A CADEMY OF E NGINEERING S ESSION Principles of Engineering Integrated Curriculum Pier Sun Ho Kathleen Harris Workshop Objectives and Expectations This workshop is intended to: • Familiarize teacher teams with the integrated curriculum model • Introduce POE and its associated integrated curriculum • Prepare participants for implementing the curriculum • Introduce the participants to a sample culminating engineering project 2 Continuum of Curriculum Integration ELA SCI MATH CTE SOC ARTS FOR LANG Single Subject BASIC Parallel (Paired) Interrelated INTERMEDIATE Conceptual ADVANCED Aug English Biographies Character traits and motivation Numbers Algebra II and functions Biology Scientific method Definitions Geometry Geometric reasoning Law and Justice Sep Oct Nov Dec Short stories Time and sequence Foreshadowing Flashback Universal themes Creative Literary devices writing Imagery, allegory, Interviews symbolism Evaluating credibility Writing persuasive compositions Solving systems of linear equations Solving and graphing quadratics Polynomial functions Cell biology Photosynthesis Cellular respiration Central dogma DNA structure and Meiosis technology Inheritance Protein synthesis Induction vs. deduction Construction of lines, angles, shapes Circles Properties of triangles Congruence Area, and surface Quadrilaterals area Polygons Sectors and segments Codes Criminal investigation Courts Courtroom testimony Ancient legal Sources of law systems Bill of Rights Early laws Amendments Exponential equations Logarithms Cloning Stem cell research Mediation Arbitration Conflict resolution Integrated Curriculum Overview PLTW Social Studies Science Engin Project Math English Language Arts • Tier I – Introduction to Engineering Design – Principles of Engineering – Digital Electronics • Tier II – – – – Aerospace Engineering Biotechnical Engineering Civil Engineering and Architecture Computer Integrated Manufacturing • Tier III – Engineering Design and Development 6 Principles Of Engineering Unit 1: Energy and Power Key Concepts: • Mechanisms • Energy Sources • Energy Applications • Design Problem Principles Of Engineering Unit 2: Control Systems Key Concepts: • Machine Control • Fluid Power • Design Problem Principles Of Engineering Unit 3: Materials and Structures Key Concepts: • Statics • Materials Properties • Material Testing • Design Problem Stress (S) psi Necking Region Rupture Point Strain () in./in. Principles Of Engineering Unit 4: Statistics and Kinematics Key Concepts: • Statistics • Kinematics • Design Problem Integrated Curriculum Overview There are 2 curriculum units for Principles of Engineering • Semester 1: Bridge Builder • Semester 2: Bombs Away Each unit includes: • Lesson plans for the four academic subject areas and POE • Relevant national standards alignment • Teacher resources (background info, answer keys, rubrics) • Student resources (handouts, worksheets, labs) 11 Unit 2 Bombs Away Unit Overview • Subunit 1 introduces students to the study of external ballistics and the science and math that governs objects in ballistic trajectories • Subunit 2 lessons examine the history of atmospheric ballistic weapons use in conflicts in the 20th century, including evaluation of the rationale and the ethical issues surrounding the aftermath. • Subunit 3 lessons explore issues associated with ballistic missiles and provide student the opportunity to apply their knowledge in a design challenge Major Academic Subject Topics and Content • English Language Arts • • • Social Studies • • • World War II—Battle of Britain, Dresden bombing Cold War—Cuban Missile Crisis Science • • Biographies Argumentation and debate Physical Science/Physics—Trajectory motion Mathematics • • Quadratic equations Arcs and chords, basic trigonometry Subunit 1: Ready, Aim, Fire Lesson and Subject Description Lesson 1.1 Ballistic Bullseye Principles of Engineering Lesson 1.2 Trajectory Motion Physical Science Principles of Engineering Lesson 1.3 “Quannon” Quadratics Algebra I Geometry Lesson 1.4 Rocket Boys English Language Arts 15 Ballistic Motion • Ballistics: Study of projectiles, objects propelled by an initial launch force Examples • Sports (football, basketball, baseball, soccer, golf, etc.) • Missiles/Bombs/Bullets • Bullets • Fountains • Fireworks Subunit 1: Ready, Aim, Fire Lesson and Subject Description Lesson 1.1 Ballistic Bullseye Principles of Engineering Lesson 1.2 Trajectory Motion Physical Science Principles of Engineering Lesson 1.3 “Quannon” Quadratics Algebra I Geometry Lesson 1.4 Rocket Boys English Language Arts 17 Approaching a Drop Target Do You….? A. Drop payload when you are directly above the target B. Drop payload before you get to the target? C. Drop payload after you’ve passed the target? But, but…! What’s Happening? Courtesy of NOAA Kinematics and Projectile Motion (page 1-11) • Kinematics is the study of the geometry of motion and is used to relate displacement, velocity, acceleration and time without reference to the cause of motion. • Projectile Motion is in two directions – horizontal and vertical • Horizontal motion is independent of vertical motion Basic typical assumptions • Air resistance is negligible • Curvature of the Earth is negligible • Force of gravity is constant at -9.8 m/s2 or -32 ft/s2 Analysis of Projectile Motion: Distance • Horizontal Direction (x) represents the range, or distance the projectile travels • Vertical direction (y) represents the altitude, or height, the projectile reaches Calculating Displacement • S = vi t + ½ at2 • Sx = r = vix t + ½ axt2 = vix t • Sy = h = viy t + ½ ayt2 = viy t + ½ gt2 h r Analysis of Projectile Motion: Velocity • Horizontal velocity (Vx) is constant since there is no acceleration in the horizontal direction • Vertical velocity (Vy) is affected by the gravity; the vertical velocity of a projectile is zero at the height of its trajectory Analysis of Projectile Motion: Velocity SOH – CAH - TOA Subunit 1: Ready, Aim, Fire Lesson and Subject Description Page Lesson 1.1 Ballistic Bullseye 1-1 Trajectory Motion 1-9 “Qannon” Quadratics 1-23 Principles of Engineering Lesson 1.2 Physical Science Principles of Engineering Lesson 1.3 Algebra I Geometry Lesson 1.4 Fireworks Fun Chemistry Lesson 1.5 Rocket Boys English Language Arts 26 Mountain Matchup It’s time for a fight in the heights. Unfortunately, you don’t have the high ground, but that doesn’t mean you don’t know what you’re doing. The artillery chief has set the cannons at a 76° angle and tells you to fire with an initial velocity of 56 m/s. How long will it take your cannonball to reach the castle? Sy = vy t + ½ a t2 50 m = vy t + ½ (-9.8) t2 50 m = (54.3) t + (-4.9)t2 Castle D Altitude 150 m SOH – CAH – TOA! Castle C Altitude 50 m Vy= ? V0= 56 m/s Θ= 76° Castle D Knights Altitude 0 m sin 76° = Opp / Hyp 0.97 = Vy / 56 Vy = 0.97 x 56 Vy = 54.3 m/s 27 Mountain Matchup It’s time for a fight in the heights. Unfortunately, you don’t have the high ground, but that doesn’t mean you don’t know what you’re doing. The artillery chief has set the cannons at a 76° angle and tells you to fire with an initial velocity of 56 m/s. How long will it take your cannonball to reach the castle? 50 m = (54.3) t + (-4.9)t2 4.9 t2 - 54.3 t + 50 m = 0 t = 1 s or 10.1 s Castle D Altitude 150 m Castle C Altitude 50 m Castle D Knights Altitude 0 m 28 Subunit 1: Ready, Aim, Fire Lesson and Subject Description Lesson 1.1 Ballistic Bullseye Principles of Engineering Lesson 1.2 Trajectory Motion Physical Science Principles of Engineering Lesson 1.3 “Quannon” Quadratics Algebra I Geometry Lesson 1.4 Rocket Boys English Language Arts 29 Subunit 2: The Price of War Lesson and Subject Description Page Lesson 2.1 The Battle of Britain 2-1 Right or Might 2-27 Making a Case 2-57 World History Lesson 2.2 World History Lesson 3.3 English Language Arts 30 Bombing Strategies • Tactical Bombing • • • • Targets: Enemy military forces and other military targets and enemy strongholds Goal: Direct and immediate negative influence on the battlefront Effect: Direct Strategic Bombing: • • • Targets: Infrastructure such as industrial plants, port facilities, and railway bridges, as well as more widespread bombing of an enemy's cities and other civilian-populated areas Goal: Eliminate the enemy's capability and will to sustain a war effort Effect: Delayed Right or Might? • Spanish Civil War • • World War II • • • • • London Blitz, 1940-1941 Pearl Harbor, 1941 Allied bombing at Dresden, 1945 Hiroshima and Nagasaki, 1945 Vietnam • • Guernica, 1937 Operation Rolling Thunder, 1965-1968 Post-Cold War • • Kosovo, 1999 Iraq, 2003 Subunit 2: The Price of War Lesson and Subject Description Page Lesson 2.1 The Battle of Britain 2-1 Right or Might 2-27 Making a Case 2-57 World History Lesson 2.2 World History Lesson 3.3 English Language Arts 33 ARE You Convincing? • Assertion: Begin with a statement that describes your main point • • Reasoning: Follow with the “because” part of an argument where you support the assertion you’ve just made. • • The voting age should be lowered to 16 Because allowing younger people to vote would increase their involvement in politics and society Evidence: Support your reasoning with multiple pieces of evidence from multiple unbiased sources • For example, politicians are more likely to listen to what kids have to say if they have a vote Debate Ethical Issues • Select one of the conflicts listed to the right (or another conflict your table is familiar with) and debate the following: • • • • • • London Blitz, 1940-1941 Pearl Harbor, 1941 Allied bombing at Dresden, 1945 Hiroshima and Nagasaki, 1945 Vietnam • • Guernica, 1937 World War II • • Was the strategic bombing during this conflict justified? Spanish Civil War Operation Rolling Thunder, 1965-1968 Post-Cold War • • Kosovo, 1999 Iraq, 2003 Subunit 3: Too Close for Comfort Lesson and Subject Description Page Lesson 3.1 Ballistic Missile Range 3-1 Cuban Missile Crisis 3-23 You Sunk My Battleship 3-51 Geometry Lesson 3.2 U.S. History Lesson 3.3 Principles of Engineering 36 Arcs and Chords 37 Subunit 3: Too Close for Comfort Lesson and Subject Description Page Lesson 3.1 Ballistic Missile Range 3-1 Cuban Missile Crisis 3-23 You Sunk My Battleship 3-51 Geometry Lesson 3.2 U.S. History Lesson 3.3 Principles of Engineering 38 Cuban Missile Crisis Roleplay 39 Subunit 3: Too Close for Comfort Lesson and Subject Description Page Lesson 3.1 Ballistic Missile Range 3-1 Cuban Missile Crisis 3-23 You Sunk My Battleship 3-51 Geometry Lesson 3.2 U.S. History Lesson 3.3 Principles of Engineering 40 Build an Adjustable Ballistic Device • Notched Craft Sticks (15) • Glue • Binder Clips (2) • Rubber Bands (4) • Masking Tape • Protractor Catapult should be capable of firing at multiple angles and be mounted on a cardboard base Test your Trajectories • Set up your catapult • Test your catapult for at least three angles • Do at least 5 trials and average the range for each angle • Using the average data, create a graph illustrating the range of your catapult 10 8 6 4 2 0 0 deg 30 deg 45 deg 60 deg Battleship! • Mount your catapult on a “battleship” • Place your battleship on the grid • Each square is 1’ x 1’ • On your turn, you can do any combination of the following: move up to three space, rotate 90 and/or fire • A hit can be on any part of the battleship (no bounces!), 2 hits required to sink • Goal: Sink the enemy battleships before they sink you Implementing Integrated Curriculum • Common Planning Time • Curriculum Mapping and Lesson Discussion IED SEPTEMBER OCTOBER NOVEMBER DECEMBER JANUARY FEBRUARY MARCH APRIL DESIGN PROCESS SKETCHING DRAWING MEASURE MENT BASIC MODELS PUZZLE CUBE GEOMETRIC CONSTRAINTS ADV MODELING ASSEMBLY MODELING FUNCTIONAL ANALYSIS REVERSE ENGIN MENDEL’S LAWS MOLECULAR BIOLOGY BIOTECH ECOLOGY POPULAT’N GENETICS ADAPTATION SPECIATION PHYSIOLOGY HOMEO STASIS INFECTION IMMUNITY SPECTRO SCOPY WEATHER ELECTICITY MAGNETISM ENERGY & WAVES SIMPLE MACHINES CHEMISTRY QUADRATIC FUNCTIONS AND EQUATIONS RATIONAL FUNCTIONS AND EQUATIONS PERSUSIVE WRITING TO KILL A MOCKINGBIRD TIMED ESSAYS TOTALI TARIANISM WW II POST WW II SIMILARITY RIGHT TRIANGLE TRIG CIRCLES CELL BIOLOGY BIO PHYS SCI MEIOSIS FERTILIZATION MEASURING THE UNIVERSE SOLAR SYSTEM HISTORICAL FIGURES FORCES PROPERTIES OF MATTER PLATE TECTONICS REAL NUMBERS SOLVE LINEAR EQUATIONS AND INEQUALITIES GRAPH AND INTERPRET LINEAR EQUATIONS SYSTEMS OF EXPONENTS SOLVING EQUATIONS AND POLY SYSTEMS OF AND NOMIALS EQUATIONS INEQUALITIES AUTO/ BIOGRAPHIES SHORT STORIES THE ODYSSEY ROMEO AND JULIET EXPOSITORY WRITING LITERARY RESPONSES NARRATIVE WRITING HIST WESTERN POLITICAL THOUGH RISE OF DEMOCRATIC IDEALS INDUSTRIAL REVOLUTION IMPERIALISM AND COLONIALISM GEOM LINES, ANGLES, CONSTRUC TIONS INDUCTION DEDUCTION PROOFS TRIANGLES QUAD RILATERALS REVIEW ALG I ELA RESEARCH PAPER LITERARY RESPONSES WW I AREA 45 IED SEPTEMBER OCTOBER NOVEMBER DECEMBER JANUARY FEBRUARY MARCH APRIL DESIGN PROCESS SKETCHING DRAWING MEASURE MENT BASIC MODELS PUZZLE CUBE GEOMETRIC CONSTRAINTS ADV MODELING ASSEMBLY MODELING FUNCTIONAL ANALYSIS REVERSE ENGIN MENDEL’S LAWS MOLECULAR BIOLOGY BIOTECH ECOLOGY POPULAT’N GENETICS ADAPTATION SPECIATION PHYSIOLOGY HOMEO STASIS INFECTION IMMUNITY SPECTRO SCOPY WEATHER ELECTICITY MAGNETISM ENERGY & WAVES SIMPLE MACHINES CHEMISTRY QUADRATIC FUNCTIONS AND EQUATIONS RATIONAL FUNCTIONS AND EQUATIONS PERSUSIVE WRITING TO KILL A MOCKINGBIRD TIMED ESSAYS TOTALI TARIANISM WW II POST WW II SIMILARITY RIGHT TRIANGLE TRIG CIRCLES CELL BIOLOGY BIO PHYS SCI MEIOSIS FERTILIZATION MEASURING THE UNIVERSE SOLAR SYSTEM HISTORICAL FIGURES FORCES PROPERTIES OF MATTER PLATE TECTONICS REAL NUMBERS SOLVE LINEAR EQUATIONS AND INEQUALITIES GRAPH AND INTERPRET LINEAR EQUATIONS SYSTEMS OF EXPONENTS SOLVING EQUATIONS AND POLY SYSTEMS OF AND NOMIALS EQUATIONS INEQUALITIES AUTO/ BIOGRAPHIES SHORT STORIES THE ODYSSEY ROMEO AND JULIET EXPOSITORY WRITING LITERARY RESPONSES NARRATIVE WRITING HIST WESTERN POLITICAL THOUGH RISE OF DEMOCRATIC IDEALS INDUSTRIAL REVOLUTION IMPERIALISM AND COLONIALISM GEOM LINES, ANGLES, CONSTRUC TIONS INDUCTION DEDUCTION PROOFS TRIANGLES QUAD RILATERALS REVIEW ALG I ELA RESEARCH PAPER LITERARY RESPONSES WW I AREA 46 IED SEPTEMBER OCTOBER NOVEMBER DECEMBER JANUARY FEBRUARY MARCH APRIL DESIGN PROCESS SKETCHING DRAWING MEASURE MENT BASIC MODELS PUZZLE CUBE GEOMETRIC CONSTRAINTS ADV MODELING ASSEMBLY MODELING FUNCTIONAL ANALYSIS REVERSE ENGIN MENDEL’S LAWS MOLECULAR BIOLOGY BIOTECH POPULAT’N GENETICS ADAPTATION SPECIATION ECOLOGY PHYSIOLOGY HOMEO STASIS INFECTION IMMUNITY SPECTRO SCOPY WEATHER ELECTICITY MAGNETISM ENERGY & WAVES SIMPLE MACHINES CHEMISTRY SOLVING SYSTEMS OF EQUATIONS QUADRATIC FUNCTIONS AND EQUATIONS RATIONAL FUNCTIONS AND EQUATIONS CELL BIOLOGY BIO PHYS SCI MEIOSIS FERTILIZATION MEASURING THE UNIVERSE REVIEW ALG I ELA REAL NUMBERS AUTO/ BIOGRAPHIES EXPOSITORY WRITING SOLAR SYSTEM SOLVE LINEAR EQUATIONS AND INEQUALITIES RESEARCH PAPER HIST WESTERN POLITICAL THOUGH RISE OF DEMOCRATIC IDEALS GEOM LINES, ANGLES, CONSTRUC TIONS INDUCTION DEDUCTION PROOFS HISTORICAL FIGURES PLATE TECTONICS FORCES PROPERTIES OF MATTER GRAPH AND INTERPRET LINEAR EQUATIONS SYSTEMS OF EQUATIONS AND INEQUALITIES EXPONENTS AND POLY NOMIALS SHORT STORIES THE ODYSSEY ROMEO AND JULIET LITERARY RESPONSES NARRATIVE WRITING INDUSTRIAL REVOLUTION IMPERIALISM AND COLONIALISM TRIANGLES QUAD RILATERALS LITERARY RESPONSES WW I AREA PERSUSIVE TO KILL A WRITING MOCKINGBIRD TIMED ESSAYS TOTALI TARIANISM WW II POST WW II SIMILARITY RIGHT TRIANGLE TRIG CIRCLES 47 IED SEPTEMBER OCTOBER NOVEMBER DECEMBER JANUARY FEBRUARY MARCH APRIL DESIGN PROCESS SKETCHING DRAWING MEASURE MENT BASIC MODELS PUZZLE CUBE GEOMETRIC CONSTRAINTS ADV MODELING ASSEMBLY MODELING FUNCTIONAL ANALYSIS REVERSE ENGIN MENDEL’S LAWS MOLECULAR BIOLOGY BIOTECH POPULAT’N GENETICS ADAPTATION SPECIATION ECOLOGY PHYSIOLOGY HOMEO STASIS INFECTION IMMUNITY SPECTRO SCOPY WEATHER ELECTICITY MAGNETISM ENERGY & WAVES SIMPLE MACHINES CHEMISTRY SOLVING SYSTEMS OF EQUATIONS QUADRATIC FUNCTIONS AND EQUATIONS RATIONAL FUNCTIONS AND EQUATIONS CELL BIOLOGY BIO PHYS SCI MEIOSIS FERTILIZATION MEASURING THE UNIVERSE REVIEW ALG I ELA REAL NUMBERS AUTO/ BIOGRAPHIES EXPOSITORY WRITING SOLAR SYSTEM SOLVE LINEAR EQUATIONS AND INEQUALITIES RESEARCH PAPER HIST WESTERN POLITICAL THOUGH RISE OF DEMOCRATIC IDEALS GEOM LINES, ANGLES, CONSTRUC TIONS INDUCTION DEDUCTION PROOFS HISTORICAL FIGURES PLATE TECTONICS FORCES PROPERTIES OF MATTER GRAPH AND INTERPRET LINEAR EQUATIONS SYSTEMS OF EQUATIONS AND INEQUALITIES EXPONENTS AND POLY NOMIALS SHORT STORIES THE ODYSSEY ROMEO AND JULIET LITERARY RESPONSES NARRATIVE WRITING INDUSTRIAL REVOLUTION IMPERIALISM AND COLONIALISM TRIANGLES QUAD RILATERALS LITERARY RESPONSES WW I AREA PERSUSIVE TO KILL A WRITING MOCKINGBIRD TIMED ESSAYS TOTALI TARIANISM WW II POST WW II SIMILARITY RIGHT TRIANGLE TRIG CIRCLES 48 Implementing Integrated Curriculum • Curriculum Mapping and Lesson Discussion • • • Revising lessons: This lesson doesn’t fit my scope and/or standards Removing lessons: We don’t have that subject teacher on our team Adding lessons: My subject isn’t represented in the unit • Common Planning Time! • We don’t have time/structure to fit this into our school year • • Single subject integration Parallel/Paired integration 49 Unit 1 Bridge Builder Bridge Engineering • Span physical obstacles • Design depends on purpose and setting • What is the main traffic (cars, pedestrians) of the bridge? • How much traffic will there be? • How far does the bridge need to span? • What is the terrain around the obstacle? • How much clearance is needed beneath the bridge? • Are aesthetics a consideration? Unit Overview • Subunit 1 lessons introduce to the form and function of bridges, the different types of bridge designs, where and why bridges are built in specific locations, and a mini case study of Brooklyn Bridge • Subunit 2 lessons introduce the basic math and science involved bridge engineering and bridge maintenance • Subunit 3 lessons provide students with the opportunity to apply their academic and engineering knowledge to a design challenge: balsa wood truss bridge Major Academic Subject Topics and Content • English Language Arts • • • • Social Studies • • Gilded Age urbanization, industrialization, innovation, and politics Science • • • • Narrative nonfiction Interpreting technical reports Writing news articles Force calculations, vectors, and free body diagrams Corrosion Environmental impact and mitigation Mathematics • • Solving and graphing linear equations (Trigonometry) Subunit 1: Form and Function Lesson and Subject Description Lesson 1.1 Introduction to Bridges Principles of Engineering Lesson 1.2 Great Bridges English Language Arts Lesson 1.3 Growth in the Gilded Age U.S. History Lesson 1.4 Site Selection English Language Arts Lesson 1.5 Environmental Mitigation Biology 54 Subunit 2: Structural Support Lesson and Subject Description Lesson 2.1 Science of Bridge Structure Physics Principles of Engineering Lesson 2.2 Estimating Live Load Algebra I Lesson 2.3 Rusty Truss Chemistry Lesson 2.4 Bridge Disaster Report English Language Arts 55 Subunit 3: Build Your Bridge Lesson and Subject Description Lesson 3.1 Building the Brooklyn Bridge U.S. History Lesson 3.2 Bridge Blueprints Principles of Engineering Lesson 3.3 Opening Day Principles of Engineering 56 T HANKS FOR A TTENDING ! Download curriculum materials from the NAF curriculum library Contact us with questions and suggestions! Pier Sun Ho psunho@ConnectEdCalifornia.org