Week 19 Chemistry Significant Figures, Scientific Notation, Dimensional Analysis Warm Up: 4 Minutes Sit anywhere you’d like No more than 4 people per row Draw the Lewis Dot Structure for PH3. What is the molecular structure for PH3? Write the Learning Target Class Dojo(starting TODAY) If you are being disrespectful in class Talking out of turn Not participating Out of your seat without permission (once the bell rings, where should you be???) Arguing with the teacher Etc. Each behavior miscue will be tracked You will hear a sound for each behavior! Class Dojo(starting TODAY) But you also get points for being good! Taking Notes Following directions Being on task Helping another student during IP Each good behavior will also be tracked You will hear a sound for each behavior! Agenda Warm Up- 7 Minutes Cornell Style Notes & Examples- 12 Minutes Guided Practice- 12 Minutes Independent Practice- 18 Minutes Closing – 4 Minutes Goal For Today Student Given: 34567 Student Answer: 5 significant figures Take out paper for notes BLUE RED Let’s think about something… Which number has more significant figures? 100.0 100.00 What is a significant figure? Digits in a number that carry meaning contributing to the precision Rule #1 Non-zero digits are ALWAYS significant Example: 243 3 significant figures Check Point How many significant figures are in 12469? 5 significant figures Rule #2 Zeros between non-zero digits are ALWAYS significant Example: 2014 4 significant figures Check Point How many significant figures are in 10002? 5 significant figures Rule #3 Leading zeros are NOT significant Example: 0.0005 1 significant figure Example: 0.0045 2 significant figures Check Point How many significant figures are in 0.000000000512? 3 significant figures Rule #4 Zeros to the right of all non-zero digits are only significant IF a decimal point is shown Example: 0.003120 4 significant figures Example: 31200 3 significant figures Check Point How many significant figures are in 35000? 2 significant figures Check Point How many significant figures are in 35000.0? 6 significant figures Guided Practice Teacher: 1. Will show the problem on the board Students: 1. Take 12 seconds to identify the number of significant figures individually. 2. Take 27 seconds to speak with your shoulder partner about the number of significant figures 3. Be ready to share when Mr. Ghosh says SWAG #1 204.1 4 significant figures #2 900.06 5 significant figures #3 0.0000317010 6 significant figures #4 8,000,000,000 1 significant figure #5 1.00 3 significant figures Independent Practice 85% Silence Closing How many significant figures are in 3,000,000? How many significant figures are in 3,000,000.0? Warm Up: 4 Minutes Sit anywhere you’d like No more than 4 people per row Write the Learning Target Write the number of significant figures in each of the following measurements: 0.0000423 meters 2000 inches 145.6 Liters 2050607 Basketballs Agenda Warm Up- 7 Minutes Cornell Style Notes & Examples- 14 Minutes Guided Practice- 12 Minutes Independent Practice- 16 Minutes Closing – 4 Minutes Goal For Today Student Given: 12 * 13 Student Answer: 160 (why???) Take out paper for notes BLUE RED What are significant figures again??? Digits in a number that carry meaning contributing to the precision Rules for Using Significant Figures Different rules apply for Addition/Subtraction and Multiplication/Division The Addition/Subtraction rule When adding or subtracting, round your final answer to the same number of decimal places as the measurement with the LEAST number of decimal places Example #1 17.2 + 12.54 + 16.912 Example #2 1.4 + 32.11 + 2 Example #3 213.91 – 13.24 + 64.856 The Multiplication/Division rule When multiplying or dividing, round your final answer to the same number of significant figures as the measurement with the LEAST number of significant figures Example #1 17.2 * 2.7 * 13.22 Example #2 12.42 * 1.23 * 21.3546 Example #3 143.77 ÷ 21.2 Guided Practice Teacher: 1. Will show the problem on the board Students: 1. Take 42 seconds to solve the problem individually. 2. Take 66 seconds to speak with your shoulder partner about the answer and the process 3. Be ready to share when Mr. Ghosh says SWAG #1 Gloria obtained a sample of gold. She found that it had a mass of 212.34 grams and a volume of 11.0 mL. What was the density of her sample of gold? Express your answer in g/mL. mass Density = volume #2 The masses of four graduated cylinders were measured. The first mass was 23.618 grams, the second mass was 24.28 grams, the third mass was 22.981 grams, and the fourth mass was 23 grams. What was the total mass of all four graduated cylinders? #3 Jorge was trying to calculate his test average in chemistry. On his first test, he scored a 78. On his second test, he scored a 91. On his third test, he scored an 88.5. Assuming that all three tests are equally weighted, what is his average test grade? Test 1 + Test 2 + Test 3 Average = 3 Independent Practice 85% Silence Closing How do the rules for significant figures in addition and multiplication differ? Warm Up: 4 Minutes Sit anywhere you’d like No more than 4 people per row Write the Learning Target Complete the following problems using the correct number of significant figures: What is 243 * 19? What is 146.12 + 23.4? Agenda Warm Up- 7 Minutes Cornell Style Notes & Examples- 15 Minutes Guided Practice- 12 Minutes Independent Practice- 15 Minutes Closing – 4 Minutes Goal For Today Student Given: Student Answer: 652000 6.52 x 105 5.1 x 10-6 0.0000051 Take out paper for notes BLUE RED What is Scientific Notation? Scientific Notation is a way to write really big or really small numbers in decimal notation Two parts: Coefficient 3.45 x 107 Exponent (power of 10) Significant Figures in Scientific Notation To find the number of significant figures, look at the coefficient Example: 1.422 x 1016 4 significant figures Example: 6.3 x 10-55 2 significant figures Why do we need it? Writing really big or small numbers can take a long time Scientific Notation is a way to make writing really big or really small numbers easier!!! Examples of Scientific Notation There are 7,000,000,000 people in the world 7.0 x 109 people Wavelength of violet light is 0.0000004 meters 4.0 x 10-7 meters There are 100,000,000,000,000 cells in the human body 1.0 x 1012 cells There are 1,390,000,000,000,000,000,000 Liters of water on Earth 1.39 x 1021 Liters Key Vocabulary Scientific Notation Standard Notation Numbers without exponents Standard notation Scientific notation 132,000,000 meters _____ x 10 Step 1: Place a decimal point after the first nonzero number Step 2: Write the coefficient of the scientific notation by dropping all the zeros Don’t Forget Your Units!!! Step 3: Count the number of places from the decimal point to the end of the number (the exponent) Step 4: Write the exponent above the 10. 132,000,000 meters _____ x 10 Is the exponent positive or negative? Counting to the right? Exponent is POSITIVE Counting to the left? Exponent is NEGATIVE Example #1 2,760,000,000,000 atoms Example #2 0.00000000528 meters Scientific notation Standard notation Step 1: Look at the exponent Step 2: Move the decimal the correct number of places (in the correct direction), adding zeros in the empty spaces Step 3: Rewrite the number 6.12 x 105 grams Don’t Forget Your Units!!! Example #1 2.93 x 1014 milligrams Example #2 4.77 x 10-8 mL Guided Practice Teacher: 1. Will show the problem on the board Students: 1. Take 27 seconds to solve the problem individually. 2. Take 43 seconds to speak with your shoulder partner about the answer and the process 3. Be ready to share when Mr. Ghosh says SWAG #1 6,240,000,000,000 Hz #2 3.84 x 10-4 meters #3 5.11 x 108 kg #4 0.0000004036 meters Independent Practice 85% Silence Closing Convert 1452 yards to scientific notation Convert 0.0000000054 mg to scientific notation Convert 4.2 x 10-7 L to standard notation Warm Up: 4 Minutes Sit anywhere you’d like No more than 4 people per row Write the Learning Target Write 4.23 x 10-9 meters in standard notation Write 1,400,000 Hz in scientific notation Agenda Warm Up- 6 Minutes Technology Setup – 10 minutes Cornell Style Notes & Examples- 14 Minutes Guided Practice- 13 Minutes Independent Practice- 9 Minutes Closing – 1 Minute Get Ready to… Technology Setup Go to shschem.weebly.com Wait for further instructions Class Website How will this class change? Notes can be taken on computer using Microsoft OneNote (you may still use paper and pencil if you’d like) All PowerPoint presentations will be online I will put them up at the end of the week LIDS DOWN Take out paper for notes BLUE RED What is dimensional analysis? The analysis of the relationships between different physical quantities Table of Metric Prefixes Prefix Giga- Value 1,000,000,000 MegaKiloHectaDeka- 1,000,000 1,000 100 10 DeciCentiMilli- 0.1 0.01 0.001 MicroNano- 0.000001 0.000000001 Very Important!!! How do we use the chart??? Look at chart for number corresponding to prefix Examples: Milliliter = 0.001 liters Hectameter = 100 meters Gigabyte = 1,000,000,000 bytes Check Point How are gigameters and meters related? 1,000,000,000 meters = 1 gigameter Check Point How are microliters and liters related? 0.000001 liters = 1 microliter Conversion Factor Proportion of two equal quantities used to convert units Example: Liters to milliliters 1 milliliter 0.001 Liter𝑠 Check Point What is the conversion factor from kilograms to grams? 1000 grams 1 kilogram Check Point What is the conversion factor from centiliters to liters? 0.01 Liters 1 centiliter Example #1 How many milliliters are in 3.25 Liters? Step 4: Cancel Units down Step Step 1: 5: Write Multiply thegiven number numbersand on unit top, divide by numbers on the Step 2: Identify the bottom unit desired Step Step 3: 6: Write Roundconversion using significant rules factor with figures known unit on bottom and desired unit on top Example #2 How many meters are in 123.5 kilometers? Example #3 How many hectagrams is equal to 2506 grams? Guided Practice Teacher: 1. Will show the problem on the board Students: 1. Take 46 seconds to solve the problem individually. 2. Take 52 seconds to speak with your shoulder partner about the answer and the process 3. Be ready to share when Mr. Ghosh says SWAG #1 Arely signed up to run a marathon on Sunday. The event organizer told her that it was a total of 262 dekameters. How many meters is this? #2 Roberto bought a new pool for his family. The packaging said that the pool held a total of 2450 liters of water. How many centiliters is this? #3 Eric got ahead in chemistry and wanted to learn about moles through an experiment. Mr. Ghosh told him that he needed 2.604 millimoles of Carbon to complete the experiment. How many moles is this? Independent Practice 85% Silence Exit Ticket – on Socrative 1.Go to m.socrative.com 2.Enter room number: 230538 3.Finish all questions Warm Up: 4 Minutes Sit anywhere you’d like No more than 4 people per row Write the Learning Target When making Texas BBQ brisket, the Food Network says to use 0.5 teaspoons of kosher salt for a 4 pound brisket. How many centiteaspoons is this? Agenda Warm Up- 8 Minutes ??? - 25 Minutes Technology Setup – 10 Minutes Closing – 2 Minutes Pop Quiz Material Covered on Quiz Lewis Dot Structures VSEPR Theory Significant Scientific Figures Notation Goal To demonstrate mastery, we are shooting for Expectations Students will keep eyes on own paper Cheating will result in an automatic ZERO Students will remain SILENT for the duration of the quiz Check Point What is your goal for this quiz? Good Luck!! Technology Setup Go to shschem.weebly.com Wait for further instructions Class Website How will this class change? Notes can be taken on computer using Microsoft OneNote (you may still use paper and pencil if you’d like) All PowerPoint presentations will be online I will put them up at the end of the week Note Taking Method Microsoft OneNote Closing How was your quiz? What topics do you feel you still need review on?