Phase 1 — Travel Briefing

Global Travel Planner

Welcome, Travel Agent! You have been hired by Horizon World Travel, a top international agency. Your mission: plan dream vacations for clients using ratios, proportions, and unit rates to compare destinations, calculate budgets, and build the perfect itinerary.

Travel Agent Name

Period

Date

Your Agency Briefing

The Rodriguez family has hired Horizon World Travel to plan their dream vacation. They have a budget of $6,000 and want to visit two international destinations over 14 days. You will use ratios and proportional reasoning to compare destinations, convert currencies, calculate unit rates for travel costs, and build a complete travel itinerary.

Vocabulary Help: A ratio compares two amounts (like 3 miles per 1 dollar). A unit rate tells you how much for just ONE of something. A proportion is when two ratios are equal.

Math Standards: 6.RP.A.1 (Understand ratios), 6.RP.A.2 (Unit rates), 6.RP.A.3 (Ratio tables, tape diagrams, proportional reasoning)

1

Welcome Ratio Check

Identify ratios in a real travel scenario

The Rodriguez family has 4 adults and 2 children. Their trip covers 14 days visiting 2 countries.

Tip: A ratio uses a colon (:) or the word "to." Example: 4 to 2, or 4:2.

Write the ratio of adults to children:

Write the ratio of days to countries:

If each adult pays $1,000 and each child pays $500, what is the unit rate (cost per person)?

Hint: Total cost = (4 x $1,000) + (2 x $500) = $5,000. There are 6 people total. Divide total cost by number of people to find the unit rate.

Challenge

If a 7th person joins and the total cost stays $5,000, how does the unit rate change? Explain using a proportion.

2

Travel Ratio Language

Use ratio vocabulary to describe travel comparisons

Use "for every," "per," and "to" to write three ratio statements about these travel facts:

Flight distance Tokyo to Paris: 6,200 miles in 12 hours. Luggage allowance: 2 bags for every 1 passenger. Hotel cost: $180 per night.

Sentence frames: "For every ___, there are ___." • "The rate is ___ per ___." • "The ratio of ___ to ___ is ___."

Statement 1 (use "for every"):

Statement 2 (use "per"):

Statement 3 (use "to"):

Phase 2 — Destination Research

Destination Research

Compare three potential destinations using ratio tables and data analysis. Use proportional reasoning to find the best value for the Rodriguez family.

3

Hotel Cost Ratio Table

Complete the ratio table comparing nightly hotel costs

Fill in the missing values. Each row multiplies the base rate by the number of nights.

Tip: To find the cost, multiply the nightly rate by the number of nights. To find nights, divide total cost by nightly rate.

Nights	Tokyo ($200/night)	Paris ($250/night)	Cancun ($150/night)
1	$200	$250	$150
3
5
7

Hint: Multiply: 3 nights × $200/night = $600. Use the same pattern for each column. The ratio of nights to cost stays constant!

Challenge

The family wants to spend exactly $2,100 on hotels. If they split time equally between Tokyo and Cancun, how many nights at each? Show your proportion.

4

Flight Time Tape Diagram

Use a tape diagram to compare flight times

Flight times from Baltimore: Tokyo = 15 hours, Paris = 9 hours, Cancun = 4 hours. The tape diagram below shows the comparison.

Tip: A tape diagram uses bars to compare amounts. Longer bars mean bigger numbers.

Tokyo (15h)

3

Paris (9h)

3

Cancun (4h)

4

What is the ratio of Tokyo flight time to Paris flight time? Simplify.

How many times longer is the Tokyo flight than the Cancun flight? Write as a comparison using division.

If a flight costs $40 per hour, use the tape diagram to find the cost of each flight. Show the multiplication.

Hint: Tokyo to Paris = 15:9. Divide both by 3 to simplify. For flight cost, multiply hours × $40. Tokyo: 15 × $40 = $600.

5

Best Value Destination

Calculate unit rates to compare total daily costs

Daily costs (per person): Tokyo: hotel $200 + food $60 + activities $40 = $300/day. Paris: hotel $250 + food $75 + activities $35 = $360/day. Cancun: hotel $150 + food $45 + activities $30 = $225/day.

Tip: A unit rate has a denominator of 1. "$300 per day" means $300 for 1 day.

What is the unit rate (cost per person per day) for each destination? List all three.

If the family has 6 people and stays 7 days at each destination, what is the total cost at each? Which is the best value?

Write a proportion that compares 3 days in Tokyo to the equivalent cost in Cancun. Solve for the unknown.

Hint: For 6 people for 7 days: Total = unit rate × 6 × 7. Tokyo: $300 × 6 × 7 = $12,600. For the proportion: $300 per day in Tokyo, so 3 days = $900. In Cancun, $225 per day × ? days = $900, so ? = 4 days.

Challenge

Create a "value score" by finding the ratio of activities included per dollar spent. Which destination gives the most activities per dollar?

6

Destination Data Analysis

Use ratios to analyze and compare destination data

Category	Tokyo	Paris	Cancun
Tourist attractions	24	18	12
Restaurants (per block)	8	6	4
Avg. temp (°F)	72	68	85

What is the ratio of attractions in Tokyo to Cancun? Simplify.

Find the unit rate of restaurants per block for each city. Which city has the highest density?

Based on ALL the data, which destination would you recommend for the Rodriguez family? Use at least two ratios in your explanation.

Phase 3 — Itinerary Planning

Itinerary Planning

Build the Rodriguez family's day-by-day itinerary. Use interactive tools to create ratio tables, calculate unit rates, and convert currencies.

7

Custom Ratio Table Builder

Build your own ratio table for the trip itinerary

The family decided on 7 days in Cancun and 7 days in Paris. Use the ratio table builder to calculate daily expenses.

Tip: Type numbers in the blank cells. Use the multiplier column to see the pattern. Each row should follow the same ratio.

Choose your expense category:

Days	Cancun Cost	Paris Cost	Multiplier
1			×1
2			×2
4			×4
7			×7

Describe the pattern you see in the ratio table. Why does this pattern work?

Hint: For hotels: Cancun is $150/night, Paris is $250/night. For 2 days, multiply the 1-day cost by 2. The ratio of Cancun to Paris cost stays the same no matter how many days: 150:250 = 3:5.

8

Unit Rate Calculator

Find and compare unit rates for travel expenses

Use the calculator to find unit rates for different travel costs.

Tip: Unit rate = total amount divided by number of units. Example: $600 for 3 nights = $200 per night.

Unit Rate Finder

Total Amount: $

Number of Units:

Problem 1: A taxi in Paris costs $72 for a 9-mile trip. What is the unit rate per mile?

Problem 2: A Tokyo food tour costs $180 for 6 people. What is the unit rate per person?

Problem 3: A Cancun snorkeling trip costs $125 for 5 hours. What is the unit rate per hour?

Challenge

Company A charges $48 for 4 hours. Company B charges $70 for 5 hours. Company C charges $99 for 9 hours. Which is the best deal? Show all unit rates.

9

Currency Conversion Station

Use proportions to convert between currencies

Exchange Rates: $1 USD = 0.92 EUR (Euro) • $1 USD = 155 JPY (Japanese Yen) • $1 USD = 17.50 MXN (Mexican Peso)

Tip: To convert, set up a proportion: $1/0.92 EUR = $x/? EUR. Cross-multiply to solve.

Convert $500 USD to Japanese Yen. Show the proportion you used.

A souvenir costs 2,325 JPY. How many US dollars is that? Show your work.

The family wants to exchange $1,500 USD to Mexican Pesos. How many pesos will they receive?

Hint: $500 × 155 = 77,500 JPY. For yen to dollars: 2,325 ÷ 155 = $15. For pesos: $1,500 × 17.50 = 26,250 MXN.

10

Day-by-Day Itinerary Planner

Use proportional reasoning to allocate time and money

The family wants to spend their 14 days in a ratio of 2:1:1 for sightseeing, adventure, and relaxation. Plan the daily breakdown.

Tip: 2:1:1 means 2 parts sightseeing, 1 part adventure, 1 part relaxation. Total parts = 4. Each part = 14 ÷ 4 = 3.5 days.

How many days for sightseeing? (2 parts out of 4)

How many days for adventure? (1 part out of 4)

How many days for relaxation? (1 part out of 4)

The daily budget should follow the same 2:1:1 ratio. If the total daily budget is $800, how much goes to sightseeing, adventure, and relaxation?

Challenge

If the family changes to a 3:2:1 ratio for 14 days, recalculate the days and budget ($800/day) for each category. How does this change affect costs?

Phase 4 — Budget Build

Budget Build

Put your ratio and proportion skills to the ultimate test. Calculate exchange rates, travel time ratios, budget proportions, and use map scales to plan the final trip details.

11

Exchange Rate Proportions

Set up and solve proportions for currency exchange

Use the exchange rates to solve these real-world problems with proportions.

Rates: $1 = 0.92 EUR • $1 = 155 JPY • $1 = 17.50 MXN

Tip: Set up a proportion like 1/0.92 = x/460. Cross-multiply: 1 × 460 = 0.92 × x. Then divide.

Problem: The family's Paris hotel costs 460 EUR. Set up a proportion and solve: how many USD is that?

Proportion setup:

Answer in USD:

A dinner in Tokyo costs 7,750 JPY for the whole family. Convert to USD using a proportion.

In Cancun, the family pays 5,250 MXN for a boat tour. How much is that in USD and EUR?

Hint: 460 EUR: 1/0.92 = x/460 → x = 460/0.92 = $500. For 7,750 JPY: 7,750/155 = $50. For 5,250 MXN: 5,250/17.50 = $300, then $300 × 0.92 = 276 EUR.

12

Travel Time Ratios

Compare speeds, distances, and times using ratios

Flight data: Baltimore → Paris: 3,985 miles, 9 hours • Paris → Tokyo: 6,032 miles, 12 hours • Tokyo → Cancun: 7,480 miles, 15 hours

Tip: Speed = distance ÷ time. This gives you miles per hour (mph), which is a unit rate.

Calculate the unit rate (speed in mph) for each flight:

Baltimore→Paris:

Paris→Tokyo:

Tokyo→Cancun:

Write the ratio of the fastest speed to the slowest speed. Simplify.

If the Baltimore→Paris flight is delayed and the plane flies at 400 mph instead, how long will the flight take? Set up a proportion.

Hint: B→P: 3,985 ÷ 9 ≈ 443 mph. P→T: 6,032 ÷ 12 ≈ 503 mph. T→C: 7,480 ÷ 15 ≈ 499 mph. Fastest to slowest: 503:443. At 400 mph: 3,985/400 ≈ 9.96 hours.

13

Budget Proportion Breakdown

Divide the total budget using ratio proportions

The Rodriguez family's $6,000 budget is divided into categories with the ratio 5:3:2:2 (Hotels : Food : Activities : Transportation).

Tip: Add all parts: 5+3+2+2=12. Each part = $6,000 ÷ 12 = $500. Multiply each category's ratio number by $500.

Budget Tape Diagram — $6,000 Total

Hotels (5)

$500

Food (3)

$500

Activities (2)

$500

Transport (2)

$500

How much money goes to each category?

Hotels:

Food:

Activities:

Transportation:

What fraction and percentage of the total budget goes to hotels?

Challenge

If the budget increases to $7,200 but the ratio stays 5:3:2:2, how much does each category increase? Show the proportional reasoning.

14

Map Scale Navigator

Use map scale ratios to find real-world distances

The family is using a tourist map of Paris. The map scale is 1 inch = 0.5 miles (or 1:31,680).

Tip: Map scale is a ratio. If 1 inch = 0.5 miles on the map, then 2 inches = 1 mile, and 4 inches = 2 miles.

Map Distance (inches)	Real Distance (miles)
1	0.5
2
3
6
	5

The Eiffel Tower to the Louvre measures 4.6 inches on the map. How far is it in real life? Show your proportion.

If the family walks 3 mph, how long will it take them to walk from the Eiffel Tower to the Louvre?

Challenge

A Tokyo map uses a scale of 1 cm = 200 meters. The hotel is 8.5 cm from a temple on the map. How far is that in kilometers? Set up two proportions (cm to meters, then meters to km).

15

Souvenir Shopping Ratios

Apply proportional reasoning to shopping decisions

Each family member gets $50 for souvenirs. Compare prices across countries to find the best deals.

Item	Paris (EUR)	Tokyo (JPY)	Cancun (MXN)
Keychain	4.60 EUR	620 JPY	52.50 MXN
T-Shirt	18.40 EUR	2,325 JPY	262.50 MXN
Magnet	2.76 EUR	465 JPY	35 MXN

Show your work converting each price to USD. Which city has the cheapest souvenirs overall?

If you buy 1 of each item from the cheapest city, how much would you spend in USD? What fraction of your $50 budget is that?

Hint: To convert: divide EUR by 0.92, divide JPY by 155, divide MXN by 17.50. Keychain: Paris=$5, Tokyo=$4, Cancun=$3. Cancun wins for keychains!

16

Final Budget Summary

Create the complete trip budget using all your calculations

Compile all your work into a final budget. Make sure every line uses a ratio or proportion to justify the cost.

Flights (total for 6 people, round trip):

Hotels (7 nights Cancun + 7 nights Paris for 3 rooms):

Food (14 days, 6 people):

Activities & transportation:

Grand Total: Is the family over or under their $6,000 budget? By how much? What adjustments would you recommend?

Phase 5 — Travel Portfolio

Travel Portfolio

Review your work, earn achievement badges, complete a self-assessment, and share your travel plan. This is your chance to reflect on everything you learned about ratios and proportional relationships.

Achievement Badges

Earn badges by completing each section of the travel planner.

Briefing Complete

Researcher

Planner

Budget Master

World Traveler

Score Breakdown

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Briefing

--

Research

--

Planning

--

Budget

--

Total

Self-Assessment Rubric

Rate yourself honestly on each skill. This helps your teacher understand your confidence level.

Skill	Developing (1)	Proficient (2)	Advanced (3)	Expert (4)
I can write and simplify ratios
I can complete and create ratio tables
I can read and use tape diagrams
I can find and compare unit rates
I can set up and solve proportions
I can apply ratios to real-world problems

17

Travel Agent Reflection

Reflect on your mathematical journey

Sentence starters: "I learned that ratios help me..." • "The hardest part was... because..." • "I feel confident about..." • "I still need practice with..."

What was the most useful ratio or proportion skill you used in this project? Give a specific example from your work.

Describe one mistake you made and how you fixed it. What did you learn from that mistake?

How could you use ratios and proportions in your own life outside of school? Give two real examples.

Challenge

Design your own travel ratio problem. Include the scenario, the data, and the solution. Your problem should require at least two different ratio/proportion skills.

18

Client Presentation Summary

Write a professional summary for the Rodriguez family

Write a 3-5 sentence presentation summary for the Rodriguez family. Include: destinations chosen, total budget with breakdown, key ratios used in planning, and your top recommendation.

Submit Your Work

You completed the Global Travel Planner!

Global Travel Planner

Your Agency Briefing

Destination Research

Itinerary Planning

Unit Rate Finder

Interactive Currency Converter

Budget Build

Travel Portfolio

Achievement Badges

Score Breakdown

Self-Assessment Rubric

Submit Your Work

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