Mass: The amount of matter in an object (measured in grams or kilograms).
Weight: How heavy an object feels due to gravity (measured in pounds or ounces).
Gram (g): A small unit of mass used for light objects.
Kilogram (kg): A larger unit of mass equal to 1000 grams.
Pound (lb): A unit of weight used in the US, equal to 16 ounces.
Weight comparison: Determining which object has more mass or weight.
- Identify the weights of both objects
- Make sure both weights are in the same units
- Compare the numbers to find the larger value
- State which object is heavier
Apple: 150 grams, Orange: 200 grams. Since 200 > 150, the orange is heavier.
Book: 2 pounds, Pencil: 1 ounce. Since 1 pound = 16 ounces, 2 pounds = 32 ounces. 32 > 1, so the book is heavier.
Bag of rice: 1 kilogram = 1000 grams, Bag of flour: 800 grams. Since 1000 > 800, the bag of rice is heavier.
2. Book is heavier
3. Bag of rice is heavier
1. Orange is heavier, 2. Book is heavier, 3. Bag of rice is heavier
• Comparison: Compare numbers to find the larger value
• Unit conversion: Convert to same units before comparing
• Accuracy: Make sure units match before comparing
Ordering by weight: Arranging objects from lightest to heaviest or heaviest to lightest.
Feather (1 gram) < Rock (200 grams) < Book (500 grams)
Backpack (5 pounds) < Bicycle (30 pounds) < Car (2000 pounds)
Mouse (20 grams) < Cat (4 kilograms = 4000 grams) < Elephant (5000 kilograms)
2. Backpack, Bicycle, Car
3. Mouse, Cat, Elephant
1. Feather, Rock, Book, 2. Backpack, Bicycle, Car, 3. Mouse, Cat, Elephant
• Comparison: Compare all weights to find the order
• Unit conversion: Convert to same units when needed
• Sequencing: Arrange from lightest to heaviest
Adding weights: Finding the total weight when combining multiple objects.
Bags of apples: 3 pounds, Bags of oranges: 2 pounds. Total = 3 + 2 = 5 pounds
First box: 500 grams, Second box: 300 grams. Total = 500 + 300 = 800 grams
Cat: 4 kilograms, Dog: 8 kilograms. Total = 4 + 8 = 12 kilograms
2. Combined weight: 800 grams
3. Total weight: 12 kilograms
1. 5 pounds, 2. 800 grams, 3. 12 kilograms
• Addition: When combining weights, add them together
• Units: Keep the same units when adding
• Context: Understand the problem to apply the right operation
Subtracting weights: Finding the difference between two weights.
Watermelon: 8 pounds, Melon: 5 pounds. Difference = 8 - 5 = 3 pounds
Original: 2 kilograms, After use: 1.5 kilograms. Used = 2 - 1.5 = 0.5 kilograms
Last year: 50 pounds, Now: 55 pounds. Gained = 55 - 50 = 5 pounds
2. 0.5 kilograms was used
3. Person gained 5 pounds
1. 3 pounds heavier, 2. 0.5 kilograms used, 3. 5 pounds gained
• Subtraction: When finding differences, subtract the smaller from the larger
• Units: Keep all measurements in the same unit
• Context: Understand the problem to apply the right operation
Estimation: Making a reasonable guess about the weight before measuring.
Example estimate: 1.5 pounds, Actual weight: 1.7 pounds. Estimate was close! Only 0.2 pounds off.
Price per pound: $2, Number of pounds: 3. Cost = 2 × 3 = $6
Box limit: 10 pounds, Items packed: 4 + 3 = 7 pounds. Remaining = 10 - 7 = 3 pounds
2. Cost: $6
3. 3 pounds remaining
1. Practice estimating weights, 2. $6, 3. 3 pounds remaining
• Estimation: Make reasonable guesses based on known references
• Multiplication: When calculating cost, multiply price by quantity
• Subtraction: When finding remaining capacity, subtract used from total
Mass: Amount of matter in an object (grams, kilograms)
Weight: Force of gravity on an object (pounds, ounces)
Gram: Small unit of mass (about the weight of a paperclip)
Kilogram: Large unit of mass (1000 grams)
Pound: Unit of weight (16 ounces)
- Identify the unit: Determine if using grams/kilograms or pounds/ounces
- Select the tool: Choose appropriate scale or balance
- Place the object: Put object on the scale
- Read the measurement: Record the weight shown
- Compare or calculate: Use measurements for comparisons or calculations
• Standard conversions: 1 kilogram = 1000 grams, 1 pound = 16 ounces, 1 ton = 2000 pounds
• Always use the same units when comparing or calculating with weights
• Practice estimation skills to develop good weight intuition
• Check your work by estimating the reasonableness of your answers
• Real-world applications include shopping, cooking, and shipping