Units of Measurement - Sixth Grade
Complete Notes & Formulas
1. Customary Units of Length
Conversion Chart
Unit | Conversion | Formula |
---|---|---|
1 foot (ft) | 12 inches (in) | 1 ft = 12 in |
1 yard (yd) | 3 feet (ft) | 1 yd = 3 ft |
1 yard (yd) | 36 inches (in) | 1 yd = 36 in |
1 mile (mi) | 5,280 feet (ft) | 1 mi = 5,280 ft |
1 mile (mi) | 1,760 yards (yd) | 1 mi = 1,760 yd |
Conversion Rules
Larger to Smaller → MULTIPLY
Smaller to Larger → DIVIDE
Example: Convert 5 yards to inches
1 yard = 36 inches
5 yards × 36 = 180 inches
Answer: 180 inches
2. Customary Units of Weight
Conversion Chart
Unit | Conversion | Formula |
---|---|---|
1 pound (lb) | 16 ounces (oz) | 1 lb = 16 oz |
1 ton (T) | 2,000 pounds (lb) | 1 T = 2,000 lb |
3. Customary Units of Capacity
Conversion Chart
Unit | Conversion | Formula |
---|---|---|
1 cup (c) | 8 fluid ounces (fl oz) | 1 c = 8 fl oz |
1 pint (pt) | 2 cups (c) | 1 pt = 2 c |
1 quart (qt) | 2 pints (pt) | 1 qt = 2 pt |
1 gallon (gal) | 4 quarts (qt) | 1 gal = 4 qt |
4. Metric Units of Length
Metric Prefixes
kilo- (k) = 1,000 (thousand)
hecto- (h) = 100 (hundred)
deka- (da) = 10 (ten)
base unit = 1 (meter, gram, liter)
deci- (d) = 0.1 (tenth)
centi- (c) = 0.01 (hundredth)
milli- (m) = 0.001 (thousandth)
Metric Length Conversions
Conversion | Formula |
---|---|
1 kilometer (km) | 1,000 meters (m) |
1 meter (m) | 100 centimeters (cm) |
1 meter (m) | 1,000 millimeters (mm) |
1 centimeter (cm) | 10 millimeters (mm) |
Metric Memory Tool: King Henry
King Henry Died By Drinking Chocolate Milk
Kilo - Hecto - Deka - Base - Deci - Centi - Milli
Move decimal right when going down, left when going up!
5. Metric Units of Mass and Capacity
Metric Mass (Weight)
Unit | Conversion |
---|---|
1 kilogram (kg) | 1,000 grams (g) |
1 gram (g) | 1,000 milligrams (mg) |
1 metric ton (t) | 1,000 kilograms (kg) |
Metric Capacity (Volume)
Unit | Conversion |
---|---|
1 kiloliter (kL) | 1,000 liters (L) |
1 liter (L) | 1,000 milliliters (mL) |
6. Converting Between Customary and Metric
Common Conversions
Customary | Metric |
---|---|
Length | |
1 inch (in) | ≈ 2.54 centimeters (cm) |
1 foot (ft) | ≈ 0.3048 meters (m) |
1 mile (mi) | ≈ 1.61 kilometers (km) |
Weight/Mass | |
1 ounce (oz) | ≈ 28.35 grams (g) |
1 pound (lb) | ≈ 0.454 kilograms (kg) |
Capacity | |
1 quart (qt) | ≈ 0.946 liters (L) |
1 gallon (gal) | ≈ 3.785 liters (L) |
Note: ≈ means "approximately equal to" because these are rounded values!
7. Temperature Conversion: Celsius & Fahrenheit
Conversion Formulas
Celsius to Fahrenheit:
°F = (°C × 9/5) + 32
Fahrenheit to Celsius:
°C = (°F − 32) × 5/9
Key Temperatures
Event | Celsius (°C) | Fahrenheit (°F) |
---|---|---|
Water freezes | 0°C | 32°F |
Room temperature | ≈ 20-25°C | ≈ 68-77°F |
Body temperature | 37°C | 98.6°F |
Water boils | 100°C | 212°F |
Example: Convert 25°C to Fahrenheit
°F = (°C × 9/5) + 32
°F = (25 × 9/5) + 32
°F = (25 × 1.8) + 32
°F = 45 + 32
°F = 77
Answer: 77°F
8. Working with Mixed Units
Example: Add Mixed Units
Problem: 3 ft 8 in + 2 ft 9 in
Step 1: Add feet: 3 ft + 2 ft = 5 ft
Step 2: Add inches: 8 in + 9 in = 17 in
Step 3: Convert extra inches: 17 in = 1 ft 5 in
Step 4: Add: 5 ft + 1 ft 5 in = 6 ft 5 in
Answer: 6 ft 5 in
Example: Multiply Mixed Units
Problem: 4 lb 6 oz × 3
Step 1: Multiply pounds: 4 lb × 3 = 12 lb
Step 2: Multiply ounces: 6 oz × 3 = 18 oz
Step 3: Convert: 18 oz = 1 lb 2 oz (16 oz = 1 lb)
Step 4: Add: 12 lb + 1 lb 2 oz = 13 lb 2 oz
Answer: 13 lb 2 oz
9. Estimating Measurements
Customary Estimation Benchmarks
Length:
• 1 inch ≈ width of your thumb
• 1 foot ≈ length of a ruler
• 1 yard ≈ one big step
Weight:
• 1 ounce ≈ slice of bread
• 1 pound ≈ loaf of bread
Metric Estimation Benchmarks
Length:
• 1 millimeter ≈ thickness of a dime
• 1 centimeter ≈ width of your pinky finger
• 1 meter ≈ width of a doorway
• 1 kilometer ≈ 10 minute walk
Mass:
• 1 gram ≈ paperclip
• 1 kilogram ≈ textbook
Quick Reference: Conversion Rules
To Convert | Operation |
---|---|
Larger to Smaller | MULTIPLY |
Smaller to Larger | DIVIDE |
Metric (same type) | Move decimal (powers of 10) |
Between systems | Use conversion factor |
💡 Important Tips to Remember
✓ Larger to smaller → MULTIPLY
✓ Smaller to larger → DIVIDE
✓ Memorize: 12 inches = 1 foot
✓ Memorize: 3 feet = 1 yard
✓ Metric is based on 10s (easy to convert!)
✓ King Henry mnemonic for metric prefixes
✓ Water freezes: 0°C = 32°F
✓ Water boils: 100°C = 212°F
✓ 1 inch ≈ 2.54 cm (key conversion)
✓ Always write units in your answer!
🧠 Memory Tricks & Strategies
Customary Capacity:
"Good Queen Victoria Purchased Tea" (Gallon, Quart, Pint, Cup)
Metric Prefixes:
"King Henry Died By Drinking Chocolate Milk"
Temperature:
"30 is hot, 20 is nice, 10 is cold, 0 is ice!" (Celsius)
Feet to Inches:
"A foot has 12 inches, just like a year has 12 months!"
Conversion Direction:
"Big to little, multiply a lot! Little to big, divide - that's the trick!"
Master Units of Measurement! 📏 ⚖️ 🌡️
Remember: Larger to Smaller = Multiply!