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Catalyst – January 4(5), 2011 HW OUT PLEASE!!! List 2 units other than inches. List 3 prefixes other than milli-.
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Today’s Agenda Catalyst HW Questions??? Whiteboard Diagnostic and Notes: Scientific Notation Standard International Units and Prefixes Uncertainty, Accuracy, and Precision Exit Question HW: Answer Chapter 5 Review Questions: 1-6, 9- 10, 15-18, 23 AND Read Pages 124-126 and Section 5.6
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Today’s Objectives SWBAT write numbers in scientific notation. SWBAT distinguish between and relate SI units and SI prefixes. SWBAT describe uncertainty in measurement and distinguish between accuracy and precision.
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NEW PROCEDURE! WHITEBOARDS!
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Whiteboard Practice When Ms. Stroh says “GO!” Send one member of your group to get whiteboards, erasers, and markers for everyone (back lab bench) Hurry! Remember, we want to stay under 2 minutes of transition time!
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SCIENTIFIC NOTATION DIAGNOSTIC (WHITEBOARDS)
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Scientific Notation 2250000
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Scientific Notation 2.250000 2.25 x 10 6
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Scientific Notation 10 300 000 000
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Scientific Notation 1.0300000000 1.03 x 10 10
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Scientific Notation 0.000055
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Scientific Notation 00005.5 5.5 x 10 -5
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Scientific Notation 9870000
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Scientific Notation 9870000 0.00000987
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Notes – Scientific Notation Key Point #1 : Scientific notation is a way of abbreviating very large or very small numbers. 3.03 x 10 6 3 Parts! NumberPower of 10 Exponent
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Scientific Notation Key Point #2: A number in correct scientific notation has only one non-zero number to the left of the decimal. 3.03 x 10 6
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Positive and Negative Exponents Key Point #3: If the number is BIG then the exponent is POSITIVE; if the number is small then the exponent is NEGATIVE. Examples: 2.3x10 -3 = 0.0023 2.3x10 3 = 2,300
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MEASUREMENT DIAGNOSTIC (WHITEBOARDS)
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What unit should you use to answer the following questions??? 1. How far is it from the Earth to the Sun? METERS
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What unit should you use to answer the following questions??? 1. How far is it from the Earth to the Sun? 2. How much water can I fit into the beaker? METERS LITERS
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Whiteboards! What unit should you use to answer the following questions??? 1. How far is it from the Earth to the Sun? 2. How much water can I fit into the beaker? 3. How much matter can we put on the table before it breaks? METERS LITERS GRAMS
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Whiteboards! Which unit represents a bigger value? 1. milli- or deci- 2. deka- or mega- 3. kilo- or nano-
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Let’s See This In Action! http://dev.physicslab.org/Document.aspx?doctype =2&filename=IntroductoryMathematics_DensityPap erClip.xml
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Notes: Measurement Key Point #4: Scientists have a standard international way of measuring volume, mass, length, time, and temperature known as SI. Why do you think scientists do this?
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Standard International Units Volume is the amount of space an object takes up; measured in liters (L) Mass is the amount of matter in an object; measured in grams (g) Length is the distance from one point to another; measured in meters (m)
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Prefixes Key Point #5: You can use prefixes to adjust the value of each of these units. Why would scientists do this?
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Well fine… what are these prefixes?
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yotta- (Y-)10 24 1 septillion zetta- (Z-)10 21 1 sextillion exa- (E-)10 18 1 quintillion peta- (P-)10 15 1 quadrillion tera- (T-)10 12 1 trillion giga- (G-)10 9 1 billion mega- (M-)10 6 1 million kilo- (k-)10 3 1 thousand hecto- (h-)10 2 1 hundred deka- (da-)101 ten deci- (d-)10 -1 1 tenth centi- (c-)10 -2 1 hundredth milli- (m-)10 -3 1 thousandth micro- (µ-)10 -6 1 millionth nano- (n-)10 -9 1 billionth pico- (p-)10 -12 1 trillionth femto- (f-)10 -15 1 quadrillionth atto- (a-)10 -18 1 quintillionth zepto- (z-)10 -21 1 sextillionth yocto- (y-)10 -24 1 septillionth
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Well… ok, we generally only use a few of the prefixes… PrefixMultiplierPower of ten giga, G1,000,000,000 (billion)10 9 mega, M1,000,000 (million)10 6 kilo, k1,000 (thousand)10 3 hecto, h100 (hundred)10 2 deka, da10 (ten)10 1 BASE110 0 deci, d1/10 (tenth)10 -1 centi, c1/100 (hundredth)10 -2 milli, m1/1,000 (thousandth)10 -3 micro, µ1/1,000,000 (millionth)10 -6 nano, n1/1,000,000,000 (billionth)10 -9
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Figure it out! Copy and fill in the blanks! 1. 1,000 milligrams = 1 gram 2. 10 meters = 1 dekameter 3. 1,000,000,000 liters = 1 gigaliter 4. _____________ centimeters = 1 meter 5. 1,000,000 micrograms = _________ gram 6. 200 meters = ____________ hectometers
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Figure it out! Fill in the blanks! 1. 1,000 milligrams = 1 gram 2. 10 meters = 1 dekameter 3. 1,000,000,000 liters = 1 gigaliter 4. _____________ centimeters = 1 meter 5. 1,000,000 micrograms = _________ gram 6. 200 meters = ____________ hectometers 100 1 2
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Prefixes can be used for all units Let’s use a milli- for an example You can have a… Milli gram – one-thousandth of a gram Milli meter – one-thousandth of a meter Milli liter – one-thousandth of a liter If Lil’ Wayne was really that rich, he’d be singing a mega, a mega, a mega…
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Accuracy Key Point #6: Accuracy is how close you are to the correct or accepted value of a measurement. Example of GOOD ACCURACY: Throwing a dart close to the bulls eye Example of GOOD ACCURACY: If something is known to have a mass of 500 g and you measure 499 g
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Precision Key Point #7: Precision is how close a series of measurements are to one another. REPEATABILITY! Example of GOOD PRECISION: Throwing a dart and hitting the same spot 3 times in a row
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Good Accuracy Good Precision Good Accuracy Poor Precision Poor Accuracy Good Precision Poor Accuracy Poor Precision
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Precision/Accuracy Activity (15 min) Each group will get a Canes Coupon Each group member will use the ruler and measure the length (long side) and width (short side) of the coupon Write your measurements down in your notes to remember
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Exit Question Describe the accuracy (A) and precision (P) of 1 & 2. What prefix/unit would you use to measure the volume of cold drink in a can? What prefix/unit would you use to measure the length of your pinky?
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