Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Patel Power of Water - Curriculum Map
Transcript
Power of Water Work Book 1 Power of Water/Dhruti Patel Professional Learning Day; February 28, 2014 Curriculum Map I. II. III. IV. Concepts and Content a. Unit 1: Power of Water i. Conservation of Energy 1. Definition of Energy 2. Potential Energy MS-PS3-2 3. Kinetic Energy - MS-PS3-1 ii. Flow Characteristics 1. Description of Flow 2. Flow in and Flow out of a system 3. Mathematical representation of flow iii. Mass, Volume and Density relationships 1. Mathematical representation of mass Skills and Processes i. Explore the concept of conservation of energy in water ii. Explain the meaning of work iii. Apply a common theory of conservation of mass to a fluid iv. Analyze results from the water bottle activity v. Critically analyze the application of the Power of Water Activities i. Water Bottle Activity 1. Students will measure the flow of water going into a water bottle at a high elevation and coming out at the other one end at a lower elevation. 2. Students will calculate the amount of potential energy converted to kinetic energy and express that value in SI units. 3. Students will quantify the amount of potential energy. Assessments i. Critical analysis of activity and presenting a conclusion. ii. Present an application of the activity 2 Power of Water/Dhruti Patel Professional Learning Day; February 28, 2014 Definitions 1. Flow: (of a fluid, gas, or electricity) move along or out steadily and continuously in a current or stream. 2. Area: The extent or measurement of a surface or piece of land. 3. Velocity: The speed of something in a given direction. Mathematical definition: Flow π = π΄π 4. Kinetic Energy: Energy that a body possesses by virtue of being in motion. 5. Potential Energy: The energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors. 6. Pressure: The continuous physical force exerted on or against an object by something in contact with it. 7. Mass: A coherent body of matter. Mathematical Definition: 1 Kinetic Energy πΎπΈ = 2 ππ£ 2 Potential Energy Pressure ππΈ = ππβ πΉ π=π΄ Mass π = ππ 8. Force: In physics, something that causes a change in the motion of an object. The modern definition of force (an object's mass multiplied by its acceleration) was given by Isaac Newton in Newton's laws of motion. 9. Work: Using a force to move an object a distance (when both the force and the motion of the object are in the same direction.) Mathematical Definition: Force πΉ = ππ Work π = πΉπ Work π = ππΈ + πΎπΈ 3 Power of Water/Dhruti Patel Professional Learning Day; February 28, 2014 Activity CHALLENGE QUESTION CAN YOU MEASURE THE POWER OF WATER? Step One β Establish Study and Orient Team Step Two β Identify Needs and Conditions Step Three β Build Strategy and Execute Step Four β Conclusions Toolkit 4 Power of Water/Dhruti Patel Professional Learning Day; February 28, 2014 Step One Establish Study and Orient Team Use the space below to record ideas that contribute to answering the challenge question. 5 Power of Water/Dhruti Patel Professional Learning Day; February 28, 2014 Step Two Identify Needs and Conditions Continuing from step one, discuss, record and identify your needs and condition to answer the challenge question. Feel free to use any of the resources provided to you. Needs: Conditions Equation Bank Force Work Work Kinetic Energy πΉ = ππ π = πΉπ π = ππΈ + πΎπΈ 1 πΎπΈ = 2 ππ£ 2 Potential Energy Pressure ππΈ = ππβ πΉ π=π΄ Mass Flow π = ππ π = π΄π 6 Power of Water/Dhruti Patel Professional Learning Day; February 28, 2014 Step Three Build Strategy and Execute Based on step two, build a strategy to answer the challenge question and execute. Record your results and data below. Test 1 - Data Collection ____________________________________ ____________________________________ ____________________________________ ____________________________________ Results: ____________________________________ ____________________________________ ____________________________________ ____________________________________ Test 2 - Data Collection ____________________________________ ____________________________________ ____________________________________ ____________________________________ Results: ____________________________________ ____________________________________ ____________________________________ ____________________________________ Test 3 - Data Collection ____________________________________ ____________________________________ ____________________________________ ____________________________________ Results: ____________________________________ ____________________________________ ____________________________________ ____________________________________ 7 Power of Water/Dhruti Patel Professional Learning Day; February 28, 2014 Step Four Conclusions Through your data, results and conclusions, can you answer the challenge question? Conclusions ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Put your answer to the challenge question here: 8 Power of Water/Dhruti Patel Professional Learning Day; February 28, 2014 Bernoulliβs Principle Proof π = βππΈ + βπΎπΈ 1 π = ππβ + ππ£ 2 2 π = πΉπ 1 πΉπ = ππβ + ππ£ 2 2 1 πΉπ = ππβ + ππ£ 2 2 π = ππ 1 πΉπ = πππβ + πππ£ 2 2 π 1 2 πΉ = ππβ + ππ£ π 2 1 2 π = ππβ + ππ£ 2 Flow at Point 1 1 π1 + ππ1 β1 + ππ£12 2 Flow at Point 2 1 π2 + ππ2 β2 + ππ£22 2 Flow at Point 1 has to equal Flow at Point 2 Incompressible Fluid 1 1 π1 + ππ1 β1 + ππ£12 = π2 + ππ2 β2 + ππ£22 2 2 9 Power of Water/Dhruti Patel Professional Learning Day; February 28, 2014
