Colonial Math: Population and Budgets
This 2-part packet for 7th graders builds skills in calculating population changes and managing expedition budgets. It includes multi-step problems, percentage and decimal operations, and data visualization. Students will apply math to understand economic decisions in colonial America.
“Task 3: Population and Taxation A colonial town has 3,200 residents. Population changes: 15% moved into town 7.5% moved away Student Questions How many people moved into town? How many people moved away? What is the final population? What was the net percent change? Rational Numbers Used Percentages Integers Multi-step operations Task 4: Expedition Budget Challenge Your colony gives your merchant team a budget of $1,500. Expenses: Ship repairs = $425.75 Crew wages = $385.50 Food supplies = $212.25 Harbor fees = $88.50 Student Questions What is the total spent? How much money remains? If profits increase by 12.5%, how much additional profit will be earned on a profit of $640? What would be the new total profit? Rational Numbers Used Addition Subtraction Percentages Decimals Final Product: Colonial Trade Business Plan Teams create a poster, slideshow, or infographic that answers the driving question. Required Components ✅ Map of trade route ✅ Completed mathematical calculations ✅ At least two graphs or charts ✅ Explanation of trade decisions ✅ Recommendation for the most profitable trade strategy ✅ Written conclusion supported by evidence Data Visualization Requirements Students must include at least two of the following: Bar Graph Compare profits from tobacco, rice, and indigo. Pie Chart Show how the expedition budget was spent. Line Graph Display population changes before and after migration. Column Chart Compare taxes charged on different trade routes. Rubric (20 Points) Category Points Accuracy of Rational Number Calculations 5 Multi-Step Problem Solving 5 Social Studies Understanding 5 Final Presentation & Evidence 5 Performance Levels 18-20 Points: Exceeds Expectations 14-17 Points: Meets Expectations 10-13 Points: Approaching Expectations 0-9 Points: Needs Improvement Extension Challenge A merchant earns a profit of $875.50. Additional expenses include: 6¼% insurance fee $45.75 dock fee Students must: Calculate the insurance cost. Determine total expenses. Find the final profit. Explain whether the expedition was economically successful. Essential Question for Closure How did mathematics help governments, merchants, and citizens make economic decisions in colonial America?”
Teacher Guide & Tips
- Use as a 2-day lesson for 7th graders, focusing on applying math to historical contexts.
- Discussion Question: How did the math skills practiced here help colonial merchants and governments make important decisions?
- For struggling readers, provide pre-filled templates for the budget calculations and data visualizations.
- Advanced students can complete the extension challenge, calculating additional expenses and determining economic success.
- Estimated time: 2 x 45-minute sessions.
What is Diffit?
Teachers use Diffit to get quality materials for their unique classrooms. Adjust difficulty, add scaffolds, or change the topic to get started.
Try Diffit for free“Task 3: Population and Taxation A colonial town has 3,200 residents. Population changes: 15% moved into town 7.5% moved away Student Questions How many people moved into town? How many people moved away? What is the final population? What was the net percent change? Rational Numbers Used Percentages Integers Multi-step operations Task 4: Expedition Budget Challenge Your colony gives your merchant team a budget of $1,500. Expenses: Ship repairs = $425.75 Crew wages = $385.50 Food supplies = $212.25 Harbor fees = $88.50 Student Questions What is the total spent? How much money remains? If profits increase by 12.5%, how much additional profit will be earned on a profit of $640? What would be the new total profit? Rational Numbers Used Addition Subtraction Percentages Decimals Final Product: Colonial Trade Business Plan Teams create a poster, slideshow, or infographic that answers the driving question. Required Components ✅ Map of trade route ✅ Completed mathematical calculations ✅ At least two graphs or charts ✅ Explanation of trade decisions ✅ Recommendation for the most profitable trade strategy ✅ Written conclusion supported by evidence Data Visualization Requirements Students must include at least two of the following: Bar Graph Compare profits from tobacco, rice, and indigo. Pie Chart Show how the expedition budget was spent. Line Graph Display population changes before and after migration. Column Chart Compare taxes charged on different trade routes. Rubric (20 Points) Category Points Accuracy of Rational Number Calculations 5 Multi-Step Problem Solving 5 Social Studies Understanding 5 Final Presentation & Evidence 5 Performance Levels 18-20 Points: Exceeds Expectations 14-17 Points: Meets Expectations 10-13 Points: Approaching Expectations 0-9 Points: Needs Improvement Extension Challenge A merchant earns a profit of $875.50. Additional expenses include: 6¼% insurance fee $45.75 dock fee Students must: Calculate the insurance cost. Determine total expenses. Find the final profit. Explain whether the expedition was economically successful. Essential Question for Closure How did mathematics help governments, merchants, and citizens make economic decisions in colonial America?”
Teacher Guide & Tips
- Use as a 2-day lesson for 7th graders, focusing on applying math to historical contexts.
- Discussion Question: How did the math skills practiced here help colonial merchants and governments make important decisions?
- For struggling readers, provide pre-filled templates for the budget calculations and data visualizations.
- Advanced students can complete the extension challenge, calculating additional expenses and determining economic success.
- Estimated time: 2 x 45-minute sessions.
Colonial Math: Population and Budgets
This 2-part packet for 7th graders builds skills in calculating population changes and managing expedition budgets. It includes multi-step problems, percentage and decimal operations, and data visualization. Students will apply math to understand economic decisions in colonial America.
What is Diffit?
Teachers use Diffit to get quality materials for their unique classrooms. Adjust difficulty, add scaffolds, or change the topic to get started.
Try Diffit for free