A comprehensive math lesson mastering multi-digit addition and subtraction within 1,000 alongside foundational fractions, decimals, and percentages. Students build procedural fluency, apply visual models, and solve authentic real-world expedition problems.
6. Trail Marker Drive: Three volunteer squads set a shared goal to collect 900 trail safety flags. Squad Alpha collected 318 flags and Squad Beta collected 295 flags. How many flags must Squad Gamma collect to reach their 900-flag goal?
Step 1: Combined Alpha & Beta
Step 2: Subtract from 900 goal
Final Answer:
flags
7. Mountain Goat Census: Ranger Sarah counted 246 mountain goats during week one. In week two, she spotted 78 fewer goats than in week one. How many total mountain goats did Ranger Sarah count during both weeks combined?
Step 1: Goats in week two
Step 2: Total for both weeks
Final Answer:
total goats
8. Master Expedition Budget: The mountain rescue unit has an equipment grant of $850. They purchase a safety harness for $385 and insulated parkas for $278. Can they also afford a $200 satellite radio without going over budget?
Show Calculations & Thinking:
Afford radio?
YES NO
Circle one
Mission Accomplished: Check your work: Did you label all units and complete both steps for problems 5–8?
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25%
Three Fourths
0.75 75%
One Tenth 1/10
10%
One Fifth 1/5 0.20
4
Applied Expedition Word Problems
Solve & include appropriate form
9. Trail Completion: A search and rescue team has completed 60% of their planned mountain patrol loop. Write 60% as a fraction in simplest form and as a decimal.
Workspace / Simplification:
Fraction (simplest):
Decimal:
10. Pack Weight Check: Elena's climbing backpack weighs 14.5 kilograms. Sam's backpack weighs 14.25 kilograms. Which backpack is heavier, and by exactly how many kilograms?
Subtraction Workspace:
Heavier pack:
Difference:
kg
11. Trail Ration Sharing: A patrol of 4 scouts evenly shares 3 identical energy loaves. What fraction of an energy loaf does each scout receive? Draw a quick diagram to show your reasoning.
Division Diagram:
Each scout receives:
of an energy loaf
12. High Altitude Sun Exposure: The park guide indicates that 85% of the ridge trail is exposed to direct UV sunlight. Write 85% as a decimal and as a fraction in simplest form.
Workspace / Simplification:
Decimal:
Fraction (simplest):
Mountain Mindset: Remember: Fractions, decimals, and percents are different ways to express the same part of a whole!
