IMPROVEMENTS Come up with better sig fig example problem, have pittsburgh one, which is ok. Should have one that we come back to several times. Name (& nickname) Pd_______ 1. Who you live with (names and relationship) 2. What grade do you expect to earn in this class? 3. How do you learn best? What can I do to help you learn? 4. What are you good at? 5. What are you not so good at? 6. Favorite school subject? Why? 7. Interests (sports/activities/games/hobbies) 8. Movies; Bands/artists; sports teams you like 9. Planned future occupation Bell Ringer 9/15/14 – 3 minutes START A NEW BELL RINGER SHEET! How many sig figs are in the following numbers? 1. 52,000 2. 0.0070 3. 23.4000 4. W5SAYWoS Bell Ringer 9/16/14 – 2 minutes 1. 2. What is volume? What is mass? Do Sig Fig Wkst Measurements in science Today you are going to… take notes on measurements So you can… Define length, mass, & volume and give the base units for each. Differentiate between mass and weight Explain the difference between fundamental and derived units You’ll know you’ve got it when you can complete the “Measurement Questions” worksheet 2 Basic Measuring Systems Metric Developed English in 1790’s in France Based on scale of 10 Same base unit…uses prefixes for different sizes Developed 100’s of years ago No consistent scale Uses different units for different sizes…all memorization Types of Units Fundamental unit Fundamental means “foundation or basis; basic” Measured Compared to a standard, accepted worldwide Ex. ___________________________________ Derived unit Calculated (math done to find them) Combination of fundamental units Ex. ___________________________________ The neat (important) thing about derived units is they often tell you how they were derived!! Some Fundamental Units (just glance at this…notes to come) The Measurements SI UNITS Eng. Units Length Meter (m) Feet (ft) Mass Kilogram (kg) Slug Volume Liter (L) Gallon (gal) Temperature Kelvin (K) Fahrenheit(°F) Amount of Substance Mole (mol) Mole (mol) Electric Current Ampere (A) Ampere (A) Time Second (s) Second (s) Measurements in Science Most scientists and almost all countries use the International System of Units. “SI Units” (metric system) Why is the abbreviation “SI” instead of “IS”? – meter (m) Mass – gram (g) Volume – liter (L) Time – second (s) Temperature – Kelvin (K) (but we’ll use Celsius oC) Length Length the distance from one point to another inches, feet, miles, millimeters, fathoms The SI base unit of length is the meter. 1 meter = 39.37 inches What English unit most closely resembles a meter? How does it compare to a meter? The English system “base” is the inch. 1 inch = 2.54 centimeters Compare km, m, cm, & mm to mi, yd, in, & ½ in Mass how much matter is in an object Directly related to weight…but NOT the same Weight is a FORCE (push or pull), mass is not Weight changes with location, but mass does not The SI unit of mass is the kilogram. The English unit of mass is the slug. We don’t use mass much in the U.S.A….we use weight instead. That’s one of the reasons people get mass and weight confused!!! Mass Slug It is a mass that accelerates by 1 ft/s2 when a one pound-force is exerted on it. It weighs 32.17 lbs on Earth. Bell Work 9/16/14 - 3 min Complete # 1-17 in your notes. Volume Volume how much space something takes up English system – gallons (quarts, pints, cups, fluid ounces) SI unit - liter Dump water! 1 mL = ___ cm3 Volume 1 liter = 1000 mL = 1000 cm3 Volume To find volume of a regular solid: To find volume of irregular solid: To find volume of liquid: Temperature Temperature - measure of the average amount of kinetic energy of the molecules in a substance. SI unit - Kelvin (K) we usually use the Celsius (oC) scale temperature 20 – 25o C A warm sunny day 30o C. Room Water boils at 100o C and freezes at 0o C. 50.0 50 in = ? mi cm = ? km Bell Work 9/16/14 - 3 min 1. Define & give the SI & English units for: a. length b. volume c. mass 2. What are two ways mass and weight are different? Bell work music! https://www.youtube.com/watch?v=vhHynAxHURA Today you are going to… take notes on metric measurements So you can… Convert between metric units. You’ll know you’ve got it when you can complete “Metric to Metric Conversion Worksheet #1” Something not everyone knows about Kevin… Metric Prefixes Kevin Hates Dating Because Dating Costs Money Kilo Hecto Deka Base Deci Centi 1000 100 10 1 0.1 0.01 Which way? How many? Milli 0.001 *note the Greek letter mu on micro! 1. 25.5 g 1. 58.5 km = ______________ cm 2. = ____________ mg 58.5 cm = ______________ hm 3. 90 daL = _________________ kL 4. 4.45 cm = _____________________________ m Extreme Metric Prefixes! Mega (M) 1,000,000 (106) One million Giga (G) 1,000,000,000 (109) One billion! Tera (T) 1,000,000,000,000 (1012) One trillion! Kilo 1000 Hecto Deka Base Deci 100 10 1 0.1 Centi 0.01 Milli 0.001 Micro ( μ) 1/1,000,000 (10-6) Nano (n) 1/1,000,000,000 (10-9) Pico (p) 1/1,000,000,000,000 (10-12) Bell Work 9/15 – 5 minutes 1 km = __________ m kilo means ___________ 1 cm = __________ m centi means __________ 1mm = _________ m milli means __________ Convert 1. 2. 3. 4. the following… 25 kg 37 dam 90 mL 15 Mm = _________ g = ___________ cm = ______________ kL = ___________________ m 1. 2. 3. 4. 25.5 g 58.5 nm 90 mL 4.45 pm = = = = ____________ dag ______________ dm _________________ kL _____________________________ mm Common Mistakes Prefix M is Mega, prefix m is milli m alone is NOT milli, it’s “meter” Move the decimal, don’t just add zeros! Don’t count your house (the unit you start on)! Da is deca & d is deca Moving the wrong direction…draw an arrow! The worst mistake is…GIVING UP! The second worst mistake is…NOT ASKING FOR HELP! Tip! If writing a tiny number (decimal with lots of places) leave a space between every three numbers. DO IT!!!! 0.0000000000003454 meters 0.000 000 000 000 345 4 meters Work on worksheet! Bell Work 9/18/14 – 4 min Get your homework out & turn it upsidedown on your desk so we can check it. 1. 6.0 kL = _________________________ L 2. 65 mg = _________________________ g 3. 8.9 L = _________________________ cL 4. 45 dL = _________________________ hL 5. 502 Gm = _________________________ cm Bell Work 9/20/13 – 4 min Get your homework out & turn it upsidedown on your desk so I can check it. Try using the chart above for this one! 1. 5.5 mL = _________________________ L 2. 650 dg = _________________________ g 3. 57 nm = _________________________ m 4. 4.45 TL = ________________________ ML 5. 50.2 pm = _________________________ nm Bell Ringer 9/14 – 3 minutes Identify the SI and English unit that would be used to measure… 1. Length of: A. Your foot C. from here to Irwin E. an eyelash 2. Volume of: A. Your head C. The school 3. B. A football field D. from here to California F. a cell B. A thimble D. a Jacuzzi tub Mass of: A. Your head C. The building B. a bowling ball D. an eyelash Bell Work 9/26/12 – 4 min Round the following numbers to the number of sig figs indicated. 1 Sig Fig Ex. 488.67 1) 521.2 2) 448.6 3) 0.086005 4) 48 000 2 Sig Figs 3 Sig Figs Quiz 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 1 m = _________________ cm centi means _________________ 1 m = _________________ mm milli means _________________ 1 km = _________________ m kilo means __________________ 23 kg = _________________ g 8.25 g = ______________________ cg 59 hg = ______________________ mg 14 mm = ______________________ cm 6.48 daL = ______________________ mL 23.5 ML = ______________________ hL 210 Mg = ______________________ pg Bell Work 9/26 – 3 min Convert all to mL 1. 456.0 L 2. 25.300 kL 3. 0.00020 nL 4. 490 TL 5. 85 daL 6. 1 000 dL Bell Work 9/27/12 – 4 min What is the point of significant figures? (c.s.) Quiz Take everything off ur desk for ze quiz!! Today you are going to… take notes on accuracy & precision So you can… define & differentiate between accuracy & precision and give examples. You’ll know you’ve got it when you can answer the questions at the end of class Accuracy & Precision Accuracy getting the correct answer on average. might not always get the same answer, but their average is close to right answer. Precision is consistently getting close answers, or “repeatability” It might not be correct. precise measurements have more sig figs Describe the X’s on this deer using accuracy and precision. 300,000 people live in Pittsburgh. 306,500 people live in Pittsburgh. Which measurement is the most precise? 5 m 5.0 m 5.00 m 5.000 m Wanna see Mr. Murray’s tattoo? Which 1. 2. 3. 4. 5. 6. measurement below is the most precise? 9g 8.9 g 8.92 g 8.919 g 8.9187 g 8.91871 g The measurements below are for the length of a 4.55 m desk. Describe them in terms of accuracy and precision. 1. 2. 3. 4. 5. 6. 7. 5m 5m 3m 4m 3m 4m 6m The measurements below are for the length of a 9.505 m lab desk. Describe them in terms of accuracy and precision. 1. 2. 3. 4. 5. 6. 8.90 8.95 8.93 8.94 8.97 8.94 Precision & Measurement! When measuring, estimate one digit past the markings on the measuring device. The more precise a measuring instrument is, the more significant figures there are in it’s measurements. Which below is most precise? Today you are going to… take notes on significant figures So you can… Explain the point of significant figures & know how to use them You’ll know you’ve got it when you can complete the worksheet Significant Figures Sometimes not all of the digits in a number have meaning. 300,000 people live in Pittsburgh. The city spent $6.2 million dollars on signs. I weigh 150 lbs. Significant Figures Significant Figures When decisions and calculations are made based on numbers, it is important to know which of these figures have meaning. Ex. The city wants to know how much more in taxes it would make if it enforced a mandatory $1.80 fee on all 300,000 people living in Pittsburgh. Science is one of these times. Chemicals are expensive. You want to make sure you know how much of each chemical to mix together to cause a complete reaction. Significant Figures Ex. The city wants to know how much more in taxes it would make if it enforced a mandatory $1.75 fee on all 300,000 people living in Pittsburgh. 300,000 x $1.75 = $525,000 287,302 x $1.75 = $502,778.50 Significant Figures What’s the difference between 4 cm and 4.00 cm? Significant Figures Significant Digits Figures in a number that have meaning Measured numbers can never be completely precise Decimal point Present Count from Pacific side, starting with 1st nonzero & counting all numbers afterwards 0.00067 4.0 4.00 4.000 807.50 0.500 0.202 9.80 x 106 Decimal point Absent Count from Atlantic side, starting with 1st nonzero & counting all numbers afterwards 670 45 000 890 8000 8 000 000 000 72 001 8001 2.00 x 106 500 500. 2.00 0.00580 5 000 000 000 892.0 0.0058 100.50 Some numbers have infinite sig figs Exact Conversions 1 mi = 5,280 ft 1 kg = 1000 g Counted numbers (when not estimated/rounded) 4 monkeys 8 cars Bell Work 9/24/13 – 2 minutes Put your homework upsidedown on your desk. How many sig. figs in the following? 1. 5500 2. 1.0 3. 2.50 4. 525,600 5. 5.90 x 108 6. 0.000 055 0 7. 1,000,000,000 Bell Work 9/28/12 – minutes 3. Kilo means __________ Centi means ___________ Milli means ____________ 4. (0.02500)(2.0) = 0.05 5. (12 000)(3) = 36 000 6. (80.00) ÷ (2.00) = 40 1. 2. Today’s Schedule Return & Review Quiz Check & Review HW Multiplying & Dividing Sig Figs Rounding Sig Figs Sig Fig & Scientific Notation Finish Wkst Bell Work 9/26/13 – 2 minutes Put your homework upsidedown on your desk. Round to the correct number of sig figs. 1. 5500 x 2 = 11 000 2. 5500 x 2.0 = 11 000 3. 8.000 x 3 = 24 4. 8.000 x 3.0 = 24 5. 8.000 x 3.00 = 24 6. 800.0 x 3.00 = 2400 Today’s Schedule Check HW Multiplying & Dividing Sig Figs Rounding Sig Figs Sig Fig & Scientific Notation Accuracy & precision Density! Rounding Sig Figs 3 Sig Fig 521.2 448.6 0.086705 48 000 2 Sig Figs 1 Sig Figs Multiplying & Dividing Sig Figs Round your answer to have the same number of sig figs as the least precise number. (525.5)(10.0) (0.4020)(3.0) (0.086705)(3.20)(2.0) (48 000) / (2) Measure this pencil! Rules of Significant Figures Measuring Estimate with a ruler/meter stick 1 digit beyond the smallest unit of the device. Place the object at 0, not the end of the ruler! Rules of Significant Figures Measuring Estimate device. 1 digit beyond the smallest unit of the Measuring Volume! Measure them! length, width, and height and multiply Measuring Volume in a Graduated Cylinder Make sure to: Notice the scale! Get “eye level” with the G.C. Read the bottom of the meniscus Estimate one digit Measuring Area of a Rectangle 1. 2. 3. Measure the sides of the rectangle. Multiply them together. Round to the correct number of sig figs. Measuring Volume If the object is irregular, use the water displacement method. Put some water in a graduated cylinder Record the water level Add the object Record the new water level Subtract to find volume of object! Bell Ringer 10/2/12 – 5 min 1. 12.0 x 2 = 2. 3. 4. 6. Draw this graduated Cylinder with 11.77 ml of water in it. 5. ANYONE ALLERGIC TO CHOCOLATE CHIP COOKIES? HUH…I GUESS MR. MURRAY COULD HAVE BROUGHT SOME :P Bell Work 9/10/10 – 6 minutes 1. 2. 3. 4. 5. Get your homework out…do not work on it after the tardy bell rings! Define mass in your own words. (C.S.) Define volume in your own words. (C.S.) Compare and contrast mass and weight. (C.S.) Convert 550 cm3 to mL. Bell Work 9/20 – 5 minutes 1 km = __________ m kilo means ___________ 1 m = __________ cm centi means ___________ 1m = __________ mm milli means ___________ Convert the following… 3.23 kg = _________ g 80.5 hm = ___________ cm 0.055 mL = ______________ kL 1155 nm = _________ mm % Error Percentages depend on the reference point. A McDonalds large pop contains 960 mL (32 oz). A medium contains 720 mL (24 oz). Using percentages, How much more soda is in the large than the medium? How much less pop is in the medium than the large? % Error How wrong are you? Take the value you got minus the true value (the right answer). Then divide that by the true value. Then multiply that by 100. (Observed Value - True Value) Percent Error = -------------------------------------------- x 100% True Value % Error When finding percent error in an experiment, you use the accepted value as your reference point. % Error How wrong are you? If your percent error is positive, your value was too _________. If your percent error is negative, your value was too ______. Find the % error of the following You got: 37.5 g/mL Actual Value: 39.3 g/mL You got: 1,240 kg Actual Value: 1,310 kg 3. An object “should” have a density of 26.3 g/mL. According to your lab, it has a density of 33.9 g/mL. 4. You found a density of 54.8 g/mL. According to research, the substance has a density of 51.4 g/mL. 5. Though the accepted value is 803 g, according to your measurements the object has a mass Of 822 g. 28.9% Adding & Subtracting Sig Figs Round your answer to be as precise as the least precise number. 61.00 / 10.000 61.00 / 10 (0.086705)(3.20)(2.0) (48 000) / (2) Mr & Mrs. Know It All A crocodile cannot stick out its tongue Bell Ringer 9/14 – 3 minutes Identify the SI and English unit that would be used to measure… 1. Length of: A. Your foot C. from here to Irwin E. an eyelash 2. Volume of: A. Your head C. The school 3. B. A football field D. from here to California F. a cell B. A thimble D. a cell Mass of: A. Your head! C. The building B. a bowling ball D. an eyelash Reading Strategies Highlight key points Sound out words Look later in sentence/reading for meaning of words Write notes in margin – what you don’t understand or think Reread Simplify/summarize Replace words Chunking