Chapter 6 Quiz This table lists all possible outcomes when two tetrahedral (four-sided) dice are rolled.

Size: px
Start display at page:

Download "Chapter 6 Quiz This table lists all possible outcomes when two tetrahedral (four-sided) dice are rolled."

Transcription

1 Quiz 1 Name Date 1. This table lists all possible outcomes when two tetrahedral (four-sided) dice are rolled. First Die Second Die , 1 1, 2 1, 3 1, 4 2 2, 1 2, 2 2, 3 2, 4 3 3, 1 3, 2 3, 3 3, 4 4 4, 1 4, 2 4, 3 4, 4 a. Make a probability distribution table for the difference of the numbers on the two dice (first second), and verify that your distribution is indeed a probability distribution. b. Describe the shape of the distribution in part a. c. What are the expected value and standard deviation for the probability distribution in part a? d. If you roll a pair of tetrahedral dice, what is the probability that the difference (first second) is greater than 1? 2. A large university sponsors a raffle and sells 2400 tickets. a. What is the expected value of a ticket if there is one prize worth $500, four prizes worth $100, and ten prizes worth $10? What is the standard deviation? b. Suppose a person buys five tickets. What is the expected total value of her tickets? Can you compute the standard deviation of this total by multiplying the standard deviation from part a by 5? Explain. 3. A batch of fifteen computer chips contains exactly six that are defective. Four chips are selected randomly without replacement. If X represents the number of defective chips selected, explain why X will not have a binomial distribution. 4. The proportion of households in the United States that own a cat is approximately Suppose you pick four households at random and count the number of households that own a cat. a. Verify that you can treat your random sample as a binomial situation. b. What is the probability that none of the households in your sample own a cat? c. What is the probability that at least one of the households owns a cat? d. Make a probability distribution table for the number of households that own a cat. 68 Chapter 6 Quiz 1 Statistics in Action Instructor s Resource Book

2 Quiz 1 (continued) 5. The weight of a large herd of goats was found to have a distribution that is approximately normal with mean 70.8 kg and standard deviation 6.4 kg. a. Suppose two goats are selected at random. Describe the sampling distribution of the sum of their weights. b. What is the probability that the sum of their weights is less than 145 kg? c. What is the probability that the first goat selected is more than 5 kg heavier than the second goat? d. What is the probability that the sum of the weights of ten randomly selected goats is greater than 750 kg? Statistics in Action Instructor s Resource Book Chapter 6 Quiz 1 69

3 Quiz 2 Name Date 1. A study of community college enrollments in a certain state finds that 60% of all full-time students are younger than 20. a. If a random sample of 4 community college students is selected from this state, find the probability that at least 3 of the students are younger than 20. b. Consider a random sample of 15 community college students from this state. i. What is the expected number of students who are younger than 20? ii. What is the standard deviation of the number of students who are younger than 20? c. For the situation described in part b, is it appropriate to use the normal approximation to estimate the probability of getting at least 12 students who are younger than 20? Explain. 2. The proportion of households in the United States that own both a cat and a dog is Suppose you randomly pick one household at a time until you find a household that owns both a cat and a dog. a. Verify that the distribution of the random variable X that counts the number of trials needed until you pick the first household that owns both a cat and a dog can be considered a geometric distribution. b. What is the probability that you pick a household that owns both a cat and a dog on your first trial? c. What is the probability that you pick the first household that owns both a cat and a dog on your fourth trial? 3. Consider again the situation described in Question 2, where the proportion of households in the United States that own both a cat and a dog is approximately a. What is the expected number of households you will have to pick to obtain the first household that owns both a cat and a dog? b. What is the standard deviation of the number of households you will have to pick to obtain the first household that owns both a cat and a dog? 70 Chapter 6 Quiz 2 Statistics in Action Instructor s Resource Book

4 Test A Name Date 1. If random variables X and Y are independent, then which of these statements is not true? A. X Y X Y B. 25 X 25 X C. 2X 5 2X D. 2X 4 X E. X Y X Y 2. Suppose you buy a raffle ticket in each of 25 consecutive weeks in support of your favorite charity. One of the 1200 raffle tickets sold each week pays $2000. What do you expect to win for those 25 weeks, and with what standard deviation? A. win about $0, give or take about $58 B. win about $25, give or take about $58 C. win about $42, give or take about $58 D. win about $42, give or take about $289 E. win about $210, give or take about $ Suppose Lynn rolls a fair die until a six appears on top. What is the probability that it will take Lynn more than two rolls to get a six the first time? A B C D E A wheel has 38 numbers, 1, 2, 3,..., 38. A player picks a number and bets $20. The wheel is spun, and if the player s number results, he or she is paid $700 (and gets to keep the $20 bet). If another number results, the house keeps the $20. Suppose a typical player bets on 60 spins per hour. What is the expected net gain per hour for the house on each player? A. $63 B. $43 C. $38 D. $20 E. $20 5. Which of these statements are true when comparing the binomial and geometric distributions? I. Both the binomial and geometric distributions have a fixed number of trials. II. Both the binomial and geometric distributions appear mound-shaped when the probability of success in each trial, p, equals 0.5. III. Both the binomial and geometric distributions assume the trials are independent and the probability of success on each trial is the same. A. I only B. II only C. III only D. I and II E. I and III Statistics in Action Instructor s Resource Book Chapter 6 Test A 71

5 Test A (continued) 6. If Chris rolls two dice and gets a sum of 2 or 12, he wins $20 from the house. If he gets a 7, he wins $5. The cost to play the game is $3, which isn t returned on a win. Explain whether this is a fair game. If not, who has the advantage? 7. Of all U.S. fourth graders, 71% are assigned mathematics homework three or more times per week. If 5 fourth graders are randomly selected to be checked for this frequency of homework assignment during a randomly chosen week, find the probability that a. exactly one fourth grader was assigned homework three or more times that week b. no fourth grader was assigned homework three or more times that week c. at least one fourth grader was assigned homework three or more times that week 8. A survey of drivers in the United States found that 15% never use a cell phone while driving. Suppose that drivers arrive at random at an auto inspection station. a. If the inspector checks 10 drivers, what is the probability that at least one driver never uses a cell phone while driving? b. Suppose the inspector checks 1000 drivers. Use the normal approximation to the binomial distribution to find the approximate probability that at least 13% of these drivers never use a cell phone while driving. c. If the drivers are inspected sequentially as they arrive randomly at the inspection station, what is the probability that the first driver who uses a cell phone while driving is the third driver checked? d. What is the expected number of drivers who must be checked to find the first who never uses a cell phone while driving? e. What is the expected number of drivers who must be checked to find the first driver who uses a cell phone while driving? f. If it costs $5 to question each driver, what is the expected cost and standard deviation of questioning up to and including the first driver who uses a cell phone while driving? g. Will the cost of inspection in part f often exceed $15? Explain. 9. Describe how to use a table of random digits to simulate the situation in Question 8, part a. 72 Chapter 6 Test A Statistics in Action Instructor s Resource Book

6 Test A (continued) 10. This table presents data about the number of television sets per household in the United States in Number of Television Sets Proportion of Households or more 0.05 a. Explain how you would simulate a distribution for the number of television sets in a random sample of ten U.S. households. b. Use your process once with these lines from a random digit table to find the mean number of television sets for ten randomly selected households c. Compute the mean and standard deviation of this population. Count 5 or more as 5. d. What is the probability that a random sample of 10 U.S. households will have a mean of 3 television sets or more? (Make sure to check conditions and draw a sketch.) Statistics in Action Instructor s Resource Book Chapter 6 Test A 73

7 Test B Name Date 1. If random variables X and Y are independent, then which of these statements is not true? A. X Y X Y B. 9 X X C. 5X 10 5X D. 9X 9 X E. X Y X Y 2. Suppose you buy a raffle ticket in each of ten consecutive weeks in support of your favorite charity. One of the 1500 raffle tickets sold each week pays $1000. What do you expect to win for those 10 weeks, and with what standard deviation? A. win about $0, give or take about $26 B. win about $7, give or take about $26 C. win about $7, give or take about $82 D. win about $10, give or take about $26 E. win about $10, give or take about $82 3. Suppose Alex rolls a fair die until either a one or three appears on top. What is the probability that it will take Alex more than three rolls to get either a one or three the first time? A B C D E A wheel has 38 numbers, 1, 2, 3,..., 38. A player picks a number and bets 10 chips. The wheel is spun, and if the player s number results, she is paid 300 chips (and gets to keep the 10 chip bet). If another number results, the house keeps the 10 chips. Suppose a typical player bets on 30 spins per hour. What is the approximate expected net chip gain per hour for the house on each player? A. 65 B. 55 C. 38 D. 10 E Which of these statements are true when comparing the binomial and geometric distributions? I. Both the binomial and geometric distributions include trials that have two outcomes. II. Both the binomial and geometric distributions are skewed right. III. Both the binomial and geometric distributions assume the trials are independent and the probability of success on each trial is the same. A. I only B. II only C. III only D. I and II E. I and III 74 Chapter 6 Test B Statistics in Action Instructor s Resource Book

8 Test B (continued) 6. If Chris rolls two dice and gets a sum of 7, he wins $10 from the house. If he gets a 2, 3, or 12, he wins $20. The cost to play the game is $5, which isn t returned on a win. Explain whether this is a fair game. If not, who has the advantage? 7. According to a Nielsen NetRatings survey, about 59% of the population of the United States and Canada (adults and children older than 2) had accessed the Internet recently. If four people from the United States or Canada had been selected at random, find the probability that a. exactly two accessed the Internet recently b. no one accessed the Internet recently c. at least one accessed the Internet recently 8. A recent report from the Postal Rate Commission Office of the Consumer Advocate concluded that 33% of three-day Priority mail was not delivered by the end of the third day. Suppose an impartial inspector checks the on-time delivery of a random sample of Priority packages at the time of the report. a. If the inspector randomly checks ten packages, what is the probability that at least one package did not arrive on time (by the end of the third day)? b. Suppose the inspector checks 1000 Priority packages. Use the normal approximation to the binomial distribution to find the approximate probability that at least 25% of these packages don t arrive on time. c. What is the probability that the first Priority package delivered on time is the fourth package checked? d. What is the expected number of packages that need to be checked to find the first that doesn t arrive on time? e. What is the expected number of packages that need to be checked to find the first that does arrive on time? f. If it costs $3 to check the delivery of each Priority package, what is the expected cost and standard deviation of checking up to and including the first package that did not arrive on time? g. Will the cost of inspection in part f often exceed $25? Explain. 9. Describe how to use a table of random digits to simulate the situation in Question 8, part a. Statistics in Action Instructor s Resource Book Chapter 6 Test B 75

9 Test B (continued) 10. This table presents data about the number of telephone lines per household in the United States. Number of Telephone Lines Proportion of Households or more 0.04 a. Explain how you would simulate a distribution for the number of telephone lines in a random sample of ten U.S. households. b. Use your process once with this random digit table to find the mean number of telephones for ten randomly selected households c. Compute the mean and standard deviation of this population. Count 4 or more as 4. d. What is the probability that a random sample of 10 U.S. households will have a mean of 2.5 telephone lines or greater? (Make sure to check conditions and draw a sketch.) 76 Chapter 6 Test B Statistics in Action Instructor s Resource Book

10 AP Practice Quiz Name Date 1. Which of these statements is not true of discrete probability distributions? The sum of the probabilities is 1. The graph of the distribution must exhibit symmetry. The value of the standard deviation can be less than, equal to, or greater than the value of the mean. Each probability in the distribution must be greater than or equal to 0. All of these are true statements. 2. A probability distribution of earnings from a $1000 investment in an Internet company for a term of three years is Earnings Probability How much do you expect to earn from this three-year investment? $800 $1000 $1200 $2000 $ If X and Y are random variables, which of these statements must be true? X Y X Y XY 3X 2Y 3 X 2 Y X Y X Y only if X and Y are independent. X Y is a random variable with a mean equal to the greater of X and Y. None of these must be true. 4. In the game of roulette, there are 18 red numbers, 18 black numbers, and 2 green numbers. A player bets that a red number will come up. If it does, the house pays the player $1. If it doesn t, the player pays the house $1. What is the expected value of a player s winnings each time he or she plays this game? none of the above 5. The probability of success on any one trial is 0.4, and you have a maximum of 10 trials in which to get a success. Which of these expressions will calculate the probability that you will get a success on one of your first four attempts? 10 4 (0.4) 4 (0.6) (0.4)10 (0.6) (0.6) 0.4 (0.6) (0.6) (0.6) 0.4 (0.6) (0.6) 3 P(0.5 X 4.5) where X is normally distributed with mean 4 and standard deviation 10(0.4) (0.6). 6. A blood bank knows that only about 10% of its regular donors have type B blood. a. The technician will check 10 donations today. What is the chance that at least one will be type B? What assumptions are you making? b. The technician will check 100 donations this month. What is the probability that at least 10% of them will be type B? c. This bank needs 16 type B donations. If the technician checks 100 donations, does the blood bank have a good chance of getting the amount of type B blood it needs? What recommendation would you have for the blood bank managers? d. What is the probability that the technician will have to check at least 4 donations before getting the first that is type B? Statistics in Action Instructor s Resource Book Chapter 6 AP Practice Quiz 77

11 Chapters 2 6 AP Practice Quiz Name Date 1. Which of these statements is not true about the variance in a binomial distribution B(n, p)? For a fixed p, the variance increases as n increases. For a fixed n, the variance is maximum when p 0.5. The variance depends only on n. The variance is constant for a specific n and p. None of these are true. 2. The scores of a number of students on a physical fitness test are given in this cumulative percentile plot. About what percentage of students have scores below 30? Percentile Score Consider this game: In each turn of the game, you flip a coin three times. If you get three heads, you win 7 points. If you get the sequence head, tail, head, you win 3 points. If you get any other sequence, you receive no points for that turn. What is your expected value per turn for this game? 10 points 1.25 points 2.5 points 4 points none of these 4. A simple random sample of current CEOs were asked their number of years as a CEO and the dollar value of their benefits. These data were organized into pairs (time in years, benefits in $1000s). The scatterplot appears exponential, and the transformation (x, y) _ (x, ln y) is applied to the data. A graphing calculator yields the linear regression equation y a bx, where a , b 0.464, and r What are the estimated benefits for a CEO employed 12 years? $5,876 $63,995 $75,519 $356,345 $751, To study the effects of location and music on studying, a researcher selects 100 college students at random and has them study 2 hours for a standardized test. Half of the students study in a familiar location (their dorm room), and the other half study in an unfamiliar location (a study carrel at the library). Within each group, music is played for half of the students and no music is played for the other half. After 2 hours of study time, all of the students take the standardized test and their scores are compared. Which of these terms best describes the combination of being in an unfamiliar location and having no music playing? experimental unit factor level response variable treatment 78 Chapters 2 6 AP Practice Quiz Statistics in Action Instructor s Resource Book

12 Chapters 2 6 AP Practice Quiz (continued) 6. Suppose you roll a fair four-sided (tetrahedral) die and a fair six-sided die. a. How many possible outcomes are there? b. Show all of them in a table or in a tree diagram. c. What is the probability of getting doubles? d. What is the probability of getting a sum of 3? e. Are the events getting doubles and getting a sum of 4 disjoint? Are they independent? f. Are the events getting a 2 on the tetrahedral die and getting a 5 on the six-sided die disjoint? Are they independent? Statistics in Action Instructor s Resource Book Chapters 2 6 AP Practice Quiz 79

4-3 Basic Skills and Concepts

4-3 Basic Skills and Concepts 4-3 Basic Skills and Concepts Identifying Binomial Distributions. In Exercises 1 8, determine whether the given procedure results in a binomial distribution. For those that are not binomial, identify at

More information

The Evolution of Random Phenomena

The Evolution of Random Phenomena The Evolution of Random Phenomena A Look at Markov Chains Glen Wang glenw@uchicago.edu Splash! Chicago: Winter Cascade 2012 Lecture 1: What is Randomness? What is randomness? Can you think of some examples

More information

Algebra 2- Semester 2 Review

Algebra 2- Semester 2 Review Name Block Date Algebra 2- Semester 2 Review Non-Calculator 5.4 1. Consider the function f x 1 x 2. a) Describe the transformation of the graph of y 1 x. b) Identify the asymptotes. c) What is the domain

More information

STT 231 Test 1. Fill in the Letter of Your Choice to Each Question in the Scantron. Each question is worth 2 point.

STT 231 Test 1. Fill in the Letter of Your Choice to Each Question in the Scantron. Each question is worth 2 point. STT 231 Test 1 Fill in the Letter of Your Choice to Each Question in the Scantron. Each question is worth 2 point. 1. A professor has kept records on grades that students have earned in his class. If he

More information

Probability and Statistics Curriculum Pacing Guide

Probability and Statistics Curriculum Pacing Guide Unit 1 Terms PS.SPMJ.3 PS.SPMJ.5 Plan and conduct a survey to answer a statistical question. Recognize how the plan addresses sampling technique, randomization, measurement of experimental error and methods

More information

Chapters 1-5 Cumulative Assessment AP Statistics November 2008 Gillespie, Block 4

Chapters 1-5 Cumulative Assessment AP Statistics November 2008 Gillespie, Block 4 Chapters 1-5 Cumulative Assessment AP Statistics Name: November 2008 Gillespie, Block 4 Part I: Multiple Choice This portion of the test will determine 60% of your overall test grade. Each question is

More information

Mathematics Success Grade 7

Mathematics Success Grade 7 T894 Mathematics Success Grade 7 [OBJECTIVE] The student will find probabilities of compound events using organized lists, tables, tree diagrams, and simulations. [PREREQUISITE SKILLS] Simple probability,

More information

STA 225: Introductory Statistics (CT)

STA 225: Introductory Statistics (CT) Marshall University College of Science Mathematics Department STA 225: Introductory Statistics (CT) Course catalog description A critical thinking course in applied statistical reasoning covering basic

More information

AP Statistics Summer Assignment 17-18

AP Statistics Summer Assignment 17-18 AP Statistics Summer Assignment 17-18 Welcome to AP Statistics. This course will be unlike any other math class you have ever taken before! Before taking this course you will need to be competent in basic

More information

Using Proportions to Solve Percentage Problems I

Using Proportions to Solve Percentage Problems I RP7-1 Using Proportions to Solve Percentage Problems I Pages 46 48 Standards: 7.RP.A. Goals: Students will write equivalent statements for proportions by keeping track of the part and the whole, and by

More information

Curriculum Design Project with Virtual Manipulatives. Gwenanne Salkind. George Mason University EDCI 856. Dr. Patricia Moyer-Packenham

Curriculum Design Project with Virtual Manipulatives. Gwenanne Salkind. George Mason University EDCI 856. Dr. Patricia Moyer-Packenham Curriculum Design Project with Virtual Manipulatives Gwenanne Salkind George Mason University EDCI 856 Dr. Patricia Moyer-Packenham Spring 2006 Curriculum Design Project with Virtual Manipulatives Table

More information

Shockwheat. Statistics 1, Activity 1

Shockwheat. Statistics 1, Activity 1 Statistics 1, Activity 1 Shockwheat Students require real experiences with situations involving data and with situations involving chance. They will best learn about these concepts on an intuitive or informal

More information

Spinners at the School Carnival (Unequal Sections)

Spinners at the School Carnival (Unequal Sections) Spinners at the School Carnival (Unequal Sections) Maryann E. Huey Drake University maryann.huey@drake.edu Published: February 2012 Overview of the Lesson Students are asked to predict the outcomes of

More information

Name: Class: Date: ID: A

Name: Class: Date: ID: A Name: Class: _ Date: _ Test Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Members of a high school club sold hamburgers at a baseball game to

More information

S T A T 251 C o u r s e S y l l a b u s I n t r o d u c t i o n t o p r o b a b i l i t y

S T A T 251 C o u r s e S y l l a b u s I n t r o d u c t i o n t o p r o b a b i l i t y Department of Mathematics, Statistics and Science College of Arts and Sciences Qatar University S T A T 251 C o u r s e S y l l a b u s I n t r o d u c t i o n t o p r o b a b i l i t y A m e e n A l a

More information

Cal s Dinner Card Deals

Cal s Dinner Card Deals Cal s Dinner Card Deals Overview: In this lesson students compare three linear functions in the context of Dinner Card Deals. Students are required to interpret a graph for each Dinner Card Deal to help

More information

EDEXCEL FUNCTIONAL SKILLS PILOT. Maths Level 2. Chapter 7. Working with probability

EDEXCEL FUNCTIONAL SKILLS PILOT. Maths Level 2. Chapter 7. Working with probability Working with probability 7 EDEXCEL FUNCTIONAL SKILLS PILOT Maths Level 2 Chapter 7 Working with probability SECTION K 1 Measuring probability 109 2 Experimental probability 111 3 Using tables to find the

More information

ACTIVITY: Comparing Combination Locks

ACTIVITY: Comparing Combination Locks 5.4 Compound Events outcomes of one or more events? ow can you find the number of possible ACIVIY: Comparing Combination Locks Work with a partner. You are buying a combination lock. You have three choices.

More information

Mathematics process categories

Mathematics process categories Mathematics process categories All of the UK curricula define multiple categories of mathematical proficiency that require students to be able to use and apply mathematics, beyond simple recall of facts

More information

1.11 I Know What Do You Know?

1.11 I Know What Do You Know? 50 SECONDARY MATH 1 // MODULE 1 1.11 I Know What Do You Know? A Practice Understanding Task CC BY Jim Larrison https://flic.kr/p/9mp2c9 In each of the problems below I share some of the information that

More information

Grade 6: Correlated to AGS Basic Math Skills

Grade 6: Correlated to AGS Basic Math Skills Grade 6: Correlated to AGS Basic Math Skills Grade 6: Standard 1 Number Sense Students compare and order positive and negative integers, decimals, fractions, and mixed numbers. They find multiples and

More information

Maths Games Resource Kit - Sample Teaching Problem Solving

Maths Games Resource Kit - Sample Teaching Problem Solving Teaching Problem Solving This sample is an extract from the first 2015 contest resource kit. The full kit contains additional example questions and solution methods. Rationale and Syllabus Outcomes Learning

More information

UNIT ONE Tools of Algebra

UNIT ONE Tools of Algebra UNIT ONE Tools of Algebra Subject: Algebra 1 Grade: 9 th 10 th Standards and Benchmarks: 1 a, b,e; 3 a, b; 4 a, b; Overview My Lessons are following the first unit from Prentice Hall Algebra 1 1. Students

More information

Managerial Decision Making

Managerial Decision Making Course Business Managerial Decision Making Session 4 Conditional Probability & Bayesian Updating Surveys in the future... attempt to participate is the important thing Work-load goals Average 6-7 hours,

More information

May To print or download your own copies of this document visit Name Date Eurovision Numeracy Assignment

May To print or download your own copies of this document visit  Name Date Eurovision Numeracy Assignment 1. An estimated one hundred and twenty five million people across the world watch the Eurovision Song Contest every year. Write this number in figures. 2. Complete the table below. 2004 2005 2006 2007

More information

Statistical Studies: Analyzing Data III.B Student Activity Sheet 7: Using Technology

Statistical Studies: Analyzing Data III.B Student Activity Sheet 7: Using Technology Suppose data were collected on 25 bags of Spud Potato Chips. The weight (to the nearest gram) of the chips in each bag is listed below. 25 28 23 26 23 25 25 24 24 27 23 24 28 27 24 26 24 25 27 26 25 26

More information

Grade 2: Using a Number Line to Order and Compare Numbers Place Value Horizontal Content Strand

Grade 2: Using a Number Line to Order and Compare Numbers Place Value Horizontal Content Strand Grade 2: Using a Number Line to Order and Compare Numbers Place Value Horizontal Content Strand Texas Essential Knowledge and Skills (TEKS): (2.1) Number, operation, and quantitative reasoning. The student

More information

Measures of the Location of the Data

Measures of the Location of the Data OpenStax-CNX module m46930 1 Measures of the Location of the Data OpenStax College This work is produced by OpenStax-CNX and licensed under the Creative Commons Attribution License 3.0 The common measures

More information

Association Between Categorical Variables

Association Between Categorical Variables Student Outcomes Students use row relative frequencies or column relative frequencies to informally determine whether there is an association between two categorical variables. Lesson Notes In this lesson,

More information

Evaluating Statements About Probability

Evaluating Statements About Probability CONCEPT DEVELOPMENT Mathematics Assessment Project CLASSROOM CHALLENGES A Formative Assessment Lesson Evaluating Statements About Probability Mathematics Assessment Resource Service University of Nottingham

More information

Left, Left, Left, Right, Left

Left, Left, Left, Right, Left Lesson.1 Skills Practice Name Date Left, Left, Left, Right, Left Compound Probability for Data Displayed in Two-Way Tables Vocabulary Write the term that best completes each statement. 1. A two-way table

More information

One Way Draw a quick picture.

One Way Draw a quick picture. Name Multiply Tens, Hundreds, and Thousands Essential Question How does understanding place value help you multiply tens, hundreds, and thousands? Lesson 2.3 Number and Operations in Base Ten 4.NBT.5 Also

More information

Certified Six Sigma Professionals International Certification Courses in Six Sigma Green Belt

Certified Six Sigma Professionals International Certification Courses in Six Sigma Green Belt Certification Singapore Institute Certified Six Sigma Professionals Certification Courses in Six Sigma Green Belt ly Licensed Course for Process Improvement/ Assurance Managers and Engineers Leading the

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Ch 2 Test Remediation Work Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) High temperatures in a certain

More information

Characteristics of Functions

Characteristics of Functions Characteristics of Functions Unit: 01 Lesson: 01 Suggested Duration: 10 days Lesson Synopsis Students will collect and organize data using various representations. They will identify the characteristics

More information

Unit 3 Ratios and Rates Math 6

Unit 3 Ratios and Rates Math 6 Number of Days: 20 11/27/17 12/22/17 Unit Goals Stage 1 Unit Description: Students study the concepts and language of ratios and unit rates. They use proportional reasoning to solve problems. In particular,

More information

MMOG Subscription Business Models: Table of Contents

MMOG Subscription Business Models: Table of Contents DFC Intelligence DFC Intelligence Phone 858-780-9680 9320 Carmel Mountain Rd Fax 858-780-9671 Suite C www.dfcint.com San Diego, CA 92129 MMOG Subscription Business Models: Table of Contents November 2007

More information

Algebra 1, Quarter 3, Unit 3.1. Line of Best Fit. Overview

Algebra 1, Quarter 3, Unit 3.1. Line of Best Fit. Overview Algebra 1, Quarter 3, Unit 3.1 Line of Best Fit Overview Number of instructional days 6 (1 day assessment) (1 day = 45 minutes) Content to be learned Analyze scatter plots and construct the line of best

More information

In how many ways can one junior and one senior be selected from a group of 8 juniors and 6 seniors?

In how many ways can one junior and one senior be selected from a group of 8 juniors and 6 seniors? Counting Principle If one activity can occur in m way and another activity can occur in n ways, then the activities together can occur in mn ways. Permutations arrangements of objects in a specific order

More information

Mathematics subject curriculum

Mathematics subject curriculum Mathematics subject curriculum Dette er ei omsetjing av den fastsette læreplanteksten. Læreplanen er fastsett på Nynorsk Established as a Regulation by the Ministry of Education and Research on 24 June

More information

EGRHS Course Fair. Science & Math AP & IB Courses

EGRHS Course Fair. Science & Math AP & IB Courses EGRHS Course Fair Science & Math AP & IB Courses Science Courses: AP Physics IB Physics SL IB Physics HL AP Biology IB Biology HL AP Physics Course Description Course Description AP Physics C (Mechanics)

More information

Preliminary Chapter survey experiment an observational study that is not a survey

Preliminary Chapter survey experiment an observational study that is not a survey 1 Preliminary Chapter P.1 Getting data from Jamie and her friends is convenient, but it does not provide a good snapshot of the opinions held by all young people. In short, Jamie and her friends are not

More information

MAT 122 Intermediate Algebra Syllabus Summer 2016

MAT 122 Intermediate Algebra Syllabus Summer 2016 Instructor: Gary Adams Office: None (I am adjunct faculty) Phone: None Email: gary.adams@scottsdalecc.edu Office Hours: None CLASS TIME and LOCATION: Title Section Days Time Location Campus MAT122 12562

More information

Visit us at:

Visit us at: White Paper Integrating Six Sigma and Software Testing Process for Removal of Wastage & Optimizing Resource Utilization 24 October 2013 With resources working for extended hours and in a pressurized environment,

More information

Probability Therefore (25) (1.33)

Probability Therefore (25) (1.33) Probability We have intentionally included more material than can be covered in most Student Study Sessions to account for groups that are able to answer the questions at a faster rate. Use your own judgment,

More information

Understanding and Interpreting the NRC s Data-Based Assessment of Research-Doctorate Programs in the United States (2010)

Understanding and Interpreting the NRC s Data-Based Assessment of Research-Doctorate Programs in the United States (2010) Understanding and Interpreting the NRC s Data-Based Assessment of Research-Doctorate Programs in the United States (2010) Jaxk Reeves, SCC Director Kim Love-Myers, SCC Associate Director Presented at UGA

More information

Functional Maths Skills Check E3/L x

Functional Maths Skills Check E3/L x Functional Maths Skills Check E3/L1 Name: Date started: The Four Rules of Number + - x May 2017. Kindly contributed by Nicola Smith, Gloucestershire College. Search for Nicola on skillsworkshop.org Page

More information

Dublin City Schools Mathematics Graded Course of Study GRADE 4

Dublin City Schools Mathematics Graded Course of Study GRADE 4 I. Content Standard: Number, Number Sense and Operations Standard Students demonstrate number sense, including an understanding of number systems and reasonable estimates using paper and pencil, technology-supported

More information

ESSENTIAL SKILLS PROFILE BINGO CALLER/CHECKER

ESSENTIAL SKILLS PROFILE BINGO CALLER/CHECKER ESSENTIAL SKILLS PROFILE BINGO CALLER/CHECKER WWW.GAMINGCENTREOFEXCELLENCE.CA TABLE OF CONTENTS Essential Skills are the skills people need for work, learning and life. Human Resources and Skills Development

More information

Number Line Moves Dash -- 1st Grade. Michelle Eckstein

Number Line Moves Dash -- 1st Grade. Michelle Eckstein Number Line Moves Dash -- 1st Grade Michelle Eckstein Common Core Standards CCSS.MATH.CONTENT.1.NBT.C.4 Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit

More information

Learning Disability Functional Capacity Evaluation. Dear Doctor,

Learning Disability Functional Capacity Evaluation. Dear Doctor, Dear Doctor, I have been asked to formulate a vocational opinion regarding NAME s employability in light of his/her learning disability. To assist me with this evaluation I would appreciate if you can

More information

Introducing the New Iowa Assessments Mathematics Levels 12 14

Introducing the New Iowa Assessments Mathematics Levels 12 14 Introducing the New Iowa Assessments Mathematics Levels 12 14 ITP Assessment Tools Math Interim Assessments: Grades 3 8 Administered online Constructed Response Supplements Reading, Language Arts, Mathematics

More information

Edexcel GCSE. Statistics 1389 Paper 1H. June Mark Scheme. Statistics Edexcel GCSE

Edexcel GCSE. Statistics 1389 Paper 1H. June Mark Scheme. Statistics Edexcel GCSE Edexcel GCSE Statistics 1389 Paper 1H June 2007 Mark Scheme Edexcel GCSE Statistics 1389 NOTES ON MARKING PRINCIPLES 1 Types of mark M marks: method marks A marks: accuracy marks B marks: unconditional

More information

Student s Edition. Grade 6 Unit 6. Statistics. Eureka Math. Eureka Math

Student s Edition. Grade 6 Unit 6. Statistics. Eureka Math. Eureka Math Student s Edition Grade 6 Unit 6 Statistics Eureka Math Eureka Math Lesson 1 Lesson 1: Posing Statistical Questions Statistics is about using data to answer questions. In this module, the following four

More information

Introduction to the Practice of Statistics

Introduction to the Practice of Statistics Chapter 1: Looking at Data Distributions Introduction to the Practice of Statistics Sixth Edition David S. Moore George P. McCabe Bruce A. Craig Statistics is the science of collecting, organizing and

More information

About How Good is Estimation? Assessment Materials Page 1 of 12

About How Good is Estimation? Assessment Materials Page 1 of 12 About How Good is Estimation? Assessment Name: Multiple Choice. 1 point each. 1. Which unit of measure is most appropriate for the area of a small rug? a) feet b) yards c) square feet d) square yards 2.

More information

TCC Jim Bolen Math Competition Rules and Facts. Rules:

TCC Jim Bolen Math Competition Rules and Facts. Rules: TCC Jim Bolen Math Competition Rules and Facts Rules: The Jim Bolen Math Competition is composed of two one hour multiple choice pre-calculus tests. The first test is scheduled on Friday, November 8, 2013

More information

Technical Manual Supplement

Technical Manual Supplement VERSION 1.0 Technical Manual Supplement The ACT Contents Preface....................................................................... iii Introduction....................................................................

More information

Numeracy Medium term plan: Summer Term Level 2C/2B Year 2 Level 2A/3C

Numeracy Medium term plan: Summer Term Level 2C/2B Year 2 Level 2A/3C Numeracy Medium term plan: Summer Term Level 2C/2B Year 2 Level 2A/3C Using and applying mathematics objectives (Problem solving, Communicating and Reasoning) Select the maths to use in some classroom

More information

Using Calculators for Students in Grades 9-12: Geometry. Re-published with permission from American Institutes for Research

Using Calculators for Students in Grades 9-12: Geometry. Re-published with permission from American Institutes for Research Using Calculators for Students in Grades 9-12: Geometry Re-published with permission from American Institutes for Research Using Calculators for Students in Grades 9-12: Geometry By: Center for Implementing

More information

ACTL5103 Stochastic Modelling For Actuaries. Course Outline Semester 2, 2014

ACTL5103 Stochastic Modelling For Actuaries. Course Outline Semester 2, 2014 UNSW Australia Business School School of Risk and Actuarial Studies ACTL5103 Stochastic Modelling For Actuaries Course Outline Semester 2, 2014 Part A: Course-Specific Information Please consult Part B

More information

Math Grade 3 Assessment Anchors and Eligible Content

Math Grade 3 Assessment Anchors and Eligible Content Math Grade 3 Assessment Anchors and Eligible Content www.pde.state.pa.us 2007 M3.A Numbers and Operations M3.A.1 Demonstrate an understanding of numbers, ways of representing numbers, relationships among

More information

AGS THE GREAT REVIEW GAME FOR PRE-ALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS

AGS THE GREAT REVIEW GAME FOR PRE-ALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS AGS THE GREAT REVIEW GAME FOR PRE-ALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS 1 CALIFORNIA CONTENT STANDARDS: Chapter 1 ALGEBRA AND WHOLE NUMBERS Algebra and Functions 1.4 Students use algebraic

More information

TOPICS LEARNING OUTCOMES ACTIVITES ASSESSMENT Numbers and the number system

TOPICS LEARNING OUTCOMES ACTIVITES ASSESSMENT Numbers and the number system Curriculum Overview Mathematics 1 st term 5º grade - 2010 TOPICS LEARNING OUTCOMES ACTIVITES ASSESSMENT Numbers and the number system Multiplies and divides decimals by 10 or 100. Multiplies and divide

More information

Paper Reference. Edexcel GCSE Mathematics (Linear) 1380 Paper 1 (Non-Calculator) Foundation Tier. Monday 6 June 2011 Afternoon Time: 1 hour 30 minutes

Paper Reference. Edexcel GCSE Mathematics (Linear) 1380 Paper 1 (Non-Calculator) Foundation Tier. Monday 6 June 2011 Afternoon Time: 1 hour 30 minutes Centre No. Candidate No. Paper Reference 1 3 8 0 1 F Paper Reference(s) 1380/1F Edexcel GCSE Mathematics (Linear) 1380 Paper 1 (Non-Calculator) Foundation Tier Monday 6 June 2011 Afternoon Time: 1 hour

More information

University of Waterloo School of Accountancy. AFM 102: Introductory Management Accounting. Fall Term 2004: Section 4

University of Waterloo School of Accountancy. AFM 102: Introductory Management Accounting. Fall Term 2004: Section 4 University of Waterloo School of Accountancy AFM 102: Introductory Management Accounting Fall Term 2004: Section 4 Instructor: Alan Webb Office: HH 289A / BFG 2120 B (after October 1) Phone: 888-4567 ext.

More information

MTH 215: Introduction to Linear Algebra

MTH 215: Introduction to Linear Algebra MTH 215: Introduction to Linear Algebra Fall 2017 University of Rhode Island, Department of Mathematics INSTRUCTOR: Jonathan A. Chávez Casillas E-MAIL: jchavezc@uri.edu LECTURE TIMES: Tuesday and Thursday,

More information

12- A whirlwind tour of statistics

12- A whirlwind tour of statistics CyLab HT 05-436 / 05-836 / 08-534 / 08-734 / 19-534 / 19-734 Usable Privacy and Security TP :// C DU February 22, 2016 y & Secu rivac rity P le ratory bo La Lujo Bauer, Nicolas Christin, and Abby Marsh

More information

NUMBERS AND OPERATIONS

NUMBERS AND OPERATIONS SAT TIER / MODULE I: M a t h e m a t i c s NUMBERS AND OPERATIONS MODULE ONE COUNTING AND PROBABILITY Before You Begin When preparing for the SAT at this level, it is important to be aware of the big picture

More information

Mathematics (JUN14MS0401) General Certificate of Education Advanced Level Examination June Unit Statistics TOTAL.

Mathematics (JUN14MS0401) General Certificate of Education Advanced Level Examination June Unit Statistics TOTAL. Centre Number Candidate Number For Examiner s Use Surname Other Names Candidate Signature Examiner s Initials Mathematics Unit Statistics 4 Tuesday 24 June 2014 General Certificate of Education Advanced

More information

Problem of the Month: Movin n Groovin

Problem of the Month: Movin n Groovin : The Problems of the Month (POM) are used in a variety of ways to promote problem solving and to foster the first standard of mathematical practice from the Common Core State Standards: Make sense of

More information

Julia Smith. Effective Classroom Approaches to.

Julia Smith. Effective Classroom Approaches to. Julia Smith @tessmaths Effective Classroom Approaches to GCSE Maths resits julia.smith@writtle.ac.uk Agenda The context of GCSE resit in a post-16 setting An overview of the new GCSE Key features of a

More information

Asian Development Bank - International Initiative for Impact Evaluation. Video Lecture Series

Asian Development Bank - International Initiative for Impact Evaluation. Video Lecture Series Asian Development Bank - International Initiative for Impact Evaluation Video Lecture Series Impact evaluations of social protection- Project and Programmes: considering cash transfers and educational

More information

Transfer of Training

Transfer of Training Transfer of Training Objective Material : To see if Transfer of training is possible : Drawing Boar with a screen, Eight copies of a star pattern with double lines Experimenter : E and drawing pins. Subject

More information

Grades. From Your Friends at The MAILBOX

Grades. From Your Friends at The MAILBOX From Your Friends at The MAILBOX Grades 5 6 TEC916 High-Interest Math Problems to Reinforce Your Curriculum Supports NCTM standards Strengthens problem-solving and basic math skills Reinforces key problem-solving

More information

School of Innovative Technologies and Engineering

School of Innovative Technologies and Engineering School of Innovative Technologies and Engineering Department of Applied Mathematical Sciences Proficiency Course in MATLAB COURSE DOCUMENT VERSION 1.0 PCMv1.0 July 2012 University of Technology, Mauritius

More information

4.0 CAPACITY AND UTILIZATION

4.0 CAPACITY AND UTILIZATION 4.0 CAPACITY AND UTILIZATION The capacity of a school building is driven by four main factors: (1) the physical size of the instructional spaces, (2) the class size limits, (3) the schedule of uses, and

More information

Page 1 of 11. Curriculum Map: Grade 4 Math Course: Math 4 Sub-topic: General. Grade(s): None specified

Page 1 of 11. Curriculum Map: Grade 4 Math Course: Math 4 Sub-topic: General. Grade(s): None specified Curriculum Map: Grade 4 Math Course: Math 4 Sub-topic: General Grade(s): None specified Unit: Creating a Community of Mathematical Thinkers Timeline: Week 1 The purpose of the Establishing a Community

More information

Instructor: Matthew Wickes Kilgore Office: ES 310

Instructor: Matthew Wickes Kilgore Office: ES 310 MATH 1314 College Algebra Syllabus Instructor: Matthew Wickes Kilgore Office: ES 310 Longview Office: LN 205C Email: mwickes@kilgore.edu Phone: 903 988-7455 Prerequistes: Placement test score on TSI or

More information

GUIDE TO THE CUNY ASSESSMENT TESTS

GUIDE TO THE CUNY ASSESSMENT TESTS GUIDE TO THE CUNY ASSESSMENT TESTS IN MATHEMATICS Rev. 117.016110 Contents Welcome... 1 Contact Information...1 Programs Administered by the Office of Testing and Evaluation... 1 CUNY Skills Assessment:...1

More information

BUSINESS OPERATIONS RESEARCH EVENTS

BUSINESS OPERATIONS RESEARCH EVENTS BUSINESS OPERATIONS RESEARCH EVENTS BUSINESS SERVICES OPERATIONS RESEARCH BOR BUYING AND MERCHANDISING OPERATIONS RESEARCH BMOR Sponsored by Piper Jaffray FINANCE OPERATIONS RESEARCH FOR HOSPITALITY AND

More information

Build on students informal understanding of sharing and proportionality to develop initial fraction concepts.

Build on students informal understanding of sharing and proportionality to develop initial fraction concepts. Recommendation 1 Build on students informal understanding of sharing and proportionality to develop initial fraction concepts. Students come to kindergarten with a rudimentary understanding of basic fraction

More information

College Pricing and Income Inequality

College Pricing and Income Inequality College Pricing and Income Inequality Zhifeng Cai U of Minnesota, Rutgers University, and FRB Minneapolis Jonathan Heathcote FRB Minneapolis NBER Income Distribution, July 20, 2017 The views expressed

More information

Helping Your Children Learn in the Middle School Years MATH

Helping Your Children Learn in the Middle School Years MATH Helping Your Children Learn in the Middle School Years MATH Grade 7 A GUIDE TO THE MATH COMMON CORE STATE STANDARDS FOR PARENTS AND STUDENTS This brochure is a product of the Tennessee State Personnel

More information

Foothill College Summer 2016

Foothill College Summer 2016 Foothill College Summer 2016 Intermediate Algebra Math 105.04W CRN# 10135 5.0 units Instructor: Yvette Butterworth Text: None; Beoga.net material used Hours: Online Except Final Thurs, 8/4 3:30pm Phone:

More information

Montana Content Standards for Mathematics Grade 3. Montana Content Standards for Mathematical Practices and Mathematics Content Adopted November 2011

Montana Content Standards for Mathematics Grade 3. Montana Content Standards for Mathematical Practices and Mathematics Content Adopted November 2011 Montana Content Standards for Mathematics Grade 3 Montana Content Standards for Mathematical Practices and Mathematics Content Adopted November 2011 Contents Standards for Mathematical Practice: Grade

More information

MGF 1106 Final Exam Review / (sections )

MGF 1106 Final Exam Review / (sections ) MGF 1106 Final Exam Review / (sections ---------) Time of Common Final Exam: Place of Common Final Exam (Sections ----------- only): --------------- Those students with a final exam conflict (with another

More information

MINUTE TO WIN IT: NAMING THE PRESIDENTS OF THE UNITED STATES

MINUTE TO WIN IT: NAMING THE PRESIDENTS OF THE UNITED STATES MINUTE TO WIN IT: NAMING THE PRESIDENTS OF THE UNITED STATES THE PRESIDENTS OF THE UNITED STATES Project: Focus on the Presidents of the United States Objective: See how many Presidents of the United States

More information

Lesson M4. page 1 of 2

Lesson M4. page 1 of 2 Lesson M4 page 1 of 2 Miniature Gulf Coast Project Math TEKS Objectives 111.22 6b.1 (A) apply mathematics to problems arising in everyday life, society, and the workplace; 6b.1 (C) select tools, including

More information

When!Identifying!Contributors!is!Costly:!An! Experiment!on!Public!Goods!

When!Identifying!Contributors!is!Costly:!An! Experiment!on!Public!Goods! !! EVIDENCE-BASED RESEARCH ON CHARITABLE GIVING SPI$FUNDED$ When!Identifying!Contributors!is!Costly:!An! Experiment!on!Public!Goods! Anya!Samek,!Roman!M.!Sheremeta!! University!of!WisconsinFMadison! Case!Western!Reserve!University!&!Chapman!University!!

More information

Written by Wendy Osterman

Written by Wendy Osterman Pre-Algebra Written by Wendy Osterman Editor: Alaska Hults Illustrator: Corbin Hillam Designer/Production: Moonhee Pak/Cari Helstrom Cover Designer: Barbara Peterson Art Director: Tom Cochrane Project

More information

Extending Place Value with Whole Numbers to 1,000,000

Extending Place Value with Whole Numbers to 1,000,000 Grade 4 Mathematics, Quarter 1, Unit 1.1 Extending Place Value with Whole Numbers to 1,000,000 Overview Number of Instructional Days: 10 (1 day = 45 minutes) Content to Be Learned Recognize that a digit

More information

WASHINGTON Does your school know where you are? In class? On the bus? Paying for lunch in the cafeteria?

WASHINGTON Does your school know where you are? In class? On the bus? Paying for lunch in the cafeteria? (870 Lexile) Instructions: COMPLETE ALL QUESTIONS AND MARGIN NOTES using the CLOSE reading strategies practiced in class. This requires reading of the article three times. Step 1: Skim the article using

More information

An Analysis of the El Reno Area Labor Force

An Analysis of the El Reno Area Labor Force An Analysis of the El Reno Area Labor Force Summary Report for the El Reno Industrial Development Corporation and Oklahoma Department of Commerce David A. Penn and Robert C. Dauffenbach Center for Economic

More information

Introduction to Ensemble Learning Featuring Successes in the Netflix Prize Competition

Introduction to Ensemble Learning Featuring Successes in the Netflix Prize Competition Introduction to Ensemble Learning Featuring Successes in the Netflix Prize Competition Todd Holloway Two Lecture Series for B551 November 20 & 27, 2007 Indiana University Outline Introduction Bias and

More information

Probability and Game Theory Course Syllabus

Probability and Game Theory Course Syllabus Probability and Game Theory Course Syllabus DATE ACTIVITY CONCEPT Sunday Learn names; introduction to course, introduce the Battle of the Bismarck Sea as a 2-person zero-sum game. Monday Day 1 Pre-test

More information

Arizona s College and Career Ready Standards Mathematics

Arizona s College and Career Ready Standards Mathematics Arizona s College and Career Ready Mathematics Mathematical Practices Explanations and Examples First Grade ARIZONA DEPARTMENT OF EDUCATION HIGH ACADEMIC STANDARDS FOR STUDENTS State Board Approved June

More information

An Introduction to Simio for Beginners

An Introduction to Simio for Beginners An Introduction to Simio for Beginners C. Dennis Pegden, Ph.D. This white paper is intended to introduce Simio to a user new to simulation. It is intended for the manufacturing engineer, hospital quality

More information

An overview of risk-adjusted charts

An overview of risk-adjusted charts J. R. Statist. Soc. A (2004) 167, Part 3, pp. 523 539 An overview of risk-adjusted charts O. Grigg and V. Farewell Medical Research Council Biostatistics Unit, Cambridge, UK [Received February 2003. Revised

More information