Peak Divide Game Worksheet
Pathway Challenge Grade 6 Math
PEAK DIVIDE
Dividing Mixed Numbers Expedition Board
Climber:
Date / Period:
1
Roll & Advance
Roll a die (1-3: move 1 space; 4-6: move 2 spaces) or flip a coin (H: 2, T: 1).
2
Divide & Record
Land on a station and solve on Page 2: Improper → Reciprocal → Simplify.
3
Summit Shortcut
At Fork 4: If Station 4 solution is an integer, take the high Ridge! First to Peak wins!
SUMMIT PINNACLE • ELEVATION 14,200 FT
Final Waypoint 10
10 Summit Peak
\(6\frac{2}{3} \div 2\frac{2}{9}\)
Summit Claim
+50 PTS
9 Cloud Ridge
\(3\frac{3}{5} \div 1\frac{4}{5}\)
High Winds
+25 PTS
Final Push Ridge Traverse
8 Windy Crag
\(4\frac{1}{2} \div 1\frac{7}{8}\)
Gale Zone
+20 PTS
7 Eagle Pass
\(2\frac{5}{8} \div 1\frac{3}{4}\)
Rest Camp
+20 PTS
Climb Steep Face Trails Rejoin at Station 6
6 Frozen Falls
\(3\frac{1}{2} \div 4\frac{2}{3}\)
Both paths meet here
Shortcut 5A
Falcon Roost
\(2\frac{2}{5} \div 3\frac{1}{5}\)
Skip ahead directly to 6!
Standard 5B
Glacier Creek
\(5\frac{1}{3} \div 2\frac{2}{3}\)
Scenic Valley Path
FORK DECISION: If Station 4 answer is a whole number \((4)\), unlock the High Ridge Shortcut (5A)!
4 Granite Ledge
\(4\frac{2}{3} \div 1\frac{1}{6}\)
Trail Fork
+15 PTS
3 Echo Ravine
\(1\frac{7}{8} \div 2\frac{1}{2}\)
Rope Bridge
+15 PTS
Foothill Climb Cross River
BASE CAMP
Climbers begin here! Roll die to step onto trail.
START HERE
1 Timberline
\(2\frac{1}{2} \div \frac{5}{6}\)
+10 PTS
2 Whispering Pines
\(3\frac{3}{4} \div 1\frac{1}{4}\)
+10 PTS
Pro Guide To divide mixed numbers: 1. Convert to improper fractions • 2. Invert the divisor (Flip) • 3. Multiply and simplify.
Turn page to show work →
EXPEDITION CALCULATION LOG
Show all steps: improper conversion, reciprocal multiplication, and simplified answer.
Total Score ______ / 200 PTS
Summit Badge [ ] Earned
1 Timberline Trail
\(2\frac{1}{2} \div \frac{5}{6}\)
Steps: Improper → Flip → Simplify
Ans:
2 Whispering Pines
\(3\frac{3}{4} \div 1\frac{1}{4}\)
Steps: Improper → Flip → Simplify
Ans:
3 Echo Ravine
\(1\frac{7}{8} \div 2\frac{1}{2}\)
Steps: Improper → Flip → Simplify
Ans:
4 Granite Ledge (Fork Check)
\(4\frac{2}{3} \div 1\frac{1}{6}\)
Integer solution unlocks Shortcut 5A!
Ans:
5A Falcon Roost (Shortcut)
\(2\frac{2}{5} \div 3\frac{1}{5}\)
Steps: Improper → Flip → Simplify
Ans:
5B Glacier Creek (Valley)
\(5\frac{1}{3} \div 2\frac{2}{3}\)
Steps: Improper → Flip → Simplify
Ans:
6 Frozen Falls
\(3\frac{1}{2} \div 4\frac{2}{3}\)
Steps: Improper → Flip → Simplify
Ans:
7 Eagle Pass
\(2\frac{5}{8} \div 1\frac{3}{4}\)
Steps: Improper → Flip → Simplify
Ans:
8 Windy Crag
\(4\frac{1}{2} \div 1\frac{7}{8}\)
Steps: Improper → Flip → Simplify
Ans:
9 Cloud Ridge
\(3\frac{3}{5} \div 1\frac{4}{5}\)
Steps: Improper → Flip → Simplify
Ans:
10 SUMMIT MASTER CHALLENGE: MOUNT DIVIDE PINNACLE
\(6\frac{2}{3} \div 2\frac{2}{9}\)
Convert to improper, multiply by reciprocal, and state in simplest form:
Final Answer:
