oneone sk-8 objective: to use unit fractions to covert quantities from one form to another. core...
TRANSCRIPT
oneSK-8
Objective: To use unit fractions to covert quantities from one form to another.Core Question: How can you convert metric quantities using unit fractions??
Drill: With your neighbor, come up with a strategy to solve the problem below.
22 tons = ___ dag
Metric System Conversions
Unit Conversion Method
oneSK-8
When converting between metric units, you can always move the decimal point to get the correct value. However, there are times when you have to convert from one system to another (metric to customary) or within another system (i.e. time). In these cases a different system is needed because the units are not based on the number 10.
Metric System Conversions
Unit Conversion Method
oneSK-8
The method to be used is the Unit Conversion Method. This is based on the fact that any time you multiply a quantity by “1”, the value remains the same even if the form of the quantity changes. In this method you multiply the initial quantity by a specially chosen fraction (equal to 1 whole) that results in a new quantity with the desired units.
Metric System Conversions
Unit Conversion Method
oneSK-8
Example
2.5 feet = ____ inches
2.5 feet × 12 inches/1 foot = 30 inches (special form of “1”)
Metric System Conversions
Unit Conversion Method
oneSK-8
Let’s complete the drill.
22 tons ×
How can we convert tons?1 ton = 2000 pounds
Metric System Conversions
Unit Conversion Method
oneSK-8
Let’s continue. 22 tons × = 44,000 pounds
How can we convert pounds?1 pound ≈ 0.453 kg
Metric System Conversions
Unit Conversion Method
2000 pound 1 ton
oneSK-8
Let’s continue. 44,000 pounds × = 19,932 kg
22 tons = 19,932 kgHow can we convert kg?
1kg = 100 dag
Metric System Conversions
Unit Conversion Method
0.453 kg 1 pound
oneSK-8
Let’s continue. 19,932 kg × = 1,993,200 dag
22 tons = 1,993,200 dag
1.9932 x 106 dag
Metric System Conversions
Unit Conversion Method
100 dag 1 kg
oneSK-8
How about a couple more problems? 9.5 hours = _____ seconds 327.6 hg = _______dg 27.8 L = ______ cm3
Metric System Conversions
Unit Conversion Method
oneSK-8
Homework:1. Unit Conversion Ditto
(selected problems)
2. Study for Quiz.
Metric System Conversions
Unit Conversion Method