1. Building Bridges: Math & Science, the Built Environment, and the Common Core

2. Agenda 10:10 – 10:25Overview - Review agenda - Intro to Salvadori 10:25 – 10:50Hands-on Activity: Measuring Force on an Inclined Plane 10:50 – 11:05Unpacking the Salvadori Method - Differentiation - Math Standards & Practices 11:05 – 11:20Sample Extension Exercise: Visual Representations of Fractions 11:20 – 11:25Common Core Math Practices 11:25 – 11:40Summary, Questions, & Feedback Forms

3. Hands-on Activity: Measuring Force with an Inclined Plane

4. Project-Based Learning …activities designed to answer a question or solve a problem, and that generally reflect the types of learning and work that people do in the everyday world outside of the classroom. ~ Buck Institute for Education (www.bie.org)www.bie.org Overview

5. Measuring Force NewtonSpring Scale The unit used for measuring force Hands-on Activity

6. Measuring Force on an Inclined Plane Hypothesis: Which will require the least amount of force to lift the weight?  no ramp (lifting the weight a straight vertical distance)  a long ramp  a short ramp

7. 3 Newtons 2525 2 Newtons 1212 16 inches 12 inches Hands-on Activity

8. Long Ramp Short Ramp No Ramp Hands-on Activity 2 Newtons 1212 3 Newtons 2525 << In order from least force to greatest force…

9. A long ramp Hands-on Activity Conclusion: ___________________ requires less force to lift the weight. Measuring Force on an Inclined Plane Hypothesis: Which will require the least amount of force to lift the weight?  no ramp (lifting the weight a straight vertical distance)  a long ramp  a short ramp

10. Unpacking the Salvadori Method

11. Reflections DifferentiationQuestions I have… Unpacking the Salvadori Method: Differentiation

12. Common Core Standards for Mathematics 2.MD.1Measure the length of an object by selecting and using appropriate tools such as rulers… 2.MD.3Estimate lengths using units of inches… 3.MD.4Generate measurement data by measuring lengths Unpacking the Salvadori Method: Standards

13. Next Generation Science Standards Science & Engineering Practices Developing and Using Models Students in grades 3-5: Use a model to test cause and effect relationships or interactions concerning the functioning of a natural or designed system. Unpacking the Salvadori Method: Standards

14. Next Generation Science Standards Science & Engineering Practices Planning and Carrying Out Investigations Students in grades 3-5: Make observations and/or measurements to produce data to serve as the basis for evidence for an explanation of a phenomenon. Unpacking the Salvadori Method: Standards

15. Sample Extension Exercises: Visual Representations of Fractions

16. 4.NF.A.2 Extend understanding of fraction equivalence and ordering. Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. … Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. Sample Extension Exercise: Visual Representations of Fractions 1 Newtons 3 10 1 Newtons 3535 6 10 or <

17. Common Core Math Practices MP3: Construct viable arguments and critique the reasoning of others. Mathematically proficient students…justify their conclusions, communicate them to others, and respond to the arguments of others. Elementary students can construct arguments using concrete referents such as objects, drawings, diagrams, and actions. Common Core Math Practices

18. MP6: Attend to Precision Mathematically proficient students try to communicate precisely to others. They try to use clear definitions in discussion with others and in their own reasoning. They are careful about specifying units of measure, and… express numerical answers with a degree of precision appropriate for the problem context. Common Core Math Practices

19. Reflections, Questions, & Feedback Forms