Sky Boys: How They Built the Empire State Building



Similar documents
BPS Math Year at a Glance (Adapted from A Story Of Units Curriculum Maps in Mathematics K-5) 1

Fourth Grade Math Standards and "I Can Statements"

COMMON CORE STATE STANDARDS FOR MATHEMATICS 3-5 DOMAIN PROGRESSIONS

4 Mathematics Curriculum

How to Make an Apple Pie and See the World

Converting Units of Measure Measurement

Voyager Sopris Learning Vmath, Levels C-I, correlated to the South Carolina College- and Career-Ready Standards for Mathematics, Grades 2-8

Lesson 4: Your Budget Plan

Measurement. Customary Units of Measure

One Hen: How One Small Loan Made a Big Difference

Objective To introduce a formula to calculate the area. Family Letters. Assessment Management

Arizona s College and Career Ready Standards Mathematics

Students are able to represent and solve problems involving multiplication and division.

MAFS: Mathematics Standards GRADE: K

r the COR Common Core State Standards Learning Pathways

Ratios (pages )

Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.

MEASUREMENT. Historical records indicate that the first units of length were based on people s hands, feet and arms. The measurements were:

Lesson 4: Convert Fractions, Review Order of Operations

REVIEW SHEETS INTRODUCTORY PHYSICAL SCIENCE MATH 52

Autumn - 12 Weeks. Spring 11 Weeks. Summer 12 Weeks. Not As We Know It Limited 2014

Quarter One: August-October

GRADE SIX-CONTENT STANDARD #4 EXTENDED LESSON A Permission Granted. Making a Scale Drawing A.25

Middle Value (Median) of a Set of Data

Imperial Length Measurements

Charlesworth School Year Group Maths Targets

Lesson 5: Savvy Savers

Rational Number Project

OPEN LESSON SAMPLE LESSONS FOR THE CLASSROOM FROM LAYING THE FOUNDATION

LESSON 7 Don t Be A Square by Michael Torres

2002 Worcester Public Schools (WPS) Benchmarks for Grade SC.TE.05 Develop a knowledge and understanding of the metric measurement system.

Welcome to Basic Math Skills!

I. Title of Lesson: Learning from Artifacts and What Artifacts Tell Us

Unit: Understanding Science and Engineering Through Solar Power Lesson 5 Making Observations and Recording Data for Solar Powered Water Pumping

Numeracy Targets. I can count at least 20 objects

Mathematics as Reasoning Students will use reasoning skills to determine the best method for maximizing area.

Chapter 1 Lecture Notes: Science and Measurements

Volume of Right Prisms Objective To provide experiences with using a formula for the volume of right prisms.

Open-Ended Problem-Solving Projections

Healthcare Math: Converting Measurements & Calculating Dosage per Body Weight

Ratios and Proportional Relationships Set 1: Ratio, Proportion, and Scale... 1 Set 2: Proportional Relationships... 8

Problem of the Month: Once Upon a Time

PUBLIC SCHOOLS OF EDISON TOWNSHIP DIVISION OF CURRICULUM AND INSTRUCTION ELEMENTARY MATH GRADE 2 MATH IN FOCUS

VOLUME of Rectangular Prisms Volume is the measure of occupied by a solid region.

Explore architectural design and act as architects to create a floor plan of a redesigned classroom.

Addition of Multidigit Numbers

MATH Student Book. 5th Grade Unit 7

Overview. Essential Questions. Grade 4 Mathematics, Quarter 4, Unit 4.1 Dividing Whole Numbers With Remainders

Interpreting Graphs. Interpreting a Bar Graph

CCSS Mathematics Implementation Guide Grade First Nine Weeks

Mathematical Practices


Understanding Ratios Grade Five

AP Physics 1 Summer Assignment

Graphic Organizers SAMPLES

Measurement: Converting Distances

1 ST GRADE COMMON CORE STANDARDS FOR SAXON MATH

Units of Measurement: A. The Imperial System

Grade 7 Mathematics. Unit 5. Operations with Fractions. Estimated Time: 24 Hours

FEDERAL RESERVE BANKS OF ST. LOUIS AND PHILADELPHIA

EVALUAT ING ACADEMIC READINESS FOR APPRENTICESHIP TRAINING Revised for ACCESS TO APPRENTICESHIP

STRAND: Number and Operations Algebra Geometry Measurement Data Analysis and Probability STANDARD:

Student Outcomes. Lesson Notes. Classwork. Exercises 1 3 (4 minutes)

Lesson 21. Circles. Objectives

The Distributive Property

Such As Statements, Kindergarten Grade 8

Counting Money and Making Change Grade Two

Scope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B

Bunny Money. Lesson Author. Standards and Benchmarks (see page 15) Lesson Description. Grade Level. Concepts. Objectives

All I Ever Wanted to Know About Circles

Metric Mania Conversion Practice. Basic Unit. Overhead Copy. Kilo units. Hecto units. Deka - 10 units. Deci - 0.

Erin A. Yetter, Ph.D., Federal Reserve Bank of St. Louis Louisville Branch

Force and Motion: Ramp It Up

Lesson 7: Creditors Criteria and Borrowers Rights and Responsibilities

DRAFT. New York State Testing Program Grade 7 Common Core Mathematics Test. Released Questions with Annotations

NEW MEXICO Grade 6 MATHEMATICS STANDARDS

ACTIVITY: Finding a Formula Experimentally. Work with a partner. Use a paper cup that is shaped like a cone.

Grade 4 Unit 3: Multiplication and Division; Number Sentences and Algebra

MCA Formula Review Packet

Title ID Number Sequence and Duration Age Level Essential Question Learning Objectives. Lead In

Lesson/Unit Plan Name: Number Lines, Fractions, and Bar Models

Measuring with a Ruler

DesCartes (Combined) Subject: Mathematics 2-5 Goal: Data Analysis, Statistics, and Probability

$ What is the monthly interest rate on the account? (Round to the nearest hundredth of a percent.) 4 = x 12. 7)

From the Webisode: Math Meets Fashion

DesCartes (Combined) Subject: Mathematics Goal: Data Analysis, Statistics, and Probability

Multiplying Fractions by Whole Numbers

Lesson Plan -- Integers, Opposites, Absolute Value

Math Journal HMH Mega Math. itools Number

Area of Parallelograms, Triangles, and Trapezoids (pages )

Intermediate Phase New Day-by-Day Planning Pack MATHEMATICS

Comparing and Ordering Fractions

Georgia Standards of Excellence Curriculum Frameworks. Mathematics. GSE Fourth Grade Unit 7: Measurement

CALCULATIONS. Understand the operation of addition and the related vocabulary, and recognise that addition can be done in any order

Progressing toward the standard

Minnesota Academic Standards

Unit Conversions. Ben Logan Feb 10, 2005

Reading Standards for Literature

Cylinder Volume Lesson Plan

Transcription:

FEDERAL RESERVE BANKS OF ST. LOUIS AND PHILADELPHIA ECONOMIC EDUCATION Sky Boys: How They Built the Empire State Building By Deborah Hopkinson / ISBN: 978-0-375-86541-1 Lesson Author Erin A. Yetter, Federal Reserve Bank of St. Louis Louisville Branch Standards and Benchmarks (see page 12) Lesson Description In this lesson, students learn about human resources, productivity, human capital, and physical capital. They participate in three rounds of a reasoning activity. From round to round they receive training and tools to help them improve their reasoning ability and thus increase their productivity. Students will then listen to a story about how the Empire State Building was built and identify examples of key concepts mentioned or shown in the book. Grade Level 3-5 Concepts Human capital Human resources Physical capital Productivity Objectives Students will define human capital, human resources, physical capital (capital resources), and productivity; identify examples of human resources, human capital, and physical capital; and analyze the relationship between human capital and physical capital and productivity. for educational purposes, provided the user credits the Federal Reserve Bank of St. Louis, www.stlouisfed.org/education_resources. 1

Time Required Approximately 60 minutes (not including the Extension) Materials by Deborah Hopkinson (ISBN 978-0-375-86541-1) Visuals 1 and 2 Handouts 1 and 2, one copy for each student Handouts 1 and 2 Answer Keys for the teacher At least one calculator per group of four students Pen or pencil and scrap paper for each student Procedure 1. To introduce the lesson, display Visual 1: Empire State Building (ESB) (or, if you have classroom Internet access, go to the ESB website: http://www.esbnyc.com/). Ask the students to tell you what they know about the building pictured. 2. Tell the students they are going to play a game that involves the ESB. Tell them it is located in New York City, was completed in 1931, and up until 1972 was the tallest building in the world! Now it is the 22nd-tallest building in the world and the fourthtallest in the United States. (Note: This information is accurate as of 6/26/2013. As more buildings are built, this information could change. Check the following website for up-to-date information: http://en.wikipedia.org/wiki/empire_state_building.) 3. Organize students into groups of four. 4. Display Visual 2: Problem. Ask the students to estimate how many quarters, stacked in a single column, it would take to reach the top of the ESB. Tell them they may not use anything to calculate an answer except a piece of paper, a pencil or pen, and their human resources. Explain that human resources are the quantity and quality of human effort directed toward producing goods and services. The human resources in this exercise are the four students in each group. Give the groups 3 minutes to calculate an answer. 5. Record the answers on the board by group, for example, as follows: Round 1 Group 1 10,000 Group 2 33,400 for educational purposes, provided the user credits the Federal Reserve Bank of St. Louis, www.stlouisfed.org/education_resources. 2

Call on one member from each group to explain the reasoning behind their group s answer. (Students will likely describe a method they devised for estimating.) 6. Now tell the students they are going to complete this exercise again, but this time you will provide them with information to aid them in their calculations. Explain the following: When you give them information to help them solve the problem, they are learning and therefore improving their human capital. Human capital is the knowledge and skills people obtain through education, experience, and training. In Round 2, their human capital will improve in two ways. One, they will gain more experience. Two, you will be provide them with helpful information to solve the problem. 7. Call on a few students and ask them to predict what will happen to the calculations in Round 2 as a result of their experience and the new information. (Answers will vary but should include things such as the calculations should become more precise, more accurate, or get better.) 8. Provide the students with the following information: 14.5 quarters stacked measure 1 inch. There are 12 inches in 1 foot. Including the antenna, the ESB is 1,454 feet tall. Again, tell the students that they may not use anything to aid them in their calculations other than a piece of paper, a pencil or pen, their human resources, and their newly acquired human capital. Give the groups 3 minutes to calculate an answer. 9. Record the answers on the board by group, for example, as follows: Round 1 Round 2 Group 1 10,000 100,000 Group 2 33,400 150,000 Call on one member from each group to explain the reasoning behind their group s answer. Point out any trends you see from Round 1 to Round 2. For example, most groups increased the number of quarters in their answer or every group more than doubled its guess. 10. Explain that more-precise answers are examples of increased productivity. Productivity is a measure of how much someone can produce with a given set of inputs during a set time period. In this activity, you were producing estimates of the number of quarters it would take to reach the top of the ESB. 11. Ask the groups what would be helpful to aid them in their calculations. In other words, what could further improve their productivity? (Answers will vary, but the students will likely say calculators and probably already have asked if they could use them.) for educational purposes, provided the user credits the Federal Reserve Bank of St. Louis, www.stlouisfed.org/education_resources. 3

12. Now tell the students they are going to complete the exercise again, but this time they will have tools to help them calculate an answer. Distribute at least one calculator to each group. Explain that the calculators are a form of physical capital. Explain that physical capital is a good used to make other goods and services. For example, tools, machines, buildings, and calculators are all types of physical capital. 13. Call on a few students and ask them to predict what will happen to the calculations now that they can use calculators. In other words, what will happen to their productivity? (Answers will vary but should include things such as it will be easier, they will be able to calculate the right answer, or it will take less time.) 14. Give the groups 3 minutes to determine their final answers. 15. Record the answers on the board by group, for example, as follows: Answer (approx.): 252,996 Round 1 Round 2 Round 3 Group 1 10,000 100,000 150,000 Group 2 33,400 150,000 255,000 Call on one member from each group to explain the reasoning behind their group s answer. 16. Verbally explain how to calculate the answer: 14.5 quarters stacked measure 1 inch. Because one foot equals 12 inches, there would be 174 quarters per foot (14.5 12). Because the Empire State Building is 1,454 feet tall, it would take approximately 252,996 quarters to reach the top (174 1,454). Next, write out and explain how the answer is calculated mathematically: 14.5 12 = 174; 174 1,454 = 252,996 or 14.5 12 1,454 = 252,996 17. Finally, point out that in all three rounds the students had the same human resources, but in subsequent rounds both human capital and physical capital helped them become more productive. In Round 2 they used their experience and knowledge (human capital, in this case gained from learning facts) to fine-tune their calculations. In Round 3 they also used calculators physical capital. During the course of the rounds, they become more productive. 18. Tell the students you are going to read a book about how the ESB was built called Sky Boys: How They Built the Empire State Building. Give a copy of Handout 1: Activity to each student. Assign a student to read the directions (as follows): for educational purposes, provided the user credits the Federal Reserve Bank of St. Louis, www.stlouisfed.org/education_resources. 4

As you listen to the story, cross out the examples of the human resources and physical capital that went into the construction of the Empire State Building. Cross out only those items specifically mentioned in the story or shown in the pictures. 19. Read the story, pausing periodically to show the pictures and to allow the students to complete the handout. Review answers. (See the Handout 1 Answer Key.) Closure 20. To review the important concepts of the lesson, ask the students to think back to the reasoning activity they participated in earlier in the lesson and then discuss the following: What were the human resources used in the ESB activity at the beginning of the lesson? (Students, four in each group) What is the knowledge and skills people obtain through education, experience, and training called? (Human capital) Other than the calculators, what forms of physical capital would have helped you? (Answers will vary, but students may suggest a computer.) If you had [insert the above mentioned form of physical capital], what do you think would happen to your productivity? (It would increase.) Explain your answer. Assessment 21. Distribute a copy of Handout 2: Assessment to each student. Turn to pages 15-16 of Sky Boys. Display the pages on a document camera or allow the students to take turns viewing the book. Ask them to read the directions and complete the handout. Review answers. (See the Handout 2 Answer Key.) Extension 22. Complete the reasoning activity with a building or landmark near to you. Examples: Landmark height Answer City, State Building/Landmark (feet) (# of quarters) Biloxi, MS Biloxi Lighthouse 64 11,136 Chicago, IL Willis Tower 1,729 300,846 Little Rock, AR Metropolitan National Bank Tower 547 95,004 Memphis, TN Pyramid Arena 321 55,854 New York City, NY Statue of Liberty 305 53,070 Philadelphia, PA City Hall 548 95,352 San Francisco, CA Coit Tower 210 36,540 Seattle, WA Space Needle 604 105,096 St. Louis, MO Gateway Arch 630 109,609 for educational purposes, provided the user credits the Federal Reserve Bank of St. Louis, www.stlouisfed.org/education_resources. 5

Visual 1: Empire State Building The Empire State Building New York City, NY for educational purposes, provided the user credits the Federal Reserve Bank of St. Louis, www.stlouisfed.org/education_resources. 6

Visual 2: Problem How many quarters stacked like this would it take to reach the top of the Empire State Building? for educational purposes, provided the user credits the Federal Reserve Bank of St. Louis, www.stlouisfed.org/education_resources. 7

Handout 1: Activity Name Directions: As you listen to the story, cross out the examples of the human resources and physical capital that went into the construction of the Empire State Building. Cross out only those items specifically mentioned in the story or shown in the pictures. Human Resources Architect Bricklayers Bucker-up Carpenters Catcher Derrick men Electricians Foreman Gunman Heater Masons Nurse Plumbers Water boy Physical Capital Bricks Cement Elevators Fabric Hoists Limestone Marble Paper Pipes Railcars Rivets Rulers Stairs Steel Tongs Windows Wires Wood for educational purposes, provided the user credits the Federal Reserve Bank of St. Louis, www.stlouisfed.org/education_resources. 8

Handout 1: Activity Answer Key Name Directions: As you listen to the story, cross out the examples of the human resources and physical capital that went into the construction of the Empire State Building. Cross out only those items specifically mentioned in the story or shown in the pictures. Human Resources Architect Bricklayers Bucker-up Carpenters Catcher Derrick men Electricians Foreman Gunman Heater Masons Nurse Plumbers Water boy Physical Capital Bricks Cement Elevators Fabric Hoists Limestone Marble Paper Pipes Railcars Rivets Rulers Stairs Steel Tongs Windows Wires Wood for educational purposes, provided the user credits the Federal Reserve Bank of St. Louis, www.stlouisfed.org/education_resources. 9

Handout 2: Assessment Name Directions: As you look at pictures from the book, answer the questions below. 1. What human resources are illustrated in the pictures? Circle all that apply. Bricklayers Bucker-up Catcher Derrick men Gunman Heater 2. Does everyone illustrated in the pictures have the same training, skills, and education? Place an X next to your answer. Yes, they are all using the same human capital to build the Empire State Building. No, they are all doing different jobs and each one requires different human capital. 3. List 5 examples of physical capital illustrated in the pictures. 4. If all of the men on the riveting gang were replaced with other men who had never done those jobs before, what do you think would happen to productivity? Place an X next to your answer. Productivity would go up. The new men will not be as tired. Productivity would go down. The new men have no experience. Productivity would stay the same. It does not matter who does the job. for educational purposes, provided the user credits the Federal Reserve Bank of St. Louis, www.stlouisfed.org/education_resources. 10

Handout 2: Assessment Answer Key Name Directions: As you look at pictures from the book, answer the questions below. 1. What human resources are illustrated in the pictures? Circle all that apply. Bricklayers Bucker-up Catcher Derrick men Gunman Heater 2. Does everyone illustrated in the pictures have the same training, skills, and education? Place an X next to your answer. Yes, they are all using the same human capital to build the Empire State Building. X No, they are all doing different jobs and each one requires different human capital. 3. List 5 examples of physical capital illustrated in the pictures. Answers will vary, but could include any of the following: Bar Gloves Steel Fire Hammer Tin can (bucket) Forge Rivets Tongs 4. If all of the men on the riveting gang were replaced with other men who had never done those jobs before, what do you think would happen to productivity? Place an X next to your answer. Productivity would go up. The new men will not be as tired. X Productivity would go down. The new men have no experience. Productivity would stay the same. It does not matter who does the job. for educational purposes, provided the user credits the Federal Reserve Bank of St. Louis, www.stlouisfed.org/education_resources. 11

Standards and Benchmarks National Standards in Economics Standard 1: Productive resources are limited. Therefore, people cannot have all the goods and services they want; as a result, they must choose some things and give up others. Benchmark 6, Grade 4: Productive resources are the natural resources, human resources, and capital goods available to make goods and services. Benchmark 8, Grade 4: Human resources are the people who do the mental and physical work to produce goods and services. Benchmark 9, Grade 4: Capital goods are goods that are produced and used to make other goods and services. Benchmark 10, Grade 4: Human capital refers to the quality of labor resources, which can be improved through investments in education, training, and health. Standard 15: Investment in factories, machinery, new technology, and in the health, education, and training of people stimulates economic growth and can raise future standards of living. Benchmark 1, Grade 4: When workers learn and practice new skills they improve their productivity by improving their human capital. Benchmark 2, Grade 4: Workers can improve their productivity by using physical capital such as tools and machinery. Common Core State Standards: Mathematics, Grade 2 Measurement and Data Measure and estimate lengths in standard units. CCSS.Math.Content.2.MD.A.3: Estimate lengths using units of inches, feet, centimeters, and meters. Common Core State Standards: Mathematics, Grade 4 Operations and Algebraic Thinking Use the four operations with whole numbers to solve problems. CCSS.Math.Content.4.OA.A.2: Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. CCSS.Math.Content.4.OA.A.3: Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. for educational purposes, provided the user credits the Federal Reserve Bank of St. Louis, www.stlouisfed.org/education_resources. 12

Measurement and Data Solve problems involving measurement and conversion of measurements. CCSS.Math.Content.4.MD.A.1: Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36),... CCSS.Math.Content.4.MD.A.2: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. Common Core State Standards: English Language Arts, Grade 4 Reading: Literature Key Ideas and Details CCSS.ELA-Literacy.RI.4.1: Refer to details and examples in a text when explaining what the text says explicitly and when drawing inferences from the text. Craft and Structure CCSS.ELA-Literacy.RL.4.4: Determine the meaning of words and phrases as they are used in a text, including those that allude to significant characters found in mythology (e.g., Herculean). Integration of Knowledge and Ideas CCSS.ELA-Literacy.RL.4.7: Make connections between the text of a story or drama and a visual or oral presentation of the text, identifying where each version reflects specific descriptions and directions in the text. Speaking & Listening Comprehension and Collaboration CCSS.ELA-Literacy.SL.4.1: Engage effectively in a range of collaborative discussions (one-on-one, in groups, and teacher-led) with diverse partners on grade 4 topics and texts, building on others ideas and expressing their own clearly. Language Vocabulary Acquisition and Use CCSS.ELA-Literacy.L.4.6: Acquire and use accurately grade-appropriate general academic and domain-specific words and phrases, including those that signal precise actions, emotions, or states of being (e.g., quizzed, whined, stammered) and that are basic to a particular topic (e.g., wildlife, conservation, and endangered when discussing animal preservation). for educational purposes, provided the user credits the Federal Reserve Bank of St. Louis, www.stlouisfed.org/education_resources. 13