Measurement and Uncertainty
|
|
|
- Avice Phillips
- 6 years ago
- Views:
Transcription
1 Physics 1020 Laboratory #1 Measurement and Uncertainty 1 Measurement and Uncertainty Any experimental measurement or result has an uncertainty associated with it. In todays lab you will perform a set of very simple measurements. You will have to estimate the random uncertainty associated with each of them. As a rule of thumb the precision of your measuring device (for example a ruler) is always a very good starting value for your uncertainty. Furthermore you will be asked to perform some calculations using the values you just measured. The results of those calculations will also have an uncertainty associated with them. To obtain those values you will have to follow a set of rules. They are explained on page X of this book in Making Measurements in Physics section. Finally you will collect a set of 10 measurements of the same quantity from your classmates and asked to calculate their average. That result also has an uncertainty associated with it. Your instruction will tell you how to calculate it. Also recall that the perimeter P of a rectangular object is the total length of all the sides, i.e P = L + L + W + W = 2L + 2W where L is the length of the object and W is the width. Similarly the area A of a solid rectangular object is A = L W Below is a summary of some of the rules you will need for your uncertainty calculations: Addition/Subtraction Rule When finding a result by adding or subtracting uncertain quantities, the absolute experimental uncertainty in the result is the sum of the absolute experimental uncertainties of the uncertain quantities. IF z = x + y OR z = x y THEN δz = δx + δy
2 Physics 1020 Laboratory #1 Measurement and Uncertainty 2 Example: A = (122 ± 5) m, B = (207 ± 2) m C = A + B = 122 m m = 329 m δc = δa + δb = 5 m + 2 m = 7 m C = (329 ± 7) m Multiplication/Division Rule When finding a result by multiplying or dividing uncertain quantities, the relative experimental uncertainty in the result is the sum of the relative experimental uncertainties of the uncertain quantities. IF z = x y OR z = x y THEN δz z = δx x + δy y Example: A = (120 ± 5)m, B = (200 ± 10)m C = A B = 120 m 200 m = m 2 δc C = δa A + δb B = 5 m 10 m m 200 m = δc = δc C C = m2 = 2200 m 2 C = (24000 ± 2000)m 2 or (2.4 ± 0.2) 10 4 m 2 Note: The uncertainty δc = 2200 m 2 has been rounded to one significant figure, so it becomes 2000 m 2. Important: the only difference in the two rules is one uses absolute experimental uncertainty and one uses relative experimental uncertainty. If you use the multiplication rule, you can always get the absolute experimental uncertainty from the relative experimental uncertainty.
3 Physics 1020 Laboratory #1 Measurement and Uncertainty 3 Prelab Questions These questions need to be completed before entering the lab. Please show all workings. Marker s Initials Prelab 1 A rectangular object has length L = cm and width W = cm. What are the absolute uncertainties in length and width? Find the relative uncertainties in length and width. Prelab 2 Given a set of length measurements: 60.4, 60.0, 61.1, 60.8, 60.6 cm. Find the average (mean) length Find the standard error (refer to the introductory pages of your Lab Workbook).
4 Physics 1020 Laboratory #1 Measurement and Uncertainty 4 Laboratory Worksheet Name and Student Number: Partner: Date: Table 1: Length Width Value Units QUESTION 1: QUESTION 2: δl = δw = QUESTION 3: L = W = QUESTION 4: δl L = δw W =
5 Physics 1020 Laboratory #1 Measurement and Uncertainty 5 QUESTION 5: CHECKPOINT: Instructor Initial QUESTION 6: P = QUESTION 7: δp = QUESTION 8: P = QUESTION 9:
6 Physics 1020 Laboratory #1 Measurement and Uncertainty 6 Table 2: Length Value Uncertainty Units QUESTION 10: QUESTION 11: A = L W = QUESTION 12: δa A = QUESTION 13:
7 Physics 1020 Laboratory #1 Measurement and Uncertainty 7 QUESTION 14: δa = A =
8 Physics 1020 Laboratory #1 Measurement and Uncertainty 8 graph paper is 1 cm 1cm squares
9 Physics 1020 Laboratory #1 Measurement and Uncertainty 9 Table 3: Area Value Uncertainty Units QUESTION 15: QUESTION 16:
10 Physics 1020 Laboratory #1 Measurement and Uncertainty 10 Table 4: L i (cm) W i (cm) L W L (cm) W (cm) N = (no units) N = (no units) L L N (cm) W W N (cm) QUESTION 17: L = δl L =
11 Physics 1020 Laboratory #1 Measurement and Uncertainty 11 QUESTION 18: W = δw W = QUESTION 19: QUESTION 20:
APPENDIX A: DEALING WITH UNCERTAINTY
APPENDIX A: DEALING WITH UNCERTAINTY 1. OVERVIEW An uncertainty is always a positive number δx > 0. If the uncertainty of x is 5%, then δx =.05x. If the uncertainty in x is δx, then the fractional uncertainty
Propagation of Error Notes
Propagation of Error Notes From http://facultyfiles.deanza.edu/gems/lunaeduardo/errorpropagation2a.pdf The analysis of uncertainties (errors) in measurements and calculations is essential in the physics
Dealing with uncertainty
Appendix A Dealing with uncertainty A.1 Overview An uncertainty is always a positive number δx > 0. If you measure x with a device that has a precision of u, thenδx is at least as large as u. Fractional
Dealing with uncertainty
Appendix A Dealing with uncertainty A.1 Overview An uncertainty is always a positive number δx > 0. If you measure x with a device that has a precision of u, thenδx is at least as large as u. Fractional
Physics 1050 Experiment 1. Introduction to Measurement and Uncertainty
Introduction to Measurement and Uncertainty Prelab Questions! Q These questions need to be completed before entering the lab. Show all workings. Prelab 1: A car takes time t = 2.5 +/- 0.2 s to travel a
Measurements, Sig Figs and Graphing
Measurements, Sig Figs and Graphing Chem 1A Laboratory #1 Chemists as Control Freaks Precision: How close together Accuracy: How close to the true value Accurate Measurements g Knowledge Knowledge g Power
Table 1. Densities of common substances in g/ml Mercury 13.6 Alcohol Lead 11.4 Ice Aluminum 2.70 Air
Worksheet I.4: Density Calculations Name: Date: Table 1. Densities of common substances in g/ml Mercury 13.6 Alcohol 0.789 Lead 11.4 Ice 0.917 Aluminum 2.70 Air 0.00120 Use the information above to answer
Error analysis for the physical sciences A course reader for phys 1140 Scott Pinegar and Markus Raschke Department of Physics, University of Colorado
Error analysis for the physical sciences A course reader for phys 1140 Scott Pinegar and Markus Raschke Department of Physics, University of Colorado Version 1.0 (September 9, 2012) 1 Part 1 (chapter 1
Appendix II Calculation of Uncertainties
Part 1: Sources of Uncertainties Appendix II Calculation of Uncertainties In any experiment or calculation, uncertainties can be introduced from errors in accuracy or errors in precision. A. Errors in
Uncertainties & Error Analysis Tutorial
Uncertainties & Error Analysis Tutorial Physics 118/198/1 Reporting Measurements Uncertainties & Error Analysis Tutorial When we report a measured value of some parameter, X, we write it as X X best ±
Fundamentals of data, graphical, and error analysis
Fundamentals of data, graphical, and error analysis. Data measurement and Significant Figures UTC - Physics 030L/040L Whenever we take a measurement, there are limitations to the data and how well we can
MEASUREMENT AND ERROR. A Short Cut to all your Error Analysis Needs Fall 2011 Physics Danielle McDermott
MEASUREMENT AND ERROR A Short Cut to all your Error Analysis Needs Fall 2011 Physics 31210 Danielle McDermott Estimating Errors in Measurements The term error refers to the uncertainty in our measurements.
ERROR AND GRAPHICAL ANALYSIS WORKSHEET
Student Names: Course: Section: Instructor: ERROR AND GRAPHICAL ANALYSIS WORKSHEET Instructions: For each section of this assignment, first read the relevant section in the Yellow Pages of your Lab Manual.
Force Vectors and Static Equilibrium
Force Vectors 1 Force Vectors and Static Equilibrium Overview: In this experiment you will hang weights from pulleys over the edge of a small round force table, to exert various forces on a metal ring
MEASUREMENT IN THE LABORATORY
1 MEASUREMENT IN THE LABORATORY INTRODUCTION Today's experiment will introduce you to some simple but important types of measurements commonly used by the chemist. You will measure lengths of objects,
Experiment 1 - Mass, Volume and Graphing
Experiment 1 - Mass, Volume and Graphing In chemistry, as in many other sciences, a major part of the laboratory experience involves taking measurements and then calculating quantities from the results
Possible Prelab Questions.
Possible Prelab Questions. Read Lab 2. Study the Analysis section to make sure you have a firm grasp of what is required for this lab. 1) A car is travelling with constant acceleration along a straight
Physics 115 Experiment 1. Introduction to Measurement and Error Analysis (PHY 115 and 117)
Physics 115 Experiment 1 Introduction to Measurement and Error Analysis (PHY 115 and 117) Introduction In the sciences, measurement plays an important role. The accuracy of the measurement, as well as
The Treatment of Numerical Experimental Results
Memorial University of Newfoundl Department of Physics Physical Oceanography The Treatment of Numerical Experimental Results The purpose of these notes is to introduce you to some techniques of error analysis
Error Analysis in Experimental Physical Science Mini-Version
Error Analysis in Experimental Physical Science Mini-Version by David Harrison and Jason Harlow Last updated July 13, 2012 by Jason Harlow. Original version written by David M. Harrison, Department of
CHM111 Lab Math Review Grading Rubric
Name CHM111 Lab Math Review Grading Rubric Part 1. Basic Algebra and Percentages Criteria Points possible Points earned Question 1 (0.25 points each question) 2 Question 2 (0.25 points each question) 1
CHM101 Lab Math Review and Significant Figures Grading Rubric
Name CHM101 Lab Math Review and Significant Figures Grading Rubric Criteria Points possible Points earned Part A (0.25 each) 3.5 Part B (0.25 each) 2.5 Part C (0.25 each) 1.5 Part D (Q5 0.25 each, Q6 &
Physics: Uncertainties - Student Material (AH) 1
UNCERTAINTIES Summary of the Basic Theory associated with Uncertainty It is important to realise that whenever a physical quantity is being measured there will always be a degree of inaccuracy associated
POGIL: Sig Figs in Calculations
Name: Date: Period: Chemistry POGIL: Sig Figs in Calculations WHY? Many of the measurements a scientist makes in lab are further analyzed or used to calculate derived units, such as area, speed, and pressure.
MEASUREMENT VARIATION
Name Partner(s) Section Date MEASUREMENT VARIATION OBJECT This activity focuses on the variability in measurements of a property and explores methods of expressing the variation. Let's explore! PROCEDURE.
Experiment 2: Projectile Motion
Experiment 2: Projectile Motion You will verify that a projectile s velocity and acceleration components behave as described in class. A ball bearing rolls off of a ramp, becoming a projectile. It flies
Experimental Uncertainties
Experimental Uncertainties 1 Measurements of any physical quantity can never be exact. One can only know its value with a range of uncertainty. If an experimenter measures some quantity X, the measurement
Accuracy and precision in measurements
Accuracy and precision in measurements Scientists aim towards designing experiments that can give a true value from their measurements, but due to the limited precision in measuring devices, they often
Precision Correcting for Random Error
Precision Correcting for Random Error The following material should be read thoroughly before your 1 st Lab. The Statistical Handling of Data Our experimental inquiries into the workings of physical reality
Lecture 2: Reporting, Using, and Calculating Uncertainties 2. v = 6050 ± 30 m/s. v = 6047 ± 3 m/s
1 CHAPTER 2: Reporting and Using Uncertainties Quoting a result as: Best Estimate ± Uncertainty In the Archimedes experiment result, we had a table which read Measurement of Crown Density by Two Experts
PHYSICS 30S/40S - GUIDE TO MEASUREMENT ERROR AND SIGNIFICANT FIGURES
PHYSICS 30S/40S - GUIDE TO MEASUREMENT ERROR AND SIGNIFICANT FIGURES ACCURACY AND PRECISION An important rule in science is that there is always some degree of uncertainty in measurement. The last digit
Wheels Radius / Distance Traveled
Mechanics Teacher Note to the teacher On these pages, students will learn about the relationships between wheel radius, diameter, circumference, revolutions and distance. Students will use formulas relating
The exponent of a number shows you how many times the number is being multiplied by itself.
Name Evaluating Numerical Expressions with Exponents- Step-by-Step Lesson Lesson 1 Exponent Problem: Write the expression as an exponent. 4 x 4 x 4 x 4 x 4 Explanation: The exponent of a number shows you
PHY 123 Lab 1 - Error and Uncertainty and the Simple Pendulum
To print higher-resolution math symbols, click the Hi-Res Fonts for Printing button on the jsmath control panel. PHY 13 Lab 1 - Error and Uncertainty and the Simple Pendulum Important: You need to print
This term refers to the physical quantity that is the result of the measurement activity.
Metrology is the science of measurement and involves what types of measurements are possible, standards, how to properly represent a number and how to represent the uncertainty in measurement. In 1993
Physics 2A Lab 1 Measuring Human Reaction Time
Physics 2A Lab 1 Measuring Human Reaction Time Lana Sheridan De Anza College Sept 25, 2018 Overview Discussion of laboratory work Theory Equipment Procedure Why we do lab work To confirm or disprove hypotheses
Measurements and Data Analysis
Measurements and Data Analysis 1 Introduction The central point in experimental physical science is the measurement of physical quantities. Experience has shown that all measurements, no matter how carefully
IB Physics (HL) Student Guide for Measurement Error and Uncertainty Analysis. Ballston Spa High School
IB Physics (HL) Student Guide for Measurement Error and Uncertainty Analysis Ballston Spa High School Error & Uncertainty No measurement is ever perfectly exact or perfectly correct; every measurement
Uncertainty in Measurement
CHICO STATE UNIVERSITY, PHYSICS DEPARTMENT DR. CULBREATH FALL 2015 Uncertainty in Measurement REFERENCES: Many sections of this text adapted and summarized from An Introduction to Error Analysis: The Study
Shenandoah University. (PowerPoint) LESSON PLAN *
Shenandoah University (PowerPoint) LESSON PLAN * NAME DATE 10/28/04 TIME REQUIRED 90 minutes SUBJECT Algebra I GRADE 6-9 OBJECTIVES AND PURPOSE (for each objective, show connection to SOL for your subject
BRIEF SURVEY OF UNCERTAINITY IN PHYSICS LABS
BRIEF SURVEY OF UNCERTAINITY IN PHYSICS LABS THREE CASES OF UNCERTAINTY CALCULATION There are two main situations when dealing with uncertainty calculation of a given parameter; or it is measured or it
EXPERIMENT 2 Acceleration of Gravity
Name Date: Course number: Laboratory Section: Partners Names: Last Revised on Februrary 3, 08 Grade: EXPERIENT Acceleration of Gravity. Pre-Laboratory Work [0 pts]. You have just completed the first part
Measurement. New Topics accuracy vs. precision rounding in chemistry significant figures determining uncertainty of a measurement % error moles - 1 -
Measurement Unit Description In this unit we will focus on the mathematical tools we use in science, especially chemistry the metric system and moles. We will also talk about how to gauge the accuracy
Physics 2020 Laboratory Manual
Physics 00 Laboratory Manual Department of Physics University of Colorado at Boulder Spring, 000 This manual is available for FREE online at: http://www.colorado.edu/physics/phys00/ This manual supercedes
Appendix C: Accuracy, Precision, and Uncertainty
Appendix C: Accuracy, Precision, and Uncertainty How tall are you? How old are you? When you answered these everyday questions, you probably did it in round numbers such as "five foot, six inches" or "nineteen
PHYS Uncertainty Analysis
PHYS 213 1 Uncertainty Analysis Types of uncertainty We will consider two types of uncertainty that affect our measured or calculated values: random uncertainty and systematic uncertainty. Random uncertainties,
Electromagnetism lab project
Electromagnetism lab project Contents 1. Overview of the course 2. How to analyse errors in measurements 3. How to make graphical representations (plots) Overview Four lab experiments Biot Savart s law
Task Booklet 2008 Grade 8
Date: Your Name: Partner s Name(s): Task Booklet 2008 Grade 8 Slide Slowly YEARS Released Science Inquiry Task Colliding s Science Directions: You will conduct a science investigation called Colliding
SMALL INCREMENTS CALCULUS 13. Dr Adrian Jannetta MIMA CMath FRAS INU0115/515 (MATHS 2) Small increments 1/15 Adrian Jannetta
SMALL INCREMENTS CALCULUS 13 INU0115/515 (MATHS 2) Dr Adrian Jannetta MIMA CMath FRAS Small increments 1/15 Adrian Jannetta Objectives In this presentation we re going to look at one of the applications
Introduction to Uncertainty and Treatment of Data
Introduction to Uncertainty and Treatment of Data Introduction The purpose of this experiment is to familiarize the student with some of the instruments used in making measurements in the physics laboratory,
Essential Question How can you solve an absolute value inequality? Work with a partner. Consider the absolute value inequality x
Learning Standards HSA-CED.A.1 HSA-REI.B.3.6 Essential Question How can you solve an absolute value inequality? COMMON CORE Solving an Absolute Value Inequality Algebraically MAKING SENSE OF PROBLEMS To
Accuracy and Precision of Laboratory Glassware: Determining the Density of Water
Accuracy and Precision of Laboratory Glassware: Determining the Density of Water During the semester in the general chemistry lab, you will come into contact with various pieces of laboratory glassware.
MATH EVALUATION. What will you learn in this Lab?
MATH EVALUATION What will you learn in this Lab? This exercise is designed to assess whether you have been exposed to the mathematical methods and skills necessary to complete the lab exercises you will
PHY 101L - Experiments in Mechanics
PHY 101L - Experiments in Mechanics introduction to error analysis What is Error? In everyday usage, the word error usually refers to a mistake of some kind. However, within the laboratory, error takes
BRIEF SURVEY OF UNCERTAINITY IN PHYSICS LABS
BRIEF SURVEY OF UNCERTAINITY IN PHYSICS LABS THREE CASES OF UNCERTAINTY CALCULATION There are two main situations when dealing with uncertainty calculation of a given parameter; or it is measured or it
Appendix B: Accuracy, Precision and Uncertainty
Appendix B: Accuracy, Precision and Uncertainty How tall are you? How old are you? When you answered these everyday questions, you probably did it in round numbers such as "five foot, six inches" or "nineteen
Chem 321 Lecture 5 - Experimental Errors and Statistics 9/10/13
Chem 321 Lecture 5 - Experimental Errors and Statistics 9/10/13 Student Learning Objectives Experimental Errors and Statistics Calibration Results for a 2.0-mL Transfer Pipet 1.998 ml 1.991 ml 2.001 ml
FORCE TABLE INTRODUCTION
FORCE TABLE INTRODUCTION All measurable quantities can be classified as either a scalar 1 or a vector 2. A scalar has only magnitude while a vector has both magnitude and direction. Examples of scalar
Linear Kinematics John Smith Kathy Hernandez (partner) Physics 1 Lab (Friday) Mr. Kiledjian 02/24/2006
Linear Kinematics John Smith Kathy Hernandez (partner) Physics 1 Lab (Friday) Mr. Kiledjian 02/24/2006 Purpose: In this lab, we will investigate the relationship between displacements, velocity, and acceleration.
Group 1 Group 2. 1 meter = 100 cm 9.88 cm of Copper Wire 1 dollar = 4 quarters Room Temp is 22.7 C
NAME: DUE DATE: JUNE 11 TH AP Chemistry SUMMER REV: Sig Figs Why? The number of digits (significant figures) reported for a measured value conveys the quality of the measurement and hence, the quality
Modesto Junior College Course Outline of Record MATH 20
Modesto Junior College Course Outline of Record MATH 20 I. OVERVIEW The following information will appear in the 2009-2010 catalog MATH 20 Pre-Algebra 5 Units Designed to help students prepare for algebra
Notes: Unit 1: Math and Measurement
Name: Regents Chemistry: Notes: Unit 1: Math and Measurement www.chempride.weebly.com Key Ideas Major Understandings: o Chemistry is the study of matter: Matter takes up space and has mass. (K- 4, 3.1a)
Notes: Unit 1: Math and Measurement
Name: Regents Chemistry: Notes: Unit 1: Math and Measurement www.chempride.weebly.com Key Ideas Major Understandings: o Chemistry is the study of matter: Matter takes up space and has mass. (K- 4, 3.1a)
Capacitors. How long did the LED remain lit when the capacitors were connected in series?
Labs for College Physics - Electricity and Magnetism Worksheet Lab 2-1 Capacitors As you work through the steps in the lab procedure, record your experimental values and the results on this worksheet.
Mathematics Second Practice Test 1 Levels 6-8 Calculator not allowed
Mathematics Second Practice Test 1 Levels 6-8 Calculator not allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of your school
MATH REFRESHER ANSWER SHEET (Note: Only this answer sheet and the following graph page will be evaluated)
NAME: SCORE: /50 MATH REFRESHER ANSWER SHEET (Note: Only this answer sheet and the following graph page will be evaluated) 1. 23. 2. 24. 3. 25. 4. 26. 5. 27. 6. 28. 7. 29. 8. 30. 9. 31. 10. 32. 11. 33.
Math Refresher Answer Sheet (NOTE: Only this answer sheet and the following graph will be evaluated)
Name: Score: / 50 Math Refresher Answer Sheet (NOTE: Only this answer sheet and the following graph will be evaluated) 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. MAKE SURE CALCULATOR
Summer Work Packet for MPH Math Classes
Summer Work Packet for MPH Math Classes Students going into Algebra II/Trig AC Sept. 018 Name: This packet is designed to help students stay current with their math skills. Each math class expects a certain
Industrial Electricity
Industrial Electricity PRELAB / LAB 7: Series & Parallel Circuits with Faults Name PRELAB due BEFORE beginning the lab (initials required at the bottom of page 3) PLEASE TAKE THE TIME TO READ THIS PAGE
Normal Distributions Rejection of Data + RLC Circuits. Lecture 4 Physics 2CL Summer 2011
Normal Distributions Rejection of Data + RLC Circuits Lecture 4 Physics 2CL Summer 2011 Outline Reminder of simple uncertainty propagation formulae Hidden useful formula for estimating uncertainties More
PHYSICS LAB Experiment 8 Fall 2004 BALLISTIC PENDULUM
PHYSICS 83 - LAB Experiment 8 Fall 004 BALLISTIC PENDULUM In this experiment we will study the application of the laws of conservation of momentum and energy in a ballistic pendulum apparatus. The device
Introduction to 1118 Labs
Name: Partner(s): 1118 section: Desk # Date: Introduction to 1118 Labs Introductory materials are at: www.langaraphysics.com/lab.html. You may find following 3 links useful for this lab: Measurements:
Lab 1: Measurement. PART 1: Exponential Notation: Powers of 10
Lab 1: Measurement Equipment: 2 meter sticks You will find these websites useful for today s lab: SI Base Units: http://physics.nist.gov/cuu/units/units.html Metric prefixes: http://physics.nist.gov/cuu/units/prefixes.html
Experiment 3 Forces are Vectors
Name Partner(s): Experiment 3 Forces are Vectors Objectives Preparation Pre-Lab Understand that some quantities in physics are vectors, others are scalars. Be able to perform vector addition graphically
AP Physics 1 Summer Assignment Packet 2
Name: Email address (write legibly): AP Physics 1 Summer Assignment Packet 2 Read through the Symbols, Units, Equations, and Sample Problem given in the instructions packet. The worksheets included in
Summer Mathematics Prep
Summer Mathematics Prep Entering Geometry Chesterfield County Public Schools Department of Mathematics Summer Mathematics Prep documents provide self-directed student review, practice, and preparation
Physics 12 Rules for Significant Digits and Rounding
1 Physics 12 Rules for Significant Digits and Rounding One mathematical aspect of problem-solving in the physical sciences that gives some students difficulty deals with the rounding of computed numerical
Physics 136-1: General Physics Lab Laboratory Manual - Mechanics. Northwestern University
Physics 136-1: General Physics Lab Laboratory Manual - Mechanics Northwestern University Version 1.1a May 18, 2018 1 Contents Foreword 5 1. Introduction to the Laboratory 7 1.1 Objectives of Introductory
Worksheet 0.3: Math and Measurements
Name Block Worksheet 0.3: Math and Measurements READING MEASURING DEVICES NOTES Here are a couple of examples of graduated cylinders: An important part of Chemistry is measurement. It is very important
New Paltz Central School District Mathematics Third Grade
September - Unit 1: Place Value and Numeration/Addition and Use hundred charts and number lines. Place Value October Subtraction Read and write numbers to 1,000. Pre- What is place value? Order numbers
Introduction to Computer Tools and Uncertainties
Experiment 1 Introduction to Computer Tools and Uncertainties 1.1 Objectives To become familiar with the computer programs and utilities that will be used throughout the semester. To become familiar with
Unit 3 Day 13 Review 1
Unit 3 Day 13 Review 1 Warm-up! Graph the following functions, with at least 4 points. Find the domain and range. Then, tell how they are changed from their parent graph. (Hint: Remember that the order
Course Project. Physics I with Lab
COURSE OBJECTIVES 1. Explain the fundamental laws of physics in both written and equation form 2. Describe the principles of motion, force, and energy 3. Predict the motion and behavior of objects based
SUMMER MATH PACKET. Geometry A COURSE 227
SUMMER MATH PACKET Geometry A COURSE 7 MATH SUMMER PACKET INSTRUCTIONS Attached you will find a packet of exciting math problems for your enjoyment over the summer. The purpose of the summer packet is
Averaging, Errors and Uncertainty
Averaging, Errors and Uncertainty Types of Error There are three types of limitations to measurements: 1) Instrumental limitations Any measuring device can only be used to measure to with a certain degree
Understanding Errors and Uncertainties in the Physics Laboratory
Chapter 2 Understanding Errors and Uncertainties in the Physics Laboratory 2.1 Introduction We begin with a review of general properties of measurements and how measurements affect what we, as scientists,
Basic algebra and graphing for electric circuits
Basic algebra and graphing for electric circuits This worksheet and all related files are licensed under the Creative Commons Attribution License, version 1.0. To view a copy of this license, visit http://creativecommons.org/licenses/by/1.0/,
Measurement Error PHYS Introduction
PHYS 1301 Measurement Error Introduction We have confidence that a particular physics theory is telling us something interesting about the physical universe because we are able to test quantitatively its
Math 111, Spring 2009 Final Exam
Math 111, Spring 009 Final Exam Name (print) Instructor s name Directions 1. Time limit: 1 hour 50 minutes. Each test should have 8 pages. Points for each problem are to the right of the blank.. To receive
Measurement of Mass, Length, and Time
Measurement of Mass, Length, and Time INTRODUCTION In an experiment 1 we define and determine the relationship between physical characteristics of nature that have been observed. Measurement of those physical
Measurement Error PHYS Introduction
PHYS 1301 Measurement Error Introduction We have confidence that a particular physics theory is telling us something interesting about the physical universe because we are able to test quantitatively its
Foundations of Mathematics and Pre-Calculus 10. Sample Questions for Algebra and Number. Teacher Version
Foundations of Mathematics and Pre-Calculus 0 Sample Questions for Algebra and Number Teacher Version Instructions. You may require a protractor and a ruler (metric and imperial) for paper versions of
REVIEW PACKET FOR CHEM 110 EXAM 1
REVIEW PACKET FOR CHEM 110 EXAM 1 EXAM FORMAT You will have one hour for the exam. Expert Level (A+): Finished at 30 min Mastery Level (A): Finished between 30 min and 45 min Proficiency Level (B): Finished
1.4 Pulling a Rabbit Out of the Hat
1.4 Pulling a Rabbit Out of the Hat A Solidify Understanding Task I have a magic trick for you: Pick a number, any number. Add 6 Multiply the result by 2 Subtract 12 Divide by 2 The answer is the number
Data and Error Analysis
Data and Error Analysis Introduction In this lab you will learn a bit about taking data and error analysis. The physics of the experiment itself is not the essential point. (Indeed, we have not completed
Math Study Guide Due: Monday, February 6, 2017 Semester 1 3 rd Grade Math Benchmark Study Guide
Name: #: Math Study Guide Assigned to Student: Wednesday, January 25, 2017 Math Study Guide Due: Monday, February 6, 2017 Semester 1 3 rd Grade Math Benchmark Study Guide Your 35 question Math Benchmark
Algebra/Geometry Institute Summer 2009
Algebra/Geometry Institute Summer 2009 Faculty Name: Vivian Wilder School: D.M. Smith Middle School Grade Level: 7 th Grade 1 Teaching objective(s): The students will develop measurement concepts and formulas
Graphing Radicals Business 7
Graphing Radicals Business 7 Radical functions have the form: The most frequently used radical is the square root; since it is the most frequently used we assume the number 2 is used and the square root
Experiment 1 Simple Measurements and Error Estimation
Experiment 1 Simple Measurements and Error Estimation Reading and problems (1 point for each problem): Read Taylor sections 3.6-3.10 Do problems 3.18, 3.22, 3.23, 3.28 Experiment 1 Goals 1. To perform
How to Write a Laboratory Report
How to Write a Laboratory Report For each experiment you will submit a laboratory report. Laboratory reports are to be turned in at the beginning of the lab period, one week following the completion of