Cent (¢): Smallest unit of US currency (100¢ = $1)
Dollar ($): Main unit of US currency
Penny: Copper-colored coin worth 1¢
Nickel: Silver-colored coin worth 5¢
Dime: Small silver coin worth 10¢
Quarter: Large silver coin worth 25¢
- By Size: Penny and nickel are medium, dime is small, quarter is large
- By Color: Penny is copper, others are silver (with slight variations)
- By Value: Remember: 1, 5, 10, 25
- By Edge: Dime has smooth edge, others have ridged edges
a) Small silver coin worth 10¢
b) Large silver coin worth 25¢
c) Copper coin worth 1¢
d) Medium silver coin worth 5¢
Goal: Identify each US coin by its characteristics
Focus: Size, color, and value
- Size: Dime is smallest, penny and nickel are medium, quarter is largest
- Color: Penny is copper, others are silver
- Value: Match value to known coin values
- Edge: Dime has smooth edge, others have ridges
Small size + silver color + 10¢ value = Dime
Large size + silver color + 25¢ value = Quarter
Copper color + 1¢ value = Penny
Medium size + silver color + 5¢ value = Nickel
b) Quarter = 25¢
c) Penny = 1¢
d) Nickel = 5¢
a) Dime = 10¢
b) Quarter = 25¢
c) Penny = 1¢
d) Nickel = 5¢
• Size Recognition: Dime is smallest, quarter is largest
• Color Recognition: Only penny is copper-colored
• Value Matching: Associate each coin with its value
a) 3 quarters
b) 4 dimes
c) 2 nickels
d) 7 pennies
Known Values: Quarter = 25¢, Dime = 10¢, Nickel = 5¢, Penny = 1¢
Operation: Multiplication (number of coins × value per coin)
Goal: Find total value for each group
3 × 25¢ = 75¢
4 × 10¢ = 40¢
2 × 5¢ = 10¢
7 × 1¢ = 7¢
b) 4 dimes = 40¢
c) 2 nickels = 10¢
d) 7 pennies = 7¢
a) 3 quarters = 75¢
b) 4 dimes = 40¢
c) 2 nickels = 10¢
d) 7 pennies = 7¢
• Multiplication: Number of coins × Value per coin
• Same Units: All amounts in cents
• Pattern Recognition: Count by multiples (25s, 10s, 5s, 1s)
Coins: 2 quarters, 1 dime, 3 nickels, 4 pennies
Values: Quarter = 25¢, Dime = 10¢, Nickel = 5¢, Penny = 1¢
Operation: Multiplication followed by addition
Goal: Find total value of all coins
2 quarters = 2 × 25¢ = 50¢
1 dime = 1 × 10¢ = 10¢
3 nickels = 3 × 5¢ = 15¢
4 pennies = 4 × 1¢ = 4¢
50¢ + 10¢ + 15¢ + 4¢ = 79¢
Total value = 79¢ or $0.79
• Multiplication: Number of coins × Value per coin
• Addition: Sum all coin values
• Organization: Group by coin type for accuracy
Group A: 3 dimes and 2 nickels
Group B: 2 quarters and 1 penny
Group A: 3 dimes (10¢ each) + 2 nickels (5¢ each)
Group B: 2 quarters (25¢ each) + 1 penny (1¢ each)
Operation: Calculate each group separately, then compare
Goal: Determine which group has higher value
3 dimes = 3 × 10¢ = 30¢
2 nickels = 2 × 5¢ = 10¢
Group A total = 30¢ + 10¢ = 40¢
2 quarters = 2 × 25¢ = 50¢
1 penny = 1 × 1¢ = 1¢
Group B total = 50¢ + 1¢ = 51¢
Group A = 40¢
Group B = 51¢
51¢ > 40¢
Group B (2 quarters and 1 penny) has a higher value of 51¢ compared to Group A's 40¢.
• Separate Calculations: Calculate each group independently
• Comparison: Compare final totals to determine greater value
• Verification: Ensure both groups are calculated correctly
Target Amount: 50¢
Available Coins: Pennies (1¢), Nickels (5¢), Dimes (10¢), Quarters (25¢)
Goal: Find two different coin combinations that equal 50¢
Option 1: 2 quarters = 2 × 25¢ = 50¢
Option 2: 5 dimes = 5 × 10¢ = 50¢
25¢ + 25¢ = 50¢ ✓
10¢ + 10¢ + 10¢ + 10¢ + 10¢ = 50¢ ✓
Option 3: 1 quarter + 2 dimes + 1 nickel = 25¢ + 20¢ + 5¢ = 50¢
Way 1: 2 quarters = 50¢
Way 2: 5 dimes = 50¢
Way 3: 1 quarter + 2 dimes + 1 nickel = 50¢
• Equivalence: Different combinations can equal same amount
• Flexibility: Multiple ways to represent money amounts
• Verification: Check that combinations equal target amount