Word Problem: A math problem presented as a story or real-life situation
Key Words: Words that indicate mathematical operations (more, less, total, each, buy, sell)
Multi-step Problems: Problems requiring multiple operations to solve
2nd Grade Level Problems: More complex scenarios than basic 1st grade problems
- Advanced Counting: Counting combinations of different coins efficiently
- Decimal Notation: Converting between cents and dollar notation
- Multi-step Problems: Solving problems with multiple operations
- Real-world Applications: Practical money scenarios with multiple steps
- Problem-solving Strategy: Organize and solve complex problems systematically
Original Coins: 2 quarters, 3 dimes, 1 nickel, 8 pennies
Received: 2 more dimes
Operation: Addition (counting total)
Goal: Find total value after receiving more coins
- Count largest coins first (quarters)
- Calculate value of each coin type separately
- Add all values together
- Express in dollars and cents
Quarter = 25¢, Dime = 10¢, Nickel = 5¢, Penny = 1¢
2 quarters = 2 × 25¢ = 50¢
3 dimes = 3 × 10¢ = 30¢
1 nickel = 1 × 5¢ = 5¢
8 pennies = 8 × 1¢ = 8¢
Original total: 50¢ + 30¢ + 5¢ + 8¢ = 93¢
2 more dimes = 2 × 10¢ = 20¢
New total: 93¢ + 20¢ = 113¢
113¢ = $1.13
Sarah has 113¢ or $1.13
• Multiplication: Number of coins × Value per coin
• Addition: Sum all coin values
• Organization: Group by coin type for accuracy
Juice Box: 45¢
Cookie: 35¢
Candy Bar: 60¢
Payment: $2.00
Question: How much change?
Operations: Addition then subtraction
45¢ + 35¢ + 60¢ = 140¢
$2.00 = 200¢
200¢ - 140¢ = 60¢
60¢ = $0.60
Tom should get 60¢ or $0.60 change
• Addition: Combine multiple purchase amounts
• Subtraction: Payment - Total cost = Change
• Unit Conversion: Ensure consistent units
Emma's Transactions: Started with 75¢, spent 30¢, received 45¢
Jake's Transactions: Started with 80¢, spent 25¢, received 50¢
Questions: Who has more? How much more?
Operations: Multi-step calculations for each person
Started: 75¢
After spending: 75¢ - 30¢ = 45¢
After receiving: 45¢ + 45¢ = 90¢
Started: 80¢
After spending: 80¢ - 25¢ = 55¢
After receiving: 55¢ + 50¢ = 105¢
Jake: 105¢, Emma: 90¢
105¢ - 90¢ = 15¢
Jake has more money by 15¢
• Multi-step Calculation: Calculate each person's total separately
• Comparison: Compare final totals
• Subtraction: Find difference between amounts
Toy Cost: 95¢
Lisa's Money: 4 quarters + 10 pennies
Questions: Enough money? If yes, change? If no, how much more?
Operations: Counting, comparison, subtraction
4 quarters = 4 × 25¢ = 100¢
10 pennies = 10 × 1¢ = 10¢
Total: 100¢ + 10¢ = 110¢
110¢ vs 95¢
110¢ > 95¢
Yes, she has enough money
110¢ - 95¢ = 15¢
Lisa has enough money and will get 15¢ change
• Counting: Calculate total value of coins
• Comparison: Compare amounts to determine sufficiency
• Subtraction: Find change when payment exceeds cost
Monday: Saved 10¢
Tuesday: Saved 15¢
Wednesday: Spent 5¢
Thursday: Saved 20¢
Friday: Spent 10¢
Question: How much money at end of week?
Operations: Multiple additions and subtractions in sequence
Alex starts with: 0¢
0¢ + 10¢ = 10¢
10¢ + 15¢ = 25¢
25¢ - 5¢ = 20¢
20¢ + 20¢ = 40¢
40¢ - 10¢ = 30¢
30¢ = $0.30
Alex has 30¢ or $0.30 at the end of the week
• Sequential Operations: Follow events in chronological order
• Multi-step: Perform operations one at a time
• Verification: Check that final amount is reasonable