PES Skill Sheets.book - Capital High School

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Page 2 of 4 Find the number of significant digits Table 1: Number of Significant Digits Value How many significant digits does each value have? a. 36.33 minutes b. 100 miles c. 120.2 milliliters d. 0.0074 kilometers e. 0.010 kilograms f. 300. grams g. 42 students Using significant digits in calculations Taking measurements and recording data are often a part of science classes. When you use the data in calculations, keep in mind this important principle: When using data in a calculation, your answer can’t be more precise than the least precise measurement. You are using a ruler to measure the length of each side of a rectangle.The ruler is marked in tenths of a centimeter. This means that you can estimate the distance between two 0.1 cm marks and make measurements that are to two places after the decimal. You measure the two short sides of the triangle and find that they each have a length of 12.25 cm. The long sides each have a length of 20.75 cm. The rectangle’s perimeter (distance around) is 12.25 cm + 20.75 cm + 12.25 cm + 20.75 cm, or 66.00 cm. The two zeros to the right of the decimal point show that you measured with a precision of 0.01 cm. The area of the rectangle is found by multiplying the length of the short side by the length of the long side. 2 12.25 cm× 20.75 cm = 254.1875 cm The answer you get from you calculator has seven significant digits. This incorrectly implies that your ruler can measure to one ten-thousandth of a centimeter. Your ruler can’t measure distances that small! 1.3
Page 3 of 4 Follow these steps for determining the right answer for your calculation: • When multiplying or dividing measurements, find the measurement in the calculation with the least number of significant digits. After doing your calculation, round the answer to that number of significant digits. In the rectangle example on the previous page, each measurement has 4 significant digits. When you 1.3 multiply the measurements to find the area, your answer should be rounded to four significant digits. The area should be reported as 254.2 cm2 . • When adding or subtracting measurements, the answer must not contain more decimal places than your least accurate measurement. In the rectangle example, the perimeter is reported to two decimal places to show that your ruler measures length to the nearest 0.01 centimeter. It is important to note that when adding or subtracting, you are not concerned with the number of significant digits to the left of the decimal point. When adding 1.25 cm + 1,000.50 cm + 2,000,000.75 cm, the answer is 2,001,002.50 cm. It is okay to have an answer with nine significant digits, because only TWO of them are to the right of the decimal point. • When you are finding the average of several measurements, remember that numbers found by counting have an infinite number of significant digits. For example, a student measures the distance between two magnets when their attractive force is first felt. He repeats the experiment three times. His results are: 23.25 cm, 23.30 cm, 23.20 cm. To find the average distance, He adds the three times and divides the sum by three. “Three” is the number of times the experiment is repeated. 23.25 cm + 23.30 cm + 23.20 cm = 23.25 cm 3 In this equation, the number 3 is found by counting the number of times the experiment is repeated, not by measuring something. Therefore it is said to have an infinite number of significant digits. That’s why the answer has four significant digits, not just one. Report your answers with significant digits Have you ever participated in a road race? The following problems are all related to a road race event. Can you come up with some other problems that you might have to solve if you were running in or volunteering for a road race? 1. The banner over the finish line of a running race is 400. centimeters long and 85 centimeters high. What is the area of the banner?
Page 1 and 2: Chapter and Section Chapter 1: Meas
Page 3 and 4: Chapter and Section Chapter 5: Forc
Page 5 and 6: Chapter and Section Chapter 9: Heat
Page 7 and 8: Chapter and Section Chapter 14: Cha
Page 9 and 10: Chapter and Section Chapter 18: Ear
Page 11 and 12: Chapter and Section Chapter 24: Wav
Page 13 and 14: Name: Date: 1.1 Lab Safety What can
Page 15 and 16: Page 3 of 6 Safety quiz 1. Draw a d
Page 17 and 18: Page 5 of 6 c. You suddenly you beg
Page 19 and 20: Name: Date: 1.1 Using Your Textbook
Page 21 and 22: Page 2 of 3 The following prefixes
Page 23 and 24: Name: Date: 1.1 Scientific Notation
Page 25 and 26: Page 3 of 3 3. Write the numbers in
Page 27 and 28: Page 2 of 4 Example 1: Measuring ob
Page 29 and 30: Page 4 of 4 4. . Prefix Symbol Mult
Page 31 and 32: Name: Date: 1.2 Reading Strategies
Page 33 and 34: Name: Date: 1.2 Stopwatch Math What
Page 35 and 36: Name: Date: 1.2 Understanding Light
Page 37 and 38: Name: Date: 1.2 Indirect Measuremen
Page 39 and 40: Name: Date: 1.3 Dimensional Analysi
Page 41 and 42: Name: Date: Skill Builder Fractions
Page 43 and 44: Page 3 of 4 Solving fraction proble
Page 45: Name: Date: 1.3 Significant Digits
Page 49 and 50: Name: Date: 1.3 Study Notes This sk
Page 51 and 52: Name: Date: 1.3 Science Vocabulary
Page 53 and 54: Page 3 of 3 Using the table of pref
Page 55 and 56: Page 2 of 2 5. Earth’s moon is co
Page 57 and 58: Page 2 of 3 When precise conversion
Page 59 and 60: Name: Date: 1.4 Creating Scatterplo
Page 61 and 62: Page 3 of 3 g. What is the position
Page 63 and 64: Page 2 of 2 1.4 1. Given the variab
Page 65 and 66: Page 2 of 3 Step 3: Look at the ran
Page 67 and 68: Name: Date: 1.4 Recognizing Pattern
Page 69 and 70: Page 3 of 3 Answer the following qu
Page 71 and 72: Page 2 of 2 4. Measurements: List a
Page 73 and 74: Page 2 of 2 2. Your teacher shows y
Page 75 and 76: Page 2 of 4 Recording valid observa
Page 77 and 78: Page 4 of 4 b. How did the student
Page 79 and 80: Page 2 of 3 Name: Lucy O. Date: Jan
Page 81 and 82: Name: Date: 2.2 Using Computer Spre
Page 83 and 84: Page 3 of 3 5. The following data i
Page 85 and 86: Page 2 of 2 2. John notices that hi
Page 87 and 88: Name: Date: 3.1 Latitude and Longit
Page 89 and 90: Page 3 of 4 Use an atlas or globe t
Page 91 and 92: Name: Date: 3.1 Map Scales Mapmaker
Page 93 and 94: Page 3 of 3 f. Point Q to Point M g
Page 95 and 96: Page 2 of 5 It’s time to go! 3.1
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Page 4 of 5 37. Now you will head t
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Name: Date: 4.1 Vectors on a Map Yo
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Page 2 of 3 1. Draw a profile map o
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Name: Date: 3.3 Bathymetric Maps Im
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Page 1 of 2 3.3 Tanya Atwater Tanya
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Name: Date: 4.1 Solving Equations w
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Page 3 of 4 Use the formula V = l
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Name: Date: 4.1 Problem Solving Box
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Page 2 of 3 In problems 6 and 7, yo
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Name: Date: 4.1 Percent Error When
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Page 3 of 3 1. The lab group conduc
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Page 2 of 3 1. A bicyclist travels
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Name: Date: 4.1 Velocity Speed and
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Name: Date: 4.2 Calculating Slope f
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Name: Date: 4.2 Analyzing Graphs of
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Page 3 of 4 1. For each position-ti
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Name: Date: 4.2 Analyzing Graphs of
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Name: Date: 4.3 Acceleration Accele
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Name: Date: 4.3 Acceleration and Sp
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Page 3 of 3 3. Graph 3: 4. Find acc
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Page 2 of 3 Example 1: How fast wil
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Name: Date: 5.1 Ratios and Proporti
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Name: Date: 5.1 Internet Research S
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Name: Date: 5.1 Preparing a Bibliog
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Name: Date: 5.1 Mass vs. Weight Wha
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Page 2 of 2 1. A physical science t
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Page 2 of 2 How much does it weigh
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Page 2 of 2 Answer the following pr
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Name: Date: 5.3 Equilibrium When al
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Name: Date: 6.1 Net Force and Newto
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Page 2 of 2 Reading reflection 1. I
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Name: Date: 6.3 Applying Newton’s
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Name: Date: 6.3 Momentum Conservati
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Name: Date: 6.3 Collisions and Cons
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Name: Date: 6.3 Rate of Change of M
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Page 3 of 3 6. A 50.-g (0.050-kg) e
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Page 2 of 2 1. A machine uses an in
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Page 2 of 2 Example 3: A 500-newton
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Page 2 of 2 7. You pull your sled t
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Page 2 of 2 The relationship betwee
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Page 2 of 2 6. Use the gear ratio f
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Page 2 of 2 The three classes of le
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Page 2 of 2 3. Now, calculate the g
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Page 2 of 2 To do this calculation,
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Name: Date: 7.2 Energy Transformati
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Name: Date: 7.2 Conservation of Ene
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Page 2 of 2 Reading reflection 1. W
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Name: Date: 7.3 Power In science, w
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Name: Date: 7.3 Power in Flowing En
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Name: Date: 7.3 Efficiency and Ener
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Page 2 of 2 Reading the temperature
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Page 2 of 4 1. For each of the prob
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Page 4 of 4 1. Surface temperatures
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Page 2 of 2 The graph below shows a
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Name: Date: 9.1 Using the Heat Equa
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Name: Date: 10.1 Measuring Mass wit
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Page 3 of 3 Reading the balance cor
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Page 2 of 2 d. Explain how the disp
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Page 2 of 3 Calculating volume of a
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Name: Date: 10.1 Density The densit
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Name: Date: 10.3 Pressure in Fluids
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Name: Date: 10.3 Boyle’s Law The
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Name: Date: 10.4 Charles’s Law Ch
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Name: Date: 10.4 Archimedes 10.4 Ar
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Name: Date: 10.4 Narcís Monturiol
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Name: Date: 10.4 Archimedes’ Prin
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Name: Date: 11.1 Layers of the Atmo
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Page 2 of 2 Reading reflection 1. H
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Page 2 of 3 Using temperature data
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Page 1 of 2 11.3 Joanne Simpson 11.
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Name: Date: 11.3 Weather Maps You h
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Name: Date: 11.3 Tracking a Hurrica
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Page 3 of 4 Hurricane Andrew crosse
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Name: Date: 12.1 Structure of the A
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Name: Date: 12.1 Atoms and Isotopes
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Name: Date: 12.1 Ernest Rutherford
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Name: Date: 12.2 Electrons and Ener
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Page 2 of 2 Periodic Table Groups T
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Page 2 of 2 Using dot diagrams to r
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Page 2 of 2 13.2 Important note: If
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Page 2 of 2 Example 2: Aluminum and
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Page 2 of 2 13.2 Predict the name o
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Page 2 of 2 Using the information i
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Page 2 of 3 Conservation of atoms T
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Name: Date: 14.1 The Avogadro Numbe
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Page 3 of 4 Substance Elements in s
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Name: Date: 14.1 Formula Mass A che
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Name: Date: 14.2 Classifying Reacti
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Name: Date: 14.2 Predicting Chemica
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Name: Date: 14.2 Percent Yield You
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Name: Date: 14.4 Lise Meitner Lise
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Name: Date: 14.4 Marie and Pierre C
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Page 2 of 2 Reading reflection 1. R
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Page 2 of 2 Reading reflection 1. U
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Page 2 of 2 1. The decay series for
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Page 2 of 2 Reading reflection 1. D
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. Page 2 of 3 i. Switches 2, 3, and
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Name: Date: 16.1 Benjamin Franklin
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Name: Date: 16.2 Using an Electric
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Page 3 of 4 Build a series circuit
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Name: Date: 16.3 Voltage, Current,
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Page 3 of 3 Now you will have the o
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Page 2 of 2 7. How much voltage wou
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Page 2 of 2 5. Use the series circu
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Page 2 of 2 In part (d) of problems
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Page 2 of 2 Reading reflection 1. N
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Page 2 of 2 7. The directions—nor
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Page 2 of 2 6. Repeat step 5 to for
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Page 2 of 2 A transformer steps dow
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Page 2 of 2 4. Calculate the power
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Page 2 of 4 Determining the relativ
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Page 4 of 4 Extension—Creating cl
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Page 2 of 2 Reading reflection 1. N
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Name: Date: 19.1 Earth’s Interior
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Page 2 of 2 Reading reflection 1. L
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Page 2 of 2 Reading reflection 1. E
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Name: Date: 19.4 Continental United
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Page 3 of 4 When a mountain is form
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Name: Date: 20.1 Averaging The most
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Page 2 of 5 Locating the epicenter
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Page 4 of 5 20.1 For each of the pr
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Name: Date: 20.2 Volcano Parts 20.2
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Name: Date: 21.2 Calculating Concen
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Name: Date: 21.2 Solubility In this
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Page 3 of 3 The influence of temper
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Page 2 of 3 Work through these exam
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Name: Date: 21.3 Calculating pH The
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Name: Date: 22.1 Groundwater and We
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Page 3 of 3 Testing the model: 1. W
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Name: Date: 24.1 Period and Frequen
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Page 2 of 2 2. Use the grids below
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Page 2 of 2 2. Use the grids below
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Page 2 of 3 x-axis (blocks) Height
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Name: Date: 24.3 Decibel Scale The
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Page 2 of 2 a. ____________________
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Page 2 of 2 2. Two students want to
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Name: Date: 24.3 Palm Pipes Project
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Page 3 of 3 6. Challenge: You can f
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Page 2 of 2 Answer the following pr
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Page 2 of 2 4. You see a chair that
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Page 2 of 2 a. ____________________
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Name: Date: 25.3 Using Ray Diagrams
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Page 2 of 2 2. Light strikes a mirr
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Page 2 of 2 Which way does the ligh
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Page 2 of 2 25.3 1. A lens has a fo
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Name: Date: 26.1 Gravity Problems I
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Name: Date: 26.1 Universal Gravitat
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Page 1 of 2 26.1 Nicolaus Copernicu
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Page 1 of 2 26.1 Galileo Galilei Ga
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Page 1 of 2 26.1 Johannes Kepler 26
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Name: Date: 26.1 Measuring the Moon
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Page 3 of 3 Semi-Circle Card: 26.1
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Page 2 of 2 Reading reflection 1. B
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Page 2 of 2 Part 2: Provisions for
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Page 1 of 2 27.1 Arthur Walker 27.1
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Name: Date: 27.2 The Inverse Square
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Page 2 of 3 1. Fill in the missing
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Name: Date: 28.1 Understanding Ligh
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Name: Date: 28.1 Parsecs You have a
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Page 1 of 2 28.1 Edwin Hubble Edwin
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Name: Date: 28.2 Light Intensity Pr
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Page 2 of 2 If we know the brightne
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Page 2 of 2 Solving Doppler Shift P
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13. A decimeter is 100 times larger
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Skill Sheet 1.3: Significant Digits
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7. Yes, there is a relationship bet
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6. The slope is the same (2.0) unti
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13. S Sh—Sand and shells on the b
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10. 410 miles 11. 6.6 miles -------
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Skill Sheet 4.2: Analyzing Graphs o
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Skill Sheet 5.1: Mass, Weight, and
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Skill Sheet 6.3: Applying Newton’
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Skill Sheet 7.1: Mechanical Advanta
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8. The middle gear turns left. The
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Skill Sheet 7.3: Power in Flowing E
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Skill Sheet 10.1: Calculating volum
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3. Answers are: a. 100 cm 3 b. 13 N
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Skill Sheet 11.3: Weather Maps Samp
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a. b. c. d. e f. Skill Sheet 12.2:
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Skill Sheet 14.1: Chemical Equation
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must be blocking their insulin’s
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8. The current is approximately the
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7. Students can find information ab
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Skill Sheet 17.4: Electrical Power
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Skill Sheet 19.1: Charles Richter 1
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Practice 2: 1. First problem is don
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Skill Sheet 21.3: Calculating pH 1.
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Question 8 (con’t) 9. The new wav
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Skill Sheet 25.2: The Human Eye a.
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Skill Sheet 26.1: Nicolaus Copernic
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Skill Sheet 27.1: Arthur Walker 1.
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