PES Skill Sheets.book - Capital High School

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Name: Date: 13.2 Finding the Least Common Multiple Knowing how to find the least common multiple of two or more numbers is helpful in physical science classes. You need to find the least common multiple in order to add fractions with different denominators, or to predict the chemical formula of many common compounds. The least common multiple is the smallest multiple of two or more whole numbers. To find the least common multiple of 3 and 4, simply list the multiples of each number: multiples of 3: 3, 6, 9, 12, 15... multiples of 4: 4, 8, 12, 16, 20... Then, look for the smallest multiple that occurs in both lists. In this case, the least common multiple is 12. Sometimes it’s a little trickier to find the least common multiple. Suppose you are asked to find the least common multiple of 15 and 36. Rather than making a long list of multiples, you can use the prime factorization method. First, factor each number into primes (remember that prime numbers are numbers that can’t be divided evenly by any whole number except one). Prime factorization of 15: 3 × 5 Prime factorization of 36: 3 × 3 × 2 × 2 Next, create a Venn diagram. Show the factors unique to each number in the separate parts of the circles and the factors common to both in the overlapping circles. Since 15 and 36 each have one 3, put one 3 in the middle. Finally, multiply all the factors in your diagram from left to right: 5 × 3 × 3 × 2 × 2 = 180. The least common multiple of 15 and 36 is 180. 13.2
Page 2 of 2 13.2 Important note: If the two numbers each have more than one copy of a certain prime factor, place the factor in the overlapping circles as many times as necessary. To find the least common multiple of 60 and 72: Prime factorization of 60: 2 × 2 × 3 × 5 Prime factorization of 72: 2 × 2 × 3 × 2 × 3 Notice that 2 appears twice in the overlapping circles because 60 and 72 have two 2’s apiece. 5 × 3 × 2 × 2 × 2 × 3 = 360. The least common multiple of 60 and 72 is 360. Find the least common multiple of each of the following pairs of numbers: 1. 3 and 7 2. 6 and 8 3. 9 and 15 4. 10 and 25 5. 16 and 40 6. 21 and 49 7. 36 and 54 8. 45 and 63 9. 55 and 80 10. 64 and 96
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Chapter and Section Chapter 1: Meas
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Chapter and Section Chapter 5: Forc
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Chapter and Section Chapter 9: Heat
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Chapter and Section Chapter 14: Cha
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Chapter and Section Chapter 18: Ear
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Chapter and Section Chapter 24: Wav
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Name: Date: 1.1 Lab Safety What can
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Page 3 of 6 Safety quiz 1. Draw a d
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Page 5 of 6 c. You suddenly you beg
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Name: Date: 1.1 Using Your Textbook
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Page 2 of 3 The following prefixes
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Name: Date: 1.1 Scientific Notation
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Page 3 of 3 3. Write the numbers in
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Page 2 of 4 Example 1: Measuring ob
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Page 4 of 4 4. . Prefix Symbol Mult
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Name: Date: 1.2 Reading Strategies
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Name: Date: 1.2 Stopwatch Math What
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Name: Date: 1.2 Understanding Light
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Name: Date: 1.2 Indirect Measuremen
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Name: Date: 1.3 Dimensional Analysi
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Name: Date: Skill Builder Fractions
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Page 3 of 4 Solving fraction proble
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Name: Date: 1.3 Significant Digits
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Page 3 of 4 Follow these steps for
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Name: Date: 1.3 Study Notes This sk
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Name: Date: 1.3 Science Vocabulary
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Page 3 of 3 Using the table of pref
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Name: Date: 1.4 Creating Scatterplo
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Name: Date: 1.4 Recognizing Pattern
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Page 3 of 3 Answer the following qu
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Page 2 of 4 Recording valid observa
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Name: Date: 2.2 Using Computer Spre
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Name: Date: 3.1 Latitude and Longit
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Page 3 of 4 Use an atlas or globe t
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Name: Date: 3.1 Map Scales Mapmaker
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Page 2 of 5 It’s time to go! 3.1
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Name: Date: 4.1 Vectors on a Map Yo
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Name: Date: 3.3 Bathymetric Maps Im
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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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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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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 Example 3: A 500-newton
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Page 2 of 2 3. Now, calculate the g
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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 233 and 234: Page 2 of 3 Using temperature data
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Page 245 and 246: Name: Date: 12.1 Atoms and Isotopes
Page 247 and 248: Name: Date: 12.1 Ernest Rutherford
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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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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 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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