Teaching the Metric System Sally B. Mitchell sallybchemistry.com For meaning and understanding.

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Presentation transcript:

Teaching the Metric System Sally B. Mitchell sallybchemistry.com For meaning and understanding

Identify the problem

Engineer a Solution to a problem with education 7 years of research Writing to learn Re-teach teachers (keep an open mind)

Numbers How many ways can you express this number? Three hundred million

Normal Notation 300,000,000

Scientific Notation 3 x 10 8

Engineering Notation 300 x 10 6

Metric Notation 300 M

Ways to express quantities Written notation (three hundred million) Number notation (300,000,000) Scientific notation ( 3 x 10 8 ) Engineering notation ( 300 x 10 6 ) Metric notation ( 300 M) Infinite number of other ways ( 30 x 10 7 )

What is a metric prefix? Quantity? Number? Symbol?

Why do we even use prefixes? Easier to write Easier to say Easier to manipulate It is concise

Do you know your prefixes? p n μ m k M G T

Try another Notice the spaces between groups of 3 numbers 3.2 x (Scientific Notation) 32 x (Engineering Notation) 32 p (Metric Notation)

What is the appropriate prefix for this quantity? The time was 45,000,000,000 seconds 45 Gs The distance between the objects was m 50 μm

Why change the prefix? Yet, we assess the student’s ability to CONVERT from kilometers to nanometers on the first day of class! Convert 2 km to nm REALLY? Is this a conversion?

Sound Mathematical Principles 2 x 10 3 m

Multiplicative Identity and Multiplicative Inverse 2 x 10 3 x ( ) m x

Associative Law and Law of Exponents (2 x 10 3 x 10 9 ) x m 2 x x m

Substitution of Symbol 2 x nm

Check it 2 km = 2 x nm ?

Look at only the quantity 2 k = 2 x n ? 2 x 10 3 = 2 x x 10 -9

Calculate the density of radon gas at STP Mass = 450 mg Volume = 50 mL Express your answer in g/L Density = 9 g/L

100 % confidence Teach about numbers and different ways to express Review Scientific Notation Introduce Engineering Notation Discuss prefixes Remember to develop “Prefixes are symbols” Challenge your students to express quantities using different symbols

Remember NO DIMENSIONAL ANALYSIS No tricks No centi Groups of 3 (300,000, )

What is a MOLE? 6.02 x ? 602 x ?