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A CADEMY OF E NGINEERING S ESSION Principles of Engineering Integrated Curriculum Pier Sun Ho Kathleen Harris

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2 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

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Continuum of Curriculum Integration BASIC INTERMEDIATE ADVANCED CTE ELA MATH ARTS FOR LANG SOCSCI Single Subject Parallel (Paired)Interrelated Conceptual

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AugSepOctNovDec English Biographies Character traits and motivation Short stories Time and sequence Foreshadowing Flashback Universal themes Literary devices Imagery, allegory, symbolism Creative writing Interviews Evaluating credibility Writing persuasive compositions Algebra II Numbers and functions Solving systems of linear equations Solving and graphing quadratics Exponential equations Logarithms Polynomial functions Biology Scientific method Cell biology Photosynthesis Cellular respiration Central dogma DNA structure and technology Protein synthesis Meiosis Inheritance Cloning Stem cell research Geometry Definitions Geometric reasoning Induction vs. deduction Construction of lines, angles, shapes Circles Properties of triangles Congruence Quadrilaterals Polygons Area, and surface area Sectors and segments Law and Justice Ancient legal systems Early laws Sources of law Bill of Rights Amendments Codes Criminal investigation Courts Courtroom testimony Mediation Arbitration Conflict resolution

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Integrated Curriculum Overview Engin Project PLTWScience English Language Arts Math Social Studies

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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

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Principles Of Engineering Key Concepts: Mechanisms Energy Sources Energy Applications Design Problem Unit 1: Energy and Power

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Unit 2: Control Systems Principles Of Engineering Key Concepts: Machine Control Fluid Power Design Problem

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Unit 3: Materials and Structures Principles Of Engineering Key Concepts: Statics Materials Properties Material Testing Design Problem

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Unit 4: Statistics and Kinematics Principles Of Engineering Key Concepts: Statistics Kinematics Design Problem

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11 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)

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Unit 2 Bombs Away

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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 20 th 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

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Major Academic Subject Topics and Content English Language Arts Biographies Argumentation and debate Social Studies World War II—Battle of Britain, Dresden bombing Cold War—Cuban Missile Crisis Science Physical Science/Physics—Trajectory motion Mathematics Quadratic equations Arcs and chords, basic trigonometry

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Subunit 1: Ready, Aim, Fire Lesson and SubjectDescription Lesson 1.1 Principles of Engineering Ballistic Bullseye Lesson 1.2 Physical Science Principles of Engineering Trajectory Motion Lesson 1.3 Algebra I Geometry “Quannon” Quadratics Lesson 1.4 English Language Arts Rocket Boys 15

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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

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Subunit 1: Ready, Aim, Fire Lesson and SubjectDescription Lesson 1.1 Principles of Engineering Ballistic Bullseye Lesson 1.2 Physical Science Principles of Engineering Trajectory Motion Lesson 1.3 Algebra I Geometry “Quannon” Quadratics Lesson 1.4 English Language Arts Rocket Boys 17

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Approaching a Drop Target

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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?

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But, but…!

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What’s Happening? Courtesy of NOAA

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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/s 2 or -32 ft/s 2

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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 = v i t + ½ at 2 S x = r = v ix t + ½ a x t 2 = v ix t S y = h = v iy t + ½ a y t 2 = v iy t + ½ gt 2 h r

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Analysis of Projectile Motion: Velocity Horizontal velocity (V x ) is constant since there is no acceleration in the horizontal direction Vertical velocity (V y ) is affected by the gravity; the vertical velocity of a projectile is zero at the height of its trajectory

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Analysis of Projectile Motion: Velocity SOH – CAH - TOA

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Subunit 1: Ready, Aim, Fire Lesson and SubjectDescriptionPage Lesson 1.1 Principles of Engineering Ballistic Bullseye1-1 Lesson 1.2 Physical Science Principles of Engineering Trajectory Motion1-9 Lesson 1.3 Algebra I Geometry “Qannon” Quadratics1-23 Lesson 1.4 Chemistry Fireworks Fun Lesson 1.5 English Language Arts Rocket Boys 26

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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? 27 Castle C Altitude 50 m Castle D Altitude 150 m Castle D Knights Altitude 0 m S y = v y t + ½ a t 2 V 0 = 56 m/s V y = ? 50 m = v y t + ½ (-9.8) t 2 SOH – CAH – TOA! Θ= 76° sin 76° = Opp / Hyp 0.97 = V y / 56 V y = 0.97 x 56 V y = 54.3 m/s 50 m = (54.3) t + (-4.9)t 2

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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? 28 Castle C Altitude 50 m Castle D Altitude 150 m Castle D Knights Altitude 0 m 50 m = (54.3) t + (-4.9)t t t + 50 m = 0 t = 1 s or 10.1 s

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Subunit 1: Ready, Aim, Fire Lesson and SubjectDescription Lesson 1.1 Principles of Engineering Ballistic Bullseye Lesson 1.2 Physical Science Principles of Engineering Trajectory Motion Lesson 1.3 Algebra I Geometry “Quannon” Quadratics Lesson 1.4 English Language Arts Rocket Boys 29

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Subunit 2: The Price of War Lesson and SubjectDescriptionPage Lesson 2.1 World History The Battle of Britain2-1 Lesson 2.2 World History Right or Might2-27 Lesson 3.3 English Language Arts Making a Case

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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

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Right or Might? Spanish Civil War Guernica, 1937 World War II London Blitz, Pearl Harbor, 1941 Allied bombing at Dresden, 1945 Hiroshima and Nagasaki, 1945 Vietnam Operation Rolling Thunder, Post-Cold War Kosovo, 1999 Iraq, 2003

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Subunit 2: The Price of War Lesson and SubjectDescriptionPage Lesson 2.1 World History The Battle of Britain2-1 Lesson 2.2 World History Right or Might2-27 Lesson 3.3 English Language Arts Making a Case

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ARE You Convincing? Assertion: Begin with a statement that describes your main point The voting age should be lowered to 16 Reasoning: Follow with the “because” part of an argument where you support the assertion you’ve just made. 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

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Debate Ethical Issues Select one of the conflicts listed to the right (or another conflict your table is familiar with) and debate the following: Was the strategic bombing during this conflict justified? Spanish Civil War Guernica, 1937 World War II London Blitz, Pearl Harbor, 1941 Allied bombing at Dresden, 1945 Hiroshima and Nagasaki, 1945 Vietnam Operation Rolling Thunder, Post-Cold War Kosovo, 1999 Iraq, 2003

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Subunit 3: Too Close for Comfort Lesson and SubjectDescriptionPage Lesson 3.1 Geometry Ballistic Missile Range3-1 Lesson 3.2 U.S. History Cuban Missile Crisis3-23 Lesson 3.3 Principles of Engineering You Sunk My Battleship

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37 Arcs and Chords

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Subunit 3: Too Close for Comfort Lesson and SubjectDescriptionPage Lesson 3.1 Geometry Ballistic Missile Range3-1 Lesson 3.2 U.S. History Cuban Missile Crisis3-23 Lesson 3.3 Principles of Engineering You Sunk My Battleship

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Cuban Missile Crisis Roleplay 39

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Subunit 3: Too Close for Comfort Lesson and SubjectDescriptionPage Lesson 3.1 Geometry Ballistic Missile Range3-1 Lesson 3.2 U.S. History Cuban Missile Crisis3-23 Lesson 3.3 Principles of Engineering You Sunk My Battleship

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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

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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

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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

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Implementing Integrated Curriculum Common Planning Time Curriculum Mapping and Lesson Discussion

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45 SEPTEMBEROCTOBERNOVEMBERDECEMBERJANUARYFEBRUARYMARCHAPRIL IED BIO PHYS SCI ALG I ELA HIST GEOM IED DESIGN PROCESS SKETCHING DRAWING MEASURE MENT BASIC MODELS PUZZLE CUBE GEOMETRIC CONSTRAINTS ADV MODELING ASSEMBLY MODELING FUNCTIONAL ANALYSIS REVERSE ENGIN BIO CELL BIOLOGY MEIOSIS FERTILIZATION MENDEL’S LAWS MOLECULAR BIOLOGY BIOTECHECOLOGY POPULAT’N GENETICS ADAPTATION SPECIATION PHYSIOLOGY HOMEO STASIS INFECTION IMMUNITY PHYS SCI MEASURING THE UNIVERSE SOLAR SYSTEM HISTORICAL FIGURES FORCES SPECTRO SCOPY PROPERTIES OF MATTER WEATHER PLATE TECTONICS ELECTICITY MAGNETISM ENERGY & WAVES SIMPLE MACHINES CHEMISTRY ALG I REVIEW REAL NUMBERS SOLVE LINEAR EQUATIONS AND INEQUALITIES GRAPH AND INTERPRET LINEAR EQUATIONS SYSTEMS OF EQUATIONS AND INEQUALITIES EXPONENTS AND POLY NOMIALS SOLVING SYSTEMS OF EQUATIONS QUADRATIC FUNCTIONS AND EQUATIONS RATIONAL FUNCTIONS AND EQUATIONS ELA AUTO/ BIOGRAPHIES EXPOSITORY WRITING SHORT STORIES LITERARY RESPONSES THE ODYSSEY NARRATIVE WRITING RESEARCH PAPER ROMEO AND JULIET LITERARY RESPONSES PERSUSIVE WRITING TO KILL A MOCKINGBIRD TIMED ESSAYS HIST WESTERN POLITICAL THOUGH RISE OF DEMOCRATIC IDEALS INDUSTRIAL REVOLUTION IMPERIALISM AND COLONIALISM WW I TOTALI TARIANISM WW IIPOST WW II GEOM LINES, ANGLES, CONSTRUC TIONS INDUCTION DEDUCTION PROOFS TRIANGLES QUAD RILATERALS AREASIMILARITY RIGHT TRIANGLE TRIG CIRCLES

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46 SEPTEMBEROCTOBERNOVEMBERDECEMBERJANUARYFEBRUARYMARCHAPRIL IED DESIGN PROCESS SKETCHING DRAWING MEASURE MENT BASIC MODELS PUZZLE CUBE GEOMETRIC CONSTRAINTS ADV MODELING ASSEMBLY MODELING FUNCTIONAL ANALYSIS REVERSE ENGIN BIO CELL BIOLOGY MEIOSIS FERTILIZATION MENDEL’S LAWS MOLECULAR BIOLOGY BIOTECHECOLOGY POPULAT’N GENETICS ADAPTATION SPECIATION PHYSIOLOGY HOMEO STASIS INFECTION IMMUNITY PHYS SCI MEASURING THE UNIVERSE SOLAR SYSTEM HISTORICAL FIGURES FORCES SPECTRO SCOPY PROPERTIES OF MATTER WEATHER PLATE TECTONICS ELECTICITY MAGNETISM ENERGY & WAVES SIMPLE MACHINES CHEMISTRY ALG I REVIEW REAL NUMBERS SOLVE LINEAR EQUATIONS AND INEQUALITIES GRAPH AND INTERPRET LINEAR EQUATIONS SYSTEMS OF EQUATIONS AND INEQUALITIES EXPONENTS AND POLY NOMIALS SOLVING SYSTEMS OF EQUATIONS QUADRATIC FUNCTIONS AND EQUATIONS RATIONAL FUNCTIONS AND EQUATIONS ELA AUTO/ BIOGRAPHIES EXPOSITORY WRITING SHORT STORIES LITERARY RESPONSES THE ODYSSEY NARRATIVE WRITING RESEARCH PAPER ROMEO AND JULIET LITERARY RESPONSES PERSUSIVE WRITING TO KILL A MOCKINGBIRD TIMED ESSAYS HIST WESTERN POLITICAL THOUGH RISE OF DEMOCRATIC IDEALS INDUSTRIAL REVOLUTION IMPERIALISM AND COLONIALISM WW I TOTALI TARIANISM WW IIPOST WW II GEOM LINES, ANGLES, CONSTRUC TIONS INDUCTION DEDUCTION PROOFS TRIANGLES QUAD RILATERALS AREASIMILARITY RIGHT TRIANGLE TRIG CIRCLES

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47 SEPTEMBEROCTOBERNOVEMBERDECEMBERJANUARYFEBRUARYMARCHAPRIL IED DESIGN PROCESS SKETCHING DRAWING MEASURE MENT BASIC MODELS PUZZLE CUBE GEOMETRIC CONSTRAINTS ADV MODELING ASSEMBLY MODELING FUNCTIONAL ANALYSIS REVERSE ENGIN BIO CELL BIOLOGY MEIOSIS FERTILIZATION MENDEL’S LAWS MOLECULAR BIOLOGY BIOTECH POPULAT’N GENETICS ADAPTATION SPECIATION ECOLOGY PHYSIOLOGY HOMEO STASIS INFECTION IMMUNITY PHYS SCI MEASURING THE UNIVERSE SOLAR SYSTEM HISTORICAL FIGURES FORCES SPECTRO SCOPY PROPERTIES OF MATTER WEATHER PLATE TECTONICS ELECTICITY MAGNETISM ENERGY & WAVES SIMPLE MACHINES CHEMISTRY ALG I REVIEW REAL NUMBERS SOLVE LINEAR EQUATIONS AND INEQUALITIES GRAPH AND INTERPRET LINEAR EQUATIONS SYSTEMS OF EQUATIONS AND INEQUALITIES EXPONENTS AND POLY NOMIALS SOLVING SYSTEMS OF EQUATIONS QUADRATIC FUNCTIONS AND EQUATIONS RATIONAL FUNCTIONS AND EQUATIONS ELA AUTO/ BIOGRAPHIES EXPOSITORY WRITING RESEARCH PAPER SHORT STORIES LITERARY RESPONSES THE ODYSSEY NARRATIVE WRITING ROMEO AND JULIET LITERARY RESPONSES PERSUSIVE WRITING TO KILL A MOCKINGBIRD TIMED ESSAYS HIST WESTERN POLITICAL THOUGH RISE OF DEMOCRATIC IDEALS INDUSTRIAL REVOLUTION IMPERIALISM AND COLONIALISM WW I TOTALI TARIANISM WW IIPOST WW II GEOM LINES, ANGLES, CONSTRUC TIONS INDUCTION DEDUCTION PROOFS TRIANGLES QUAD RILATERALS AREASIMILARITY RIGHT TRIANGLE TRIG CIRCLES

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48 SEPTEMBEROCTOBERNOVEMBERDECEMBERJANUARYFEBRUARYMARCHAPRIL IED DESIGN PROCESS SKETCHING DRAWING MEASURE MENT BASIC MODELS PUZZLE CUBE GEOMETRIC CONSTRAINTS ADV MODELING ASSEMBLY MODELING FUNCTIONAL ANALYSIS REVERSE ENGIN BIO CELL BIOLOGY MEIOSIS FERTILIZATION MENDEL’S LAWS MOLECULAR BIOLOGY BIOTECH POPULAT’N GENETICS ADAPTATION SPECIATION ECOLOGY PHYSIOLOGY HOMEO STASIS INFECTION IMMUNITY PHYS SCI MEASURING THE UNIVERSE SOLAR SYSTEM HISTORICAL FIGURES FORCES SPECTRO SCOPY PROPERTIES OF MATTER WEATHER PLATE TECTONICS ELECTICITY MAGNETISM ENERGY & WAVES SIMPLE MACHINES CHEMISTRY ALG I REVIEW REAL NUMBERS SOLVE LINEAR EQUATIONS AND INEQUALITIES GRAPH AND INTERPRET LINEAR EQUATIONS SYSTEMS OF EQUATIONS AND INEQUALITIES EXPONENTS AND POLY NOMIALS SOLVING SYSTEMS OF EQUATIONS QUADRATIC FUNCTIONS AND EQUATIONS RATIONAL FUNCTIONS AND EQUATIONS ELA AUTO/ BIOGRAPHIES EXPOSITORY WRITING RESEARCH PAPER SHORT STORIES LITERARY RESPONSES THE ODYSSEY NARRATIVE WRITING ROMEO AND JULIET LITERARY RESPONSES PERSUSIVE WRITING TO KILL A MOCKINGBIRD TIMED ESSAYS HIST WESTERN POLITICAL THOUGH RISE OF DEMOCRATIC IDEALS INDUSTRIAL REVOLUTION IMPERIALISM AND COLONIALISM WW I TOTALI TARIANISM WW IIPOST WW II GEOM LINES, ANGLES, CONSTRUC TIONS INDUCTION DEDUCTION PROOFS TRIANGLES QUAD RILATERALS AREASIMILARITY RIGHT TRIANGLE TRIG CIRCLES

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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

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Unit 1 Bridge Builder

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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?

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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

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Major Academic Subject Topics and Content English Language Arts Narrative nonfiction Interpreting technical reports Writing news articles Social Studies Gilded Age urbanization, industrialization, innovation, and politics Science Force calculations, vectors, and free body diagrams Corrosion Environmental impact and mitigation Mathematics Solving and graphing linear equations (Trigonometry)

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Subunit 1: Form and Function Lesson and SubjectDescription Lesson 1.1 Principles of Engineering Introduction to Bridges Lesson 1.2 English Language Arts Great Bridges Lesson 1.3 U.S. History Growth in the Gilded Age Lesson 1.4 English Language Arts Site Selection Lesson 1.5 Biology Environmental Mitigation 54

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Subunit 2: Structural Support Lesson and SubjectDescription Lesson 2.1 Physics Principles of Engineering Science of Bridge Structure Lesson 2.2 Algebra I Estimating Live Load Lesson 2.3 Chemistry Rusty Truss Lesson 2.4 English Language Arts Bridge Disaster Report 55

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Subunit 3: Build Your Bridge Lesson and SubjectDescription Lesson 3.1 U.S. History Building the Brooklyn Bridge Lesson 3.2 Principles of Engineering Bridge Blueprints Lesson 3.3 Principles of Engineering Opening Day 56

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T HANKS FOR A TTENDING ! Download curriculum materials from the NAF curriculum library Contact us with questions and suggestions! Pier Sun Ho

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