Mr. Hantman
Math 6B
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Unit 1 - Ratios & Rates
Section 1.07 - Convert Units 1
Lesson Goals
Convert measures within the English system.
Convert measures within the metric system.
Convert measures between the English and the metric system.
Lesson Standards
6.RP.3.d
Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
What are Units of Measurement?
1.08: Convert Units 2
Lesson Goals:
1. Convert measurements using ratio reasoning and multiple steps.
Lesson Standards:
6.RP.3.d - Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
QUICK CHECK
Conversion Factors - Check for Understanding
You can use conversion factors to convert between measures. Practice identifying and using conversion factors to convert measures.
Question 1
Which conversion factor could you use to convert 20 feet to yards?
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1 yd/3 ft
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3 ft/1 yd
How many yards are 20 feet? ______
Question 2
Which conversion factor could you use to convert 20 feet to inches?
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1 ft/12 in.
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12 in/ 1 ft
How many inches are 20 feet? _____
More Practice
Basic Conversion Problems
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Convert 72 inches to feet.
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Convert 5 feet to inches.
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Convert 3 yards to feet.
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Convert 10 feet to yards.
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Convert 5280 feet to miles.
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Convert 2 miles to yards.
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Convert 36 inches to yards.
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Convert 0.5 miles to feet.
1ft. = 12in
1yd. = 3ft. = 36in.
1mi. = 1760yd. = 5280ft. = 63360
Mixed Unit Conversion Problems
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Convert 4 yards 2 feet to inches.
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Convert 3 miles 1,320 feet to miles.
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Convert 2 yards 6 inches to feet.
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Convert 1.5 miles to feet.
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Convert 9 feet to yards and inches.
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Convert 18 inches to feet and inches.
1ft. = 12in
1yd. = 3ft. = 36in.
1mi. = 1760yd. = 5280ft. = 63360
Word Problems
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A carpenter cuts a 4-yard wooden beam into sections of 2 feet each. How many sections does he get?
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A hiking trail is 8,448 yards long. Convert the length of the trail into miles.
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A rectangular garden measures 12 feet in length and 5 yards in width. What is the total perimeter in feet?
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A rope is 5 yards 2 feet long. Convert its length to inches.
1ft. = 12in
1yd. = 3ft. = 36in.
1mi. = 1760yd. = 5280ft. = 63360
1.08 Metric System Conversions
Lesson Objectives:
By the end of this lesson, students will be able to:
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Understand the metric system and its base-10 structure.
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Convert between metric units of length, mass, and volume using multiplication and division.
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Use a conversion chart to solve real-world problems involving metric measurements.
California Content Standards: (Mathematics, Grade 6)
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6.RP.3.d: Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
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6.NS.3: Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
Think About It
“Why do scientists and most countries use the metric system instead of inches and pounds?”
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The metric system is based on powers of 10, making conversions easy using multiplication and division.
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Base Units: Meter (m) for length, Liter (L) for volume, Gram (g) for mass.
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Conversion Tip: Move the decimal left when converting to a smaller unit and right when converting to a larger unit.
Example 1:
Convert 24.56 mm = ________ meters
Example 2:
Convert .0065 Km = _______ cm
Example 3:
Convert 45 liters = ________ Dekalters
Exit Ticket:
In the chat, write one real-world example where you would use the metric system and need to convert from one unit to another.
Practice :
Convert the following (Show Work!)
1. 3.6 km = ____ m
2. 75 cm = ____ mm
3. 4,500 mg = ____ g
4. 2.3 L = ____ mL
5. 890 m = ____ km