guide Page 4 of 4 • Worked Solutions 11–20 & Debrief
