Bring your Variables Worksheet up to be stamped. Significant Figures Have your notebook out. Bring your Variables Worksheet up to be stamped.

Homework Sig Figs Worksheet 1, due Tonight, you will only be able to do problems #1-2. Leave problem #3 alone; you’ll be able to do it after tomorrow’s lesson.

Variables Worksheet Group corrections

Significant Figures Notebooks out! Title this section of your notes “Significant Figures.” Before you can begin collecting your data, you need to know the mathematical standards you’ll be held to…

Significant Figures The big ideas: Scientists need to know how strong their measurements are. We use “significant figures” to show that strength. The more significant figures a number has, the stronger the measurement it was. Using better measurement tools gives you numbers with more sig figs. There are rules for figuring out how many sig figs there are.

Significant Figures Say you want to measure this guy from eartip to eartip.

Significant Figures Say you want to measure this guy from eartip to eartip.

Significant Figures When you take a measurement, you can estimate one extra digit beyond the ones on the instrument, but no more than one. The better ruler gave us a more precise measurement.

Significant Figures The Rules! When you figure out sig figs, always follow these rules in this order. Let’s practice on this number: 020,670.90 1. All digits NOT zero are always significant figures.

Significant Figures 020,670.90 2. Final zeroes after a decimal point are significant. 3. A zero between two significant numbers is significant. 4. All the zeroes that are left are NOT significant.

Sig Figs Practice How many sig figs? 0.00416

Sig Figs Practice How many sig figs? 0.00416 Rule 1: Underline all non-zeroes. Rule 2: Underline all zeroes trailing at the end after a decimal point. Rule 3: Underline all zeroes in between other underlined numbers. Rule 4: Cross out anything that’s left.

Sig Figs Practice How many sig figs? 0.00416 Rule 1: Underline all non-zeroes. Rule 2: Underline all zeroes trailing at the end after a decimal point. Rule 3: Underline all zeroes in between other underlined numbers. Rule 4: Cross out anything that’s left. THREE SIG FIGS.

Sig Figs Practice How many sig figs? 0.00416 = 5.18 = 200 = 200.0 =

Sig Figs Practice Mini-competition: A sticker to the pair that gets the most right answers! You may use your notes. 3.0800 0.000054 91,106 76,000,000,000,000 0.00305 0.0080

Sig Figs Practice Come up with 10 significant figures problems, at least five must include rounding. You must know the answers to them. Write the problems on a fresh sheet of paper, and an answer key on another piece of paper. When you’re done, give your “sig fig quiz” to another group to solve. Check their answers when they’re done.

MORE fun with sig figs! (Sticker chance) How many sig figs are in each of these numbers? 40.08 32.9000 928,301.1 500,000,000,000,000,000

Homework Sig Figs worksheet, due Friday for B and Monday for F.

MORE fun with Sig Figs! What if somebody measured the area of an aye-aye ear like this?

MORE fun with Sig Figs! A chain is no stronger than its weakest link. One bad measurement makes your whole result bad. When you add, subtract, multiply, or divide, you can never get more sig figs than the WORST of the numbers that you used.

MORE fun with Sig Figs! How many sig figs can each of these answers have? 20 x 673

MORE fun with Sig Figs! How many sig figs can each of these answers have? 20 x 673 = The answer must have 1 sig fig, since that is the worst of the numbers we started with.

MORE fun with Sig Figs! How many sig figs can each of these answers have? 20 x 673 = 1 sig fig 0.041 x 248,200

MORE fun with Sig Figs! How many sig figs can each of these answers have? 20 x 673 = 0.041 x 248,200 = 3.0800 / 0.003 =

Rounding Sig Figs What if the problem’s answer has too many sig figs or places past the decimal? You must round it. Take 20 x 673. We said that the answer must have just one sig fig. Here’s how to get there.

Rounding Sig Figs 1. Do the operation normally first. What is 20 x 673?

Rounding Sig Figs 1. Do the operation normally first. 20 x 673 = 13,460 . 2. Count off the number of sig figs that you need, starting from the leftmost significant digit.

Rounding Sig Figs 1. Do the operation normally first. 20 x 673 = 13,460 . 2. Count off the number of sig figs that you need, starting from the leftmost significant digit. 3. The last digit that you count to must be rounded, the rest that you counted past will stay the same.

Rounding Sig Figs 20 x 673 = 13,460, which becomes 10,000 Try these problems: 8.9 x 10.8 . First, what normal answer do you get?

Rounding Sig Figs 8.95 x 10.81 = 96.7495 Next, how many sig figs do we have to get this number down to? Starting with the leftmost significant digit (the 9) count off the sig figs you want, going towards the right. The number you land on is the number to round. Rounding off 96.7495, we get…

Rounding Sig Figs How about adding and subtracting? 4.87 + 927.3

Sig Figs Practice Try these problems: 30 / 81 90.4 - 0.08 27,483 + 94,780 2.33 x 6.085 x 2.2

Sig Figs Practice Like before, design a “quiz” for another team. 8 questions. Two questions, present a single number and ask how many sig figs it has. Six questions, use multiplication, addition, etc.

Precision and Accuracy Pick up the handout.

Homework Twisted Rulers Analysis, go as far as you can until you hit another (with class) question

Sig Figs What’s the point of caring about sig figs?

Precision Precision = How exact your measurement is. Significant figures measure precision. The more significant figures you have, the more precise your measurement. Is this the same thing as being right?

Precision & Accuracy Accuracy = How correct your measurement is. Different from precision, and not measured by sig figs! What do I mean by that? Twisted Rulers lab will hopefully illustrate the idea!

Twisted Rulers Lab Groups of two tables. Share rulers amongst groups, use them in any order, just be SURE you record data for the right letter! Two volume stations. Instructions are at the stations. Learn to read instructions out loud to the group before attempting the operation! Graded for: correct sig figs (estimating past digits on rulers, multiplication). Feel free to check with me on your sig fig work.

Accuracy Accuracy = How correct your measurement is. Sig figs can’t tell you this. Instead, a procedure called percent error can.

Precision & Accuracy The equation for percent error (write it): (Observed Value) - (Expected Value) _______________________________ x 100 (Expected Value)