2016 Excellence in Mathematics Contest Team Project Level I (Precalculus and above) School Name: Group Members:
|
|
- Lydia Campbell
- 6 years ago
- Views:
Transcription
1 016 Excellence in Mathematics Contest Team Project Level I (Precalculus and above) School Name: Group Members:
2 Reference Sheet Formulas and Facts You may need to use some of the following formulas and facts in working through this project. You may not need to use every formula or each fact. A bh C l w A r Area of a rectangle Perimeter of a rectangle Area of a circle C r 1 A bh V r dx Circumference of a circle Area of a triangle Volume b a a b c 580 feet = 1 mile V rhdx Pythagorean Theorem b a Volume b dy s 1 dx dx.54 centimeters = 1 inch a Arc Length h 4.9t v0t h0 h 16t v0t h0 1 kilogram =. pounds 1 meter = inches 1 gigabyte = 1000 megabytes 1 mile = 1609 meters 1 gallon = 3.8 liters 1 square mile = 640 acres 1 sq. yd. = 9 sq. ft 1 cu. ft. of water = 7.48 gallons 1 ml = 1 cu. cm. 4 3 V r h V Area of Base height V r 3 Volume of cylinder Volume Volume of a sphere Lateral SA = r h b b 4ac x V a ( R r ) dx Lateral surface area of cylinder Quadratic Formula Volume b a
3 TEAM PROJECT Level I 016 Excellence in Mathematics Contest The Team Project is a group activity in which the students are presented an open ended, problem situation relating to a specific theme. The team members are to solve the problems and write a narrative about the theme which answers all the mathematical questions posed. Teams are graded on accuracy of mathematical content, clarity of explanations, and creativity in their narrative. We encourage the use of a graphing calculator. Part 1: Background Sources: en.wikipedia.org/wiki/hershey%7s_kisses and candyprofessor.com The Hershey Kisses were first introduced in It is believed that the candy was named Kisses because of the sound and motion made by machine while depositing the chocolate. At first, the Hershey Kisses were wrapped by hand, but in 191, a machine was made so the Kisses would be wrapped automatically. This is also when the plume was added. In 194, Milton S. Hershey received a registered trademark for the plume. During 194, production of Hershey Kisses was briefly interrupted due to the rationing of aluminum foil. Instead, the machines were used to create chocolate paste for the soldiers in World War II. In 1976, the Kiss received a registered trademark for the foil wrapper. Kisses are one of the most popular brands of candies in the US. In 1989, the chocolate drops were the 5th most popular chocolate brand in the United States, spawning sales that topped $400 million. More than 60 million Hershey's Kisses chocolates are produced each day at the company's two factories. Today's Kisses brand chocolates use Hershey's original milk chocolate formula. Hershey s today is one of the major candy companies in the world, boasting annual sales in excess of $4 billion dollars. But around 1900, Hershey s was one among many contenders for America s top chocolate maker. The big business in chocolate at that time was not so much direct retail products, but selling various coatings and chocolate ingredients to candy makers large and small. Rivals like Stollwerck Brothers of New York and Chicago, H. O. Wilbur and Sons of Philadelphia, and Rockwood and Co. of Brooklyn were promoting their own chocolate goods, each promising purity, quality and taste unrivaled. Finished candy goods were, for many of these companies, a side line to the real action in wholesale cocoa and chocolate. Rival chocolate manufacturer H.O. Wilbur and Son had been selling a bite-sized foilwrapped conical chocolate drop called the Wilbur Bud since You wouldn t know it today, but back in the 1900s, Wilbur set the standard for those little foil-wrapped chocolates. The candy journal International Confectioner waxed rhapsodic over the beauty and hygiene of Wilbur s candy in 1914: Each piece is wrapped separately; they are packed like jewels. A large box of Wilburbuds can lie open several days before it is all eaten. Our little Wilburbuds can t go stale each is wrapped in foil. It was Hershey that was the copycat. And Hershey wasn t the only one. H.O. Wilbur even went to court in 1909 to try to stop the imitators. One of these might have been Rockwood s Chocolate Dainties, which were sold four for one cent. In their little foil wrapper, they would have been indistinguishable from Wilbur s Buds or Hershey s Kisses or any other similar chocolate. 3
4 Unwrapped, the Wilbur Bud was quite distinctive; the bottom of the candy was molded into a flower shape and the letters W-I-L-B-U-R embossed in each petal. In contrast, the Hershey s Kiss then as now isn t much to look at. It is just a plain cone, its bottom flat and unadorned. While this perhaps was less lovely to behold, it did mean the Kiss could be manufactured by dropping the chocolate on a flat belt, rather than needing special molds. This would eventually matter quite a lot, but in 1907 the Kiss s plain-jane looks would have been a distinct disadvantage. The decisive moment for the Hershey s Kiss was 191, when new manufacturing equipment allowed the foil wrapping to be automated, and also allowed for the inclusion of the plume that extends from the top of every Chocolate Kiss. By spring of 19 Hershey s was taking out full page ads blaring Insist upon having the GENUINE Sweet Milk Chocolate Hershey s KISSES. Be Sure They Contain the Identification Tag HERSHEY S. The plume was trademarked in 194, meaning that no other conical foil wrapped chocolate could use the same technique to stand out. Wilbur, and many other small American chocolate concerns, eventually fell behind Hershey in the race for market share. Milton Hershey was a generous philanthropist as well as a brilliant business man, and the success of the company in dominating the American chocolate scene is a fascinating story of doing well by doing good. Today, Hershey s Kisses are a multi-million dollar share of the American candy market. And Wilbur s Chocolate Buds? You can still buy them by mail-order, or out of a little Wilbur Chocolates storefront in Lititz, Pennsylvania. 4
5 Part The Hershey Kiss Model Imagine taking a Hershey Kiss, cutting it half, and placing this half-kiss on a coordinate grid such that the flat, wide base of the Kiss aligns with the vertical axis. Then imagine tracing the outline of the Kiss to create the shape of the outline of this Kiss with positive vertical axis values. When the area below these data points (when a curve is created to fit the data points) is revolved around the horizontal axis, a Hershey s Kiss is formed as shown below (where the grid is ¼ cm square): Drawing not to scale grid is ¼ cm square 1. Using the regression features available on a graphing device, determine a function formula for the graph that models the outline of the Hershey Kiss as shown in the image. Write a clear, mathematical argument explaining why you chose the particular function chosen to model this Hershey Kiss situation. 5
6 . Using your model in #1, set up, but do not evaluate, an integral that could be used to find the volume of your Hershey Kiss. 3. Using technology, evaluate the integral you created in #. Be sure to label your result with appropriate units. 4. Report the volume of the Hershey s Kiss in cubic centimeters of chocolate if you haven t already. 6
7 Part 3 Wrapping the Hershey s Kiss 1. Determine the minimum amount of foil needed to wrap the Hershey s Kiss. We say minimum amount here since there is clearly some overlap when wrapping chocolate. However, your task is to find the surface area (including the base) so that we have a baseline figure for the amount of foil needed to wrap each Kiss.. Suppose that the foil wrapper begins as a perfectly square piece of silver foil. What are the dimensions of this piece of foil? Express your answer rounded to the hundredths place. 7
8 . Hershey s reports that more than 60 million Hershey s Kisses are produced each day at the company s two factories. How many times (including fractional number of times) could the Washington Monument be wrapped in the foil needed to wrap one-year worth of Hershey s Kisses? 8
9 Part 4 World s Largest Hershey s Kiss According to the largest individual chocolate was a chocolate Hershey s Kiss weighing 13,85.71 kg (30,540 lbs.). The chocolate was made to celebrate Hershey's Kisses 100th anniversary and was displayed at Chocolate World, Hershey, Pennsylvania, USA, on 7 July 007. According to the density of chocolate is 135 kg/m 3 plus (+) or minus (-) 1%. Chocolate does not absorb or dissolve any substantial amount of water. Therefore, displacement method can be used to determine its volume, and with the mass available, its density can be calculated. 1. Based on your work in Part, how many regular Hershey s Kisses would it take to make the world s largest Kiss? Clearly show all the work needed to answer this question.. Suppose the function f() t represents the number of pounds of chocolate contained in the world s largest Kiss t hours after the beginning of construction. Explain what f (6) 150 means in this context. What units would be used to explain f (6) 150? 3. Continuing from # above, suppose f (6) 500 and f (6) 150. Estimate f (4.5) and explain what your result means. 9
McRuffy Press Fourth Grade Color Math Test 7
McRuffy Press Fourth Grade Color Math Test 7 Materials: Test pages (Resource pack, 3 sheets) Test Directions Page :. Problem solving: Solve the problems. 2. Fractions to decimals: Change the fractions
More informationLearning fun with.
Learning fun with #1 #4 Milton Hershey was born in 1857. How many years ago was he born? Milton Hershey opened his first candy shop in 1876. It closed six years later. What year did his candy shop close?
More informationApplications of Mathematics
Write your name here Surname Other names Pearson Edexcel GCSE Centre Number Candidate Number Applications of Mathematics Unit 1: Applications 1 For Approved Pilot Centres ONLY Higher Tier Wednesday 6 November
More informationEOC FINAL REVIEW Name Due Date
1. The line has endpoints L(-8, -2) and N(4, 2) and midpoint M. What is the equation of the line perpendicular to and passing through M? A. B. Y= C. Y= D. Y= 3x + 6 2. A rectangle has vertices at (-5,3),
More informationGeneral Certificate of Secondary Education Foundation Tier
Centre Number Candidate Number For Examiner s Use Surname Other Names Candidate Signature Pages 3 Mark General Certificate of Secondary Education Foundation Tier 4 5 6 7 Mathematics (Linear) B Paper 1
More informationKey Maths Facts to Memorise Question and Answer
Key Maths Facts to Memorise Question and Answer Ways of using this booklet: 1) Write the questions on cards with the answers on the back and test yourself. 2) Work with a friend to take turns reading a
More informationCALIFORNIA STANDARDS TEST CSM00433 CSM01958 A B C CSM02216 A 583,000
G R E Which of these is the number 5,005,0? five million, five hundred, fourteen five million, five thousand, fourteen five thousand, five hundred, fourteen five billion, five million, fourteen LIFORNI
More informationUnit 7, Lesson 1: Exponent Review
Unit 7, Lesson 1: Exponent Review 1. Write each expression using an exponent: a. b. c. d. The number of coins Jada will have on the eighth day, if Jada starts with one coin and the number of coins doubles
More informationMobile Math Teachers Circle The Return of the iclicker
Mobile Math Teachers Circle The Return of the iclicker June 20, 2016 1. Dr. Spock asked his class to solve a percent problem, Julia set up the proportion: 4/5 = x/100. She then cross-multiplied to solve
More informationHow can you determine the amount of cardboard used to make a cereal box? List at least two different methods.
Activity Start Thinking! For use before Activity How can you determine the amount of cardboard used to make a cereal box? List at least two different methods. Activity Warm Up For use before Activity Evaluate
More informationamount base = percent 30% of the class 90% of the points 65% of the televisions
Free Pre-Algebra Lesson 41! page 1 Lesson 41 Solving Percent Equations A percent is really a ratio, usually of part to whole. In percent problems, the numerator of the ratio (the part) is called the, and
More informationUnit Four Answer Keys
Multiplication, Division & Fractions Unit Four Unit Four Answer Keys Session Blacklines A.., Unit Four Pre-Assessment Responses will vary. example example a b Sketches will vary. Example: a, Sketches will
More informationGrade 5 Mathematics Mid-Year Assessment REVIEW
Grade 5 Mathematics Mid-Year Assessment REVIEW The learning targets (Texas Essential Knowledge and Skill statements) are listed prior to sample items. The sample items are not an exhaustive list and only
More informationISTEP+ Spring 2009 Indiana Statewide Testing for Educational Progress Plus
ISTEP+ Spring 2009 Indiana Statewide Testing for Educational Progress Plus Mathematics English/Language Arts Social Studies Grade 7 Web Version Use only a Number 2 pencil to respond to the questions in
More information8.3. Start Thinking! Warm Up. Find the area of the triangle Activity. Activity. 4 m. 14 in. 7 m. 9 in. 12 yd. 11 yd. 1 mm. 5.
Activity Start Thinking! For use before Activity You know how to find the area of squares, rectangles, triangles, trapezoids, and parallelograms. Describe three different methods you could use to estimate
More informationTHANK YOU FOR YOUR PURCHASE!
THANK YOU FOR YOUR PURCHASE! The resources included in this purchase were designed and created by me. I hope that you find this resource helpful in your classroom. Please feel free to contact me with any
More informationTEST NAME:Decimal Review TEST ID: GRADE:05 Fifth Grade SUBJECT: Mathematics TEST CATEGORY: My Classroom
TEST NAME:Decimal Review TEST ID:1123506 GRADE:05 Fifth Grade SUBJECT: Mathematics TEST CATEGORY: My Classroom Decimal Review Page 1 of 17 Student: Class: Date: 1. Which number line model represents the
More informationComparing Areas of Rectangles
Activity Overview In this activity, students discover the relationship between a change in the dimensions of a rectangle and the change in the corresponding area. Topic: Problem Solving Understand measurable
More informationFINAL REVIEW m rounded to the nearest centimeter is _. Choose the correct answer, and write its number in the parentheses.
FINAL REVIEW Choose the correct answer, and write its number in the parentheses. 1. What is the value of the digit 4 in 135.847? (1) 4 tenths (3) 4 hundredths 4 tens (4) 4 hundreds 2. What is the value
More informationCorrelation to the Common Core State Standards
Correlation to the Common Core State Standards Go Math! 2011 Grade 4 Common Core is a trademark of the National Governors Association Center for Best Practices and the Council of Chief State School Officers.
More informationDistribution of Data and the Empirical Rule
302360_File_B.qxd 7/7/03 7:18 AM Page 1 Distribution of Data and the Empirical Rule 1 Distribution of Data and the Empirical Rule Stem-and-Leaf Diagrams Frequency Distributions and Histograms Normal Distributions
More informationModule 1. Ratios and Proportional Relationships Lessons 11 14
Math 7 Module Lessons.notebook September, 05 Module Ratios and Proportional Relationships Lessons Lesson # September, 05 You need: pencil, calculator and binder. Do Now: Find your group and complete do
More informationPGDBA 2017 INSTRUCTIONS FOR WRITTEN TEST
INSTRUCTIONS FOR WRITTEN TEST 1. The duration of the test is 3 hours. The test will have a total of 50 questions carrying 150 marks. Each of these questions will be Multiple-Choice Question (MCQ). A question
More informationAlgebra I Module 2 Lessons 1 19
Eureka Math 2015 2016 Algebra I Module 2 Lessons 1 19 Eureka Math, Published by the non-profit Great Minds. Copyright 2015 Great Minds. No part of this work may be reproduced, distributed, modified, sold,
More informationN12/5/MATSD/SP2/ENG/TZ0/XX. mathematical STUDIES. Wednesday 7 November 2012 (morning) 1 hour 30 minutes. instructions to candidates
88127402 mathematical STUDIES STANDARD level Paper 2 Wednesday 7 November 2012 (morning) 1 hour 30 minutes instructions to candidates Do not open this examination paper until instructed to do so. A graphic
More informationGuide to the Whitman's Chocolates Collection of Print Advertisements
Guide to the Whitman's Chocolates Collection of Print Advertisements Stacey Coates 1991 Archives Center, National Museum of American History P.O. Box 37012 Suite 1100, MRC 601 Washington, D.C. 20013-7012
More information7 th Grade 20 Day Homework Day 1
7 th Grade 20 Day Homework Day 1 1) Two hundred and twenty people applied to work at Ernest Educational Concepts. After Ms. Ernest reviewed their applications, one-fourth of the people could not pass the
More informationTwin City Fan & Blower
Twin City Fan & Blower BULLETIN 315 August 2000 SERIES 2000 DWDI BACKWARD INCLINED FANS TYPE BAB Series 2000 BAB DWDI Backward Inclined Fans This bulletin features our new BAB Series 2000 DWDI (double
More informationRatios, Rates & Proportions Chapter Questions
Ratios, Rates & Proportions Chapter Questions 1. How are ratios simplified? 2. How are equivalent ratios written? 3. How are unit rates determined? 4. How can equivalent rates help to solve problems? 5.
More informationDraft last edited May 13, 2013 by Belinda Robertson
Draft last edited May 13, 2013 by Belinda Robertson 97 98 Appendix A: Prolem Handouts Problem Title Location or Page number 1 CCA Interpreting Algebraic Expressions Map.mathshell.org high school concept
More informationAstronomy Lab - Lab Notebook and Scaling
Astronomy Lab - Lab Notebook and Scaling In this lab, we will first set up your lab notebook and then practice scaling. Please read this so you know what we will be doing. BEFORE YOU COME TO THIS LAB:
More informationTalking REAL Maths. A resource to engage children in discussion based on common errors and misconceptions in mathematics.
Talking REAL Maths A resource to engage children in discussion based on common errors and misconceptions in mathematics. ALGEBRA Discussion mat Suggested year group/ks APP link Simple Sequence Lower KS2
More informationTime available for students to complete test: 40 minutes
national assessment program literacy and numeracy NUMERACY NOn-CALCULATOR year 7 2008 0:0 SESSION Time available for students to complete test: 0 minutes Use 2B or HB pencil only Curriculum Corporation,
More informationFunctional Mathematics
Surname Other names Functional Mathematics Level 2 Practice Paper For this paper you must have: a calculator mathematical instruments. Time allowed 1 hour 30 minutes Instructions Use black ink or black
More informationSection 2.1 How Do We Measure Speed?
Section.1 How Do We Measure Speed? 1. (a) Given to the right is the graph of the position of a runner as a function of time. Use the graph to complete each of the following. d (feet) 40 30 0 10 Time Interval
More informationUnit 7, Lesson 1: Exponent Review
Unit 7, Lesson 1: Exponent Review Let s review exponents. 1.1: Which One Doesn t Belong: Twos Which expression does not belong? Be prepared to share your reasoning. 8 1.2: Return of the Genie m.openup.org/1/8-7-1-2
More informationNorth Carolina Standard Course of Study - Mathematics
A Correlation of To the North Carolina Standard Course of Study - Mathematics Grade 4 A Correlation of, Grade 4 Units Unit 1 - Arrays, Factors, and Multiplicative Comparison Unit 2 - Generating and Representing
More informationDelta College Middle School Math Competition Practice Test A 2018
Delta College Middle School Math Competition Practice Test A 208 ) In the Noveo music group there are 4 times as many flutes as there are bassoons. The number of clarinets is 8 more than triple the number
More informationAskDrCallahan Calculus 1 Teacher s Guide
AskDrCallahan Calculus 1 Teacher s Guide 3rd Edition rev 080108 Dale Callahan, Ph.D., P.E. Lea Callahan, MSEE, P.E. Copyright 2008, AskDrCallahan, LLC v3-r080108 www.askdrcallahan.com 2 Welcome to AskDrCallahan
More information6-5 Solving Proportions
Solve each proportion. 24 12.6 34 esolutions Manual - Powered by Cognero Page 1 2.4 29 55 esolutions Manual - Powered by Cognero Page 2 TELEVISION Aspect ratio is the ratio of width to height of a television
More informationHomework Week 1 Grade 5. Name
Homework Week 1 Grade 5 Name Week 1 Day 1 5 yards = feet 1) Draw an array to represent 3 2. 2) Point C is the center of the circle. What is the diameter of the circle? 20 in. C 1) 2) 3) 3) When you find
More informationHistograms and Frequency Polygons are statistical graphs used to illustrate frequency distributions.
Number of Families II. Statistical Graphs section 3.2 Histograms and Frequency Polygons are statistical graphs used to illustrate frequency distributions. Example: Construct a histogram for the frequency
More informationMath Conversation Starters
Math Conversation Starters How do you define? (You can fill this with anything) When do you use it in real life? I am thinking of a number that is less than 100. It s a square number. The sum of the digits
More informationThe Dancer. Workmate. Does the text tell you: Yes No
The Dancer Does the text tell you: Yes No what country Petit comes from? h h how many times Petit visited the WTC towers? h h how Petit got hold of the blueprints? h h what date he danced between the WTC
More informationQ1. In a division sum, the divisor is 4 times the quotient and twice the remainder. If and are respectively the divisor and the dividend, then (a)
Q1. In a division sum, the divisor is 4 times the quotient and twice the remainder. If and are respectively the divisor and the dividend, then (a) 3 (c) a 1 4b (b) 2 (d) Q2. If is divisible by 11, then
More informationPHY221 Lab 1 Discovering Motion: Introduction to Logger Pro and the Motion Detector; Motion with Constant Velocity
PHY221 Lab 1 Discovering Motion: Introduction to Logger Pro and the Motion Detector; Motion with Constant Velocity Print Your Name Print Your Partners' Names Instructions August 31, 2016 Before lab, read
More informationBite Size Brownies. Designed by: Jonathan Thompson George Mason University, COMPLETE Math
Bite Size Brownies Designed by: Jonathan Thompson George Mason University, COMPLETE Math The Task Mr. Brown E. Pan recently opened a new business making brownies called The Brown E. Pan. On his first day
More information(8 Weeks = 40 School Days) GRADE 9. Mathematics. Weighted Benchmark Item Bank STUDENT COPY
(8 Weeks = 40 School Days) GRADE 9 Mathematics Weighted Benchmark Item Bank STUDENT COPY Regional Center II Ms. Enid Weisman, Regional Superintendent Miami-Dade County Public Schools FCAT Countdown Review
More informationWhat is Statistics? 13.1 What is Statistics? Statistics
13.1 What is Statistics? What is Statistics? The collection of all outcomes, responses, measurements, or counts that are of interest. A portion or subset of the population. Statistics Is the science of
More information3. What would you decide is a reasonable lower limit for the number of skittles in the container?
Sec 1.1 -Analyzing Numerical Data Fermi Problems: Estimating Large Numbers Name: Enrico Fermi (1901 1954) was an Italian physicist that worked in the United States. He was known for his contributions in
More informationCARLITE grain orien TEd ELECTRICAL STEELS
CARLITE grain ORIENTED ELECTRICAL STEELS M-3 M-4 M-5 M-6 Product d ata Bulletin Applications Potential AK Steel Oriented Electrical Steels are used most effectively in transformer cores having wound or
More informationCalculated Percentage = Number of color specific M&M s x 100% Total Number of M&M s (from the same row)
Name: Date: Period: The M&M (not the rapper) Lab Who would have guessed that the idea for M&M s Plain Chocolate Candies was hatched against the backdrop of the Spanish Civil War? Legend has it that, while
More informationMA 15910, Lesson 5, Algebra part of text, Sections 2.3, 2.4, and 7.5 Solving Applied Problems
MA 15910, Lesson 5, Algebra part of text, Sections 2.3, 2.4, and 7.5 Solving Applied Problems Steps for solving an applied problem 1. Read the problem; carefully noting the information given and the questions
More informationMATH 214 (NOTES) Math 214 Al Nosedal. Department of Mathematics Indiana University of Pennsylvania. MATH 214 (NOTES) p. 1/3
MATH 214 (NOTES) Math 214 Al Nosedal Department of Mathematics Indiana University of Pennsylvania MATH 214 (NOTES) p. 1/3 CHAPTER 1 DATA AND STATISTICS MATH 214 (NOTES) p. 2/3 Definitions. Statistics is
More informationEast Central North America Regional Contest Practice Session October 28
East Central North America Regional Contest 2016 ECNA 2016 Practice Session October 28 Problems A Dinoscan B Happy Trails C Prime Driving Conditions D Time is of the Essence Do not open before the contest
More informationCourse 1 Unit 4 Practice
Course 1 Unit 4 Practice Lesson 17-1 1. Use ratios to compare the shapes shown. a. black shapes to all shapes 4. Reason quantitatively. The number of ducks to geese in Miller s Pond last year was 2:3.
More information[ 4TH GRADE MATH HOMEWORK] 5) Anibal used the model below to help find the sum of +. Does Anibal s model make sense? Explain your reasoning.
Week 4: Thursday 1) 7,643 x 8 = 2) + = 3) 6,523 6 = 4) 8,300 5,678 = 5) While working on a group project for homework three girls snacked on chocolate bars. Each girl had a chocolate bar of the same size.
More informationMAT Practice (solutions) 1. Find an algebraic formula for a linear function that passes through the points ( 3, 7) and (6, 1).
MAT 110 - Practice (solutions) 1. Find an algebraic formula for a linear function that passes through the points ( 3, 7) and (6, 1). Answer: y = 2 3 + 5 2. Let f(x) = 8x 120 (a) What is the y intercept
More informationEZRA STEVENS: My father, after that flood, died. That was in He started--
Transcript of Interview with Ezra Stevens - Part One MALE ANNOUNCER: Welcome to Mansfield University Voices, an Oral History. The following interview is with Mr. Ezra Stevens. Mr. Stevens talks about the
More information(1) + 1(0.1) + 7(0.001)
Name: Quarterly 1 Study Guide The first quarterly test covers information from Modules 1, 2, and 3. If you complete this study guide and turn it in on Tuesday, you will receive 5 bonus points on your Quarterly
More informationFrequencies. Chapter 2. Descriptive statistics and charts
An analyst usually does not concentrate on each individual data values but would like to have a whole picture of how the variables distributed. In this chapter, we will introduce some tools to tabulate
More informationOverview. Teacher s Manual and reproductions of student worksheets to support the following lesson objective:
Overview Lesson Plan #1 Title: Ace it! Lesson Nine Attached Supporting Documents for Plan #1: Teacher s Manual and reproductions of student worksheets to support the following lesson objective: Find products
More informationGRADE. Nevada DEPARTMENT OF EDUCATION. Instructional Materials. Nevada TEST. Grade 7 MATHEMATICS. Copyright 2013 by the Nevada Department of Education
Nevada DEPARTMENT OF EDUCATION GRADE 7 Instructional Materials for the CRITERION REFERENCED TEST Nevada Grade 7 MATHEMATICS Copyright 2013 by the Nevada Department of Education 1 Jeff sold one case of
More informationBPS 7th Grade Pre-Algebra Revised summer 2014 Year at a Glance Unit Standards Practices Days
BPS 7th Grade Pre-Algebra Revised summer 2014 Year at a Glance Unit Standards Practices Days 1 All Operations with Integers 7.NS.1, 7.NS.2, 7.NS.3 1,4,6,8 7 2 All Operations with Rational Numbers 7.NS.1c,
More informationUses of Fractions. Fractions
Uses of The numbers,,,, and are all fractions. A fraction is written with two whole numbers that are separated by a fraction bar. The top number is called the numerator. The bottom number is called the
More informationEVAPORATIVE COOLER. ...Simple Effective Inexpensive to operate Economical. MODEL EC2.5 EC to CFM Nominal Airflow
...Simple Effective Inexpensive to operate Economical The Saudi Factory for Air Conditioning Units No air cooled condenser needed No chiller or cooling tower needed No major control center No refrigerant
More information6th Grade Advanced Topic II Assessment
1. The table shows the number of sport cards of each kind in Monique s collection. Monique s Sport Card Collection Kind of Card Baseball Basketball Football Hockey Total Number of Cards 36 28 20 16 100
More informationTable of Contents. Introduction...v. About the CD-ROM...vi. Standards Correlations... vii. Ratios and Proportional Relationships...
Table of Contents Introduction...v About the CD-ROM...vi Standards Correlations... vii Ratios and Proportional Relationships... 1 The Number System... 10 Expressions and Equations... 23 Geometry... 27
More informationRelationships Between Quantitative Variables
Chapter 5 Relationships Between Quantitative Variables Three Tools we will use Scatterplot, a two-dimensional graph of data values Correlation, a statistic that measures the strength and direction of a
More informationBUREAU OF ENERGY EFFICIENCY
Date: 26 th May, 2016 Schedule No.: 11 Color Televisions 1. Scope This schedule specifies the energy labeling requirements for color televisions with native resolution upto 1920 X 1080 pixels, of CRT,
More informationB291B. MATHEMATICS B (MEI) Paper 1 Section B (Foundation Tier) GENERAL CERTIFICATE OF SECONDARY EDUCATION. Friday 9 January 2009 Morning
F GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS B (MEI) Paper 1 Section B (Foundation Tier) B291B *CUP/T62437* Candidates answer on the question paper OCR Supplied Materials: None Other Materials
More informationStudent Name: Parent Signature:
Entering 5 th Grade Summer Packet Student Name: Parent Signature: Dear Parents, This packet is intended to help students stay strong in the academic material we have covered this year. It is an optional
More informationWIRE AND CABLE FIRE TESTS
TEST CSA C22.2 No 2556-13 Section 9.4 (FV-2/VW-1) (Small Scale Vertical) # OF VALUES REPORTED FOOTAGE REQUIRED 3 3 pieces: 24 each 5 7 days PERFORMANCE TIME CSA-FT1 (Small Scale Vertical) 3 5 pieces: 24
More informationE X P E R I M E N T 1
E X P E R I M E N T 1 Getting to Know Data Studio Produced by the Physics Staff at Collin College Copyright Collin College Physics Department. All Rights Reserved. University Physics, Exp 1: Getting to
More informationTeeJay Publishers. Curriculum for Excellence. Course Planner - Level 1
TeeJay Publishers Curriculum for Excellence Course Planner Level 1 To help schools develop their courses, TeeJay Publishers has produced a Course Planner for CfE Level 1. This Planner from TeeJay provides
More informationSetting Up the Warp System File: Warp Theater Set-up.doc 25 MAY 04
Setting Up the Warp System File: Warp Theater Set-up.doc 25 MAY 04 Initial Assumptions: Theater geometry has been calculated and the screens have been marked with fiducial points that represent the limits
More informationSEVENTH GRADE. Revised June Billings Public Schools Correlation and Pacing Guide Math - McDougal Littell Middle School Math 2004
SEVENTH GRADE June 2010 Billings Public Schools Correlation and Guide Math - McDougal Littell Middle School Math 2004 (Chapter Order: 1, 6, 2, 4, 5, 13, 3, 7, 8, 9, 10, 11, 12 Chapter 1 Number Sense, Patterns,
More informationGCSE Mathematics Practice Tests: Set 1
GCSE Mathematics Practice Tests: Set 1 Paper 2F (Calculator) Time: 1 hour 30 minutes You should have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser,
More informationNotes Unit 8: Dot Plots and Histograms
Notes Unit : Dot Plots and Histograms I. Dot Plots A. Definition A data display in which each data item is shown as a dot above a number line In a dot plot a cluster shows where a group of data points
More informationTEACHER GUIDE INCLUDES. Tier 1 Tier 2 Tier 3 Correlations. Diagnostic Interviews for Every Common Core Cluster
TEACHER GUIDE FOR THE COMMON CORE STATE STANDARDS FOR MATHEMATICS 3 2 INCLUDES Tier Tier 2 Tier 3 Correlations Diagnostic Interviews for Every Common Core Cluster Tier Lessons, Tier 2 Prerequisite Skills,
More informationCreating Color Combos
THE 2016 ROSENTHAL PRIZE for Innovation in Math Teaching Creating Color Combos Visual Modeling of Equivalent Ratios Traci Jackson Lesson Plan Grades 5-6 Table of Contents Creating Color Combos: Visual
More informationRelationships. Between Quantitative Variables. Chapter 5. Copyright 2006 Brooks/Cole, a division of Thomson Learning, Inc.
Relationships Chapter 5 Between Quantitative Variables Copyright 2006 Brooks/Cole, a division of Thomson Learning, Inc. Three Tools we will use Scatterplot, a two-dimensional graph of data values Correlation,
More informationFlorida Teacher Certification Examinations Test Information Guide for General Knowledge Test
Florida Teacher Certification Examinations Test Information Guide for General Knowledge Test FLORIDA DEPARTMENT OF EDUCATION www.fldoe.org Third Edition Sample Questions The following questions represent
More informationHow to minimize cinema xenon TCO through optimum lamp selection and operation. F. de Poorter/T. Hardenburger Philips Lighting January 24, 2012
How to minimize cinema xenon TCO through optimum lamp selection and operation F. de Poorter/T. Hardenburger Philips Lighting January 24, 2012 Royal Philips Electronics Founded in 1891 Headquartered in
More informationMITOCW big_picture_integrals_512kb-mp4
MITOCW big_picture_integrals_512kb-mp4 PROFESSOR: Hi. Well, if you're ready, this will be the other big side of calculus. We still have two functions, as before. Let me call them the height and the slope:
More informationMore About Regression
Regression Line for the Sample Chapter 14 More About Regression is spoken as y-hat, and it is also referred to either as predicted y or estimated y. b 0 is the intercept of the straight line. The intercept
More informationPreview Library Built Test (Printable Worksheet)
Page 1 of 10 Copyright 2015 Edmentum - All rights reserved. Ratio and Proportion 1. An item is priced at $13.56. If the sales tax is 5%, what does the item cost including sales tax? $0.68 $20.34 $14.24
More informationThe One Penny Whiteboard
The One Penny Whiteboard Ongoing, in the moment assessments may be the most powerful tool teachers have for improving student performance. For students to get better at anything, they need lots of quick
More informationUnit 4 Proportional Reasoning: Ratio, Rate, and Proportion
Unit 4 Proportional Reasoning: Ratio, Rate, and Proportion Lesson Outline BIG PICTURE Students will: solve problems involving proportional reasoning. Grade 9 Applied Math Learning Goals Investigate ratio
More informationMITOCW ocw f08-lec19_300k
MITOCW ocw-18-085-f08-lec19_300k The following content is provided under a Creative Commons license. Your support will help MIT OpenCourseWare continue to offer high quality educational resources for free.
More informationAcknowledgements. Number Power 3: Algebra by Robert Mitchell Pages: 6,12,14,16,24,27 and 28.
Academic Refresher This packet may be used as a brush-up in preparation for basic academic testing. It contains samples of math problems and English usage rules. It is designed as a quick review for persons
More informationYear Group 6. Maths. Comprehension. Teacher s Guide
LR MATHS SET 4 GUIDE ORANGE AW_Layout 1 05/09/2013 10:19 Page 1 Year Group 6 LSP 0164-UK Ages 10 + Maths Comprehension CARDS Teacher s Guide Includes Table of Contents, Answer Key, Record Tracking Sheet
More informationMITOCW max_min_second_der_512kb-mp4
MITOCW max_min_second_der_512kb-mp4 PROFESSOR: Hi. Well, I hope you're ready for second derivatives. We don't go higher than that in many problems, but the second derivative is an important-- the derivative
More informationSummer School: 5 th Grade Math Common Core Activities. Name:
Summer School: 5 th Grade Math Common Core Activities Name: 2- DIGIT SUBTRACTION 3- DIGIT SUBTRACTION 2- DIGIT ADDITION 3- DIGIT ADDITION 4- DIGIT ADDITION PLACE VALUE 5,788-7,342-71,975-5,863-450,555-32,534-12,364-23,954-24,889-5,788-5,360-71,475-850,555-932,534-88,342-283,954-172,364-183,924
More informationCharacterization and improvement of unpatterned wafer defect review on SEMs
Characterization and improvement of unpatterned wafer defect review on SEMs Alan S. Parkes *, Zane Marek ** JEOL USA, Inc. 11 Dearborn Road, Peabody, MA 01960 ABSTRACT Defect Scatter Analysis (DSA) provides
More informationPlease fax your students rhythms from p.7 to us AT LEAST THREE DAYS BEFORE the video conference. Our fax number is
Class Materials 1 Dear Educator, Thank you for choosing the. Inside this packet, you will find all of the materials your class will need for your upcoming Math and Music video conference. There are lessons
More informationMath Final Exam Practice Test December 2, 2013
Math 1050-003 Final Exam Practice Test December 2, 2013 Note that this Practice Test is longer than the Final Exam will be. This way you have extra problems to help you practice, so don t let the length
More informationAnswers. Chapter 9 A Puzzle Time MUSSELS. 9.1 Practice A. Technology Connection. 9.1 Start Thinking! 9.1 Warm Up. 9.1 Start Thinking!
. Puzzle Time MUSSELS Technolog Connection.. 7.... in. Chapter 9 9. Start Thinking! For use before Activit 9. Number of shoes x Person 9. Warm Up For use before Activit 9.. 9. Start Thinking! For use before
More informationVisual Identification Manual
Visual Identification Manual Basic Design October 1, 2014 Publicity Group, General Affairs Department, Daikin Industries, Ltd. 1 Global Rules Applying to the Basic Design Elements The four basic design
More informationExperiment 9A: Magnetism/The Oscilloscope
Experiment 9A: Magnetism/The Oscilloscope (This lab s "write up" is integrated into the answer sheet. You don't need to attach a separate one.) Part I: Magnetism and Coils A. Obtain a neodymium magnet
More information